Use the method of integration to determine the equation of deflection curve for each of the following beams. (a) write down the euler-bernoulli (e-b) beam equation for each field. how many integration constants would you end up with? (b) specify all the boundary conditions, continuity conditions, and equilibrium conditions (including free-body diagrams) that are needed to determine the unknowns. (c) how many unknowns and equations do you end up with?