4. (2 points) Find the length of the curve y = 4x - x² on [0, 4]. You may use your calculator or computer software to evaluate the integral. (Just set up the integral and then use technology to give you the answer.)
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The length \( L \) of a curve \( y = f(x) \) from \( x = a \) to \( x = b \) is given by the integral: \[ L = \int_{a}^{b} \sqrt{1 + \left( \frac{dy}{dx} \right)^2} \, dx \] Show more…
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