\(\gamma,\Gamma\)-day Problem 2
Calculus
Level
5
\[\large \int_0^{\infty}\frac{x^6}{e^{3x^2}}\,dx\]
The integral above can be written as \(\dfrac{a\sqrt{\pi}}{b^4\cdot c^{d/2}}\), where \(a\), \(b\), \(c\), and \(d\) are prime numbers.
Find \(a+b+c+d\).
This is problem for Daily challenge of Greek letters.
by
Shriram Lokhande