Optimal. Leaf size=17 \[ \frac{1}{3} t^3 \log (t)-\frac{t^3}{9} \]
[Out]
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Rubi [A] time = 0.0132054, 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 \[ \frac{1}{3} t^3 \log (t)-\frac{t^3}{9} \]
Antiderivative was successfully verified.
[In] Int[t^2*Log[t],t]
[Out]
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Rubi in Sympy [A] time = 1.12878, size = 12, normalized size = 0.71 \[ \frac{t^{3} \log{\left (t \right )}}{3} - \frac{t^{3}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(t**2*ln(t),t)
[Out]
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Mathematica [A] time = 0.00172183, size = 17, normalized size = 1. \[ \frac{1}{3} t^3 \log (t)-\frac{t^3}{9} \]
Antiderivative was successfully verified.
[In] Integrate[t^2*Log[t],t]
[Out]
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Maple [A] time = 0.003, size = 14, normalized size = 0.8 \[ -{\frac{{t}^{3}}{9}}+{\frac{{t}^{3}\ln \left ( t \right ) }{3}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(t^2*ln(t),t)
[Out]
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Maxima [A] time = 1.41644, size = 18, normalized size = 1.06 \[ \frac{1}{3} \, t^{3} \log \left (t\right ) - \frac{1}{9} \, t^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(t^2*log(t),t, algorithm="maxima")
[Out]
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Fricas [A] time = 0.220029, size = 18, normalized size = 1.06 \[ \frac{1}{3} \, t^{3} \log \left (t\right ) - \frac{1}{9} \, t^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(t^2*log(t),t, algorithm="fricas")
[Out]
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Sympy [A] time = 0.082239, size = 12, normalized size = 0.71 \[ \frac{t^{3} \log{\left (t \right )}}{3} - \frac{t^{3}}{9} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(t**2*ln(t),t)
[Out]
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GIAC/XCAS [A] time = 0.200718, size = 18, normalized size = 1.06 \[ \frac{1}{3} \, t^{3}{\rm ln}\left (t\right ) - \frac{1}{9} \, t^{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(t^2*log(t),t, algorithm="giac")
[Out]