Someone help please!
compute the double integral of the function f(x,y)=$\displaystyle exp(x^2 + y^2)$ over the upper semi-circle of radius r=1. Which coordinates are more suitable for this computation?
"upper semi-circle" means you to need to take the circle and consider the half regarding positive $\displaystyle y$ axis. Now, having radius $\displaystyle r=1,$ then $\displaystyle 0\le r\le1$ (this is for the polar coordinates), and then $\displaystyle 0\le\theta\le\pi$ covers the angle. Sketch it.