The velocity function $($in meters per second$)$ is given for a particle moving along a line. Find

a$)$ the displacement and sketch the graph of the displacement.

b$)$ the distance traveled by the particle during the given time interval.

$v(t)=t^2-2t-3,2t4$

Sketch the region enclosed by the given curves and find its area.

$y=x^3,y=x$