PS: Found using the following trac query:
https://trac.sagemath.org/query?order=id=1=~abs(sin
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Sun 2018-02-11 21:55:14 UTC, Andrey Novoseltsev:
>
> I got this bug report and it seems that I have seen something similar
> in the past but can't find it. Is it already known/tracked?
>
> show(integral(abs(sin(pi*x)), x, 0, 1))
> plot(abs(sin(pi*x)), 0, 1)
>
> The value of the integral is
It's the pattern sqrt(f(x)) with f containing trigonometric functions. Use
giac for such integrals.
sage: integral(abs(sin(pi*x)), x, 0, 1, algorithm='giac')
2/pi
There is no meta ticket for this, you can find integration tickets
at https://trac.sagemath.org/wiki/symbolics#Integrationtickets
