Triple Integration: Evaluating by Changing Order of Integral

[MozAngeles]

Homework Statement

Evaluate the integral by changing the order of the integration in an appropriate way.

∫∫∫ ze^-(y2+z2)dzdydx
z goes from 0 to ∞, y goes from x/6 to 3, x goes from 0 to 18

Homework Equations

The Attempt at a Solution

to change the integration
∫∫∫ ze^-(y2+z2)dydxdz

z goes from 0 to ∞, y goes from 0 to 3, x goes from 6y to 18

I'm not sure if this is right, so if anyone could steer me in the right direction that would be very nice, thanks in advance.

 

[HallsofIvy]

I am not sure what you are saying. You say the problem is to change the order of integration so you can do the integral, you give an integral and say you are not sure if that is correct. Is what you give the original problem or your answer? If it is your answer, we cannot say if it is correct or not without seeing the original problem. If it is the original problem- it is integrable just as it stands.