- #1
whynot314
- 76
- 0
Homework Statement
I need help setting this integral up in spherical coordinates, the region above the xyplane, inside the sphere x^2+y^2+z^2=2 and outside the cylinder x^2+y^2=2
The Attempt at a Solution
[itex]\int^{2\pi}_{0}[/itex] [itex]\int^{\pi/2}_{\pi/4}[/itex] [itex]\int^{\sqrt{2}}_{0}[/itex] [itex]\rho^{2}[/itex]sin[itex]\phi[/itex]d[itex]\rho[/itex]d[itex]\theta[/itex]d[itex]\theta[/itex] -[itex]\int^{2\pi}_{0}[/itex] [itex]\int^{\pi/4}_{0}[/itex] [itex]\int^{1/sin\phi}_{0}[/itex] [itex]\rho^{2}[/itex]sin[itex]\phi[/itex]d[itex]\rho[/itex]d[itex]\phi[/itex]d[itex]\theta[/itex]
is this correct?