?Evaluate the integral. \(\int \frac{x^{2}}{\left(3+4 x-4 x^{2}\right)^{3 / 2}} \ d

Chapter 6, Problem 32

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QUESTION:

Evaluate the integral.

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

Equation Transcription:

Text Transcription:

Integral x^2(3+4x-4x^2)^3/2 dx

Questions & Answers

QUESTION:

Evaluate the integral.

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

Equation Transcription:

Text Transcription:

Integral x^2(3+4x-4x^2)^3/2 dx

ANSWER:

Step 1 of 4

To solve this integral, you will need to complete the square and use trigonometric integration.

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