A uniform line charge has a charge q = 4.1 mC and a length L = 1.2 m. Point P is at d = 0.4 m to the right of the line charge as shown. In this problem you will integrate to find the electric potential at point P due to this line charge. A. Write an expression for the linear charge density of the line charge, in terms of the given variables (don't plug in numbers yet). B. A small length dx of the line charge is marked in dark grey. How much charge dq is in the marked segment, in terms of the given variables? C. What is the distance r from the marked segment to point P, in terms of the given variables? D. The marked segment by itself will contribute a small amount dV to the electric potential at point P. Use your answers above to write an expression for dV, in terms of ke and the given variables. E. Now we need to set up an integral for the total potential at point P. 1. First, what are the bounds on xi.e., what are the smallest and largest values x can have? 2. Set up an integral expression using your expression for dV, including the bounds you found above. dx 3. Evaluate your integral, using = Inx.