Evaluate the indefinite integral.
{eq}\displaystyle \int \frac{x^3+61}{x^2+5x+4}dx = {/eq}
Question:
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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View this answerGiven:
$$\begin{align} f(x) &= \frac{x^3+61}{x^2+5x+4}\\[0.3cm] \end{align} \\ $$
The degree of the polynomial of the numerator is greater than...
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Chapter 3 / Lesson 26Learn about what partial fractions are and their formula. Understand the method of how to do partial fractions from the rational and improper functions.