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Chapter Five Integration.

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Presentation on theme: "Chapter Five Integration."— Presentation transcript:

1 Chapter Five Integration

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

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

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

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

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

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

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

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

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

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

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

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

14 Definitions of Hyperbolic Functions
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15 Graphs of Hyperbolic Functions
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16 Hyperbolic Identities
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17 Hyperbolic Identities (cont’d)
Copyright © Houghton Mifflin Company. All rights reserved.

18 Inverse Hyperbolic Functions
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19 Differentiation and Integration of Inverse Hyperbolic Functions
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