Optimal. Leaf size=9 \[ \frac{e^{a x}}{a} \]
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Rubi [A] time = 0.0017289, antiderivative size = 9, 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} \[ \frac{e^{a x}}{a} \]
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin{align*} \int e^{a x} \, dx &=\frac{e^{a x}}{a}\\ \end{align*}
Mathematica [A] time = 0.0011267, size = 9, normalized size = 1. \[ \frac{e^{a x}}{a} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.001, size = 9, normalized size = 1. \begin{align*}{\frac{{{\rm e}^{ax}}}{a}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.955901, size = 11, normalized size = 1.22 \begin{align*} \frac{e^{\left (a x\right )}}{a} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.56077, size = 15, normalized size = 1.67 \begin{align*} \frac{e^{\left (a x\right )}}{a} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.054832, size = 7, normalized size = 0.78 \begin{align*} \begin{cases} \frac{e^{a x}}{a} & \text{for}\: a \neq 0 \\x & \text{otherwise} \end{cases} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.07132, size = 11, normalized size = 1.22 \begin{align*} \frac{e^{\left (a x\right )}}{a} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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