Optimal. Leaf size=11 \[ e^x x-e^x \]
[Out]
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Rubi [A] time = 0.0104852, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.4 \[ e^x x-e^x \]
Antiderivative was successfully verified.
[In] Int[E^x*x,x]
[Out]
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Rubi in Sympy [A] time = 0.926222, size = 7, normalized size = 0.64 \[ x e^{x} - e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(x)*x,x)
[Out]
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Mathematica [A] time = 0.00151928, size = 7, normalized size = 0.64 \[ e^x (x-1) \]
Antiderivative was successfully verified.
[In] Integrate[E^x*x,x]
[Out]
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Maple [A] time = 0.002, size = 7, normalized size = 0.6 \[ \left ( -1+x \right ){{\rm e}^{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(x)*x,x)
[Out]
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Maxima [A] time = 1.37359, size = 8, normalized size = 0.73 \[{\left (x - 1\right )} e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.198197, size = 8, normalized size = 0.73 \[{\left (x - 1\right )} e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.057101, size = 5, normalized size = 0.45 \[ \left (x - 1\right ) e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(x)*x,x)
[Out]
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GIAC/XCAS [A] time = 0.220094, size = 8, normalized size = 0.73 \[{\left (x - 1\right )} e^{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^x,x, algorithm="giac")
[Out]