Optimal. Leaf size=21 \[ \text{Unintegrable}\left (\frac{e^{e (c+d x)^3}}{a+b x},x\right ) \]
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Rubi [A] time = 0.0226154, 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 = {} \[ \int \frac{e^{e (c+d x)^3}}{a+b x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{e^{e (c+d x)^3}}{a+b x} \, dx &=\int \frac{e^{e (c+d x)^3}}{a+b x} \, dx\\ \end{align*}
Mathematica [A] time = 0.384807, size = 0, normalized size = 0. \[ \int \frac{e^{e (c+d x)^3}}{a+b x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.044, size = 0, normalized size = 0. \begin{align*} \int{\frac{{{\rm e}^{e \left ( dx+c \right ) ^{3}}}}{bx+a}}\, 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 ({\left (d x + c\right )}^{3} e\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 (d^{3} e x^{3} + 3 \, c d^{2} e x^{2} + 3 \, c^{2} d e x + c^{3} e\right )}}{b x + a}, x\right ) \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*} e^{c^{3} e} \int \frac{e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}}{a + b 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{e^{\left ({\left (d x + c\right )}^{3} e\right )}}{b x + a}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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