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Thread: How to express these integrals with functions of Gamma or Beta?

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    Exclamation How to express these integrals with functions of Gamma or Beta?

    Integral 1: $\displaystyle \int_{\frac{1}{2}}^{1}\dfrac{(1 -x)^{7/2}(2x - 1)^{3/2}}{x^7}dx$

    Integral 2: $\displaystyle \int_{-\infty}^{\infty}\left(\dfrac{\ln(e^x + 1)}{e^x + 1}\right)^{3}e^x dx$
    Last edited by lebdim; Nov 22nd 2018 at 11:48 PM.
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    Re: How to express these integrals with functions of Gamma or Beta?

    $\displaystyle \int_{1/2}^{1}\dfrac{(1 -x)^{7/2}(2x - 1)^{3/2}}{x^7}dx$
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