Find the indefinite integral {eq}\int \frac {(\frac {5^3}{x} - (x^8 + 9)^{\frac {1}{3}} )}{ 3x^2} dx {/eq}


Find the indefinite integral {eq}\int \frac {(\frac {5^3}{x} - (x^8 + 9)^{\frac {1}{3}} )}{ 3x^2} dx {/eq}

Simpson Rule:

We can know the approximate value of a definite integral using the Simpson Rule. In the same sense, this rule is one of the exact ones within the other rules used for approximation of integrals like Trapezoidal and Midpoint Rule.

The Simpson's {eq}\frac{1}{3} {/eq} Rule is given by:

{eq}\displaystyle \int_a^{b} f(x) dx= \frac{h}{3}* [ f(x_0) +4 f(x_1)+ f(x_2) ] \\ {/eq}

Answer and Explanation: 1

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The integral {eq}\displaystyle \int \frac {(\frac {5^3}{x} - (x^8 + 9)^{\frac {1}{3}} )}{ 3x^2} dx {/eq} has no real solution. To find the solution,...

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What is Simpson's Rule? - Example & Formula


Chapter 15 / Lesson 4

What is Simpson’s Rule? In this lesson, learn about Simpson’s third rule and Simpson’s 3/8 rule. Moreover, see examples of Simpson’s rule calculus in use with n = 2 and n = 4 for quadratics.

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