Oh k !
Calculus
Level
3
\[ \large \frac{\displaystyle \int_0^{\pi/2} (\cos x)^{\sqrt{2} + 1} dx}{\displaystyle \int_0^{\pi/2} (\cos x)^{ \sqrt{2} - 1} dx}= k - \sqrt{k}\]
Find \(k\).
by
Rakshit Joshi