Optimal. Leaf size=11 \[ 2 e^{\sqrt{x+4}} \]
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Rubi [A] time = 0.0237167, antiderivative size = 11, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 17, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.059, Rules used = {2209} \[ 2 e^{\sqrt{x+4}} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin{align*} \int \frac{e^{\sqrt{4+x}}}{\sqrt{4+x}} \, dx &=2 e^{\sqrt{4+x}}\\ \end{align*}
Mathematica [A] time = 0.0033913, size = 11, normalized size = 1. \[ 2 e^{\sqrt{x+4}} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.024, size = 9, normalized size = 0.8 \begin{align*} 2\,{{\rm e}^{\sqrt{4+x}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.967904, size = 11, normalized size = 1. \begin{align*} 2 \, e^{\left (\sqrt{x + 4}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.678837, size = 26, normalized size = 2.36 \begin{align*} 2 \, e^{\left (\sqrt{x + 4}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.193108, size = 8, normalized size = 0.73 \begin{align*} 2 e^{\sqrt{x + 4}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.25851, size = 11, normalized size = 1. \begin{align*} 2 \, e^{\left (\sqrt{x + 4}\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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