antiderivate arccos

[okhjonas]

Hello, can somebody here tell me how to solwe the antiderivate of

arcsin(x^0,5)/(x^0,5)

I know the answer but not the solution..

[NoMoreExams]

Hello, can somebody here tell me how to solwe the antiderivate of

arcsin(x^0,5)/(x^0,5)

I know the answer but not the solution..

let u = x^{.5}

[nicksauce]

First make a substiution, so that you are integrating arcsin(y)dy. Then integrate by parts u = arcsin(y) du = sqrt(1-y^2)dy dv=dy v =y. The resulting integral of vdu shouldn't be too hard to solve.