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David asks…Tips for how to integrate x^2*sqrt(1-x^2)?I've been going my old calculus II book to do some freshening up in my integration skills and this one is throwing me for a loop.
My ti89 and the answer key gives the same answer of: (arcsin(x)+x*sqrt(1-x^2)-2x(1-x^2)^(3/2))/8 i know the integral for the sqrt(1-x^2) is (arcsin(x)+x*sqrt(1-x^2)
I attempted to solve via integration by parts and then a trig substitution which led me to about 4 more iterations of parts integration but i

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