A Level Maths Notes: C4 – Integrating Reciprocals of Linear Expressions by Rearrangement
Integrating any quotient of
the form
can
be done by making the substitution
For
example to find
sub
so
the integral becomes
(1)
Complete the integral by
substituting
to
obtain![]()
There is a method that is
often quicker. The method is to take out factors to obtain an
expression
which
integrates to give![]()
Example: Find![]()
![]()
Example: Find![]()
![]()