Hi, I have problem calculating the integral of e^(-x)^(Beta) from 0 to infinity. Anyone who knows how?
Last edited by magikeren; Dec 3rd 2012 at 04:59 AM.
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Originally Posted by magikeren calculating the integral of e^(-x)^(Beta) from 0 to infinity. Anyone who knows how? There is no elementary solution. We need the gamma function. $\displaystyle \beta > 0,\quad \int_0^\infty {e^{ - x^\beta } } = \Gamma \left( {\frac{1}{\beta } + 1} \right)$
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