ABSTRACT

Functions that require integrating are not always in the ‘standard form’ shown in Chapter 115. However, it is often possible to change a function into a form that can be integrated by using either:

an algebraic substitution – see Chapter 117,

trigonometric and hyperbolic substitutions – see Chapter 118,

partial fractions – see Chapter 119

t = tan θ 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429294402/968186b9-ffa4-4f2b-aa54-7fc58a604561/content/eq3883.tif"/> substitution – see Chapter 120

integration by parts – see Chapter 121, or

reduction formulae – see Chapter 122.