# Inspired by Surya Prakash

Calculus Level 5

$\large \displaystyle \int _{ 0 }^{ \infty }{ { e }^{ -\sqrt { 3 } { x }^{ \frac { 2 }{ 3 } } }\sin\left( { x }^{ \frac { 2 }{ 3 } } \right) \, dx }$

Given that the integral above is equal to $$\dfrac {3\pi^A} B$$ for rational numbers $$A$$ and $$B$$, find the value of $$A \times B$$.

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