# 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 $$a+b$$.

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