Optimal. Leaf size=16 \[ -e^{-x} x-e^{-x} \]
[Out]
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Rubi [A] time = 0.0134441, antiderivative size = 16, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.286 \[ -e^{-x} x-e^{-x} \]
Antiderivative was successfully verified.
[In] Int[x/E^x,x]
[Out]
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Rubi in Sympy [A] time = 1.0391, size = 10, normalized size = 0.62 \[ - x e^{- x} - e^{- x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(x/exp(x),x)
[Out]
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Mathematica [A] time = 0.00248595, size = 11, normalized size = 0.69 \[ e^{-x} (-x-1) \]
Antiderivative was successfully verified.
[In] Integrate[x/E^x,x]
[Out]
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Maple [A] time = 0.003, size = 10, normalized size = 0.6 \[ -{\frac{1+x}{{{\rm e}^{x}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(x/exp(x),x)
[Out]
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Maxima [A] time = 1.41769, size = 12, normalized size = 0.75 \[ -{\left (x + 1\right )} e^{\left (-x\right )} \]
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 = 0.193265, size = 12, normalized size = 0.75 \[ -{\left (x + 1\right )} e^{\left (-x\right )} \]
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 = 0.070098, size = 7, normalized size = 0.44 \[ \left (- x - 1\right ) e^{- x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x/exp(x),x)
[Out]
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GIAC/XCAS [A] time = 0.237688, size = 12, normalized size = 0.75 \[ -{\left (x + 1\right )} e^{\left (-x\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x*e^(-x),x, algorithm="giac")
[Out]