About computing integral integrate(exp(-x^k),x,0,1)
Subject: About computing integral integrate(exp(-x^k),x,0,1)
From: Richard Hennessy
Date: Thu, 05 Jan 2012 00:45:37 -0500
I meant the integral becomes (1/k)*[gamma(1/k)-incomplete_gamma(1/k, z)].
Typo.
Rich
-----Original Message-----
From: Richard Hennessy
Sent: Thursday, January 05, 2012 12:43 AM
To: James Nesta ; maxima at math.utexas.edu
Subject: Re: [Maxima] About computing integral integrate(exp(-x^k),x,0,1)
"integral becomes(1/k)*[gamma(1/k)-incomplete_gamma(1/k, 1)]"
I think you made a mistake, it should be
the integral becomes (1/k)*[gamma(1/k)-incomplete_gamma(1/k, k)]
Rich
-----Original Message-----
From: James Nesta
Sent: Wednesday, January 04, 2012 10:48 PM
To: maxima at math.utexas.edu
Subject: Re: [Maxima] About computing integral integrate(exp(-x^k),x,0,1)
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
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