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.
http://tutorial.math.lamar.edu/Classes/CalcII/TrigSubstitutions.aspx
Wednesday, April 26, 2017
Evaluate the integral int x^2/(4-x^2)^(3/2) dx
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