Optimal. Leaf size=10 \[ \frac{1}{6} \log \left (x^6+1\right ) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00591617, antiderivative size = 10, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 11, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.091 \[ \frac{1}{6} \log \left (x^6+1\right ) \]
Antiderivative was successfully verified.
[In] Int[x^5/(1 + x^6),x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 1.65465, size = 7, normalized size = 0.7 \[ \frac{\log{\left (x^{6} + 1 \right )}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**5/(x**6+1),x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.00398635, size = 10, normalized size = 1. \[ \frac{1}{6} \log \left (x^6+1\right ) \]
Antiderivative was successfully verified.
[In] Integrate[x^5/(1 + x^6),x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.001, size = 9, normalized size = 0.9 \[{\frac{\ln \left ({x}^{6}+1 \right ) }{6}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^5/(x^6+1),x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.44864, size = 11, normalized size = 1.1 \[ \frac{1}{6} \, \log \left (x^{6} + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5/(x^6 + 1),x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.207723, size = 11, normalized size = 1.1 \[ \frac{1}{6} \, \log \left (x^{6} + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5/(x^6 + 1),x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.176035, size = 7, normalized size = 0.7 \[ \frac{\log{\left (x^{6} + 1 \right )}}{6} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**5/(x**6+1),x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.225783, size = 11, normalized size = 1.1 \[ \frac{1}{6} \,{\rm ln}\left (x^{6} + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^5/(x^6 + 1),x, algorithm="giac")
[Out]