UNIT 11 METHODS OF INTEGRATION Structure 11.1 Introduction Objectives 11.2 Basic Definitions Standard Integrals Algebra of Integrals 11.3 Integration by Substitution Method of Substitution Integrals using Trigonometric Formulas Trigonometric and Hyperbolic Substitutions Two Properties of Definite Integrals 11.4 Integration by Parts 49 Integral of a Product of Two Functions Evaluation of /eux sinbx dx and lea cosbx dx Evah@onot/ ~ai-r'dx. mdx. and / mdx Integrals of the Type jex[f(x) + f (x)] dx 11.5 ...
4100 AWL/Thomas_ch08p553-641 8/20/04 10:07 AM Page 553 Chapter 8 TECHNIQUESOF INTEGRATION OVERVIEW The Fundamental Theorem connects antiderivatives and the definite integral. Evaluating the indefinite integral L ƒsxd dx is equivalent to finding a function F such that F¿sxd = ƒsxd, and then adding an arbitrary constant C: L ƒsxd dx = Fsxd + C. In this chapter we study a number of important techniques for finding indefinite integrals of more complicated functions than those seen before ...
Reviewed by: B. Jean Reviewed by: D. Jones Reviewed by: G. Golling Text update: August 2011 Date Reviewed: Jan. 2016 C&GE approved: February 8, 2016 Mathematics (MATH) 2130 Analytic Geometry and Calculus III (4 Units) CSU:UC [formerly Mathematics 14A] Prerequisite: Successful completion of Mathematics 2120 with a grade of “C” or better Prerequisite knowledge/skills: Before entering the course the student should be able to 1. Evaluate indeterminate forms using L'Hopital's Rule, 2. Find derivatives of ...
Tarleton State University Department of Mathematics and Physics Course Syllabus Course Number & Title: MATH 2413 - Calculus I Catalog Description: Calculus I. (3-2) Algebraic and transcendental functions, limits, continuity, derivatives and related applications, an introduction to the definite integral, integration, and the Fundamental Theorem of Calculus. Use of computer technology and laboratory assignments will be required in this course. Course Prerequisites: MATH 1316 or 2412. Expanded Course Description: A first semester course that provides an introduction to the ...
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