Optimal. Leaf size=9 \[ 2 \sqrt{x+1} \]
[Out]
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Rubi [A] time = 0.00440617, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.143 \[ 2 \sqrt{x+1} \]
Antiderivative was successfully verified.
[In] Int[1/Sqrt[1 + x],x]
[Out]
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Rubi in Sympy [A] time = 0.522944, size = 7, normalized size = 0.78 \[ 2 \sqrt{x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(1/(1+x)**(1/2),x)
[Out]
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Mathematica [A] time = 0.00155672, size = 9, normalized size = 1. \[ 2 \sqrt{x+1} \]
Antiderivative was successfully verified.
[In] Integrate[1/Sqrt[1 + x],x]
[Out]
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Maple [A] time = 0.003, size = 8, normalized size = 0.9 \[ 2\,\sqrt{1+x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(1/(1+x)^(1/2),x)
[Out]
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Maxima [A] time = 0.682816, size = 9, normalized size = 1. \[ 2 \, \sqrt{x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(x + 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.259293, size = 9, normalized size = 1. \[ 2 \, \sqrt{x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(x + 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.06467, size = 7, normalized size = 0.78 \[ 2 \sqrt{x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/(1+x)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.265011, size = 9, normalized size = 1. \[ 2 \, \sqrt{x + 1} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(1/sqrt(x + 1),x, algorithm="giac")
[Out]