Lesson 1 Basic Integration Formulas

Lesson 1 Basic Integration Formulas - ANTIDERIVATIVES...

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Click to edit Master subtitle style 8/19/11 ANTIDERIVATIVES
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Click to edit Master subtitle style 8/19/11 THE INDEFINITE INTEGRAL AND THE BASIC INTEGRATION FORMULAS OBJECTIVES: know the relationship between differentiation and integration; identify and explain the different parts of the integral operation; and perform basic integration by applying the power formula and the properties of the indefinite integrals.
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Click to edit Master subtitle style 8/19/11 DEFINITION: ANTIDERIVATIVE (INTEGRAL) For example, the function is an antiderivative of on interval because for each x in this interval . 3 3 1 ) ( x x F = 2 ) ( x x f = ) , ( +∞ -∞ ) ( 3 1 ) ( ' 2 3 x f x x dx d x F = = = However, is not the only antiderivative of f on this interval. If we add any constant C to , then the function 3 3 1 ) ( x x F = 3 3 1 x ) ( 0 3 1 ) ( ' 2 3 x f x C x dx d x G = + = + = Definition 5.2.1 (p. 322)
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Click to edit Master subtitle style 8/19/11 In general, once any single antiderivative
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This note was uploaded on 08/19/2011 for the course MATH 22 taught by Professor Lanuza during the Spring '11 term at MIT.

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Lesson 1 Basic Integration Formulas - ANTIDERIVATIVES...

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