Untitled Pad

A Scratchpad pad. Each line below is one row of the pad, written as LaTeX.

1. \Gamma\left(\alpha\right)\Gamma\left(\beta\right)=\left(\int_0^{\infty}x^{\left(\alpha-1\right)}e^{-x}dx\right)\left(\int_0^{\infty}x^{\left(\beta-1\right)}e^{-x}dx\right)=\left(\int_0^{\infty}\int_0^{\infty}x^{\left(\alpha-1\right)}y^{\left(\beta-1\right)}e^{-\left(x+y\right)}dxdy\right)

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