# Calculus 7 : return of $$\pi$$

Calculus Level 3

$\large \int_{-\infty}^{\infty} \dfrac{1}{e^{x^2}} \, dx$

If the value of above integral is of the form $$\displaystyle \large \pi^{\frac{a}{b}}$$, where $$a$$ and $$b$$ are coprime positive integers, find the value of $$a + b$$.

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