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Topic: symbolic integral with conditions
Replies: 0

 sasa Posts: 7 Registered: 3/6/11
symbolic integral with conditions
Posted: Dec 13, 2011 5:06 AM

Hello all good people, a have one problem, probably not with mathematica
but with mathematics :)
I'm writing a code where I need to calculate integrals of quadruple
trigonometric series (not sure if quadruple is correct term, i mean the
series of series of series of series:)
Here is simple example with sine function. Problem is that solution should
be represented with a lot of conditions (i.e. if n==m==p==q then..., and so
on), but it seems that mathematica can not handle it.

Integrate[
Sin[n*\[Pi]*y]*Sin[m*\[Pi]*y]*Sin[p*\[Pi]*y]*Sin[q*\[Pi]*y], {y, 0,
1}, Assumptions -> {{n, m, p, q} \[Element] Integers, {n, m, p, q} >
0}, GenerateConditions -> True]

It would be great to hear yours thoughts on this.

All the best,
Aleksandar