Optimal. Leaf size=4 \[ \text{ExpIntegralEi}(a t) \]
[Out]
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Rubi [A] time = 0.0208139, antiderivative size = 4, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.111 \[ \text{ExpIntegralEi}(a t) \]
Antiderivative was successfully verified.
[In] Int[E^(a*t)/t,t]
[Out]
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Rubi in Sympy [A] time = 1.36631, size = 3, normalized size = 0.75 \[ \operatorname{Ei}{\left (a t \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(a*t)/t,t)
[Out]
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Mathematica [A] time = 0.00196054, size = 4, normalized size = 1. \[ \text{ExpIntegralEi}(a t) \]
Antiderivative was successfully verified.
[In] Integrate[E^(a*t)/t,t]
[Out]
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Maple [A] time = 0.004, size = 9, normalized size = 2.3 \[ -{\it Ei} \left ( 1,-at \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(a*t)/t,t)
[Out]
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Maxima [A] time = 1.41595, size = 5, normalized size = 1.25 \[{\rm Ei}\left (a t\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(a*t)/t,t, algorithm="maxima")
[Out]
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Fricas [A] time = 0.198334, size = 5, normalized size = 1.25 \[{\rm Ei}\left (a t\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(a*t)/t,t, algorithm="fricas")
[Out]
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Sympy [A] time = 1.34288, size = 3, normalized size = 0.75 \[ \operatorname{Ei}{\left (a t \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(a*t)/t,t)
[Out]
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GIAC/XCAS [A] time = 0.210192, size = 5, normalized size = 1.25 \[{\rm Ei}\left (a t\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(a*t)/t,t, algorithm="giac")
[Out]