Optimal. Leaf size=9 \[ \frac {e^{a x}}{a} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.200, 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*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ \frac {e^{a x}}{a} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 8, normalized size = 0.89 \[ \frac {e^{\left (a x\right )}}{a} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.04, size = 8, normalized size = 0.89 \[ \frac {e^{\left (a x\right )}}{a} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 1.00 \[ \frac {{\mathrm e}^{a x}}{a} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.41, size = 8, normalized size = 0.89 \[ \frac {e^{\left (a x\right )}}{a} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 8, normalized size = 0.89 \[ \frac {{\mathrm {e}}^{a\,x}}{a} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 7, normalized size = 0.78 \[ \begin {cases} \frac {e^{a x}}{a} & \text {for}\: a \neq 0 \\x & \text {otherwise} \end {cases} \]
Verification of antiderivative is not currently implemented for this CAS.
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