Question $2)$ Let $R$ be the region in the $xy-$plane that is bounded by the following two curves:

$f(x)=3-x^2,g(x)=\{\begin{array}{ccc}x+1,& if& x0\\ 1,& if& x<mn>0</mn>\end{array}$

$($i$)(2$ marks$)$ Make a neat sketch of the region $R$ and the vertical element $($strip$)$ of the area.

$($ii$)(5$ marks$)$ Find the area of $R$ using vertical element $($strip$)$ of area.