Unit Objective:

Understand the process of Integration as the inverse of differentiation. Be able to find definite and indefinite integrals. Be able to approximate area with rectangles and find exact area using integration. 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

Understand and be able to find simple Antiderivatives.

- Read 25.1, pages 715-717.
- Complete Work Exercises 25.1, page 717 #1-5 odd,11,13,23,25,27.
**Quick Review sheet 5-1**.

Objective Two

Be able to find the Indefinite Integral (Antiderivative) of x ^{n} and polynomials.

- Read 25.2, pages 718-719.
- Complete Work Exercises 25.2, page 722 #1-17 odd.
**Quick Review sheet 5-2**.

Objective Three

Be able to find the Indefitine Integral (Antiderivative) of more complicated functions, u ^{n}, and evaluate the constant.

- Read 25.2, pages 719-722.
- Complete Work Exercises 25.2, page 722 #19-39 odd, 39,43.
**Quick Review sheet 5-3**.

Objective Four

Be able to use a specified number of rectangles to estimate area under a curve. Understand the Fundamental Theorem of Calculus.

- Read 25.3, pages 723-727.
- Complete Work Exercises 25.3, page 727 #1a,3a,7,11,13,17.
**Quick Review sheet 5-4**.

Objective Five

Be able to evaluate Definite Integrals.

- Read 25.4, pages 728-730.
- Complete Work Exercises 25.4, page 730 #1-35 odd.
**Quick Review sheet 5-5**.

Unit Review

- Review Exercises, page 738-739 #1-23 odd, 25,29,45,47.
- Practice Test, page 739 #2,3,4.

Worksheets

- Objective 2 Worksheet.
- Objective 3a Worksheet.
- Objective 3b Worksheet.
- Objective 4 Worksheet.
- Objective 5 Worksheet.
- Answers.