Twelve? Ain't Nobody got time for that! Part 2
Calculus
Level
5
\[ \large \displaystyle \int_0^\infty \frac {1}{x^{12} + 1} \mathrm{d}x = \frac{ \pi (\sqrt{a} + \sqrt{b} )}{c} \]
If the equation above is satisfied for positive integers \(a,b\) and \(c\), what is the smallest value of \(a+b+c\)?
by
Pi Han Goh