(9) Find the length of the curve y = x^3/6 + 1/2x, 1 <= x <= 2.
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The formula for the arc length \( L \) of a curve \( y = f(x) \) from \( x = a \) to \( x = b \) is given by: \[ L = \int_{a}^{b} \sqrt{1 + \left( \frac{dy}{dx} \right)^2} \, dx \] Show more…
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