Math 1 lect18 - Indefinite Integrals.ppt

# Math 1 lect18 - Indefinite Integrals.ppt - Engineering...

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Engineering Mathematics 1 Engineering Mathematics 1 Christine Yeo Christine Yeo Lecture 18 Indefinite Integrals Curtin University, Sarawak Campus 1

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Overview Curtin University, Sarawak Campus 2 The meaning of indefinite integrals Elementary integration rules Technique of integration by substitution.
Motivation Curtin University, Sarawak Campus 3 Finding anti-derivatives is a core skill in engineering mathematics. Many practical problems require integration techniques in their solution.

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Key Concepts in this lecture Curtin University, Sarawak Campus 4 The indefinite integral. Integration by substitution. The Summation Notation.
Contents Curtin University, Sarawak Campus 5 The idea of an indefinite integral. Elementary integration formulae from differentiation formulae. The substitution method for integration.

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Outcomes Curtin University, Sarawak Campus 6 You should be able to solve elementary integration problems. You should be able to evaluate basic integrals requiring a substitution quickly and accurately.
Indefinite Integrals Curtin University, Sarawak Campus 9 Reverse of derivative. The process is called antidifferentiation or integration. Here, f(x) is the integrand, x is the integration variable

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Derivative and Anti-derivative Derivative and Anti-derivative Curtin University, Sarawak Campus 12 f(x) Derivative f ’(x) Anti-derivative F(x)
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