Optimal. Leaf size=20 \[ \text{Unintegrable}\left (\frac{\sqrt [3]{a \cosh (c+d x)+a}}{x},x\right ) \]
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Rubi [A] time = 0.0629971, 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 = {} \[ \int \frac{\sqrt [3]{a+a \cosh (c+d x)}}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\sqrt [3]{a+a \cosh (c+d x)}}{x} \, dx &=\int \frac{\sqrt [3]{a+a \cosh (c+d x)}}{x} \, dx\\ \end{align*}
Mathematica [A] time = 2.51328, size = 0, normalized size = 0. \[ \int \frac{\sqrt [3]{a+a \cosh (c+d x)}}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [F] time = 180., size = 0, normalized size = 0. \begin{align*} \text{hanged} \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 \frac{{\left (a \cosh \left (d x + c\right ) + a\right )}^{\frac{1}{3}}}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [F(-2)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Exception raised: UnboundLocalError} \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 \frac{\sqrt [3]{a \left (\cosh{\left (c + d x \right )} + 1\right )}}{x}\, 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 \frac{{\left (a \cosh \left (d x + c\right ) + a\right )}^{\frac{1}{3}}}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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