So the problem is ?
Let u= sin(x) so that du= cos(x)dx. When x=0, u= 0 and when , u= 1 so the problem becomes .
Now, use a trig substitution to do that- remembering that .
Since I am first getting rid of trig functions, and then introducing trig functions, you could probably do this with a single trig identity, but that is how I would handle it.