Encouraged by Abhineet Nayyar

Calculus Level 5

0(sinxx)5dx \large \int_0^\infty \left( \frac{\sin x}x \right)^5 \, dx

If the integral above is equal to abπ \dfrac ab \pi for coprime positive integers aa and bb, find the value of a+b+1a + b + 1 .

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