An 10-m beam is subjected to a load, and the shear force follows the equation V(x)=5+0.25x² Where V is the shear force and x is length in distance along the beam. We know that V = dM/dx, and M is the bending moment. Integration yields the relationship M = Mo+ √ V dx. If Mo = 0 and x = 10 m, calculate M using a) Analytical integration, b) Multiple-application of trapezoidal rule using 1-m increments. c) Multiple-application of Simpson's 1/3 Rule using 1-m increments d) Determine the percent relative error based on (a)