# Looks Like A Gaussian!

Calculus Level 4

If $\displaystyle \int_0^\infty e^{ -x^{\frac {5}{2}} } \ \mathrm{d} x$ can be expressed in the form of $\dfrac {a}{b} \Gamma \left ( \dfrac {2}{5} \right )$ for positive coprime integers $$a$$ and $$b$$. Find $$a + b$$.

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