Chapter 6 Applications of Derivatives Section 6.2 Definite Integrals.

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Presentation transcript:

Chapter 6 Applications of Derivatives Section 6.2 Definite Integrals

Quick Review

Quick Review Solutions

What you’ll learn about Existence of definite integrals for continuous functions Terminology and notation of definite integration Definite integral as area Definite integral as accumulator Definite integrals with discontinuities … 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 Read as “the integral from a to b of f of x dee x, or sometimes as “the integral from a to b of ƒ of x with respect to x.”

The Definite Integral

Example Using the Notation

Area Under a Curve (as a Definite Integral)

Area

The Integral of a Constant

Example Using NINT

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