Optimal. Leaf size=15 \[ \frac{F^{a+b x}}{b \log (F)} \]
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Rubi [A] time = 0.0028422, antiderivative size = 15, normalized size of antiderivative = 1., 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*}
Mathematica [A] time = 0.0035217, size = 15, normalized size = 1. \[ \frac{F^{a+b x}}{b \log (F)} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.006, size = 16, normalized size = 1.1 \begin{align*}{\frac{{F}^{bx+a}}{b\ln \left ( F \right ) }} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 1.05093, size = 20, normalized size = 1.33 \begin{align*} \frac{F^{b x + a}}{b \log \left (F\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.51011, size = 32, normalized size = 2.13 \begin{align*} \frac{F^{b x + a}}{b \log \left (F\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.092784, size = 15, normalized size = 1. \begin{align*} \begin{cases} \frac{F^{a + b x}}{b \log{\left (F \right )}} & \text{for}\: b \log{\left (F \right )} \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 = 1.19125, size = 20, normalized size = 1.33 \begin{align*} \frac{F^{b x + a}}{b \log \left (F\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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