6. A thin rod with length L is placed along the y-axis as shown in the gure. The midpoint of the rod is at the origin. The rod has been given a non-uniform charge 3 4( y2 + a"2 )5 density given by l = T 31, , where in is a positive constant. Find the magnitude of the electric kedq field at P, which is at (d, 0) . Start with d8 = and 2 r integrate. The knowns are kg, 10, d, and L. Use symmetry to simplify the problem. Hint: The integration will be very simple, if set up correctly. (15 points) dE dE