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$$
\begin{aligned}
a lnt_0^\infty e^{-x^2} dx &= \frac{\sqrt{\pi}}{2}b + c \frac{1}{2}\
d &= e + f
\newline sup$end{aligned}
$
$$
\begin{aligned}
a lnt_0^\infty e^{-x^2} dx &= \frac{\sqrt{\pi}}{2}b + c \frac{1}{2}\
d &= e + f
\newline sup$end{aligned}
$