3.654 \(\int \frac{e^{\sqrt{x}}}{\sqrt{x}} \, dx\)

Optimal. Leaf size=9 \[ 2 e^{\sqrt{x}} \]

[Out]

2*E^Sqrt[x]

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Rubi [A]  time = 0.0169082, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077 \[ 2 e^{\sqrt{x}} \]

Antiderivative was successfully verified.

[In]  Int[E^Sqrt[x]/Sqrt[x],x]

[Out]

2*E^Sqrt[x]

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Rubi in Sympy [A]  time = 2.76199, size = 7, normalized size = 0.78 \[ 2 e^{\sqrt{x}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(exp(x**(1/2))/x**(1/2),x)

[Out]

2*exp(sqrt(x))

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Mathematica [A]  time = 0.00321647, size = 9, normalized size = 1. \[ 2 e^{\sqrt{x}} \]

Antiderivative was successfully verified.

[In]  Integrate[E^Sqrt[x]/Sqrt[x],x]

[Out]

2*E^Sqrt[x]

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Maple [A]  time = 0.004, size = 7, normalized size = 0.8 \[ 2\,{{\rm e}^{\sqrt{x}}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(exp(x^(1/2))/x^(1/2),x)

[Out]

2*exp(x^(1/2))

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Maxima [A]  time = 0.770171, size = 8, normalized size = 0.89 \[ 2 \, e^{\sqrt{x}} \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

2*e^sqrt(x)

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Fricas [A]  time = 0.240813, size = 8, normalized size = 0.89 \[ 2 \, e^{\sqrt{x}} \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

2*e^sqrt(x)

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Sympy [A]  time = 0.213809, size = 7, normalized size = 0.78 \[ 2 e^{\sqrt{x}} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(exp(x**(1/2))/x**(1/2),x)

[Out]

2*exp(sqrt(x))

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GIAC/XCAS [A]  time = 0.2234, size = 8, normalized size = 0.89 \[ 2 \, e^{\sqrt{x}} \]

Verification of antiderivative is not currently implemented for this CAS.

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

[Out]

2*e^sqrt(x)