Optimal. Leaf size=11 \[ \frac{2}{3} (x+1)^{3/2} \]
[Out]
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Rubi [A] time = 0.00429097, antiderivative size = 11, 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 \[ \frac{2}{3} (x+1)^{3/2} \]
Antiderivative was successfully verified.
[In] Int[Sqrt[1 + x],x]
[Out]
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Rubi in Sympy [A] time = 0.51193, size = 8, normalized size = 0.73 \[ \frac{2 \left (x + 1\right )^{\frac{3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate((1+x)**(1/2),x)
[Out]
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Mathematica [A] time = 0.002221, size = 11, normalized size = 1. \[ \frac{2}{3} (x+1)^{3/2} \]
Antiderivative was successfully verified.
[In] Integrate[Sqrt[1 + x],x]
[Out]
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Maple [A] time = 0.003, size = 8, normalized size = 0.7 \[{\frac{2}{3} \left ( 1+x \right ) ^{{\frac{3}{2}}}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int((1+x)^(1/2),x)
[Out]
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Maxima [A] time = 0.678469, size = 9, normalized size = 0.82 \[ \frac{2}{3} \,{\left (x + 1\right )}^{\frac{3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(x + 1),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.267706, size = 9, normalized size = 0.82 \[ \frac{2}{3} \,{\left (x + 1\right )}^{\frac{3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(x + 1),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.06315, size = 8, normalized size = 0.73 \[ \frac{2 \left (x + 1\right )^{\frac{3}{2}}}{3} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate((1+x)**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.261984, size = 9, normalized size = 0.82 \[ \frac{2}{3} \,{\left (x + 1\right )}^{\frac{3}{2}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(sqrt(x + 1),x, algorithm="giac")
[Out]