Please solve all four methods and show work thank you.

A simply supported beam ACB supports a uniform load of intensity q on the left half of the span $($L$)$ as shown in the figure. Find deflection at C and slope of the beam at A and B using the following methods discussed in class$($a$)$ Integration of beam bending moment$($b$)$ Method of superposition$($c$)$ Moment area method$($d$)$ Combination of Modified Castiglianos theorem $($differentiation under the integral sign$)$ and fictitious methodBriefly explain each method before presenting the solution.Take q $=2$ KN$/$m$,$ L $=2$m and tabulate your results $-$ deflection at C$,$ slopes at A and B $($Leave the results in terms of EI$)$