Which of the following is the correct expression for slope \(\left(\frac{d y}{d x}\right)\) at any distance' X' in a cantilever beam shown in the figure according to the double integration method?
Where, EI is the flexural rigidity of beam section.
1
\(\frac{d y}{d x}=-\frac{W}{4 E I}(2 l x-x^2)\)
2
\(\frac{{dy}}{{dx}}=-\frac{{W}}{4 {EI}}(2 {l}-{x})\)
3
\(\frac{d y}{d x}=-\frac{W}{2 E I}(2 l x-x^2) \)
4
\(\frac{{dy}}{{dx}}=-\frac{{W}}{2 {EI}}(2l-{x})\)