Thread: Triple integral Conversion (Cylindrical, Rectangular, Spherical)

1. Triple integral Conversion (Cylindrical, Rectangular, Spherical)

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.

2. Originally Posted by numberonenacho

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.