## Partial Fraction Decomposition Questions and Answers

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Let a and b be constants. The partial fraction expansion of the rational function ((x - 9) by (x-a)(x-b)) = (A by (x - a)) + (B by (x - b)) with A = _ and B = _ indefinite integral of this rational...

y = (2(4x - 3))/(x^2 - 9) A) Write the partial fraction decomposition for the rational function. B) Identify the graph of the rational function and the graph of each term of its decomposition. C) S...

Let a and b be constants. The partial fraction expansion of the rational function ((x - 5) by (x-a)(x-b)) = (A by (x - a)) + (B by (x - b)) with A = _ and B = _ indefinite integral of this rational...

Let a and b be constants. The partial fraction expansion of the rational function ((x - 7) by (x-a)(x-b)) = (A by (x - a)) + (B by (x - b)) with A = _ and B = _ indefinite integral of this rational...

Complete the following exercise: int_2^3 {x^2 + 3x}/{x^3 + x^2 - x - 1} dx = int_2^3 ({}/{(x + 1)^2} + {}/{x - 1} ) dx = cdots

For the partial fraction decomposition (2x-3)/(x-1)^2 = A/(x-1) + B/(x-1)^2, then find the value of A. a. 3 b. 1 c. 1/2 d. 2

Integration (8 by (x^2 - 4)) dx =. a. 2ln(mod(x-2)) - 2ln(mod(x+2)) + C b. 3ln(mod(x-2)) - 3ln(mod(x+2)) + C c. 4ln(mod(x-2)) - 4ln(mod(x+2)) + C d. ln(mod(x-2)) - ln(mod(x+2)) + C

The integral Integration ((x + 1) by x((x - 1)^3)(2x + 1))dx has a number of fractions equals to. Select one: a. 2 b. 5 c. 3 d. 4

The partial fraction decomposition of ((x+1) by ((x-1)^2)(x^2 + 2)) is (A by ((x-1)^2)) + ((Bx + C) by (x^2 + 2)). Select one. a. True b. False.

The integral Integration ((x+1) by (x(x-1)^2 (2x+1)) dx has a number of fractions equals to: Select one. a. 2 b. 5 c. 3 c. 4

Integration (1 by (x^4 - x^3)) dx=. Select one. a. ln((x - 1) by x) - (1 by x) + (1 by 2x^2) + C b. ln((x - 1) by x) - (4 by x) + (5 by 2x^2) + C c. ln((x - 1) by x) + (1 by x) + (2 by x^2) + C d....

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. \dfrac{x^2 + 4}{x^2(x - 4)} can be put in...

Integration (1 by (x(x^4 + 1))dx. Select one. a. (1 by 4)(ln(mod of((x^2) by (x^2 +1)))) +C b. ln(mod of((x^2) by (x^4 +1))) + C c. (1 by 4)(ln(mod of((x^4) by (x^4 +1)))) + C d. ln(mod of((x^2) by...

integration (1 by (x^4 - x^3))dx = Select one: a. ln (absolute of ((x - 1) by x)) + (1 by x) + (2 by x^2) + c b. ln (absolute of ((x - 1) by x)) - (3 by 2x) + (2 by 2x^2) + c c. ln (absolute of ((x...

Integration (1 by (x^4 - x^3)) dx =. Select one. a. ln((1+x) by x) - (1 by x) + (1 by 2x^2) +C b. ln((1+x) by x) - (3 by x) + (2 by 2x^2) +C c. ln((1+x) by x) - (4 by x) + (5 by 2x^2) +C d. ln((1+x...

Consider the integral of (2x + 4)/(x^3 - 2x^2) dx = integral of A/x + B/x^2 + C/(x - 2) dx. Then B is equal to a. -2 b. 2 c. 0.5 d. 4

Write ((3x + 1) by ((x^2) - 1)^2) as a partial sum. Select one: a. ((A by (x -1) + (B by (x +1))) b. (B by (x-1)) + (A by (x - 1)^2) + (C by (x + 1)) + (D by (x + 1)^2) c. (A by (x - 1)^2) + (D by...

Write out the form of the partial fraction decomposition of the function (x^3 + x^2 + 1)/(x(x - 1)(x^2 + x + 1)(x^2 + 1)^3).

Solve the integral: Integration ((6(x^2)-10(x^4)) by ((x^5) - (x^3))) dx.

For the partial fraction decomposition ((3x - 2) by (x-1)^2) = (A by (x-1)) + (B by (x-1)^2), then A =_.

Let a and b be constants. The partial fraction expansion of the rational function ((x-7) by (x-a)(x-b)) is (A by (x-a)) + (B by (x-b)) with A = _ and B = _. The indefinite integral of this rationa...

Let a and b be constants. The partial fraction expansion of the rational function ((x-4) by (x-a)(x-b)) is (A by (x-a)) + (B by (x-b)) with A = _ and B = _ . The indefinite integral of this rationa...

Identify the form of the partial fraction decomposition of the rational function ((-3(x^2)+10) by (x((x^4)-25))).

Determine the integral. I = \int \frac{2x^2 - 3x + 7}{x^2 - x - 2}dx.

Determine the indefinite integral I = \int \frac{x + 7}{(x + 2)(x - 3)} dx.

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. (a) (x^4)/((x^3 + x)(x^2 - x + 6)) (b) 6/(x^6 - 8x^3)

a) Two friends went out for lunch and decided to share the dessert. One of them ate 1/2 of the dessert, and the other ate 1/3 of the remaining part. What fraction of the dessert was left over? A....

Evaluate the following: a. the integral of (t^5)(cos(t^2)dt b. the integral of (((x^2) + 2)/((x^3) - x))dx

Find the Integral x^3 e^{3x} dx with the help of partial integral.

Determine whether the integral is convergent or divergent. Evaluate if it is convergent. Integral from 2 to infinity of (dv)/(v^2 + 2v - 3).

Evaluate the integral. int x^2 - 2x - 1 over (x - 1)^2 (x^2 + 1) dx

Evaluate \int \frac{4}{x^2 - 4} \, dx.

