Optimal. Leaf size=14 \[ \frac{2^{\sqrt{x}+1}}{\log (2)} \]
[Out]
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Rubi [A] time = 0.0196678, antiderivative size = 14, 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 \[ \frac{2^{\sqrt{x}+1}}{\log (2)} \]
Antiderivative was successfully verified.
[In] Int[2^Sqrt[x]/Sqrt[x],x]
[Out]
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Rubi in Sympy [A] time = 1.32137, size = 10, normalized size = 0.71 \[ \frac{2 \cdot 2^{\sqrt{x}}}{\log{\left (2 \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(2**(x**(1/2))/x**(1/2),x)
[Out]
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Mathematica [A] time = 0.00503077, size = 14, normalized size = 1. \[ \frac{2^{\sqrt{x}+1}}{\log (2)} \]
Antiderivative was successfully verified.
[In] Integrate[2^Sqrt[x]/Sqrt[x],x]
[Out]
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Maple [A] time = 0.006, size = 12, normalized size = 0.9 \[ 2\,{\frac{{2}^{\sqrt{x}}}{\ln \left ( 2 \right ) }} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(2^(x^(1/2))/x^(1/2),x)
[Out]
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Maxima [A] time = 1.48324, size = 16, normalized size = 1.14 \[ \frac{2^{\sqrt{x} + 1}}{\log \left (2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2^sqrt(x)/sqrt(x),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.207196, size = 15, normalized size = 1.07 \[ \frac{2 \cdot 2^{\left (\sqrt{x}\right )}}{\log \left (2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2^sqrt(x)/sqrt(x),x, algorithm="fricas")
[Out]
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Sympy [A] time = 0.152574, size = 10, normalized size = 0.71 \[ \frac{2 \cdot 2^{\sqrt{x}}}{\log{\left (2 \right )}} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2**(x**(1/2))/x**(1/2),x)
[Out]
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GIAC/XCAS [A] time = 0.215751, size = 15, normalized size = 1.07 \[ \frac{2 \cdot 2^{\left (\sqrt{x}\right )}}{{\rm ln}\left (2\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(2^sqrt(x)/sqrt(x),x, algorithm="giac")
[Out]