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Evaluating Indefinite Integrals
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Objective: Learn how to Master the Basic Technique of Integration
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The Two Basic Skills
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1. The ability to notice that a certain integral fits a known formula, and so it is “ready” to be evaluated. 2. The ability to notice that a certain integral can be made “ready” to be evaluated, by using some algebraic, trigonometric or other type of manipulation.
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Skill No. 1 Recognize that a certain integral fits a known formula
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Examples
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Example (1)
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Example (2)
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Example (3)
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Example (4)
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Example (5)
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Example (6)
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Skill No. 2 Recognize that a certain integral can be made to fit a known formula
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Examples
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Example (1)
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Example (2)
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Example (3)
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Question Evaluate the following Integral
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Answer
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