$($a$)$ A velocity$-$time graph is shown below.

$($i$)$ The slope of a line on a velocity$-$time graph represents the acceleration of

the object. What is the acceleration in the sections $A,B$ and $C$ of the

graph above?

$($ii$)$ The area under this velocity$-$time graph represents the distance travelled.

Find the distance covered by the object in the graph above.

$($b$)$ Find the following integrals.

$($i$){\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(sinx+e^{2x})dx$

$($ii$){\displaystyle \underset{1}{\overset{2}{}}}(x^2+\frac{1}{x})dx$