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Lengths of Curves Section 7.4b
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Do Now Find the exact length of the curve for Which is continuous on
the given interval.
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Getting Around a Corner
Find the length of the curve over the given interval. Check the graph! There is clearly a corner at x = 0 where no derivative can exist So to find the length, split the curve at x = 0:
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Guided Practice For each of the following, find the exact length of the curve analytically by antidifferentiation. You will need to simplify the integrand algebraically before finding an antiderivative.
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Guided Practice Expand and combine like terms: Factor:
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Guided Practice
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Guided Practice
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