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. \dfrac{x^2 + 4}{x\left(x^2 - 4\right)} ca...

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{10}{5x^2 - 2x^3}

Evaluate the integral of (1 + 3x)/((1 - x)(3x - 5)) dx. A. 2 ln(absolute 1 - x) - 3 ln(absolute 3x - 5) + C B. 2 ln(absolute 1 - x) - 27 ln(absolute 3x - 5) + C C. -2 ln(absolute 1 - x) - 3 ln(abso...

Integrate the following. A) Integral of (5x^2 - 10x - 8)/(x^3 - 4x) dx. B) Integral of (x dx)/(x^2 + 2x - 3).

Evaluate \displaystyle \int \dfrac{x^2 + x + 2}{x^3 - x}\,dx.

Evaluate the following integral: \int \dfrac{1}{(x +2)(x - 5)} \: dx.

Evaluate the following integral: \int \dfrac{1}{(x +1)(x + 5)} \: dx.

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^2 - 1}{x^3 + x^2 + x}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x}{x^2 + x - 2}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^4 - 2x^3 + x^2 + 2x - 1}{x^2 - 2x + 1}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^6}{x^2 - 4}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{1 + 6x}{(4x - 3)(2x + 5)}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^4}{\left(x^2 - x + 1\right)\left(x^2 + 2\right)^2}

Find the area of the region bounded by the curve y = 10/(x^2 - 2x - 24), the x-axis, and the lines x = -2 and x = 2.

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^2}{x^2 + x + 2}

a. Show that (10)/((x^2)((x^2) + 5)) = (2/(x^2)) - (2)/((x^2) + 5). b. Evaluate the integral of 10)/((x^2)((x^2) + 5))dx

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{t^6 + 1}{t^6 + t^3}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^4 + 1}{x^5 + 4x^3}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^5 + 1}{\left(x^2 - x\right)\left(x^4 + 2x^2 + 1\right)}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{1}{\left(x^2 - 9\right)^2}

For the partial fraction decomposition (5x + 2)/((x + 3)(x - 1)) = A/(x + 3) + B/(x - 1), then B = A. 7/4 B. -7/4 C. 13/4 D. -13/4

Evaluate the integral of (4x-3)/(x^2-x-2)dx. a. (5/3)ln(x-2)+(7/3)ln(x+1)+c. b. (5/3)ln(x-2)-(7/3)ln(x+1)+c. c. (5/3)ln(x+1)-(7/3)ln(x-2)+c. d. (5/3)ln(x+1)+(7/3)ln(x-2)+c

Find the partial fraction decomposition for \dfrac{x^3 + x^2 + 2x + 4}{\left(x^2 + 1\right)^2} by solving for A and B: \dfrac{x^3 + x^2 + 2x + 4}{\left(x^2 + 1\right)^2} = \dfrac{A}{x^2 + 1} + \dfr...

Evaluate \displaystyle \int \dfrac{2x^4 - 2x^3 + 6x^2 - 8x + 8}{x^5 + 4x^3}\,dx.

Using the Partial Fraction Technique, evaluate the given integral: int x/(x - 9)^2 dx

Integrate \displaystyle \int \dfrac{\cos x}{\sin^2x + 4\sin x - 5}\,dx. (a) \dfrac{1}{6}\ln \Bigg| \dfrac{\sin x - 1}{\sin x + 5} \Bigg| + C (b) \dfrac{1}{6}\ln \Bigg| \dfrac{\cos x - 1}{\cos x +...

Split \dfrac{5x^2 - 13x - 10}{x(2x + 1)(x + 2)} into partial fractions.

Consider the indefinite integral \displaystyle \int \dfrac{3x^3 + 2x^2 + 1x - 2}{x^2 - 1}\,dx. Then the integrand decomposes into the form ax + b + \dfrac{c}{x - 1} + \dfrac{d}{x + 1} where a =...

Determine the partial fraction decomposition (form only, i.e., do not solve for arbitrary constants) for the following: f(x) = \dfrac{4}{\left(1 + 2x^2\right)\left(3x^2 - x\right)}

Determine the partial fraction decomposition (form only, i.e., do not solve for arbitrary constants) for the following: m(x) = \dfrac{3x - 1}{6x^2 + 5x + 1}

The form of the partial fraction decomposition of a rational function is given below. \dfrac{-\left(x^2 + 4x + 46\right)}{(x - 1)\left(x^2 + 16\right)} = \dfrac{A}{x - 1} + \dfrac{Bx + C}{x^2 + 16...

Evaluate the integral. \int_(0)^(1) \frac(2)(2x^2 + 3x + 1) dx

The partial fraction decomposition of \dfrac{-x^2 + 8x + 8}{x^3 + 4x^2 + 4x + 16} can be written in the form of \dfrac{f(x)}{x + 4} + \dfrac{g(x)}{x^2 + 4} where f(x) = \rule{2cm}{0.4pt} \\ g(x) =...

The partial fraction decomposition of \dfrac{9x + 20}{12x^2 - 5x - 25} can be written in the form of \dfrac{f(x)}{4x + 5} + \dfrac{g(x)}{3x - 5}, where f(x) = \rule{2cm}{0.4pt} \\ g(x) = \rule{2cm...

True or false? The partial fractions decomposition of \dfrac{1}{x^2 + x -2} has the form \dfrac{A}{x + 1} + \dfrac{B}{x - 2} where A,\, B are some constants.

Given the following partial fraction decomposition, find the values of A, B, and C. \dfrac{7x + 3}{(x - 1)\left(x^2 + 4\right)} = \dfrac{A}{x - 1} + \dfrac{Bx + C}{x^2 + 4}

Write out the form of the partial fraction decomposition of the function. x^2 over x^2 + x - 6

Evaluate the integral. int_3^4 x^3 - 2x^2 - 4 over x^3 - 2x^2 dx

Find the integral by partial fraction decomposition. Integral x^2-11x-18/x(x^2+3x+3) dx

Evaluate the integral. Integral of (5x^2 - 10x - 8)/(x^3 - 4x) dx.

