Integrand size = 17, antiderivative size = 17 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\text {Int}\left (\frac {e^{c+d x^2} \text {erf}(b x)}{x},x\right ) \]
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Not integrable
Time = 0.03 (sec) , antiderivative size = 17, 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 = {} \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx \\ \end{align*}
Not integrable
Time = 0.11 (sec) , antiderivative size = 19, normalized size of antiderivative = 1.12 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx \]
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Not integrable
Time = 0.07 (sec) , antiderivative size = 16, normalized size of antiderivative = 0.94
\[\int \frac {{\mathrm e}^{d \,x^{2}+c} \operatorname {erf}\left (b x \right )}{x}d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.06 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\int { \frac {\operatorname {erf}\left (b x\right ) e^{\left (d x^{2} + c\right )}}{x} \,d x } \]
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Not integrable
Time = 2.92 (sec) , antiderivative size = 17, normalized size of antiderivative = 1.00 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=e^{c} \int \frac {e^{d x^{2}} \operatorname {erf}{\left (b x \right )}}{x}\, dx \]
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Not integrable
Time = 0.28 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.06 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\int { \frac {\operatorname {erf}\left (b x\right ) e^{\left (d x^{2} + c\right )}}{x} \,d x } \]
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Not integrable
Time = 0.26 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.06 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\int { \frac {\operatorname {erf}\left (b x\right ) e^{\left (d x^{2} + c\right )}}{x} \,d x } \]
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Not integrable
Time = 5.25 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.06 \[ \int \frac {e^{c+d x^2} \text {erf}(b x)}{x} \, dx=\int \frac {{\mathrm {e}}^{d\,x^2+c}\,\mathrm {erf}\left (b\,x\right )}{x} \,d x \]
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