# 5 once again

Calculus Level 5

$\large \int_0^\infty \sin{x^{5}} \ dx = \frac 1a \left(\sqrt b-1\right) \Gamma \left(\frac 1c \right)$

The equation above holds true for positive integers $$a$$, $$b$$, and $$c$$. Submit $$abc$$.

Notation: $$\Gamma(\cdot)$$ denotes the gamma function.

Hint: Use $$e^{ix}= \cos{x} + i\sin{x}$$.

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