Optimal. Leaf size=8 \[ \frac {a^x}{\log (a)} \]
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Rubi [A] time = 0.00, antiderivative size = 8, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 3, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.333, Rules used = {2194} \[ \frac {a^x}{\log (a)} \]
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {align*} \int a^x \, dx &=\frac {a^x}{\log (a)}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 8, normalized size = 1.00 \[ \frac {a^x}{\log (a)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 8, normalized size = 1.00 \[ \frac {a^{x}}{\log \relax (a)} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 1.15, size = 8, normalized size = 1.00 \[ \frac {a^{x}}{\log \relax (a)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 9, normalized size = 1.12 \[ \frac {a^{x}}{\ln \relax (a )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 8, normalized size = 1.00 \[ \frac {a^{x}}{\log \relax (a)} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.16, size = 8, normalized size = 1.00 \[ \frac {a^x}{\ln \relax (a)} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.09, size = 8, normalized size = 1.00 \[ \begin {cases} \frac {a^{x}}{\log {\relax (a )}} & \text {for}\: \log {\relax (a )} \neq 0 \\x & \text {otherwise} \end {cases} \]
Verification of antiderivative is not currently implemented for this CAS.
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