For the vector field~V= (yz, xz, xy) we need the line integral along thecurve parameterized by~r(t) = (t3,t2,t) witht∈[1,3]. First calculate it directly by using the given parameterization, that is evaluate thisline integral. Then, check is the field is irrotational. If yes, obtain its potential from∇Φ =~V. Use the Fundamental Theorem of Calculus for Line Integralof Vector Fields to evaluate the integral.