Alternating signs
Calculus
Level
5
\[ \displaystyle y= \sqrt{x-\sqrt{x+\sqrt{x-\sqrt{x+\sqrt{\cdots}}}}} \]
Given that \(\displaystyle \int_{1.75}^{4.75} y \,dx = \frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).
If you are looking for more such twisted questions, Twisted problems for JEE aspirants is for you!
by
Rohith M.Athreya