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Topic: Manually tell Mathematica how to evaluate integrals
Replies: 5   Last Post: Dec 3, 2012 3:18 AM

 Messages: [ Previous | Next ]
 DC Posts: 78 Registered: 8/22/07
Re: Manually tell Mathematica how to evaluate integrals
Posted: Nov 25, 2012 11:38 PM

The following doesn't seem to reproduce your statement :

Simplify[D[x PolyLog[n + 1, Exp[x]] - x PolyLog[n + 2, Exp[x]], x],
Assumptions -> {n \[Element] Integers, x \[Element] Reals}]

On Sunday, 25 November 2012 10:10:17 UTC, Hui wrote:
> Hi all,
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> I have a question about Mathematica's abilities to solve integrals. There seem to be cases where an antiderivative is explicitly known yet Mathematica fails to compute the integral. One example of this would be
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> Integrate[x PolyLog[n,Exp[x]],x]
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> which Mathematica only solves for n=1,2, even though it is quite easy to find a solution for higher values of n as well, namely
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> x PolyLog[n+1,Exp[x]] - x PolyLog[n+2,Exp[x].
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> I would like to know if it possible to teach Mathematica this integral in such a way that it will also recognise and solve it in more complicated cases such as
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> Integrate[(x+a) PolyLog[n,b Exp[c x]],x].
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> Thank you very much, your assistance is much appreciated!
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> Hui

Date Subject Author
11/25/12 Eckhard Schlemm
11/25/12 DC
11/27/12 Eckhard Schlemm
11/28/12 Eckhard Schlemm
12/3/12 Bob Hanlon
12/3/12 Bob Hanlon