3.150 \(\int e^x \, dx\)

Optimal. Leaf size=3 \[ e^x \]

[Out]

E^x

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Rubi [A]  time = 0.00238067, antiderivative size = 3, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.333 \[ e^x \]

Antiderivative was successfully verified.

[In]  Int[E^x,x]

[Out]

E^x

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Rubi in Sympy [A]  time = 0.458163, size = 2, normalized size = 0.67 \[ e^{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(exp(x),x)

[Out]

exp(x)

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Mathematica [A]  time = 0.00018303, size = 3, normalized size = 1. \[ e^x \]

Antiderivative was successfully verified.

[In]  Integrate[E^x,x]

[Out]

E^x

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Maple [A]  time = 0.001, size = 3, normalized size = 1. \[{{\rm e}^{x}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(exp(x),x)

[Out]

exp(x)

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Maxima [A]  time = 1.39299, size = 3, normalized size = 1. \[ e^{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(e^x,x, algorithm="maxima")

[Out]

e^x

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Fricas [A]  time = 0.205797, size = 3, normalized size = 1. \[ e^{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(e^x,x, algorithm="fricas")

[Out]

e^x

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Sympy [A]  time = 0.044535, size = 2, normalized size = 0.67 \[ e^{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(exp(x),x)

[Out]

exp(x)

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GIAC/XCAS [A]  time = 0.215366, size = 3, normalized size = 1. \[ e^{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(e^x,x, algorithm="giac")

[Out]

e^x