UNIT 3 Structure 3.1 32 3.3 REDUCTION FORMULAS Introduction Reduction Formula Integrals Involving Trigonometric Functions 3.3.1 Reduction Formulas for 3.3.2 Reduction Formulas…

Vector Functions Lesson 6 Objectives At the end of the lesson you should be able to: 1. Define a vector function. 2. Find the limit of a vector function. 3. Differentiate…

Reduction Formula Reduction Formula Reduction (or recurrence) formulae expresses a given integral as the sum of a function and a known integral. Integration by parts often…

1. 2012/2013 M. Ilyas Hadikusuma, M.Eng Matematika Terapan 1 TIF 21101 APPLIED MATH 1 (MATEMATIKA TERAPAN 1) Week 13 Anti Derivative and Integral 2. 2012/2013 M. Ilyas Hadikusuma,…

1 Anti derivatives DEF – 1: Let f(x) be a given function. If there is a differentiable function F(x) such that    d F x = f x dx    then F(x) is…

Slide 1 Integrals 5 Slide 2 Integration Using Tables and Computer Algebra Systems 5.8 Slide 3 3 Tables of Integrals Slide 4 4 Tables of indefinite integrals are very useful…

Ch8: STRATEGY FOR INTEGRATION integration is more challenging than differentiation. No hard and fast rules can be given as to which method applies in a given situation, but…

Techniques of Integration Substitution Rule Integration by Parts Trigonometric Integrals Trigonometric Substitution Integration of Rational Functions by Partial Fractions…

Sec 7.5: STRATEGY FOR INTEGRATION integration is more challenging than differentiation. No hard and fast rules can be given as to which method applies in a given situation,…

13.2 Integration by Substitution Let w be the inside function Write Do cross-multiply Back to the given integral and do the substitution Take the integral Express the final…