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

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Eckhard Schlemm

Posts: 9
Registered: 5/16/06
Manually tell Mathematica how to evaluate integrals
Posted: Nov 25, 2012 5:07 AM
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Hi all,

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

Integrate[x PolyLog[n,Exp[x]],x]

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

x PolyLog[n+1,Exp[x]] - x PolyLog[n+2,Exp[x].

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

Integrate[(x+a) PolyLog[n,b Exp[c x]],x].

Thank you very much, your assistance is much appreciated!

Hui




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