# $$\gamma,\Gamma$$-day Problem 2

Calculus Level 5

This is problem for Daily challenge of greek letters.

The integral $\int_0^{\infty}\frac{x^6}{e^{3x^2}}\,dx$can be written as $$\displaystyle \frac{a\sqrt{\pi}}{b^4\cdot c^{d/2}}$$where a,b,c,d are prime numbers .

Find a+b+c+d

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