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Math Help - How did they get these bounds for this double integral?

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    How did they get these bounds for this double integral?

    heres a problem from my textbook. How did they figure out those bounds for theta? On an exam i wont be able to use a calculator that graphs polar coords, and i should know how to do this anyways. Thanks

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    Quote Originally Posted by Evan.Kimia View Post
    heres a problem from my textbook. How did they figure out those bounds for theta? On an exam i wont be able to use a calculator that graphs polar coords, and i should know how to do this anyways. Thanks

    It's obvious where the bounds have come from. Are you asking how x^2 + y^2 = 2x is converted to a polar equation?
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    I understand how the bounds for r are set by converting to polar coords but im not sure howe the bounds for theta (the -pi/2 to pi/2) are figured out.
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    Quote Originally Posted by Evan.Kimia View Post
    I understand how the bounds for r are set by converting to polar coords but im not sure howe the bounds for theta (the -pi/2 to pi/2) are figured out.
    The polar angle associated with (2, 0) is 0.

    The polar angles associated with (0, 0) are -pi/2 and pi/2.
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