$($a$)$ A beam is clamped at A$,$ simply supported at B and subjected to a concentrated load, P as shown in Figure $3\mathrm{.}17.$ By first deriving a general deflection equation of the beam together with equilibrium equations, determine all reactions and end fixing moment.

$($a$)$Repeat question $1($a$)$ above using only the fundamental equations derived using the direct integration method $($Refer to Table $1\mathrm{.}2)$