Optimal. Leaf size=9 \[ \frac{e^{x^2}}{2} \]
[Out]
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Rubi [A] time = 0.0118742, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ \frac{e^{x^2}}{2} \]
Antiderivative was successfully verified.
[In] Int[E^x^2*x,x]
[Out]
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Rubi in Sympy [A] time = 1.06089, size = 5, normalized size = 0.56 \[ \frac{e^{x^{2}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(x**2)*x,x)
[Out]
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Mathematica [A] time = 0.00116154, size = 9, normalized size = 1. \[ \frac{e^{x^2}}{2} \]
Antiderivative was successfully verified.
[In] Integrate[E^x^2*x,x]
[Out]
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Maple [A] time = 0., size = 7, normalized size = 0.8 \[{\frac{{{\rm e}^{{x}^{2}}}}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(x^2)*x,x)
[Out]
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Maxima [A] time = 1.35177, size = 8, normalized size = 0.89 \[ \frac{1}{2} \, e^{\left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^(x^2),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.212342, size = 8, normalized size = 0.89 \[ \frac{1}{2} \, e^{\left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^(x^2),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.05864, size = 5, normalized size = 0.56 \[ \frac{e^{x^{2}}}{2} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(x**2)*x,x)
[Out]
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GIAC/XCAS [A] time = 0.223895, size = 8, normalized size = 0.89 \[ \frac{1}{2} \, e^{\left (x^{2}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^(x^2),x, algorithm="giac")
[Out]