Question
Find the arc length of the graph of the function over the indicated interval.$y=\frac{2}{3}\left(x^{2}+1\right)^{3 / 2}$
Step 1
Step 1: The formula for the arc length of a curve defined by a function $y=f(x)$ from $x=a$ to $x=b$ is given by: \[S=\int_{a}^{b} \sqrt{1+\left(\frac{dy}{dx}\right)^{2}} dx\] where $\frac{dy}{dx}$ is the derivative of the function. Show more…
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