A cube with sides L is located in such a way that one of its vertices coincides with the origin of our reference system. In the entire region there is an electric field given by (see image 1), where E_x and E_y are known constants, and x and y correspond to the distances from the origin to a point on the x and y axis, respectively. Find the electric field flux through each of the six faces of the cube and the total electric charge inside the cube. (see image 2)

A cube with sides L is located in such a way that one of its vertices coincides with the origin of our reference system. In the entire region there is an electric field given by (see image 1), where E_x and E_y are known constants, and x and y correspond to the distances from the origin to a point on the x and y axis, respectively. Find the electric field flux through each of the six faces of the cube and the total electric charge inside the cube. (see image 2)