Find the value of the line integral where and . (Hint: If F is conservative, the integration may be easier on an alternate path.)

Question

Find the value of the line integral  where  and   . (Hint: If F is conservative, the integration may be easier on an alternate path.)

Quizplus · Accepted Answer

Since the given vector field is not conservative, the line integral will depend on the path of integration. However, the value of the line integral is not needed for this problem. Instead, the answer is simply 0 because the given path is a closed loop, meaning it starts and ends at the same point. For any vector field, the line integral around a closed loop is always 0.

Find the Value of the Line Integral Where