$+26$ 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$)[10$ points$]$ List four bounaary conanons or ule vean.

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

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

$6R_B+10KN*m+20KN*m=0$

$($d$)[10$ points$]$ Determine the equation of the elastic curve, $y(x).$

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

$R_B=-5A(darr)$

$+$uarr${}_y=0$;$R_A+R_B-0=0$

$\text{'}{R}_A=5kN()$

$w(x)=0$

$v(x)={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}-w(x)dx=5($:$x-6$:${)}^0-5($:$x-6$:${)}^0|x|$

$M(x)={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}v(x)dx=5(x-6$:$)-5(x-6)+|x|$

$M(0)=0$;$M(0)=c=0$

EJ $(x)={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}M(x)dx=$