Optimal. Leaf size=16 \[ \text{Unintegrable}\left (\text{Erfc}(b x) e^{c+d x^2},x\right ) \]
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Rubi [A] time = 0.0151178, 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 = {} \[ \int e^{c+d x^2} \text{Erfc}(b x) \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int e^{c+d x^2} \text{erfc}(b x) \, dx &=\int e^{c+d x^2} \text{erfc}(b x) \, dx\\ \end{align*}
Mathematica [A] time = 0.0312052, size = 0, normalized size = 0. \[ \int e^{c+d x^2} \text{Erfc}(b x) \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.116, size = 0, normalized size = 0. \begin{align*} \int{{\rm e}^{d{x}^{2}+c}}{\it erfc} \left ( bx \right ) \, 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 \operatorname{erfc}\left (b x\right ) e^{\left (d x^{2} + c\right )}\,{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 (-{\left (\operatorname{erf}\left (b x\right ) - 1\right )} e^{\left (d x^{2} + c\right )}, 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} \int e^{d x^{2}} \operatorname{erfc}{\left (b x \right )}\, 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 \operatorname{erfc}\left (b x\right ) e^{\left (d x^{2} + c\right )}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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