Lengths of Curves Section 7.4b.

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Presentation transcript:

Lengths of Curves Section 7.4b

Do Now Find the exact length of the curve for Which is continuous on the given interval.

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:

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.

Guided Practice Expand and combine like terms: Factor:

Guided Practice

Guided Practice