Optimal. Leaf size=16 \[ \text{Unintegrable}\left ((a+b \sec (c+d x))^{2/3},x\right ) \]
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Rubi [A] time = 0.0117092, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int (a+b \sec (c+d x))^{2/3} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int (a+b \sec (c+d x))^{2/3} \, dx &=\int (a+b \sec (c+d x))^{2/3} \, dx\\ \end{align*}
Mathematica [A] time = 2.02654, size = 0, normalized size = 0. \[ \int (a+b \sec (c+d x))^{2/3} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.129, size = 0, normalized size = 0. \begin{align*} \int \left ( a+b\sec \left ( dx+c \right ) \right ) ^{{\frac{2}{3}}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int{\left (b \sec \left (d x + c\right ) + a\right )}^{\frac{2}{3}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \left (a + b \sec{\left (c + d x \right )}\right )^{\frac{2}{3}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int{\left (b \sec \left (d x + c\right ) + a\right )}^{\frac{2}{3}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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