Chapter Five Integration.

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Presentation transcript:

Chapter Five Integration

Integration Rules Copyright © Houghton Mifflin Company. All rights reserved.

Upper and Lower Sums Copyright © Houghton Mifflin Company. All rights reserved.

Definite Integrals Copyright © Houghton Mifflin Company. All rights reserved.

Properties of Definite Integrals Copyright © Houghton Mifflin Company. All rights reserved.

Differentiation and Definite Integration Copyright © Houghton Mifflin Company. All rights reserved.

Guidelines for Using the Fundamental Theorem of Calculus Copyright © Houghton Mifflin Company. All rights reserved.

The Mean Value Theorem for Integrals Copyright © Houghton Mifflin Company. All rights reserved.

Average Value of a Function Copyright © Houghton Mifflin Company. All rights reserved.

Guidelines for Making a Change of Variables Copyright © Houghton Mifflin Company. All rights reserved.

Integration of Even and Odd Functions Copyright © Houghton Mifflin Company. All rights reserved.

Guidelines for Integration Copyright © Houghton Mifflin Company. All rights reserved.

Basic Integration Rules (a > 0) Copyright © Houghton Mifflin Company. All rights reserved.

Definitions of Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved.

Graphs of Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved.

Hyperbolic Identities Copyright © Houghton Mifflin Company. All rights reserved.

Hyperbolic Identities (cont’d) Copyright © Houghton Mifflin Company. All rights reserved.

Inverse Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved.

Differentiation and Integration of Inverse Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved.

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