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Integration by Substitution part 3 (Section 4.5)

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Presentation on theme: "Integration by Substitution part 3 (Section 4.5)"— Presentation transcript:

1 Integration by Substitution part 3 (Section 4.5)

2 Slope field: consists of line segments with slopes given by the differential equation. These line segments give a visual perspective of the directions of the solutions of the differential equation.

3 Example 1: (same instructions as problems 39-42)
(a) Sketch 2 approximate solutions of the differential equation on the slope field, one of which passes through the given point. (b) Use integration to find the particular solution of the differential equation.

4 Theorem 4.15 Integraion of Even and Odd Functions and Figure 4.39
Chart pg 303 Copyright © Houghton Mifflin Company. All rights reserved.

5 Evaluate the integral using the properties of even and odd functions as an aid.
Example 2

6 Evaluate the integral using the properties of even and odd functions as an aid.
Example 3

7 HW #3 pg 304-306 (39, 41, 42, 83-89 odd, 91-97 odd, 101-106 all)

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