Section 5.2 Definite Integrals

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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Definite Integrals Section 5.2.

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Presentation transcript:

Section 5.2 Definite Integrals AP Calculus Honors Ms. Olifer

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.

Sigma Notation

The Definite Integral as a Limit of Riemann Sums

The Existence of Definite Integrals

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

The Definite Integral

Example Using the Notation

Area Under a Curve (as a Definite Integral)

Area

The Integral of a Constant

Example Using NINT