t$26$ Problem $1(50$ points$).$ For the beam shown below with a constant EI$,$ answer the questions with the given $x-$axis using Integration Method:

$($a$)$ points$]$ List rour vuunua$$y conumuns vi uiv unam.

$($b$)[10$ points$]$ Determine the equation of the distributed load, $(x).$

$($c$)$ points$]$ Determine the equation of the bending moment, $M(x).$

$($d$)$ points$]$ Determine the equation of the elastic curve, $y(x).$

$($e$)$ points$]$ Determine the slope angle at point $B,{}_B.$