Chapter Five Integration Integration Rules Copyright Houghton Mifflin

Chapter Five Integration

Integration Rules Copyright © Houghton Mifflin Company. All rights reserved. 5|2

Upper and Lower Sums Copyright © Houghton Mifflin Company. All rights reserved. 5|3

Definite Integrals Copyright © Houghton Mifflin Company. All rights reserved. 5|4

Properties of Definite Integrals Copyright © Houghton Mifflin Company. All rights reserved. 5|5

Differentiation and Definite Integration Copyright © Houghton Mifflin Company. All rights reserved. 5|6

Guidelines for Using the Fundamental Theorem of Calculus Copyright © Houghton Mifflin Company. All rights reserved. 5|7

The Mean Value Theorem for Integrals Copyright © Houghton Mifflin Company. All rights reserved. 5|8

Average Value of a Function Copyright © Houghton Mifflin Company. All rights reserved. 5|9

Guidelines for Making a Change of Variables Copyright © Houghton Mifflin Company. All rights reserved. 5 | 10

Integration of Even and Odd Functions Copyright © Houghton Mifflin Company. All rights reserved. 5 | 11

Guidelines for Integration Copyright © Houghton Mifflin Company. All rights reserved. 5 | 12

Basic Integration Rules (a > 0) Copyright © Houghton Mifflin Company. All rights reserved. 5 | 13

Definitions of Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved. 5 | 14

Graphs of Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved. 5 | 15

Hyperbolic Identities Copyright © Houghton Mifflin Company. All rights reserved. 5 | 16

Hyperbolic Identities (cont’d) Copyright © Houghton Mifflin Company. All rights reserved. 5 | 17

Inverse Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved. 5 | 18

Differentiation and Integration of Inverse Hyperbolic Functions Copyright © Houghton Mifflin Company. All rights reserved. 5 | 19