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![]()
![]()