The projection on the plane is or equivalently .
So, the limits are:
The body K is limited by the areas:
z= x^2 + y^2
Calculate the integral ∫∫∫ (x^2 + y^2) dxdydz
Now, I should introduce cylindrical coordinates, where upon I get that the body is limited by:
My question is about the limits:
r goes from ??
z goes from 2-r^2 to r^2. correct?
the angle goes from 0 to 2pi
I would really appreciate some help