3.23 \(\int \frac{1}{\sqrt{x}} \, dx\)

Optimal. Leaf size=7 \[ 2 \sqrt{x} \]

[Out]

2*Sqrt[x]

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Rubi [A]  time = 0.00305264, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2 \[ 2 \sqrt{x} \]

Antiderivative was successfully verified.

[In]  Int[1/Sqrt[x],x]

[Out]

2*Sqrt[x]

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Rubi in Sympy [A]  time = 0.941094, size = 5, normalized size = 0.71 \[ 2 \sqrt{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  rubi_integrate(1/x**(1/2),x)

[Out]

2*sqrt(x)

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Mathematica [A]  time = 0.000772759, size = 7, normalized size = 1. \[ 2 \sqrt{x} \]

Antiderivative was successfully verified.

[In]  Integrate[1/Sqrt[x],x]

[Out]

2*Sqrt[x]

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Maple [A]  time = 0.003, size = 6, normalized size = 0.9 \[ 2\,\sqrt{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  int(1/x^(1/2),x)

[Out]

2*x^(1/2)

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Maxima [A]  time = 1.33954, size = 7, normalized size = 1. \[ 2 \, \sqrt{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(1/sqrt(x),x, algorithm="maxima")

[Out]

2*sqrt(x)

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Fricas [A]  time = 0.196744, size = 7, normalized size = 1. \[ 2 \, \sqrt{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(1/sqrt(x),x, algorithm="fricas")

[Out]

2*sqrt(x)

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Sympy [A]  time = 0.032994, size = 5, normalized size = 0.71 \[ 2 \sqrt{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(1/x**(1/2),x)

[Out]

2*sqrt(x)

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GIAC/XCAS [A]  time = 0.208187, size = 7, normalized size = 1. \[ 2 \, \sqrt{x} \]

Verification of antiderivative is not currently implemented for this CAS.

[In]  integrate(1/sqrt(x),x, algorithm="giac")

[Out]

2*sqrt(x)