Evaluate the following Integrals.

Definite Integral and General Riemann Sum.

0:00 Definite Integral and General Riemann Sum.

2:23 Example: f(x) = 2x-6. 25:25 Example: y = sin (x) from 0 to 2pi.

7:50 Example: integration of a semicircle function with a diameter of 8, sitting on the x-axis.

10:16 Examples of Properties of Integrals.

10:16 Example 1.

14:30 Example 2.

17:03 Bonus 1.

21:03 Bonus 2.

23:01 Example 3.

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.