Integrate by partial fractions: \int \dfrac{x^2 + 3x - 2}{x^4 - 2x^3 + x^2}\,dx.

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{3x + 1}{\left(x + 1\right)^3\left(x^2 + 7\right)^2}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. \dfrac{x^3}{x^2 + 3x + 2}

Using the Partial Fraction Technique, evaluate the given integral: \int \dfrac{x}{(x - 6)^2}\,dx.

Given that \dfrac{x^2}{x^2 - 1} = A + \dfrac{B}{x - 1} + \dfrac{C}{x + 1}. a) Find A, B and C. b) Hence, evaluate \int \dfrac{x^2}{x^2 - 1}\,dx.

Choose the right partial fraction for \dfrac{x^2 - 3x - 1}{x^2\left(x^2 + 2\right)^2}. i. \dfrac{A}{x} + \dfrac{B}{x^2} + \dfrac{Cx + D}{\left(x^2 + 2\right)^2} ii. \dfrac{A}{x} + \dfrac{B}{x^2} +...

If \int \dfrac{x - 1}{(x - 5)(x + 7)}\,dx = \dfrac{A}{x - 5} + \dfrac{B}{x + 7}, then A + B = (a) 1 (b) 5 (c) 12 (d) 7

Evaluate the integral. Integral of (dt)/(2t^2 + 3t + 1).

Decompose the fraction \dfrac{1}{x^2 + 1} into two parts. Hint: \sqrt{-1} = i.

Decompose frac{x^4+x^3-x-1}x-1)(x^3+x into real partial fractions.

Integrate by using partial fraction. Integral of (2x^2 + 3x - 1)/((x + 2)(x^2 + 1)) dx.

Use the Table of Integrals to evaluate the integral. Integral of (dx)/(2x^3 - 3x^2).

If f is a quadratic function such that f(0) = 1 and the integral of (f(x))/(x^2 (x + 1)^3) dx is a rational function, find the value of f'(0).

Which of the following represents the form of the partial fraction decomposition of the function \dfrac{1}{(x - 9)^2}? (a) None of the other choices (b) \dfrac{A}{x - 9} + \dfrac{B}{x - 9} (c) \dfr...

Evaluate the integral. Integral of (x - 1)/(x^2 + 2x) dx.

Use a system of equations to find the partial fraction decomposition of the rational expression. Solve the system using matrices. \dfrac{7x^2 - 27x - 10}{(x + 5)(x - 5)^2} = \dfrac{A}{x + 5} + \dfr...

If the following function can be expressed in partial fractions as shown: y = \dfrac{1}{(x + 1)(x - 2)} = \dfrac{A}{(x + 1)} + \dfrac{B}{(x - 2)} find the values of A and B. Hence integrate this fu...

Evaluate the integral. Integral 1/(1 + 2e^x - e^(-x)) dx.

Find the integral by partial fraction decomposition. Integral 7x+3/x^3-2x^2-3x dx

Find the integral by partial fraction decomposition. Integral 3x/x^2-4 dx

Find the integral by partial fraction decomposition. Integral 3x/(x+2)(x-3) dx

Integrate the following using partial fractions. int 2x^2 + 3 over (x^2 + 1)^2 dx

Integrate the following using Partial Fractions. int x dx over x^2 - 3x - 4

True or false? The partial fraction decomposition of \frac{x + 1}{(x - 1)^2 (x^2 + 2)} is \frac{A}{(x - 1)^2} + \frac{Bx + C}{x^2 + 2}.

Evaluate \int \frac{1}{x^4 - x^3} \, dx.

By using partial fraction, determine the integral. int 3x^2 + x + 27 over x^3 + 9x dx

Evaluate the integral of (5x^2 - 10x - 8)/(x^3 - 4x) dx.

Use partial fractions to solve the integral. Integral 4/(x^3+4x) dx

Use partial fractions to solve the integral. integral (5x^2-3)/(x^3-x) dx

Use the partial fraction decomposition, evaluate the integral. integral 3y^3+25y^2+57y+67/(y+5)^2(y+1)^2 dy.

Use the formula for arc length, = \int_{a}^{b} \sqrt{1 + (f'(x))^2}dx, to set up the calculation for the length of the curve y = x^3 on the interval (0,2). (Note, you do not need to solve this int...

Use partial fractions to find integral (4x^2 + 2x - 1) / (x^3 + x^2) dx.

Using linearization, determine the approximation of f(x,y) = x^2 + y^2 at (1.05, 1.05).

Find the partial fraction decomposition for the rational expression. 17x + 108 over (x + 9)(x + 4)

Find the integral of (x + 3)/(2x^3 - 8x) dx.

Find the integral of (x + 4)/(x^3 + 6x^2 + 9x) dx.

Find the integral of (dx)/(x^2 + 2x).

Find the integral of (3x^2 + 5x + 8)/(x^2 + 1)(x + 2) dx.

Find the integral of (x^2 + 8x - 3)/(x^3 + 3x^2) dx.

Expand the quotient \frac{5x - 13}{(x - 3)(x - 2)} by partial fractions.

Evaluate the following: integral of 1/(x^2 - 3x - 18) dx.

Find the integral of 1/(x^4 - x^3) dx.

Evaluate the following integral. int 4x^2 + 3x + 7 over (x + 1)(x^2 + 1) dx

Use partial fraction decomposition and evaluate int 2x^2 + 7x + 7 over x^3 + 4{x^2} + 3x dx.

Use partial fractions to evaluate the following. int 2x^2 + 3x + 6 over (x + 3)(x + 2)(x - 2) dx

Solve the following integral, if possible. int 6x^2 - 10x^4 over x^5 - x^3 dx

Find Partial fraction of the function a) (x^{2} - 1) / (x^3 + 3 x + 4)

Evaluate. int x^3 - 4x - 10 over x^2 - x - 6 dx

Evaluate. int 2x^2 - 10x + 4 over (x + 1)(x - 3)^2 dx

Evaluate the following integral. int x^2 + x - 1 over x^3 - x dx

If 3x +5/(x + 2)^2 = A/(x + 2) + B/((x + 2)^2) then find the value of A and B.

