On Fri, 19 Oct 2018 at 22:09, Aaron Meurer <asmeu...@gmail.com> wrote:
>
> You can pass the limits to integrate directly:
>
> >>> integrate(1/(x**2+y**2)**Rational(3,2), (y, -L/2, L/2))
> L/(x**3*sqrt(L**2/(4*x**2) + 1))
>
> It's generally recommended to do this as it isn't always correct to
> substitute the upper and lower values directly.  However, this result
> is equivalent to yours in this case, after pulling a 4 out of the
> square root.

Thinking about it the answer given by sympy above is only correct for x>0.

--
Oscar

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