All Roads Lead To \(\pi\)
Calculus
Level
3
\[ \displaystyle \large \int_{0} ^{1} \dfrac{(\ln x)^2}{(1-x)^{2}} \, dx \]
If the value of the integral above equals \(\dfrac{\pi ^{a!}}{a+1}\), where \(a\) is a positive integer, find \(a\).
by
Harsh Shrivastava