$(15$ pts$)$

$3.$ Given: $-$ Beam with loading shown

Moment equation for section AB of the beam

EI for the beam is constant

Use the direct integration method to determine:

$(1)$ the equation for the slope in section AB of the beam, and

$(2)$ the equation for the deflection in section $AB$ of the beam.

Be sure to evaluate the constants of integration before writing your final equations.

Moment Equation for Section AB of the beam: $M(x)=\frac{-Pa}{L}(x)$