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

1. ## 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: $\displaystyle \int_{-\infty}^{\infty}\left(\dfrac{\ln(e^x + 1)}{e^x + 1}\right)^{3}e^x dx$

2. ## Re: How to express these integrals with functions of Gamma or Beta?

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