Definite integral Problem 2
Calculus
Level
4
\[\large \int_{1}^{16} \tan^{-1} \sqrt{\sqrt x - 1} \, dx \]
Given that the integral above is equal to \( a \pi - 2\sqrt b\), where \(a\) and \(b\) are rational numbers, find the value of \(a\times b\).
by
Sandeep Bhardwaj