Chapter 5: Integrals.

5.1 The Area and Distance Problems.

Riemann Sums and Approximating Area under Curves.

0:00 Approximating Area under Curves.

0:10 Riemann Sums.

0:14 Example: The velocity of an object is v = 2t+1.... Find the Displacement.

0:30 Left- Riemann Sums.

7:08 Right- Riemann Sums.

11:48 Midpoint- Riemann Sums.

13:00 Area under the Curve Exact.

14:53 Bonus. 20:00 Example: F(x) = x^2 with n =4. Using table of values and L.R.Sum and R.R.Sum.

25:33 Sigma Notation.