I'm wondering how to sketch and evaluate the following iterated integral:

$\displaystyle \int\nolimits_{0}^{\frac{\pi }{2}} {dx}\int\nolimits_{0}^{\sin x} {dy}$

1. My sketch is the area between the standard graph of Sin X from 0 to $\displaystyle pi/2$ and the x axis.

2. I evaluated this integral to 1

Seem right to you guys?