1. Section 5.2 Definite Integrals
AP Calculus Honors
Ms. Olifer

2. What you’ll learn about
Riemann Sums
The Definite Integral
Computing Definite Integrals on a Calculator
Integrability
… and why
The definite integral is the basis of integral calculus,
just as the derivative is the basis of differential
calculus.

3. Sigma Notation

4. The Definite Integral as a Limit of Riemann Sums

5. The Existence of Definite Integrals

6. The Definite Integral of a Continuous Function on [a,b]

7. The Definite Integral

8. Example Using the Notation

9. Area Under a Curve (as a Definite Integral)

10. Area

11. The Integral of a Constant

12. Example Using NINT