Lesson 13 Integration by miscellaneous substitution

# Lesson 13 - T OPI C TECHNIQUES OF INTEGRATION Click to edit Master subtitle style TECHNIQUES OF INTEGRATION 1 Integration by parts 2 Integration by

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Click to edit Master subtitle style TOPIC TECHNIQUES OF INTEGRATION

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Click to edit Master subtitle style TECHNIQUES OF INTEGRATION 1. Integration by parts 2. Integration by trigonometric substitution 3. Integration by miscellaneous substitution 4. Integration by partial fraction
Click to edit Master subtitle style TECHNIQUES OF INTEGRATION 3. Integration by miscellaneous substitution

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OBJECTIVES translate a rational function of sine and cosine into a rational function of another variable; use the basic identities in evaluating integrals involving rational functions of sine and cosine; and evaluate the given integrals using appropriate substitutions.
Integration by miscellaneous substitution : A. Integration of rational functions of sine and cosine using half angle substitution In this lesson we shall introduce several substitution method to simplify the form of the integrand. They are as follows: B. Fractional powers of x D. Reciprocal substitution C. Algebraic substitution

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A. Integration of rational functions of
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## This note was uploaded on 08/19/2011 for the course ECON 232 taught by Professor Charles during the Spring '11 term at MIT.

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Lesson 13 - T OPI C TECHNIQUES OF INTEGRATION Click to edit Master subtitle style TECHNIQUES OF INTEGRATION 1 Integration by parts 2 Integration by

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