Optimal. Leaf size=11 \[ \text{ExpIntegralEi}(t)-\frac{e^t}{t} \]
[Out]
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Rubi [A] time = 0.0333979, antiderivative size = 11, 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 \[ \text{ExpIntegralEi}(t)-\frac{e^t}{t} \]
Antiderivative was successfully verified.
[In] Int[E^t/t^2,t]
[Out]
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Rubi in Sympy [A] time = 1.89631, size = 7, normalized size = 0.64 \[ \operatorname{Ei}{\left (t \right )} - \frac{e^{t}}{t} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(t)/t**2,t)
[Out]
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Mathematica [A] time = 0.0048487, size = 11, normalized size = 1. \[ \text{ExpIntegralEi}(t)-\frac{e^t}{t} \]
Antiderivative was successfully verified.
[In] Integrate[E^t/t^2,t]
[Out]
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Maple [A] time = 0.004, size = 16, normalized size = 1.5 \[ -{\frac{{{\rm e}^{t}}}{t}}-{\it Ei} \left ( 1,-t \right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(t)/t^2,t)
[Out]
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Maxima [A] time = 1.42966, size = 7, normalized size = 0.64 \[ \Gamma \left (-1, -t\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^t/t^2,t, algorithm="maxima")
[Out]
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Fricas [A] time = 0.197507, size = 18, normalized size = 1.64 \[ \frac{t{\rm Ei}\left (t\right ) - e^{t}}{t} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^t/t^2,t, algorithm="fricas")
[Out]
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Sympy [A] time = 1.60351, size = 7, normalized size = 0.64 \[ \operatorname{Ei}{\left (t \right )} - \frac{e^{t}}{t} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(t)/t**2,t)
[Out]
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GIAC/XCAS [A] time = 0.226251, size = 18, normalized size = 1.64 \[ \frac{t{\rm Ei}\left (t\right ) - e^{t}}{t} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^t/t^2,t, algorithm="giac")
[Out]