# Thread: Triple integral boundries

1. ## Triple integral boundries

triple integral on region E of; y cos(x+z) dV
where E is the region bounded by the parabolic cylinder y=sqrt(x) and the planes y=0, z=0 and x+z=pi/2

I have tried graphing/visualizing the region and tried to use a 'y cap' and am just confusing myself

2. $0 \leq y \leq \sqrt{x},\ 0 \leq z \leq \frac{\pi}{2}-x,\ 0 \leq x \leq \frac{\pi}{2}$

3. Thanks, i saught of had that, does the order of integration matter?
I was thinking with those boundaries, first wrt y,z then x

4. You have to do x last if you're going to use those boundaries.

5. Yeah, i worked it out and it came out nicely (i got pi^2/16-1/2), thanks for the help.