Optimal. Leaf size=21 \[ \text{Unintegrable}\left (\frac{e^{\frac{e}{(c+d x)^3}}}{a+b x},x\right ) \]
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Rubi [A] time = 0.0222072, 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 = {} \[ \int \frac{e^{\frac{e}{(c+d x)^3}}}{a+b x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{e^{\frac{e}{(c+d x)^3}}}{a+b x} \, dx &=\int \frac{e^{\frac{e}{(c+d x)^3}}}{a+b x} \, dx\\ \end{align*}
Mathematica [A] time = 0.0314481, size = 0, normalized size = 0. \[ \int \frac{e^{\frac{e}{(c+d x)^3}}}{a+b x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.076, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{bx+a}{{\rm e}^{{\frac{e}{ \left ( dx+c \right ) ^{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 \frac{e^{\left (\frac{e}{{\left (d x + c\right )}^{3}}\right )}}{b x + a}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{e^{\left (\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right )}}{b x + a}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [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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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{e^{\left (\frac{e}{{\left (d x + c\right )}^{3}}\right )}}{b x + a}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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