Sorry for the bad drawing.

So I am supposed to find an equivalent integral in spherical coordinates,

rectangular coordinates and then evaluate the integral.

I know im supposed to use the rules z = rho cos phi

r = rho sin phi

for spherical, but do I just substitute it in? And what do I change the range of the integrals to.

And for rectangular I know I use x = r cos theta

y = r sin theta

z = z

But also I am not suer what to change the ranges to.

And then from there I'll have to evaluate the integral.

Please Help!!~ A similar problem, or some work would be great in helping me solve this.

I have also made an identical thread in the calculus section. I hope Mods don't mind.