Evaluate the indefinite integral.

{eq}\displaystyle \int \frac{x^3+61}{x^2+5x+4}dx = {/eq}


Evaluate the indefinite integral.

{eq}\displaystyle \int \frac{x^3+61}{x^2+5x+4}dx = {/eq}

Improper Partial Fractions:

The rational fraction defined by the quotient between a polynomial of the third degree and a polynomial of the second degree is an improper fraction. When applying long division we obtain a proper fraction defined by the quotient between a linear polynomial or a constant and the same polynomial of the second degree.

Answer and Explanation: 1

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$$\begin{align} f(x) &= \frac{x^3+61}{x^2+5x+4}\\[0.3cm] \end{align} \\ $$

The degree of the polynomial of the numerator is greater than...

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Partial Fractions: Rules, Formula & Examples


Chapter 3 / Lesson 26

Learn about what partial fractions are and their formula. Understand the method of how to do partial fractions from the rational and improper functions.

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