# Thread: integral

1. ## integral

if f is continuous and the integral from 0 to 2 of f(x)dx=6, evaluate the integral from 0 to pi/2 of (f(2sintheta)cosetheta) dtheta

2. Originally Posted by asdf
if f is continuous and the integral from 0 to 2 of f(x)dx=6, evaluate the integral from 0 to pi/2 of (f(2sintheta)cosetheta) dtheta
$\int_0^{\pi/2} f(2\sin \theta)\cos \theta d \theta$ let $t=\sin \theta$, the rest is trivial.