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Math Help - Average value of function over rectangular prism

  1. #1
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    Exclamation Average value of function over rectangular prism

    There are two related problems im stuck on.

    Average value of: f(x)=ye^(-xy)

    Over the box [0,1]x[0,1]x[0,1]

    and over the prism [0,5]x[0,3]x[0,3].

    I cant find a way around the #/0 problem... help please?
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  2. #2
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    Re: Average value of function over rectangular prism

    Assuming you mean f(x,y,z)=ye^{-xy}, you should be able to integrate \int_0^1 \int_0^1 \int_0^1 ye^{-xy}\, dx\, dy\, dz. How do you get something divided by 0?

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