Optimal. Leaf size=15 \[ \frac {F^{a+b x}}{b \log (F)} \]
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Rubi [A] time = 0.00, antiderivative size = 15, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {2194} \[ \frac {F^{a+b x}}{b \log (F)} \]
Antiderivative was successfully verified.
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Rule 2194
Rubi steps
\begin {align*} \int F^{a+b x} \, dx &=\frac {F^{a+b x}}{b \log (F)}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 15, normalized size = 1.00 \[ \frac {F^{a+b x}}{b \log (F)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.42, size = 15, normalized size = 1.00 \[ \frac {F^{b x + a}}{b \log \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.26, size = 15, normalized size = 1.00 \[ \frac {F^{b x + a}}{b \log \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.00, size = 16, normalized size = 1.07 \[ \frac {F^{b x +a}}{b \ln \relax (F )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.43, size = 15, normalized size = 1.00 \[ \frac {F^{b x + a}}{b \log \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.44, size = 15, normalized size = 1.00 \[ \frac {F^{a+b\,x}}{b\,\ln \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 15, normalized size = 1.00 \[ \begin {cases} \frac {F^{a + b x}}{b \log {\relax (F )}} & \text {for}\: b \log {\relax (F )} \neq 0 \\x & \text {otherwise} \end {cases} \]
Verification of antiderivative is not currently implemented for this CAS.
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