Let F = <6xy,5y^2> be vector field in the plane, and C the path y = 3x^2 joining (0,0) to (1,3) in the plane

Question

A. Evaluate ∫F * dr

B. Does the integral in part(A) depend on the path joining (0,0) to (1,3)?

Answer 1

A. 99/2

B. Yes, the integral does depend on the path because it is not path independent.