Question

Green's Teorem comprovate f(x,y)=y^3i+(x^3+3xy^2)j

Answer 1

take gradient of f(x,y). so find fx and fy

Answer 2

take q = x^3+3xy^2 and p = y^3

Answer 3

dq/dx = 3x^2+3y^2, dp/dy = 3Y^2

Answer 4

integral of dq/dx - dp/dy
integral of (3x^2 + 3y^2 - 3y^2)
integral of 3x^2

Answer 5

x^3 + C