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Calc help pleaseeee?

0 votes

If you use substitution x=3sin(t) for the integral of 4x/(9-x^2)^(5/2) what integral results?

asked Feb 13, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1:

The integration is .

Consider .

Substitute and in the above integral.

                           image

Step 2:

Now assume

Substitute and   in the above integral expression.

                         image

Substitute in the above expression.

                         image

We have , using Pythagorean theorem image.

image

Substitute image in the above expression.

                           image

image.

Solution :

image.

answered Feb 16, 2015 by joseph Apprentice

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