Evaluate the line integral along the given path.

Question

Evaluate the <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> line integral  along the given path.

Answer 1

Step 1:

The integral is .

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 integral is and in the interval .

Then

The line integral of is

Solution :

.