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Math Help - Show integrability

  1. #1
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    Show integrability

    Show that \int_0^1 \frac{\sqrt(sin(x))}{\sqrt(sinx) + \sqrt(sin(1-x)},dx = 1/2 by using the definition of Riemann-integrability.

    I'm not sure how to define my partitions. Appreciate anyone's help on this.
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  2. #2
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    Krizalid's Avatar
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    it ain't better to prove a more general result having integrability as long as you have a continuous function on a compact set?
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  3. #3
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    Quote Originally Posted by Krizalid View Post
    it ain't better to prove a more general result having integrability as long as you have a continuous function on a compact set?
    Didn't we have here a continuous function in the compact set [0,1]?
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