How do you evaluate the integral sin(x2+y2)dr where r is the region 9≤x2+y2≤64 in polar form?
1 Answer
Feb 26, 2015
We should indeed use the polar coordinate system:
When you substitute these in
for
Our area becomes
Therefore, our limits for
When we use polar coordinates, we should take the Jacobian(
To solve this integral, we need to use substitution. We substitute