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If anyone has some hints on how to do this one it would be much appreciated:

Find the volume of the region given by x^{2}+ y^{2}≤ a^{2}, 0 ≤ z ≤ x.

So I've gone to cylindrical polars, and threw in the Jacobian, r. If I integrate with my bounds being:

0 to a, 0 to pi, 0 to rcos(theta) of r dz d(theta) dr I'm getting 0 which can't be. What is it that I'm missing here. Any hint would be great.

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# Triple Integration of a Strange Cylinder

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