6. A thin rod with length L is placed along the y-axis as shown in the figure. The midpoint of the rod is at the origin. The rod has been given a non-uniform charge density given by = 4(y+d) y dq P -20, where o is a A d -y dq positive constant. Find the magnitude of the electric k.dq field at P, which is at (d, 0). Start with dE=- and r integrate. The knowns are ke, 20, d, and L. Use symmetry to simplify the problem. Hint: The integration will be very simple, if set up correctly. (15 points) dE dE x