Proof using the Fundamental Theorem of Calculus

**zebra2147** · February 14th 2011, 05:54 AM

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.

**xxp9** · February 14th 2011, 06:41 AM

but this is part of the Fubini's theorem

**zebra2147** · February 14th 2011, 06:50 AM

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.

Thread: Proof using the Fundamental Theorem of Calculus

LinkBack

Thread Tools

Display

Proof using the Fundamental Theorem of Calculus

Similar Math Help Forum Discussions

fundamental theorem of calculus

using fundamental theorem of calculus 1

Fundamental Theorem of calculus & Estimation Theorem

fundamental theorem of calculus

2nd Fundamental Theorem of Calculus

Search Tags