Problem $1.$ For the cantilever beam given below, use Double Integration to determine slope and displacement

equations. Sketch the slope and displacement graphs versus $x$ along the length of the beam, and determine

maximum values. The values of $E$ and I are constant.

E $1.$ :$..$

Problem $2.$ For the cantilever beam given below, use the Moment$-$Area method to determine slopes and

displacements at $B$ and $C.$ While $E$ is constant $($same material$),$ I changes along the length, as indicated in the

figure $($different section sizes$).$

Problem $3.$ For the simply$-$supported beam given below, use the Moment$-$Area method to determine slopes at

$A,C$ and $B,$ as well as the displacement at $C.$ While $E$ is constant $($same material$),$ I changes along the length,

as indicated in the figure $($different section sizes$).$

Please help I really need to understand for an upcoming exam. Please include important equations and write neatly!! Thank you so much!