Optimal. Leaf size=20 \[ \text{Unintegrable}\left (\frac{e^{-b^2 x^2} \text{Erf}(b x)}{x},x\right ) \]
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Rubi [A] time = 0.0346637, 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 = {} \[ \int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{e^{-b^2 x^2} \text{erf}(b x)}{x} \, dx &=\int \frac{e^{-b^2 x^2} \text{erf}(b x)}{x} \, dx\\ \end{align*}
Mathematica [A] time = 0.0846563, size = 0, normalized size = 0. \[ \int \frac{e^{-b^2 x^2} \text{Erf}(b x)}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.132, size = 0, normalized size = 0. \begin{align*} \int{\frac{{\it Erf} \left ( bx \right ) }{{{\rm e}^{{b}^{2}{x}^{2}}}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{\operatorname{erf}\left (b x\right ) e^{\left (-b^{2} x^{2}\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{\operatorname{erf}\left (b x\right ) e^{\left (-b^{2} x^{2}\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*} \int \frac{e^{- b^{2} x^{2}} \operatorname{erf}{\left (b x \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{\operatorname{erf}\left (b x\right ) e^{\left (-b^{2} x^{2}\right )}}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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