Optimal. Leaf size=12 \[ \frac{(10 e)^x}{1+\log (10)} \]
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Rubi [A] time = 0.0055997, antiderivative size = 12, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2, Rules used = {2194} \[ \frac{(10 e)^x}{1+\log (10)} \]
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin{align*} \int (10 e)^x \, dx &=\frac{(10 e)^x}{1+\log (10)}\\ \end{align*}
Mathematica [A] time = 0.0036176, size = 12, normalized size = 1. \[ \frac{(10 e)^x}{\log (10 e)} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.01, size = 13, normalized size = 1.1 \begin{align*}{\frac{ \left ( 10\,E \right ) ^{x}}{\ln \left ( 10\,E \right ) }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.930965, size = 16, normalized size = 1.33 \begin{align*} \frac{\left (10 \, E\right )^{x}}{\log \left (10 \, E\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.96663, size = 27, normalized size = 2.25 \begin{align*} \frac{\left (10 \, E\right )^{x}}{\log \left (10 \, E\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.087169, size = 8, normalized size = 0.67 \begin{align*} \frac{\left (10 e\right )^{x}}{1 + \log{\left (10 \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.08015, size = 16, normalized size = 1.33 \begin{align*} \frac{\left (10 \, E\right )^{x}}{\log \left (10 \, E\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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