Question

Evaluate the integral ∭(xz+3z)dV,where E is the region bounded by the cylinder x^2 +z^2 = 9 and the planes x+y=3,z=0 and y=0 above the xy-plane.

Answer 1

Im just donig these myself so I dont know how much help I can be, but the tricky part is setting up the limits in the correct order.

I think the first limit is x + y = 3 so it would be -3 to 3 for the first one (I think)

Answer 2

is it z-simple?

Answer 3

hw?

Answer 4

could you start by drawing picture?

Answer 5

thats e part i confused abt. the region ...

Answer 6

any help

Answer 7

draw your cylinder first

Answer 8

draw your planes