Evaluate the following integrals. , x<?

Chapter 4, Problem 40E

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QUESTION:

Evaluate the following integrals.

\(\int \frac{x^{3}}{\left(x^{2}-16\right)^{3 / 2}} d x\), x<-4

Questions & Answers

QUESTION:

Evaluate the following integrals.

\(\int \frac{x^{3}}{\left(x^{2}-16\right)^{3 / 2}} d x\), x<-4

ANSWER:

Answer

Step 1
We have to evaluate the integral

 Given integral can be written as 

Put

 

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