Bug: integrate(x*sqrt(abs(x)),(x,-1,0)) returns wrong result

[mihaiancu]

from sympy import integrate, sqrt 
from sympy.abc import x 
integrate(x*sqrt(abs(x)), (x, -1, 0))

returns 2/5. The correct value is -2/5. The wrong opposite sign result is returned also if we replace x with x**k, where k is a positive integer.

[vsydoriak99]

Hello, I checked, everything works correctly.

[mihaiancu]

Hello! I am using SymPy 1.8 and I get the wrong result 2/5. Also, trying the online JupyerLab (https://jupyter.org/try) I get the same wrong result. integrate(x*sqrt(abs(x)), (x, -1, 0)) returns the same values as integrate(x*sqrt(abs(x)), (x, 0, 1)), but in the former case the integrand is negative.

[naveensaigit]

SymPy 1.8 gives 2/5, but it seems to be fixed on master, which gives -2/5

[oscarbenjamin]

This was fixed in fe3a757 from #21404

This issue can be closed if a regression test is added to test_issue_21166