DLMF:7.7.E6 (Q2376)

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DLMF:7.7.E6
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    test
    ∫ x ∞ e - ( a ⁢ t 2 + 2 ⁢ b ⁢ t + c ) ⁢ d t = 1 2 ⁢ π a ⁢ e ( b 2 - a ⁢ c ) / a ⁢ erfc ⁡ ( a ⁢ x + b a ) , superscript subscript 𝑥 superscript 𝑒 𝑎 superscript 𝑡 2 2 𝑏 𝑡 𝑐 𝑡 1 2 𝜋 𝑎 superscript 𝑒 superscript 𝑏 2 𝑎 𝑐 𝑎 complementary-error-function 𝑎 𝑥 𝑏 𝑎 {\displaystyle{\displaystyle\int_{x}^{\infty}e^{-(at^{2}+2bt+c)}\mathrm{d}t=% \frac{1}{2}\sqrt{\frac{\pi}{a}}e^{(b^{2}-ac)/a}\operatorname{erfc}\left(\sqrt{% a}x+\frac{b}{\sqrt{a}}\right),}}
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    DLMF:7.7.E6
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