TECHNIQUES OF INTEGRATION Integration by Parts Integration of Rational Functions Substitution Trigonometric Substitution Rational Expressions of Trigonometric Functions Integrating Powers and Product of Trigonometric Functions More on Product of Sines and Cosines Other Trigonometric Powers Arc-length formula INDETERMINED FORMS and IMPROPER INTEGRALS Limits of functions Limit of Sequences More Challenging Limits Improper Integrals SERIES and POWER SERIES Convergence or Divergence of Series Challenging Series The Geometric Series Basic Comparison and Limit Tests Integral Test The Root and Ratio Tests Absolute and Conditional Convergence; Alternating Series Test Power Series Interval of Convergence of Power Series Representation of Functions by Power Series Taylor Polynomials and Taylor Series The Binomial Series