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Math Help - Triple integral boundries

  1. #1
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    Post Triple integral boundries

    Could someone please help me find the boundaries of:
    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
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  2. #2
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    0 \leq y \leq \sqrt{x},\ 0 \leq z \leq \frac{\pi}{2}-x,\ 0 \leq x \leq \frac{\pi}{2}
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  3. #3
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    Thanks, i saught of had that, does the order of integration matter?
    I was thinking with those boundaries, first wrt y,z then x
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  4. #4
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    You have to do x last if you're going to use those boundaries.
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  5. #5
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    Yeah, i worked it out and it came out nicely (i got pi^2/16-1/2), thanks for the help.
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