Optimal. Leaf size=17 \[ \frac {F^{a+b x+c x^3}}{\log (F)} \]
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Rubi [A] time = 0.05, antiderivative size = 17, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 21, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.048, Rules used = {6706} \[ \frac {F^{a+b x+c x^3}}{\log (F)} \]
Antiderivative was successfully verified.
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Rule 6706
Rubi steps
\begin {align*} \int F^{a+b x+c x^3} \left (b+3 c x^2\right ) \, dx &=\frac {F^{a+b x+c x^3}}{\log (F)}\\ \end {align*}
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Mathematica [A] time = 0.06, size = 17, normalized size = 1.00 \[ \frac {F^{a+b x+c x^3}}{\log (F)} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.43, size = 17, normalized size = 1.00 \[ \frac {F^{c x^{3} + b x + a}}{\log \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.23, size = 17, normalized size = 1.00 \[ \frac {F^{c x^{3} + b x + a}}{\log \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 18, normalized size = 1.06 \[ \frac {F^{c \,x^{3}+b x +a}}{\ln \relax (F )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 1.00, size = 17, normalized size = 1.00 \[ \frac {F^{c x^{3} + b x + a}}{\log \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.68, size = 17, normalized size = 1.00 \[ \frac {F^{c\,x^3+b\,x+a}}{\ln \relax (F)} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.14, size = 24, normalized size = 1.41 \[ \begin {cases} \frac {F^{a + b x + c x^{3}}}{\log {\relax (F )}} & \text {for}\: \log {\relax (F )} \neq 0 \\b x + c x^{3} & \text {otherwise} \end {cases} \]
Verification of antiderivative is not currently implemented for this CAS.
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