8 4. Set up an integral to find the arc length of the curve $y = x^3$, $0 \le x \le 1$.
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Step 1: To find the arc length of a curve, we can use the formula: \[L = \int_{a}^{b} \sqrt{1 + \left(\frac{dy}{dx}\right)^2} \, dx\] where \(a\) and \(b\) are the limits of integration. Show more…
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