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Math Help - Integration using polar coordinates

  1. #1
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    Integration using polar coordinates

    Hey I am having trouble with another integral problem:
    Use polar coordinates to find the volume of the region between the plane z = 0 and
    the surface z = sqrt(x2 + y2) inside of the cylinder x2 + y2 = 2x.

    I did the problem already but am doubtful of my answer. The way i set up the triple integral was i took the integral of r, from dzdrdtheta. z(from 0 to r), r(from 0 to 2cos(theta)), theta(from 0 to 2pi)
    I got 0 as the answer, which doesnt seem correct.
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  2. #2
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    Re: Integration using polar coordinates

    Actually, is the range of theta (-pi/2 to pi/2)?
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