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## Homework Statement

evaluate : [tex]\int\int\int_{E} e^z DV[/tex]

where E is enclosed by the paraboloid z = 1 + x^2 + y^2 , the cylinder x^2 + r^2 = 5

I just need help setting this up.

I know that theta is between 0 and 2pi

Now is z between 0 and 1 + r ? and r is between 0 and sqrt(5).

Would the iterated integral set up in cylindrical coordinate look like this :

[tex]\int^{2\pi}_{0}[/tex][tex]\int^{\sqrt{5}}_{0}[/tex][tex]\int^{1+r}_{0}e^z dz* r*dr *d\theta[/tex]