calc notes lecture 24

calc notes lecture 24 - Multiple Rule kf x dx k f x dx =...

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Lecture Section Objectives Assignment 25 5.2 The General Power Rules 5.2: 1-27 odd, 35-47 odd Understand Goals: 1. Understand how to use the General Power Rule to find indefinite integrals. 2. Understand how to use substitution to find indefinite integrals. 3. Understand how to use the General Power Rule to solve real-life problems. Example 1 : Find each indefinite integral. a) 5 2(2 1) x dx + b) 2 3 (3 1)( ) x x x dx + + c) 2 2 9 x x dx + 1
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d) 2 2 6 (1 3 ) x dx x - - e) ( 29 2 1 4 2 x dx x - - Multiply and divide integrand by a necessary constant multiple based on the Constant
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Unformatted text preview: Multiple Rule: ( ) ( ) kf x dx k f x dx = Example 2 : Find a) 2 2 ( 1) x x dx + b) 3 4 2 (3 1) x x dx + c) 2 2 8(3 4 ) x dx--2 d) 2 5 1 x x dx + e) 2 3 2 4 x x dx-& Change of variables: Example 3 : Find a) 2 -1 x dx d b) 2 -1 x x dx d 3 Example 4 : Find the indefinite integral 2 2 (2 1) x x dx + in two ways. Explain any difference in the forms of the answers. 1) Simple Power Rule 2) General Power Rule 4...
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This note was uploaded on 04/17/2008 for the course MAT 111 taught by Professor Fan during the Spring '08 term at Union.

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calc notes lecture 24 - Multiple Rule kf x dx k f x dx =...

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