1. The problem statement, all variables and given/known data Integrate sin^-1(sqrtx) 2. Relevant equations 3. The attempt at a solution To solve this, I first made a substitution of u=arcsin(sqrtx) so dx=sqrt(1-u)du Still pretty difficult to solve, so I integrated by parts with v=sqrt(1-u) dw=udu dv=(1/2)(sqrt(1-u))2 and w=(1/2)(u^2) To integrate this new equation, I used a table to get this: sqrt(1-u)(1/2)(u^2) + (1/2)arcsinu + c I put this all together and changed the u to arcsin(sqrtx). I'm wondering if this was a legit way of solving this equation.