About computing integral integrate(exp(-x^k),x,0,1)
Subject: About computing integral integrate(exp(-x^k),x,0,1)
From: James Nesta
Date: Wed, 4 Jan 2012 19:48:02 -0800
In fooling with this integral I was able to get what I think is a manageable solution. As follows:
Transform the variable x to z by the transformation x = z^(1/k), dx = z^(1/k-1)dz,
the integral becomes(1/k)*[gamma(1/k)-incomplete_gamma(1/k, 1)]. I think that Maxima should be able to handle each of these functions. I hope that this helps.
Jim