Question

Convert the triple integral into spherical and cylindrical functions, then simplify the easier one.
http://www.wolframalpha.com/input/?i=integral+x+dz+dy+dx+from+x%3D-2+to+2%2C+y%3D-%284-x%5E2%29%5E1%2F2+to+%284-x%5E2%29%5E1%2F2%2C+z%3Dx%5E2%2By%5E2+to+4

Answer 1

I'm prety much set with cylindrical ones, I just need help with getting the limits for spherical

Answer 2

speres are just radius, angle over, angle up

Answer 3

\[\int\limits_{-2}^{2}\int\limits_{-\sqrt{4-x^2}}^{\sqrt{4-x^2}}\int\limits_{x^2+y^2}^{4}x dz dy dx\]

Answer 4

hmmm; have you tried sketching the thiing?

Answer 5

Yes, I know that its a sphere and that theta2 and theta1 (from the third integral dtheta) are from 0 to 2pi.

Answer 6

i see a parabolic cone that opens along the z axis and verts at the origin