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Math Help - Integral

  1. #1
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    Integral

    The value of Definite Integral \displaystyle \int_{0}^{\frac{\pi}{2}}(\sin x+\cos x)\sqrt{\frac{e^x}{\sin x}}dx
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  2. #2
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    Re: Integral

    Split up the integral

    \int_0^{\pi/2} e^{x/2} \sqrt{\sin x}  dx + \int_0^{\pi/2} e^{x/2} \dfrac{\cos x}{\sqrt{\sin x }}dx

    Use integration by parts on the second (choose u = e^{x/2} ) and see what happens.
    Thanks from jacks
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