# Interesting, isn't it?

Calculus Level 5

$\large{\displaystyle \int^{\infty}_{0} e^{-2t} t^2 \text{erf} (\sqrt{t} ) \, dt=\frac{\sqrt{A}}{B}}$

If the equation above is true for positive integers $$A$$ and $$B$$ and $$A$$ being square free, find the value of $$A+B$$.

Note: $$\text{erf}(x)$$ is the error function.

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