Optimal. Leaf size=10 \[ 2 \log \left (\sqrt {x}+1\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.067, Rules used = {260} \[ 2 \log \left (\sqrt {x}+1\right ) \]
Antiderivative was successfully verified.
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Rule 260
Rubi steps
\begin {align*} \int \frac {1}{\left (1+\sqrt {x}\right ) \sqrt {x}} \, dx &=2 \log \left (1+\sqrt {x}\right )\\ \end {align*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.00 \[ 2 \log \left (\sqrt {x}+1\right ) \]
Antiderivative was successfully verified.
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fricas [A] time = 0.78, size = 8, normalized size = 0.80 \[ 2 \, \log \left (\sqrt {x} + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.17, size = 8, normalized size = 0.80 \[ 2 \, \log \left (\sqrt {x} + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 0.90 \[ 2 \ln \left (\sqrt {x}+1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.86, size = 8, normalized size = 0.80 \[ 2 \, \log \left (\sqrt {x} + 1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.05, size = 8, normalized size = 0.80 \[ 2\,\ln \left (\sqrt {x}+1\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.15, size = 8, normalized size = 0.80 \[ 2 \log {\left (\sqrt {x} + 1 \right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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