Status: New
Owner: ----
Labels: Type-Enhancement Priority-Medium Integration

New issue 3938 by grant.wa...@gmail.com: Solving Integrals that have Elliptic Integrals in Solution
http://code.google.com/p/sympy/issues/detail?id=3938

Integrals that decompose into elliptic integrals cannot be solved. For example:
from sympy import integrate, sin, cos,sqrt, Symbol
x = Symbol('x')
integrate(1/sqrt(1+sin(x)**2),x)
Integral(1/sqrt(sin(x)**2 + 1), x)

A potentially simpler case to implement might be an integral that can be decomposed into complete elliptics, such as the definite integral of the above from 0 to Pi.

Some discussion occurred here: http://stackoverflow.com/questions/16991997/decomposing-integral-into-elliptic-integrals/17013218?noredirect=1#comment25499503_17013218

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