1. Lengths of Curves
Section 7.4b

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

3. 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:

4. 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.

5. Guided Practice
Expand and combine
like terms:
Factor:

6. Guided Practice

7. Guided Practice