Optimal. Leaf size=19 \[ \text{Unintegrable}\left (\frac{e^{a+b x-c x^2}}{x},x\right ) \]
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Rubi [A] time = 0.0276418, 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 = {} \[ \int \frac{e^{a+b x-c x^2}}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{e^{a+b x-c x^2}}{x} \, dx &=\int \frac{e^{a+b x-c x^2}}{x} \, dx\\ \end{align*}
Mathematica [A] time = 0.120651, size = 0, normalized size = 0. \[ \int \frac{e^{a+b x-c x^2}}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.012, size = 0, normalized size = 0. \begin{align*} \int{\frac{{{\rm e}^{-c{x}^{2}+bx+a}}}{x}}\, 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 (-c x^{2} + b x + a\right )}}{x}\,{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 (-c x^{2} + b x + a\right )}}{x}, 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^{a} \int \frac{e^{b x} e^{- c x^{2}}}{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 (-c x^{2} + b x + a\right )}}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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