Optimal. Leaf size=8 \[ 2 \sqrt{\log (x)} \]
[Out]
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Rubi [A] time = 0.0206341, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 10, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ 2 \sqrt{\log (x)} \]
Antiderivative was successfully verified.
[In] Int[1/(x*Sqrt[Log[x]]),x]
[Out]
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Rubi in Sympy [A] time = 1.49633, size = 7, normalized size = 0.88 \[ 2 \sqrt{\log{\left (x \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/x/ln(x)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00179286, size = 8, normalized size = 1. \[ 2 \sqrt{\log (x)} \]
Antiderivative was successfully verified.
[In] Integrate[1/(x*Sqrt[Log[x]]),x]
[Out]
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Maple [A] time = 0.006, size = 7, normalized size = 0.9 \[ 2\,\sqrt{\ln \left ( x \right ) } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/x/ln(x)^(1/2),x)
[Out]
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Maxima [A] time = 1.36554, size = 8, normalized size = 1. \[ 2 \, \sqrt{\log \left (x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x*sqrt(log(x))),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.197919, size = 8, normalized size = 1. \[ 2 \, \sqrt{\log \left (x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x*sqrt(log(x))),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.546356, size = 7, normalized size = 0.88 \[ 2 \sqrt{\log{\left (x \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/x/ln(x)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.215078, size = 8, normalized size = 1. \[ 2 \, \sqrt{{\rm ln}\left (x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(x*sqrt(log(x))),x, algorithm="giac")
[Out]