By definiton, E(x,y,z)=-grad V(x,y,z). This means that Ex(x,y,z)=-dV(x,y,z)/dx, so just Ex will be - integral of Ex*dx. V(x,y,z) will be the sum of the three integrals, in respect to the three components of the E vector.
Hey! Does anyone know any good method for solving complex equations of one complex variable? I found over the internet that I could use Newton's method, and I tried it for a common function, and it worked. Anyway, I'm not very pleased of Newton's method because of the use of the first...