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Math Help - Area of cycloid using integration

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    Area of cycloid using integration



    Look at the first 2 steps of integration. How come the upper limit in the second step is 2\pi instead of 2a\pi?
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  2. #2
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    Limits of integral

    Hello chengbin
    Quote Originally Posted by chengbin View Post

    Look at the first 2 steps of integration. How come the upper limit in the second step is 2\pi instead of 2a\pi?
    Because the variable has been changed from x to \theta (note, we're now integrating with respect to \theta). And the limits are \theta = 0 to 2\pi.

    Grandad
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