Optimal. Leaf size=17 \[ \frac{1}{4} x^4 \log (x)-\frac{x^4}{16} \]
[Out]
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Rubi [A] time = 0.0120768, antiderivative size = 17, 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 \[ \frac{1}{4} x^4 \log (x)-\frac{x^4}{16} \]
Antiderivative was successfully verified.
[In] Int[x^3*Log[x],x]
[Out]
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Rubi in Sympy [A] time = 1.10186, size = 12, normalized size = 0.71 \[ \frac{x^{4} \log{\left (x \right )}}{4} - \frac{x^{4}}{16} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x**3*ln(x),x)
[Out]
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Mathematica [A] time = 0.00172183, size = 17, normalized size = 1. \[ \frac{1}{4} x^4 \log (x)-\frac{x^4}{16} \]
Antiderivative was successfully verified.
[In] Integrate[x^3*Log[x],x]
[Out]
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Maple [A] time = 0.001, size = 14, normalized size = 0.8 \[ -{\frac{{x}^{4}}{16}}+{\frac{{x}^{4}\ln \left ( x \right ) }{4}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x^3*ln(x),x)
[Out]
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Maxima [A] time = 1.34176, size = 18, normalized size = 1.06 \[ \frac{1}{4} \, x^{4} \log \left (x\right ) - \frac{1}{16} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^3*log(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.207398, size = 18, normalized size = 1.06 \[ \frac{1}{4} \, x^{4} \log \left (x\right ) - \frac{1}{16} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^3*log(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.080395, size = 12, normalized size = 0.71 \[ \frac{x^{4} \log{\left (x \right )}}{4} - \frac{x^{4}}{16} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x**3*ln(x),x)
[Out]
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GIAC/XCAS [A] time = 0.199077, size = 18, normalized size = 1.06 \[ \frac{1}{4} \, x^{4}{\rm ln}\left (x\right ) - \frac{1}{16} \, x^{4} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^3*log(x),x, algorithm="giac")
[Out]