$(15$ pts$)$ Using the integration method, the following problems will be solved. A distributed force acts on a cantilever beam, as shown in Fig. $3.$

$($a$)$ Reactions. $(3$ points$)$

$($b$)$ Determine the shear force $(5$ points$)$

$($c$)$ Determine the bending moment $(5$ points$)$

$($d$)$ Find the maximum shear and bending moment $(2$ points$)$

Figure $3$ A cantilever beam under distributed loading.