Encouraged by Abhineet Nayyar
Calculus
Level
5
\[ \large \int_0^\infty \left( \frac{\sin x}x \right)^5 \, dx \]
If the integral above is equal to \( \dfrac ab \pi \) for coprime positive integers \(a\) and \(b\), find the value of \(a + b + 1 \).
by
Pi Han Goh