Optimal. Leaf size=12 \[ -\frac{1}{2} \log ^2(1-t) \]
[Out]
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Rubi [A] time = 0.0255394, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 14, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ -\frac{1}{2} \log ^2(1-t) \]
Antiderivative was successfully verified.
[In] Int[Log[1 - t]/(1 - t),t]
[Out]
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Rubi in Sympy [A] time = 1.46301, size = 8, normalized size = 0.67 \[ - \frac{\log{\left (- t + 1 \right )}^{2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(ln(1-t)/(1-t),t)
[Out]
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Mathematica [A] time = 0.00309904, size = 12, normalized size = 1. \[ -\frac{1}{2} \log ^2(1-t) \]
Antiderivative was successfully verified.
[In] Integrate[Log[1 - t]/(1 - t),t]
[Out]
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Maple [A] time = 0.002, size = 11, normalized size = 0.9 \[ -{\frac{ \left ( \ln \left ( 1-t \right ) \right ) ^{2}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(ln(1-t)/(1-t),t)
[Out]
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Maxima [A] time = 1.44768, size = 14, normalized size = 1.17 \[ -\frac{1}{2} \, \log \left (-t + 1\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-log(-t + 1)/(t - 1),t, algorithm="maxima")
[Out]
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Fricas [A] time = 0.206628, size = 14, normalized size = 1.17 \[ -\frac{1}{2} \, \log \left (-t + 1\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-log(-t + 1)/(t - 1),t, algorithm="fricas")
[Out]
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Sympy [A] time = 0.079763, size = 8, normalized size = 0.67 \[ - \frac{\log{\left (- t + 1 \right )}^{2}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(ln(1-t)/(1-t),t)
[Out]
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GIAC/XCAS [A] time = 0.240403, size = 14, normalized size = 1.17 \[ -\frac{1}{2} \,{\rm ln}\left (-t + 1\right )^{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(-log(-t + 1)/(t - 1),t, algorithm="giac")
[Out]