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Math Help - Proof using the Fundamental Theorem of Calculus

  1. #1
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    Proof using the Fundamental Theorem of Calculus

    Im supposed to prove the following by using the Fundamental Theorem of Calculus twice...

    \int_{c}^{d}(\int_{a}^{b}\rho _{x}(x,y)dx)dy=...=\int_{a}^{b}(\int_{c}^{d}\rho _{x}(x,y)dy)dx.

    Along with the Fundamental Theorem of Calculus I also think that Fubini's Theorem might play a role in this proof...

    I'm just not sure how to get the ball rolling. Any help would be appreciated.
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  2. #2
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    but this is part of the Fubini's theorem
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  3. #3
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    Right...I guess I was just stating that although it is a part of Fubinin's Theorem we are asked to use the Fundamental Theorem of Calculus to show that it works.
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