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Math Help - Iterated Integral Sketch

  1. #1
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    Iterated Integral Sketch

    I'm wondering how to sketch and evaluate the following iterated integral:

    \int\nolimits_{0}^{\frac{\pi }{2}} {dx}\int\nolimits_{0}^{\sin x} {dy}

    1. My sketch is the area between the standard graph of Sin X from 0 to pi/2 and the x axis.
    2. I evaluated this integral to 1
    Iterated Integral Sketch-wolframalpha-20100704154906444-4-1.gif

    Seem right to you guys?
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Yes.
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