Integration of Functions

This material gives a straightforward introduction to techniques of integration, which is one of the most difficult areas of calculus. A lot of completely worked examples are used to introduce methods of integration and to demonstrate problem-solving techniques. The topics are written as self-guided tutorials. Each page contains necessary definitions and formulas, which are illustrated by typical problems with detailed solutions.

• The Indefinite Integral and Basic Formulas of Integration. Table of Integrals
• Change of Variable
• Integration by Parts
• Integration of Rational Functions
• Integration of Irrational Functions
• Integration of Rational Expressions of Trigonometric Functions
• Integration of Some Classes of Trigonometric Functions
• Integration of Hyperbolic Functions
• Trigonometric and Hyperbolic Substitutions
• The Definite Integral and Fundamental Theorem of Calculus
• Improper Integrals