# Thread: another tough integral question..

1. ## another tough integral question..

integral of arcsin(x)/x^2

I know integration by parts must be used but for some reason I can never get it to reduce enough

2. Originally Posted by khood
integral of arcsin(x)/x^2

I know integration by parts must be used but for some reason I can never get it to reduce enough
$v' = \frac{1}{x^2}$
$v = -\frac{1}{x}$

$u = \arcsin(x)$
$u' = \frac{1}{\sqrt{1-x^2}}$

$\int v'u = vu - \int u'v$

$= \frac{-arcsin(x)}{x} - \int \frac{-1}{x \sqrt{1-x^2}}dx$

$= \frac{-arcsin(x)}{x} + \int \frac{1}{x \sqrt{1-x^2}}dx$