?Evaluate the integral. \(\int x^{3} \sqrt{16+x^{2}} \ d x\)Equation Transcription:Text

Chapter 6, Problem 9

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QUESTION:

Evaluate the integral.

         \(\int x^{3} \sqrt{16+x^{2}} \ d x\)

Equation Transcription:

Text Transcription:

Integral x^3 sqrt 16+x^2 dx

Questions & Answers

QUESTION:

Evaluate the integral.

         \(\int x^{3} \sqrt{16+x^{2}} \ d x\)

Equation Transcription:

Text Transcription:

Integral x^3 sqrt 16+x^2 dx

ANSWER:

Step 1 of 4

The given integral is:

                                                                                                     

Let   where  , then,  

And

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