Compute the following integral. int_2^3 x^2 + x + 1 over x^2 + 3x dx

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. 6/(x^2 -9)^2

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.(x^4 + 5)/(x^5 + 2x^3)

Integrate the following partial fractions. ((x^3 -2 )/(x - 3)(x+2))dx

Evaluate the following using partial fraction: \int \dfrac{1}{(x-1)(x^2 + 2)} \: dx.

Find values of A, B and C. ((3x^2 + 1)/(x - 1)(x +1)^2)dx =( A/(x - 1) + B/(x+1) + C/(x+1)^2))dx

Evaluate the integral.x2+8x-3/x3+3x2dx

Evaluate the following integral. int x^5 + x - 1 over x^3 + x dx

Evaluate the integral when x greater than 0. int ln (x^2 + 7x + 10) dx

Evaluate the integral. Integral of (2x^2 - 3)(x(x + 1)^3) dx.

Evaluate the integral. int x^2 - 16x - 5 over (x - 1)^2 (x^2 + 1) dx

Evaluate the integral. int - 7(x - 9) over (x + 5)(x - 2) dx

Evaluate the integral. int x^2 + 1 over (x - 8)(x - 7)^2 dx

Evaluate the integral. int 26 over (x - 1)(x^2 + 25) dx

Evaluate the integral. int x - 12 over (x + 3)(x - 2) dx

Evaluate the indefinite integral. int x^3 + 14 over x^2 + 5x + 6 dx

Find: int 2(1 + s) over s(s^2 + 3s + 2) ds

Evaluate the integral. int 7 over x^3 - 1 dx

Evaluate the integral. int x - 7 over x^2 - 18x + 82 dx

Evaluate. int -18x + 13 over (3x - 5)(x + 4) dx

Evaluate. int 7x + 13 over (x - 1)(x + 3) dx

Write out the form of the partial fraction decomposition of the function appearing in the integral: integral of (2x - 70)/(x^2 + 2x - 35) dx.

Evaluate the following integral: the integral from 2 to 3 of (x^2 + 3x)/(x^3 + x^2 -x -1)dx

Evaluate the integral. int x^2 + x + 3 over (x + 2)^2 (x + 3) dx

Evaluate the integral. int 3x - 1 over (x^2 + 1)(x + 1) dx

Evaluate the integral. int 5 over (x - 1)(x^2 + 4) dx

Evaluate the definite integral. int_1^2 2y^2 + 3y - 3 over y(y + 1)(y - 3) dy

Evaluate. int 2x^2 - x + 4 over x^3 + 4x dx

What is the antiderivative of the integral of (5x + 3)/(x^3 - 2x^2 - 3x) dx?

Evaluate the integral. int x - 3 over (x + 4) (x - 2) dx

Evaluate the indefinite integral. \int \frac{2x^2 + 3}{x(x - 1)^2} \, dx

Evaluate the integration: Integral from 0 to 1 of (x^3 - x + 20)/(x^3 + 5x) dx. Factorize (x^3 - x + 20)/(x^3 + 5x) using partial fraction.

Evaluate the indefinite integral. \int \frac{3x^2 - x + 1}{x^3 - x^2} \; dx

Evaluate the integral. int x^2 + 3x - 5 over (x + 1)^2 (x - 4) dx

Use partial fractions to find the indefinite integral. int - 5x - 58 over x^2 - 2x - 48 dx

Evaluate the integral of (2x^3 - 4x^2 - x - 3)/(x^2 - 2x - 3) dx.

Evaluate the integral of (x^3 + 2x + 5)/(x + 1)(x^2 + 1) dx.

Integrate the following function with a detailed solution. Integral of (5x^2 + 20x + 6)/(x^3 + 2x^2 + x) dx.

Integrate by partial fraction method a) integral -2 x + 4 / x( x + 5 )( x - 1) d x

Use Partial Fraction Decomposition to find the following integral. a) integral -4 x + 3 / x^{2} + x - 6 d x

Evaluate the integral. int 1 over (x + a)(x + b) dx

Evaluate the integral. int_1^2 4y^2 - 7y - 12 over y(y + 2)(y - 3) dy

Evaluate the integral. int dx over x(x^2 + 4)^2

Factorize x^3 + 1 over x^3 - 3x^2 + 2x using partial fractions.

Evaluate the integral. int 5x^2 - 12x + 4 over (x^2 + 4)(x - 3) dx

Evaluate the integral \\ \int \dfrac{3x^2 - 6x - 1}{x^3 - 3x^2 - x + 3}dx using \dfrac{A}{x-3} + \dfrac{B}{x+1} + \dfrac{C}{x-1}.

Write the partial fraction decomposition of \frac {x^2 + x + 2}{x^4 - 2x^2 + 1}.

Evaluate the integral \int \dfrac{3x^2 - 2x - 14}{x^3 -x^2- 14x+24}dx using \dfrac{A}{x-2} + \dfrac{B}{x+4} + \dfrac{C}{x-3}

Evaluate the integral. Integral of (dx)/(x^3 - x^2); use A/x + B/x^2 + C/(x - 1).

Evaluate the integral. int x^2 - 12x - 1 over (x - 1)^2 (x^2 + 1) dx

Use partial fractions to find the integral: integral of (x^2 - 1)/(x^3 + x) dx.

Use partial fractions to find the integral: integral of (x + 2)/(x^2 - 4x) dx.

Use partial fractions to find the integral: integral of (x^2 + 12x + 12)/(x^3 - 4x) dx.

Integrate the integral of (x^2 - x + 6)/(x^3 + 3x) dx. A) The partial fraction decomposition is (write all terms as fractions): _____. B) The final answer is: _____.

Find the integral of (2x^2 - 1)/(x^2 + 1)(4x - 1) dx.

Evaluate the integral of (sin x cos x)/(sin^4 x + sin^2 x) dx.

Evaluate the indefinite integral. integral of (x^3+61)/(x^2+5x+4) dx =

Find: integral of (8(1+s))/(s(s^2+9s+8)) ds =

The partial fractions decomposition of 1/(x^2 + x - 2) has the form A/(x + 1) + B/(x - 2) where A, B are some constants. True or False?

