Evaluate the integral of over the region D above the cone and inside the sphere .
(D looks like an ice-cream cone)
obviously, we may use the sphercical polar form to solve this, but I have trouble converting x, y, z into the polar from such as , ,
Evaluate the integral of over the region D above the cone and inside the sphere .
(D looks like an ice-cream cone)
obviously, we may use the sphercical polar form to solve this, but I have trouble converting x, y, z into the polar from such as , ,
I presume you mean rather than "e"!
Certainly you should have no trouble putting and into spherical coordinates ( is a sphere with radius a. So I assume the problem is . It's not really hard to put the formulas for x, y, and z, in terms of , , and and reduce but I think I would be inclined to add a to each side to get . Now the left side is and the right side is, as I said before, very easy.