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Math Help - how to integrate?

  1. #1
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    how to integrate?

    <br /> <br />
\int_0^1  \int_0^{1-x}  \int_y^1  \frac {\sin (z\pi)}{z(2-z)} dz dy dx<br /> <br />

    I first showed the function is integrable,
    <br />
\lim_{ z\to 0} f(x.y.z)=\frac{\pi}{2}<br />
    and we know z will never be 2
    so the function can be integrate.
    How do I go on from here?
    Last edited by joseph0177; November 27th 2009 at 07:44 PM.
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  2. #2
    MHF Contributor matheagle's Avatar
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    Maybe, if you switch the bounds of integration it will be a lot easier to integrate. Try to integrate z last and see what happens.
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  3. #3
    Super Member Bacterius's Avatar
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    z will never be 0, either ...
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  4. #4
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    Quote Originally Posted by matheagle View Post
    Maybe, if you switch the bounds of integration it will be a lot easier to integrate. Try to integrate z last and see what happens.
    I tried to do that, but how do I switch the bounds?
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