For the vector field V (y-yz sinx, x+z cos x, y cos x) evaluate the line integral along the curve parameterized by r(t) = (2t, (1+cos t)², 4 sin³ t)with t € [0, π/2]. First, calculate ▼ ×V and check if it zero or not, write conclusion in words. Next, if it is allowed by the Path Independence Integral, try to find a potential for this field. Then, if that was possible,use the Fundamental Theorem Calculus for Vector Fields to evaluate the integral.