Integrate, using the Natural Logarithm & Integrate the Trigonometric Functions

Example:

Let   u = 2x - 3
      du = 2 dx
      du = dx
       2

Integrate Trigonometric Functions:

1.  

 

 

Multiply by sec x + tan x    to put the expression into a form that can be integrated.
                  sec x + tan x



Now, let u = sec x + tan x
             du = (sec x tan x + sec²x) dx

So 
 

2.    (proof is similar to the above)

 
3.  

 

 

Let  u = cos x
     du = - sin x dx

so 
 

4.  

Problems