1. 5.1 Area

2. Riemann Sum: the sum of the areas of approximating rectangles.

3. Definition of Area: *under the curve f(x) on the interval [a, b]

4. Definition of Area:

5. Ex 2: Let A be the area
of the region that lies
under the graph of
f (x) = e x between
x = 0 and x = 2. Find an expression for A as a limit.

6. Ex 3: Determine a region whose area is equal to the given limit:

7. Ex 4:
t: sec 5 10 15 20 25
v(t): ft/sec 31 35 43 47 46
Use the data to estimate the distance traveled from 0 to 25 seconds (use a right & left handed sum with 5 subintervals).

8. 5.1 pg. 376 #1, 5, 11, 13, 15, 17, 18, 20

9. Summation Formulas
Constant Series

10. Summation Formulas
Linear Series

11. Summation Formulas
Quadratic Series

12. Summation Formulas
Cubic Series