Optimal. Leaf size=9 \[ x+2 \sqrt{x} \]
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Rubi [A] time = 0.0025924, antiderivative size = 9, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 1, integrand size = 13, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.077, Rules used = {14} \[ x+2 \sqrt{x} \]
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin{align*} \int \frac{1+\sqrt{x}}{\sqrt{x}} \, dx &=\int \left (1+\frac{1}{\sqrt{x}}\right ) \, dx\\ &=2 \sqrt{x}+x\\ \end{align*}
Mathematica [A] time = 0.0016986, size = 9, normalized size = 1. \[ x+2 \sqrt{x} \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 8, normalized size = 0.9 \begin{align*} x+2\,\sqrt{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.951112, size = 9, normalized size = 1. \begin{align*}{\left (\sqrt{x} + 1\right )}^{2} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.22789, size = 20, normalized size = 2.22 \begin{align*} x + 2 \, \sqrt{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.124055, size = 7, normalized size = 0.78 \begin{align*} 2 \sqrt{x} + x \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.09503, size = 9, normalized size = 1. \begin{align*} x + 2 \, \sqrt{x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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