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Calculus

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Next we substitute s x S f 1 F t 2 de dy dx 1 3 1 9 3x 2 into the equation for the arc length function and simplify 1 9t dt 1 2 1 27 3 1 2 9 Step 3 We have found the integral that defines the arc length function To finish we evaluate the definite integral s x t dt dt

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