1. Area Between Two Curves
AP Calculus
March 23, 2017
Mrs. Agnew

2. Essential Stuff Essential Question Essential Vocabulary
How do you find the area bounded by two curves?
Essential Vocabulary
Definite Integral
Bounded Area
Integration

3. All About Area
Recall that integration solves the Area Problem… allows us to find the area under a curve.
How might we find the area between two curves?
Area Between Curves Example #1

4. Area Between Curves
Given two functions f(x) and g(x), to find the area between the two curves from a to b…
Example #2

5. Area Between Curves
Remember, when finding area using integration, you need a lower and upper limit of integration.
The lower and upper limits, if not given, are where the two curves intersect.

6. Area Between Curves
Special Case: What if the curves intersect more than once
Do curves switch places?
In some cases, we may want to integrate with respect to y instead of x.
Guided Practice: pg 452 EVENS

7. Homework:
Page 452 #1, 3, 9 – 19 (Odd), 25, 37