Unit Five

# Integration

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.

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

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

Objective Five
Be able to evaluate Definite Integrals.

Unit Review

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

Worksheets

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Copyright © 1996 by B. Chambers and P. Lowry. All Rights Reserved.