Evaluate the integral. int dx \over x + x sqrt x

Evaluate the following integral using the partial fraction decomposition. (x^2 + x -1) / (x^2 + 7x + 12)(x^2 + 2) dx

Using the partial fraction decomposition, evaluate the following integral. (3x+1) / ((x+1)^(3) (x+1) dx

Evaluate the integral using partial fractions. Integral of (cos theta)/(sin^2 theta + 4sin theta - 5) d theta.

Evaluate the integral using partial fractions. Integral of (x^3 + 1)/(x(x - 1)^3) dx.

Evaluate the integral of (3(x^2) - 2)/(x^2 - 2x - 8) dx

Evaluate integral x^2 + 1/(x - 1)(x - 2)(x - 3) dx by partial fraction decomposition.

Evaluate the following integral using partial fraction decomposition. \int 8 \over (x - 2) (x + 6) dx

If the following function can be expressed in partial fractions as shown: y = 1 \over (x + 1)(x - 2) = A \over (x + 1) + B \over (x - 2) find the values of A and B. Hence integrate this function.

Evaluate the following indefinite integrals. Integral of (x + 1)/(x^2 + 7x + 12) dx.

Evaluate the integral of (x - 4)/(x^2 + 4x + 3) dx.

Use Partial fraction to evaluate the integral of 1/(x - 1)(x^2 + 2) dx.

Evaluate the integral of (x^2 + 1)/(x - 3)((x - 2)^2)dx

Evaluate the integral of (x^2 + 2x - 1)/(x^3 - x) dx

Evaluate the integral from 0 to 1 of (2)/((2(x^2) + 3x + 1)) dx

Evaluate the integral of (y)/((y + 4)(2y - 1))dy

Find the integral of 4(1 + s)/s(s^2 + 5s + 4) ds.

Evaluate the integral. Integral from -2 to 1 of 1/((x + 5)(x^2 + 9)) dx.

Evaluate the integral of (3x^2 - 7)/(x^3 - 7x + 6) dx using A/(x - 1) + B/(x + 3) + C/(x - 2).

Without using a calculator, find \int \frac{2x}{4x^2 + 12x + 9} dx

Use partial fraction to evaluate the given intergral

\You are tutoring a student in algebra. In trying to find a partial fraction decomposition, your student writes the following. Your student then forms the following system of linear equations. Solv...

Compute the following integral with respect to x. Assume all other quantities are constants. integral (x + a)/(x((b - 1)x - a)) dx

Solve: 4/5-2/5

Find \int \frac{3x + 5}{5x^2 - 4x - 1}

Solve using the partial fraction method. \int_2^3 \frac{x^2 + 3x}{x^3 + x^2 - x - 1} \; dx = \int_2^3 \left ( \frac{}{(x + 1)^2} + \frac{}{x - 1} \right ) \; dx

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. (x-2)/(x^2+4x+3)

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 12/x^3-10x^2

Write the partial fraction decomposition of the rational expression. Check the result algebraically. (x^2+2x)/(x^3-x^2+x-1)

Write the partial fraction decomposition of the rational expression. Check the result algebraically. (4-x)/(x^2+6x+8)

Write the partial fraction decomposition of the rational expression. Check the result algebraically. -x/(x^2+3x+2)

Write the partial fraction decomposition for the rational expression. {x^3 + x^2 + x + 2}/{x^4 + x^2}

Write the partial fraction decomposition for the rational expression. {5x-2}/{(x-1)^2}

Find all solutions of the equation. x^4 - 19x^2 + 48 = 0

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. \frac{4x^2 + 3}{(x-5)^3}

Write the partial fraction decomposition for the rational expression. \frac{4x^2 + 2x - 1}{x^2 (x+1)}

Find the partial fraction decomposition of 4 x^3 + 1 / (x^2 - 1) (x^2 + 1).

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. \frac{6x + 5}{(x+2)^4}

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants.

Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. \frac{x^2 - 3x +2}{4x^3 + 11x^2}

Write the partial fraction decomposition for the rational expression. \frac{3}{x^2 - 3x} Check your result algebraically by combining fractions, and check your result graphically by using a graphin...

Write the partial fraction decomposition for the rational expression. \frac{1}{x^2 + x} Check your result algebraically by combining fractions, and check your result graphically by using a graphing...

Write the partial fraction decomposition for the rational expression. Check your result algebraically by combining fractions, and check your result graphically by using a graphing utility to graph...

Write the rational function as a sum of partial fractions. 2 x^2 + 7 x - 1 / x (x^2 - 1)

Write the rational function as a sum of partial fractions. 3 x^2 + 8x - 1 / x(x^2 - 1)

Write the rational function as a sum of partial fractions. 4 x^2 + 7 x - 1 / x(x^2 - 1)

Find the partial fraction decomposition \displaystyle{ \dfrac{ 4x}{x^2 x 2}. }

Evaluate the following integral. integral x + 7 / x^2 . (x + 2) dx

Write the rational function as a sum of partial fractions. (2x2 + 7x - 1)/x(x2 - 1)

Evaluate the integral. integral 3 x + 8 / (x - 1)(x + 1)^2 dx

Evaluate integral x / (x + 1) (x^2 + 2) dx.

Evaluate the integral. integral x + 20 / x^2 - 13 x + 42 dx

Integrate the following equation.

Evaluate the following integral. \int \frac{x^2 + 6}{x^2 - x - 6} dx

By the alternating series test, the series converges. Find its sum. First, find the partial fraction decomposition. Then find the limit of the partial sums.

Evaluate the integral integral 1 x^2 - 2 x - 1 / (x - 1)^2(x^2 + 1) dx.

Evaluate the integral. integral -5 x^3 / x^3 + 1 dx

Evaluate the integral. 10 e^x^(1/3) x^(-2/3) + 3 x^2 + 1 / ((x + 2) (x + 3))

Let a and b be positive constants. The indefinite integral can be written in the form F(x) + C where C is an arbitrary constant. Then F(x) is equal to:

Given that. Solve each individual integral of the partial fraction decomposition.

