A calculus problem by Saarthak Marathe
Calculus
Level
5
\[\large \displaystyle I= \int^{1}_{0} \dfrac { \tan^{-1}(\sqrt{2+x^2})}{(1+x^2)\sqrt{2+x^2}} \,dx \]
Find the value of \(\lfloor{1000I}\rfloor\).
Notation: \(\lfloor{\cdot}\rfloor\) denotes the floor function (greatest integer function).
by
Saarthak Marathe