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 \(e^{ix}= \cos{x} + i\sin{x} \).
by
Upanshu Gupta