Updates:
Status: Valid
Labels: Integration
Comment #1 on issue 3776 by asmeu...@gmail.com: Unable to integrate
function involving sech^2
http://code.google.com/p/sympy/issues/detail?id=3776
The indefinite integral can be expressed in terms of the polylogarithm:
http://www.wolframalpha.com/input/?i=integrate(x**2%2Fcosh(x)**2)&dataset=.
Risch can break apart the nonelementary part
In [10]: integrate((x**2/cosh(x)**2).rewrite(exp), x)
Out[10]:
2 ⌠
2⋅x ⎮ 4⋅x
- ──────── + ⎮ ──────── dx
2⋅x ⎮ 2⋅x
ℯ + 1 ⎮ ℯ + 1
⌡
So it is just a matter of doing this integral:
http://www.wolframalpha.com/input/?i=integrate%284*x%2F%28exp%282*x%29+%2B+1%29%2C+x%29.
Of course, if MeijerG could be modified to do this whole thing at once,
that would be great as well.
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