Evaluate using the partial fraction method. integral x + 3 / (x + 2)^2 (x - 3) dx

Evaluate the integral. integral 6 / x^2 + x - 2 dx

If you split the following rational function into a sum of partial fractions, how many partial fractions would be in the resulting sum? (x15 + 2x14 + x13 - x12 + x11 - x10 + x9 + x8 - x7 - x6 + 2x5...

Find the indefinite integral by using the method of partial fractions \displaystyle{ \int \dfrac{ 9x + 11}{x^2 15x + 54} \mathrm{ d}x . }

Integrate fraction 4x^3 + 2x^2 - 6x - 48 x^4 - 8x^2 - 9 dx using partial fraction decomposition.

Explain why a packed fractionating column (steel wool inside the glass tube) is more efficient than an unpacked one for distillation.

Use partial fraction method to evaluate the integral integral 2 x^2 + 7 x - 15 / 3 x + 2 dx.

If 1 / (3 x + 2) (x + 2) = A / 3 x + 2 + B / x + 2 then the values of A and B are _____.

Evaluate the following. integral 5 x^3 - 3 x^2 + 2 x - 1 / x^4 + x^2 dx

Using partial fraction method to evaluate the integral \int \dfrac{3x + 2}{2x^2 + 7x - 15} \: dx, determine whether the following system is true or false: We can evaluate the given integral on the...

Using partial fraction method to evaluate the integral \int \dfrac{3x + 2}{2x^2 + 7x - 15} \: dx, what is the value of \int_{2}^{4} \dfrac{3x + 2}{2x^2 + 7x - 15} \: dx?

Using partial fraction method to evaluate the integral \int \dfrac{3x + 2}{2x^2 + 7x - 15} \: dx, what is the antiderivative of the integral?

Using partial fraction method to evaluate the integral \int \dfrac{3x + 2}{2x^2 + 7x - 15} \: dx, what is the partial fractions for the integrand?

For the partial fraction decomposition find A, B and C fraction - 5x^2 + 4x - 10 x x^2 + 5 = fraction A x + fraction Bx +C x^2 + 5

For the function f x = fraction 2x^2 -5x +2 x^3 +x Find the a. Partial fractions decomposition. b. Value of constant A. c. Value of constant B. d. Value of constant C.

Given that the partial fractional decomposition for the integral integral fraction 4x + 1 x^3 + 8x dx = integral fraction A x dx + integral fraction Bx + C x^2 + B dx Which of the following represe...

Suppose f is a proper rational function whose PFD is f x = fraction 1 2x - 3 + fraction 2 2x - 3^2 + fraction 3x + 4 x^2 + 4 Find integral f x dx.

Evaluate the integral. Use C for the constant of integration. integral fraction 7x^2 - 2x x - 3^22x + 3 dx

Evaluate the following integral: \int \dfrac{x + 2}{(x + 1)(x - 2)^2} \: dx.

Use substitution and partial fractions to find the indefinite integral. Use C for the constant of integration. integral fraction e^x e^x -4 e^x+7 dx

Set up do not solve the partial fraction decomposition for fraction 4x - 3 x^2 x + 3 x^2 + 2x +9 x^2 + 1^3

Evaluate the integral. integral 0^1 fraction x^3 x^2 +2x + 1 dx

Use partial fractions to find the indefinite integral. integral fraction 5x x - 2^2 dx

Evaluate integral x^2 / x^2 + 4 x + 3 dx.

Evaluate integral_3^5 4 y^2 - 7 y - 12 / y^3 - y^2 - 6 y dy.

Find the following integration using the partial fraction. integral 3 x^2 + x + 4 / x^3 + x dx

Evaluate the integral using partial fractions decomposition: I=\int \frac{6x^{2}+x-3}{x^{3}-x}dx

Express the integrand as a sum of partial fractions and evaluate the integral. integral fraction -2x^2 + 8x + 8 x^2 + 4 x-2 ^3 dx

Express the integrand as a sum of partial fractions and evaluate the integral. integral fraction 5x^2 + x + 36 x^3 + 9x dx

Express the integrand as a sum of partial fractions and evaluate the integral. integral fraction x^3 x^2 + 4x + 4 dx

Express the integrand as a sum of partial fractions and evaluate the integral. fraction 3x^2 - 11 x +4 x^3 - 3x^2 + 2x dx

Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions. integral fraction 3x^4+ 15 x^2 + 5 x^3 + 5x dx

Decompose the following into polynomial and partial fractions. fraction x^5 + 3x^3 - x^2 +x +2 x^2 x^2 + x + 1

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. (x ^2)/(x^2 + x + 20)

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. (x - 20)/(x^2 + x - 20)

Evaluate the integral. integral 0^3 fraction x^2 + x + 1 x+1^2 x+2 dx

Write out the form of the partial fraction decomposition of the function fraction x^2-1 x^3 + x^2 + x

Write out the form of the partial fraction decomposition of the function fraction x^4 + 2x^3 + x^2 + 5x - 4 x^2 - 2x + 1

Evaluate the integral. Use C for constant of integration. intergal fraction 5 x-1 x^2+4 dx

Evaluate. The integral of (x - 1)/(x^2 + 2x) dx.

Find the definite integral: int_{-2}^{2} dx/x(x-2).

Evaluate the integral. integral fraction 1 x^3+x^2 - 2x dx

Evaluate the integral using partial fraction decomposition. integral e^x / (e^2 x + 1)(e^x - 1) dx

Evaluate the integral using partial fraction decomposition. integral 4 x - 2 / 3 (x -1)^2 dx

Evaluate: \int_2^3 \frac {3x - 2}{x^3 - x^2} dx

Evaluate: \int \frac {y^3 - 4y - 1}{y(y - 1)^3} dy

Evaluate: \int \frac {x + 5}{x^3 - 2x^2 + x} dx

Find the partial fraction decomposition of the following rational expression. Find the constant. fraction {-3x-23}{x^2-x-12}

Find the partial fraction decomposition of the following rational expression. Find the constant. fraction {8x-36}{x-5^2}

Expand the fraction by partial fraction. 3 x + 5 / (x + 4)^2 (x^2 + 3)

Find the integral. integral 5 x^2 - 9 x + 6 / x^3 - 2 x^2 + x dx

Express the integrand as a sum of partial fractions and evaluate the integral. integral 3 x^2 + x + 4 / (x^2 + 3) (x - 5) dx

Use partial fractions to give the exact value of the definite integral. integral_0^1 1 + x + x^3 / (1 + x^2)^2 dx

Write the partial fractions form for 1 / x^2(x^2 + 2).

