Integration of Trigonometric Expression
Integration of Even power of 
Note that: for even power of 
use the identity
i) 
ii) 
Example 01
Find 
Example 02
Odd powers of 
For odd powers of
use identity 
Example
Find 
Any power of tan
The identity 
is useful as it is the fact that 
It will be understood that;
Example:
1. Find 
Solution:
2. 
solution
Multiple Angles
To integrate such type of integral, one of the factor formulae will be used
1. 
2. 
3. 
4. 
Example
1. Find 
Solution
2.
Solution
EXERCISE
Find the integral of the following
1. 
2. 
3. 
4. 
Integrated by change of variables 
1. 
Note that
For integrand containing 
and
, or even powers of these, the change of variable 
can be used.
Example
