# Math Help - Proof using the Fundamental Theorem of Calculus

1. ## 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.

2. but this is part of the Fubini's theorem

3. 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.