# Thread: integration using tables

1. ## integration using tables

i need to find the integral of: sin^-1 (x^1/2) what substituion should i use and what identity do i need to use to do this?

2. There are always various ways to tackle these, but you could try parts.

$\int{sin^{-1}(\sqrt{x})}dx$

Let $u=sin^{-1}(\sqrt{x})dx, \;\ dv=dx, \;\ du=\frac{1}{2\sqrt{x(1-x)}}dx, \;\ v=x$

This leads to:

$xsin^{-1}(\sqrt{x})+\int\sqrt{1-u^{2}}du$

Now, continue?.