Optimal. Leaf size=12 \[ x \log \left (\frac{x}{2}\right )-x \]
[Out]
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Rubi [A] time = 0.00460648, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 6, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.167 \[ x \log \left (\frac{x}{2}\right )-x \]
Antiderivative was successfully verified.
[In] Int[Log[x/2],x]
[Out]
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Rubi in Sympy [A] time = 0.464809, size = 7, normalized size = 0.58 \[ x \log{\left (\frac{x}{2} \right )} - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(ln(1/2*x),x)
[Out]
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Mathematica [A] time = 0.00153016, size = 12, normalized size = 1. \[ x \log \left (\frac{x}{2}\right )-x \]
Antiderivative was successfully verified.
[In] Integrate[Log[x/2],x]
[Out]
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Maple [A] time = 0.003, size = 11, normalized size = 0.9 \[ -x+x\ln \left ({\frac{x}{2}} \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(ln(1/2*x),x)
[Out]
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Maxima [A] time = 1.32875, size = 14, normalized size = 1.17 \[ x \log \left (\frac{1}{2} \, x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(1/2*x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.23654, size = 14, normalized size = 1.17 \[ x \log \left (\frac{1}{2} \, x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(1/2*x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.069657, size = 7, normalized size = 0.58 \[ x \log{\left (\frac{x}{2} \right )} - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(ln(1/2*x),x)
[Out]
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GIAC/XCAS [A] time = 0.21301, size = 14, normalized size = 1.17 \[ x{\rm ln}\left (\frac{1}{2} \, x\right ) - x \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(log(1/2*x),x, algorithm="giac")
[Out]