Benedict Irwin edited untitled.tex  over 9 years ago

Commit id: 500e6ff1fc09c6335a2e16f3888a5f603d64bb0f

deletions | additions      

       

\int_0^\infty e^{-x} dx =1 & \int_0^\infty -xe^{-x} dx = -1 \\  \int_0^\infty x^{z-1}e^{-x} dx= \Gamma(z) & \int_0^\infty x^{z-1}e^{-x}(-x+z-1) dx= -\Gamma(z) \\  \int_0^\infty x^{z-1}e^{-x}(-x+z-1) dx= -\Gamma(z) & \int_0^\infty x^{z-1}e^{-x} (x+x^2+(-1+z)^2-2xz)dx=\Gamma(z) \\  \int_-\infty^\infty \int_{-\infty}^{\infty}  1 dx = \infty & \int_-\infty^\infty \int_{-\infty}^{\infty}  -1 dx = -\infty \\ \hline   \end{array}  \end{equation}