Status: Accepted
Owner: asmeurer
Labels: Type-Defect Priority-Medium Integration Matching
New issue 2048 by asmeurer: Problems with definite integrals with Function
limits and RootSum
http://code.google.com/p/sympy/issues/detail?id=2048
I am just putting this here so I don't forget to fix it. The failure is
actually a different one in my integration3 branch, where stuff in this
arena is much improved. Basically, this works:
integrate(-1/(7 + y - y**5), y)
but this does not
integrate(-1/(7 + y - y**5), (y, 0, f(x)))
because the function in the integration limits screws it up. The integral
is
In [8]: print integrate(-1/(7 + y - y**5), y)
RootSum(7502869*_t**5 + 160*_t**3 - 80*_t**2 + 15*_t - 1, Lambda(_t,
_t*log(-256/214375 + y - 7500309*_t/214375 - 30021716*_t**2/214375 -
120045904*_t**3/214375 - 480183616*_t**4/214375)))
So the problem is with RootSum somewhere. By the way, this arises from
solving the ODE Eq(f(x).diff(x) + f(x)**5, f(x) + 7) using dsolve().
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