2. 5.2 Definite Integrals

3. Quick Review

4. Quick Review Solutions

5. What you’ll learn about Riemann Sums The Definite Integral Computing Definite Integrals on a Calculator Integrability Essential Questions What is a definite integral and how do we find it on a calculator?

6. Sigma Notation The Definite Integral as a Limit of Riemann Sums

8. The Existence of Definite Integrals The Definite Integral of a Continuous Function on [a,b] The Definite Integral

9. Example Using the Notation 1.The interval [-2, 4] is partitioned into n subintervals of equal length  x = 6/ n. Let m k denote the midpoint of the k th subinterval. Express the limit as an integral.

10. Area Under a Curve (as a Definite Integral) 2.Use the graph of the integrand and areas to evaluate the integral.

11. Area Under a Curve (as a Definite Integral) 2.Use the graph of the integrand and areas to evaluate the integral.

12. The Integral of a Constant 3.Evaluate the integral

13. Example Using NINT 4.Evaluate numerically.

14. Pg. 251, 5.2 #1-35 odd