Solution: Simple irreducible quadratic factors Evaluate the

Chapter 4, Problem 33E

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QUESTION:

Simple irreducible quadratic factors Evaluate the following integrals.

\(\int \frac{x^{2}}{(x-1)\left(x^{2}+4 x+5\right)} d x\)

Questions & Answers

QUESTION:

Simple irreducible quadratic factors Evaluate the following integrals.

\(\int \frac{x^{2}}{(x-1)\left(x^{2}+4 x+5\right)} d x\)

ANSWER:

Problem 33E

Simple irreducible quadratic factors Evaluate the following integrals. 

Answer

We have to evaluate the integral

Take a partial fraction

Multiply equation by denominator

Simplify

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