Question

Using integration, find the area of the region bounded by the curves :
$y=|x+1|+1,x=-3,x=3,y=0$

Answer 1

Required area $={\int }_{-3}^{-1}(-x)dx+{\int }_{-1}^3(x+2)dx$
$={\left[\frac{-x^2}{2}\right]}_{-3}^{-1}+{[\frac{x^2}{2}+2x]}_{-1}^3$
$=4+12sq.units$