Integral of 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
