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Solution: Preliminary steps The following integrals require
Chapter 4, Problem 51E(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.
\(\int \frac{3 x^{2}+4 x-6}{x^{2}-3 x+2} d x\)
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.
\(\int \frac{3 x^{2}+4 x-6}{x^{2}-3 x+2} d x\)
ANSWER:Problem 51E
Answer
We have to evaluate the integral
Divide we get,
Quotient
Therefore