The formula for the arc length of a curve $y=f(x)$ from $x=a$ to $x=b$ is given by
\[L = \int_{a}^{b} \sqrt{1 + (f'(x))^2} dx\]
where $f'(x)$ is the derivative of $f(x)$. The curves $y=x$ and $y=x^2$ intersect at $x=0$ and $x=1$. So, for the function $y=x$, the
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