# Antiderivate arccos

1. Aug 20, 2008

### 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..

2. Aug 20, 2008

### NoMoreExams

let $$u = x^{.5}$$

3. Aug 20, 2008

### 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.