12.1 Elementary indefinite integrals

12.2 Introduction to definite integrals

12.3 The method of completing the square

12.4 Integration by substitution in general

12.5 Integration by parts

12.6 Integration by partial fractions

12.7 Further trigonometric functions

12.8 The tangent substitutions

12.9 Reduction formulae

12.10 Further reduction formulae