Lesson #85
Introduction to Integration




Quote of the Day:
"After years of finding mathematics easy, I finally reached integral calculus and came up against a barrier. I realized that this was as far as I could go, and to this day I have never successfully gone beyond it in any but the most superficial way." -- Isaac Asimov

Objectives:

The student will learn to take antiderivatives of polynomial functions.

The student will begin to comprehend the connection between differentiation and integration.



1. There are two branches of calculus:

(1) Differential Calculus whose process is differentiation and
(2) Integral Calculus whose process is integration.

2. Review:




4. Show overhead transparencies - Trial and Error

Then generalize:





7. History of the Integral Sign -- "The Mintegral"



8. Assignment:
Read Section 6.2
p. 363 (1, 4, 6, 9abc, 11, 13, 15, 16, 17)


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Send any comments or questions to: David Pleacher