Optimal. Leaf size=15 \[ 2 x+x \log ^2(x)-2 x \log (x) \]
[Out]
_______________________________________________________________________________________
Rubi [A] time = 0.00791702, antiderivative size = 15, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 4, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.5 \[ 2 x+x \log ^2(x)-2 x \log (x) \]
Antiderivative was successfully verified.
[In] Int[Log[x]^2,x]
[Out]
_______________________________________________________________________________________
Rubi in Sympy [A] time = 0.51416, size = 15, normalized size = 1. \[ x \log{\left (x \right )}^{2} - 2 x \log{\left (x \right )} + 2 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(ln(x)**2,x)
[Out]
_______________________________________________________________________________________
Mathematica [A] time = 0.0015164, size = 15, normalized size = 1. \[ 2 x+x \log ^2(x)-2 x \log (x) \]
Antiderivative was successfully verified.
[In] Integrate[Log[x]^2,x]
[Out]
_______________________________________________________________________________________
Maple [A] time = 0.025, size = 16, normalized size = 1.1 \[ 2\,x-2\,x\ln \left ( x \right ) +x \left ( \ln \left ( x \right ) \right ) ^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(ln(x)^2,x)
[Out]
_______________________________________________________________________________________
Maxima [A] time = 1.38508, size = 16, normalized size = 1.07 \[{\left (\log \left (x\right )^{2} - 2 \, \log \left (x\right ) + 2\right )} x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(x)^2,x, algorithm="maxima")
[Out]
_______________________________________________________________________________________
Fricas [A] time = 0.258505, size = 20, normalized size = 1.33 \[ x \log \left (x\right )^{2} - 2 \, x \log \left (x\right ) + 2 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(x)^2,x, algorithm="fricas")
[Out]
_______________________________________________________________________________________
Sympy [A] time = 0.079342, size = 15, normalized size = 1. \[ x \log{\left (x \right )}^{2} - 2 x \log{\left (x \right )} + 2 x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(ln(x)**2,x)
[Out]
_______________________________________________________________________________________
GIAC/XCAS [A] time = 0.220463, size = 20, normalized size = 1.33 \[ x{\rm ln}\left (x\right )^{2} - 2 \, x{\rm ln}\left (x\right ) + 2 \, x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(x)^2,x, algorithm="giac")
[Out]