# Math Help - Calculating exponential integral

1. ## Calculating exponential integral

Hi,

I have problem calculating the integral of e^(-x)^(Beta) from 0 to infinity. Anyone who knows how?

2. ## Re: Calculating exponential integral

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.

$\beta > 0,\quad \int_0^\infty {e^{ - x^\beta } } = \Gamma \left( {\frac{1}{\beta } + 1} \right)$