Complete the problem below using direct integration of load to find equations for shear and moment and to plot the shear and moment diagrams. In doing so$,$ ensure you:

Find equations for load, shear, and moment for all regions of the beam.

Identify all discontinuities in the beam and corresponding regions of analysis.

Use the DIRECT INTEGRATION OF LOAD METHOD $($other methods will be marked as incorrect$)$

Correctly identify boundary conditions and clearly show how they are applied to the problem in each region.

Draw your shear and moment diagrams below a diagram of the beam.

Write equations of shear and moment directly on the diagrams.

Identify values of shear and moment at each discontinuity.

Identify locations of maximum$/$minimum moment that may occur between discontinuities and provide the values directly on the diagrams.