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Math Help - Intergration help!!!!!!

  1. #1
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    Oct 2008
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    Intergration help!!!!!!

    Can anybody solve this thing? I really need it as a part of my PHD. I already tried several professors that just didn't have a clue......
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  2. #2
    Super Member
    Joined
    Aug 2008
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    I would first encapsulate it:

    \int_y\int_x g(x,y)dxdy

    and start off with a simple expression for g(x,y) just to get the algebra of analysis correct.

    I'm unclear about what you mean by your notation: For the inner integral, I assume that means, integrate with respect to x and replace all occurrences of x by 'x'. Same with the y. Wouldn't that just be antiderivatives? Would need constants of integrations in that case and not sure how to handle it symbolically that way. Personally, I'd do a brute-force numerical analysis on the function:

    f(x,y;x_0,y_0)=\int_{y_0}^y\int_{x_0}^x g(u,v)dudv where g(u,v) is your function.

    You can do that pretty easily in Mathematica and even create an animation file showing how the function f(x,y) changes as you vary the initial points x_0,y_0. Might be fun.
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