Optimal. Leaf size=9 \[ 2 \sqrt{x+1} \]
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Rubi [A] time = 0.0007305, 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, Rules used = {32} \[ 2 \sqrt{x+1} \]
Antiderivative was successfully verified.
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Rule 32
Rubi steps
\begin{align*} \int \frac{1}{\sqrt{1+x}} \, dx &=2 \sqrt{1+x}\\ \end{align*}
Mathematica [A] time = 0.0018038, size = 9, normalized size = 1. \[ 2 \sqrt{x+1} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 8, normalized size = 0.9 \begin{align*} 2\,\sqrt{1+x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.57436, size = 9, normalized size = 1. \begin{align*} 2 \, \sqrt{x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.44447, size = 20, normalized size = 2.22 \begin{align*} 2 \, \sqrt{x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.051254, size = 7, normalized size = 0.78 \begin{align*} 2 \sqrt{x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.13343, size = 9, normalized size = 1. \begin{align*} 2 \, \sqrt{x + 1} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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