Solve the derivative of f(x)=(x-1)^2(x-4)(x+2)^-1/2.

Integrate the following and don't simplify. integral (x - 4) / (x - 1)^2 (x - 2) dx

Integrate the following and don't simplify. integral (x^2 - x - 1) / (x - 2) (x + 3) (x - 4) dx

The partial fractions decomposition of -6x + 5 / -3 x^2 + 5 x + 2 is ____.

The partial fractions decomposition of -4 x^2 - 4 x + 6 / x^3 - 3x - 2 is _____.

Evaluate the following integral. integral x + 1 / x^2 - x^3 dx

Express the given integrand as a sum of partial fractions, then evaluate the integrals. integral 5 x^2 - 17 / x^4 - 1 dx

Find the partial fraction decomposition for the rational expression. 6 x + 14 / (x + 2)(x + 4)

Integrate by partial fractions: integral x^3 + 6 x^2 + 2 x + 3 / (x - 1) (x + 2)(x^2 + 1) dx

Consider the following DE: y' = y^2 - 6y - 16. Sketch the graph of the solution satisfying the following initial condition: y(0) = 5.

Consider the following DE: y' = y^2 - 6y - 16. Sketch the graph of the solution satisfying the following initial condition: y(0) = -10.

Find the partial fraction decomposition of the following function: \dfrac{21x^2 - 43x + 20}{(3x - 2)(x - 1)^2}.

Make a substitution to express the integrand as a rational function and then evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) integ...

Solve the following shifted data IVP using the Laplace Transform. y'' + 2y' - 3 y = -8 e^7 - t; y (7) = 1, y' (7) = -3

What is the form of the partial fraction decomposition of a rational function P(x)/Q(x) if the degree of P is less than the degree of Q and Q(x) has only distinct linear factors? What if a linear f...

Find the indefinite integral. Integral of 1/(3 - 9x^2) dx.

If a is not equal to 0 and n is a positive integer, find the partial fraction decomposition of f(x) = 1/(x^n (x - a)).

Find the length of the curve defined by the parametric equations x=4/2 t, y=4ln((t/2)^2-1) from t=7 to t=9.

Express the integrand as a sum of partial fractions and evaluate the integral. \int \frac {6x^2 + x + 45}{x^3 + 9x} dx

Find the indefinite integral. Integral of -1/(4x - x^2) dx.

Use partial fraction to solve: \int \frac{1}{(x-2)(x-1)^2}dx

Use the Table of Integrals to evaluate the integral of dx/(2x^3 - 3x^2).

Evaluate the integral of (2x^3 - 13x^2 + 18x - 4)/((x - 3)^2 (x^2 + 4)) dx.

Evaluate the following indefinite integral. \int \frac {5x^2 - 3}{x^3 - x} dx

Evaluate the integral. \int \frac{x^2}{(x-1)(x^2+4x+5)} dx

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. 1 / x^2 + x^4

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. x - 6 / x^2 + x - 6

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. 1 - x / x^3 + x^4

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. 4 + x / (1 + 2 x) (3 - x)

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. x^2 + 4 / x^2 (x - 4) can be put in the fo...

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. x (x^2 + 4) / x^2 - 4 can be put in the fo...

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. x^2 + 4 / x (x^2 - 4) can be put in the fo...

Evaluate the following integral. \int \frac{2x - 1}{(x^2 - x - 2)\sqrt{x + 2}} dx

Evaluate the integral. int 2x - 5 / x^2 + 2x + 2 dx

Find the indefinite integral: x^3-6x-20/x+5 dx

Evaluate the integral. Integral from 2 to 4 of (x + 2)/(x^2 + 3x - 4) dx.

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. {x^2 - 4} / {x (x^2 + 4) }can be put in th...

Evaluate the integral. integral {3 x^3 - x^2 + 6 x - 4} / {(x^2 + 1) (x^2 + 2)} dx

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. {x^5 + 1} / {(x^2 - x) (x^4 + 2 x^2 + 1)}

Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. {t^6 + 1} / {t^6 + t^3}

Evaluate the integral. integral_0^1 {x - 4} / {x^2 - 5 x + 6} dx

Evaluate the integral. integral {5 x + 1} / {(2 x + 1) (x - 1)} dx

Evaluate the integral. integral y / {(y + 4) (2 y - 1)} dy

Evaluate the integral. integral_1^2 {4 y^2 - 7 y - 12} / {y (y + 2) (y - 3)} dy

Make a substitution to express the integrand as a rational function and then evaluate the integral. integral {dx} / {1 + e^x}

Evaluate the integral. integral {5 x^4 + 7 x^2 + x + 2} / {x (x^2 + 1)^2} dx

Evaluate the integral. integral {x^3 + 2 x^2 + 3 x - 2} / {(x^2 + 2 x + 2)^2} dx

Evaluate the integral. integral_0^1 {x^2 + x + 1} / {(x + 1)^2 (x + 2)} dx

Evaluate the integral. integral_2^3 {x (3 - 5 x)} / {(3 x - 1) (x - 1)^2} dx

Evaluate the integral. integral_1^2 {3 x^2 + 6 x + 2} / {x^2 + 3 x + 2} dx

Evaluate the integral. integral {dt} / {(t^2 - 1)^2}

Evaluate the integral. \int_{0}^{1}\frac{3x^2+1}{x^3+x^2+x+1}dx

Make a substitution to express the integrand as a rational function and then evaluate the integral. \int \frac{e^{2x}}{e^{2x}+3e^x+2}dx

