Unit Eight

# Integrals of Transcendental Functions

Unit Objective:
Learn to integrate trigonometric, logarithmic, and exponential functions. Be able to use integral tables and integrate by parts. This unit should take no more than 2 weeks to complete.

*All assignments are in Basic Technical Mathematics With Calculus 7th edition by Allyn J. Washington, 2000.

Method of Evaluation:
The unit test will be a pencil and paper quiz taken at your class site. The test will be administered by the instructor or by a proctor. Please see the course schedule for the exact time and date of the unit test.

Objective One
Be able to use the power formula to integrate integrals containing powers of transcendental functions.

• Complete Work Exercises 28.1, pages 813-814 #1-7 odd, 13-23 odd, 27.
• Quick Review sheet 8-1.

Objective Two
Learn how to use:

• Read 28.2, pages 814-816, omit Exercise 7.
• Complete Work Exercises 28.2, page 817 #1-29 odd, 33.
• Quick Review sheet 8-2.

Objective Three
Learn how to use:

• complete Work Experiences 28.3, page 820 #1-17 odd, 21,25.
• Quick Review sheet 8-3.

Objective Four
Learn to integrate the basic trigonometric functions.

• Complete Work Exercises 28.4, pages 823-824 #1-17 odd, 22,25.
• Quick Review sheet 8-4.

Objective Five
Learn to integrate odd powers of sines or cosines.

• Read 28.5, pages 824-827 Examples 1, 2, and 4 only.
• Complete Work Exercises 28.5, pages 827-828 #1-4,15.
• Quick Review sheet 8-5.

Objective Six
Learn to integrate by parts.

• Read 28.7, pages 832-834, Examples 1-3,and 5 only.
• Complete Work Exercises 28.7, page 835 #1-11 odd, 17.
• Quick Review sheet 8-6.

Objective Seven
Learn how to use the integral table in Appendix D and inside back cover of text.

• Read 28.11, pages 847-849 Examples 1-3 only.
• Complete Work Exercises 28.11, page 849 #1-5,12,14,20,38.
• Read 28.6, pages 828-831 Examples 1-3,6, and 7.
• Complete Work Exercises 28.6, page 831 #1-7 odd, 11,25,27.
• Quick Review sheet 8-7.

Unit Review

• Review Exercises, page 851 #1-5 odd, 6-9 all, 11,17,25,29,31,36,37,39.
(Use Table B and Appendix D)
• Practice Test, page 852 #1,2,6,8.

Worksheets