Optimal. Leaf size=8 \[ x \log (x)-x \]
[Out]
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Rubi [A] time = 0.00288465, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 2, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.5 \[ x \log (x)-x \]
Antiderivative was successfully verified.
[In] Int[Log[x],x]
[Out]
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Rubi in Sympy [A] time = 0.453226, size = 5, normalized size = 0.62 \[ x \log{\left (x \right )} - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(ln(x),x)
[Out]
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Mathematica [A] time = 0.000831316, size = 8, normalized size = 1. \[ x \log (x)-x \]
Antiderivative was successfully verified.
[In] Integrate[Log[x],x]
[Out]
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Maple [A] time = 0., size = 9, normalized size = 1.1 \[ -x+x\ln \left ( x \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(ln(x),x)
[Out]
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Maxima [A] time = 1.34864, size = 11, normalized size = 1.38 \[ x \log \left (x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.215977, size = 11, normalized size = 1.38 \[ x \log \left (x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.064165, size = 5, normalized size = 0.62 \[ x \log{\left (x \right )} - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(ln(x),x)
[Out]
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GIAC/XCAS [A] time = 0.200761, size = 11, normalized size = 1.38 \[ x{\rm ln}\left (x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(x),x, algorithm="giac")
[Out]