Make a substitution to express the integrand as a rational function and then evaluate the integral. \int \frac{dx}{x^2+x\sqrt{x}}

Evaluate the integral. int (x^3 + 6x - 2)/(x^4 + 6x^2) dx

Evaluate the integral. \int \frac{4x}{x^3+x^2+x+1}dx

Evaluate the integral. \int \frac{x^2-x+6}{x^2+3x}dx

Evaluate the integral. \int \frac{dx}{x^4-16}

Evaluate the integral. \int \frac{1}{x^2\sqrt{4x+1}}dx

Evaluate the integral. \int \frac{x^2-3x+7}{(x^2-4x+6)^2}dx

Evaluate the integral. \int \frac{x^3-2x^2+2x-5}{x^4+4x^2+3}dx

Evaluate the integral. \int \frac{x^3+4x+3}{x^4+5x^2+4}dx

Evaluate the integral. \int \frac{dx}{x\sqrt{x^2+1}}

Evaluate the integral. \int \frac{x-1}{x^2+2x}dx

Reduce \frac {10x - 31}{x^2 - 5x + 4} by way of partial fraction decomposition.

Reduce \frac {x - 7}{(x + 1)(x - 3)} by way of partial fraction decomposition.

Evaluate the following integral. integral {x^2 - 19} / {x^3 - 2 x^2 + x} dx

Find the partial fraction decomposition of the integrand \int \dfrac{x^2 - 17}{x^3 - 2x^2 + x} dx.

Evaluate the following integral: \int \dfrac{x^2 - 17}{x^3 - 2x^2 + x} dx.

Evaluate the following integral. I = integral {-x + 27} / {x^2 + x - 30} dx

Calculate the integral below by partial fractions and by using the indicated substitution. First, rewrite this with partial fractions. Next, use this substitution to find the integral: w = x^2 - 25...

Find the inverse Laplace transform of the following function of X(s). \mathscr{L}^{-1} \left [ \frac {2s - 5}{(9s^2 - 25)^2} \right ]

Expand the quotient by partial fractions. {3 x + 2} / {x^2 - 10x + 25} (Simplify your answer.)

Evaluate the integral. integral {-3} / {(x - 2) (x^2 + 4)} dx

Calculate the integral. integral 1 / {x^2 + 15 x + 56} dx

The partial fraction decomposition of fraction {-3x^2 -32}{x^3+4x^2+4x+16} can be written in the form of fraction {f(x)}{x+4}+ fraction {g(x)}{x^2+4}. What are f(x) and g(x).

Setup the partial fraction decomposition for the following rational function. {x^2 + 8} / {(x^2 + 3 x - 10)^2 (x^4 - 16)^2}

Calculate the following integral. integral {3 x^3 + 3 x^2 - x + 1} / {(x + 1)^2 (x^2 + 1)} dx

Find constants A and B such that (x - 7)/(x^2 - x - 2) = A/(x - 2) + B/(x + 1) for all x such that x != -1 and x != 2. Give the answer as the ordered pair (A,B).

Evaluate the following integral. integral {x^3 + 10 x^2 + 3 x + 36} / {(x - 1) (x^2 + 4)^2} dx

Expand the quotient by partial fractions. {3 x + 4} / {x^2 - 10 x + 25}

Use complementary function/particular integral method to find the general solution to the following second order ODE and the given initial conditions. Then use Laplace transforms to find the genera...

Write the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. {10} / {x^3 + 6 x^2 + 9 x}

Write the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients. {7 x} / {(x + 6) (3 x + 4)}

Dr Jones, a medical examiner, has been asked to determine whether the decomposed victim of a crime is a male or a female. How can he determine the gender of the victim?

Use the method of partial fractions to decompose the following fractions into sums. (a) x 1 x ( x 2 ) (b) x + 3 x 2 ( x 1 ) (c) x + 3 x ( x 1 ) ( x + 2 ) (d) x 1 x 2 + 2 x 8 (e...

Solve the following proportion for x: 1/(x + 2) = (x + 2)/(6x + 7)

Use partial fraction decomposition to find integral z / {z^3 + 8} dz. Hint: z^3 + 8 can be factored.

Use partial fraction decomposition to find integral {x^2 + 1} / {x^3 - 6 x^2 + 9 x} dx.

What term/s should appear in the partial fraction decomposition of a proper rational function with a factor of x^2 + 2x + 6 in the denominator?

What term/s should appear in the partial fraction decomposition of a proper rational function with a factor of (x-4)^3 in the denominator?

What term/s should appear in the partial fraction decomposition of a proper rational function with a factor of x - 3 in the denominator?

Evaluate the following integral. integral {16} / {x^3 - 4 x^2} dx

How do you integrate (10x + 2) / (x^3 - 5x^2 + x - 5) using partial fractions?

Evaluate the following integral: \int \dfrac{x^2 -1}{x^3 + x} dx.

How do you integrate (2x - 1) / (x^2 + 5x - 6) using partial fractions?

How do you integrate (y^4 + y^2 - 1) / (y^3 + y) using partial fractions?

How do you express (3x + 2) / (x^2 + 3x - 4) in partial fractions?

Solve the equation. \frac{5}{m-2} = \frac{3m}{m^2 + 2m - 8} - \frac{2}{m + 4}

Consider the following equation: {x^2 + 2x + 7}{(x-1)(x^2 + 2x + 2)} = {A}{x-1} + {Bx+C}{x^2 + 2x +2} for every ''x'' for which both sides of the equation are defined. Find the value of A, B and C.

Express \frac{6x-10}{x^2+4x+1} in partial fraction form.

Use equal sign or unequal sign to write a true sentence. A) 5/6 (blank) 8/10 B) 24/66 (blank) 6/11

Find the value of A in the equation: \frac{(x + 2)}{(x^2 - 7x + 12)} = \frac{A}{(x - 4)} + \frac{B}{(x - 3)}.

Which of the following is an expression that represents the partial fraction decomposition of the following rational function such that it is an equivalent expression with the same domain: \frac{9x...

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