Updates:
Status: Duplicate
Cc: [email protected]
Mergedinto: 1393
Comment #2 on issue 2477 by asmeurer: Sympy can't do elementary integration
of type quadratic * sqrt(quadratic)
http://code.google.com/p/sympy/issues/detail?id=2477
Yes, this is a well known deficiency in the integrator. See issue 1393,
which I am going to merge this issue into.
The way to fix this (or at least the easy way) would be to add table lookup
heuristics for quadratic*sqrt(quadratic) (and some other common forms).
By the way, if integrate() can't do it, calling .doit() won't make any
difference. And presently, definite integration only uses indefinite
integration, though this will change with Tom's GSoC project (Tom, will the
G-Function approach be able to handle algebraic functions like this?).
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