Page 6 - Integration Problems
P. 6
Example 1:
Perform the integration
/3
1 − tan( )
∫
2
2
cos ( ) + 1
0
2
2
Let = cos ( )
Differentiate,
2
2
= [ cos ( )]
2
2
= cos ( ) 2 + 2 cos ( )
2
2
2
= 2 cos ( ) − 2 sin( ) cos( )
cos( )
2
2
= 2 cos ( ) − 2 sin( ) cos( ) 2
cos( )
sin( )
2
2
2
= 2 cos ( ) − 2cos ( ) 2
cos( )
2
2
2
= 2 cos ( ) − 2cos ( ) 2 tan( )
2
2
Since, = cos ( )
2
