Wrong output of sympy. Integrate with Rational

[osmerlex]

Bug report

Bug description:

# sympy.integrate((3*x)/(x**2+smp.Rational(7/4)),x)
System response: 3/2*log(4x**2+7)

When I put the expression to integrate, it turns out that the answer is different than integrating without considering Rational.

sympy.integrate((3x)/(x**2+7/4),x)
System response: 1.5log(1.0x**2+1.75)

CPython versions tested on:

3.13

Operating systems tested on:

Windows

[hugovk]

This is the issue tracker for the Python programming language itself. Please report SymPy bugs directly to them, or you can ask questions at https://discuss.python.org/c/help/7. Thank you.

[skirpichev]

It's not different, strictly speaking. The difference is up to a constant, that's irrelevant for an indefinite integral.

[osmerlex]

Thanks! El dom., 2 de marzo de 2025 20:44, Sergey B Kirpichev < ***@***.***> escribió:

…

It's not different, strictly speaking. The difference is up to a constant, that's irrelevant for an indefinite integral. — Reply to this email directly, view it on GitHub <#130765 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/ADG5T4CYKZ3DPQIKNRZIQOL2SOQYFAVCNFSM6AAAAABYFKSJW2VHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMZDMOJTGAYTGMRZHE> . You are receiving this because you authored the thread.Message ID: ***@***.***> [image: skirpichev]*skirpichev* left a comment (python/cpython#130765) <#130765 (comment)> It's not different, strictly speaking. The difference is up to a constant, that's irrelevant for an indefinite integral. — Reply to this email directly, view it on GitHub <#130765 (comment)>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/ADG5T4CYKZ3DPQIKNRZIQOL2SOQYFAVCNFSM6AAAAABYFKSJW2VHI2DSMVQWIX3LMV43OSLTON2WKQ3PNVWWK3TUHMZDMOJTGAYTGMRZHE> . You are receiving this because you authored the thread.Message ID: ***@***.***>