# Math Help - double integral question 3

1. ## double integral question 3

compute the double integral of the function f(x,y)= $exp(x^2 + y^2)$ over the upper semi-circle of radius r=1. Which coordinates are more suitable for this computation?

2. Originally Posted by sonia1
compute the double integral of the function f(x,y)= $exp(x^2 + y^2)$ over the upper semi-circle of radius r=1. Which coordinates are more suitable for this computation?
$\int_0^{\pi} \int_0^1 r e^{r^2}\, dr\,d \theta$
4. "upper semi-circle" means you to need to take the circle and consider the half regarding positive $y$ axis. Now, having radius $r=1,$ then $0\le r\le1$ (this is for the polar coordinates), and then $0\le\theta\le\pi$ covers the angle. Sketch it.