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| PAGE: 1096 | SET: Exercises | PROBLEM: 3 |
The integral is 
and 
is the right half of the circle.
Definition of the line integral :
If F is a continuous vector field on a smooth curve C, the function 
in the interval 
.
Then the line integral of F on C is 
.
The unit circle can be parameterized of the equation are 
and 
.
Since the right half of the circle, integrate the function in the interval 
.
Then 
.
The line integral of 
is
Consider 
.
Then the limits of integration will change from 
to 
Substitute 
and 
in the above integral.
.
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