Integrand size = 19, antiderivative size = 19 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\text {Int}\left (\frac {e^{\frac {e}{(c+d x)^3}}}{a+b x},x\right ) \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 19, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx \\ \end{align*}
Not integrable
Time = 0.02 (sec) , antiderivative size = 21, normalized size of antiderivative = 1.11 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx \]
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Not integrable
Time = 0.04 (sec) , antiderivative size = 18, normalized size of antiderivative = 0.95
\[\int \frac {{\mathrm e}^{\frac {e}{\left (d x +c \right )^{3}}}}{b x +a}d x\]
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Not integrable
Time = 0.32 (sec) , antiderivative size = 42, normalized size of antiderivative = 2.21 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int { \frac {e^{\left (\frac {e}{{\left (d x + c\right )}^{3}}\right )}}{b x + a} \,d x } \]
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Not integrable
Time = 0.00 (sec) , antiderivative size = 1, normalized size of antiderivative = 0.05 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int \frac {e^{\frac {e}{\left (c + d x\right )^{3}}}}{a + b x} \, dx \]
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Not integrable
Time = 0.32 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.05 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int { \frac {e^{\left (\frac {e}{{\left (d x + c\right )}^{3}}\right )}}{b x + a} \,d x } \]
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Not integrable
Time = 0.35 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.05 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int { \frac {e^{\left (\frac {e}{{\left (d x + c\right )}^{3}}\right )}}{b x + a} \,d x } \]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.05 \[ \int \frac {e^{\frac {e}{(c+d x)^3}}}{a+b x} \, dx=\int \frac {{\mathrm {e}}^{\frac {e}{{\left (c+d\,x\right )}^3}}}{a+b\,x} \,d x \]
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