5 Integration

This chapter should contain partially things you know -essentially the basis of integration- and quite a few new things that build on that, extending your knowledge of integrals and integration.

5.1 Basic integration
  5.1.1 standard integrals
5.2 Rules for integration
  5.2.1 Sum rule
  5.2.2 Constant multiple
5.3 Properties of definite integrals
5.4 Improper integrals
  5.4.1 Divergent integrands
5.5 Strategy
5.6 Integration by Parts
5.7 Integration by substitution
  5.7.1 Type 1
  5.7.2 Type 2
5.8 Integrals of the inverse of a linear function
5.9 Integrals of a linear function divided by a quadratic
  5.9.1 Completing the Square
  5.9.2 Method
5.10 Integration of rational Functions
  5.10.1 Partial fractions
5.11 Integrals with square roots in denominator

Chapter 5Integration

Chapter 5
Integration