Sunday 7 May 2017

Evaluate the integral `int` x^2/(4-x^2)^(3/2) dx

I will use trigonometric substitution for this integral. First, substitute to eliminate the square root. Then evaluate the integral. Lastly, convert back to the original variable. Please see the image bellow for the answer.

I will use trigonometric substitution for this integral. First, substitute to eliminate the square root. Then evaluate the integral. Lastly, convert back to the original variable. Please see the image bellow for the answer.

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