1. AP Calculus Ms. Battaglia

2. If f and g are continuous on [a,b] and g(x)<f(x) for all x in [a,b], then the area of the region bounded by the graphs of f and g and the vertical lines x=a and x=b is

3. Set up the definite integral that gives the area of the region. y = x 2 -6x and y = 0

4. Set up the definite integral that gives the area of the region. y = x 2 +2x+1 and y = 2x+5

5. Sketch the region bounded by the graphs of the algebraic functions and find the area of the region.

6. Sketch the region bounded by the graphs of the algebraic functions and find the area of the region.

7. Sketch the region bounded by the graphs of the algebraic functions and find the area of the region.

8. Sketch the region bounded by the graphs of the algebraic functions and find the area of the region.

9. Known precalculus Formula Representative element New integration formula A=(height)(width) ΔA=[f(x)-g(x)]Δx For example, the area formula in this section was developed as follows:

10.  Page 454 #1,5,27, 31, 32, 33, 35, 48, 97, 99-101 and Gasoline Worksheet