1. (3z^2y^3z^3+yz)i (3x^2y^2z^3+xz)j (3x^3y^3z^2+xy)k df/dx=(0)i +(6y^2z^3x+z)j+ (9y^2z^2x^2+y)k df/dy=(9z^5y^2+z +(6x^2yz^3)j+ (9x^3z^2y^2+x)k df/dz=(15y^3z^4+y)i +(9x^2y^2z^2+x)j+ (6x^3y^3z)k This makes vector field not conservative. 2. Int(5y)dx+10x(dy)(C) (x,y|0<=x<=1 and 0<=y<=1) 5/2 -> 25/2