SOLUTION: What is the integral of (x^2)(√5-x^2)dx using trigonometric substitution?

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Question 1193638: What is the integral of (x^2)(√5-x^2)dx using trigonometric substitution?
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!




looks like , so substitute where and





Simplify:



Note:



Note:











Or if you prefer



John

My calculator said it, I believe it, that settles it

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