Solution Found!
Preliminary steps The following integrals require a
Chapter 4, Problem 52E(choose chapter or problem)
QUESTION:
Preliminary steps The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.
\(\int \frac{2 x^{3}+x^{2}-6 x+7}{x^{2}+x-6} d x\)
Questions & Answers
QUESTION:
Preliminary steps The following integrals require a preliminary step such as long division or a change of variables before using partial fractions. Evaluate these integrals.
\(\int \frac{2 x^{3}+x^{2}-6 x+7}{x^{2}+x-6} d x\)
ANSWER:Problem 52E
SOLUTION
Step 1
We have to evaluate
We have to use the long division method here.Then we get
Therefore