Draw a rough sketch of the given curve `y=1+abs(x+1),x=-3, x-=3, y=0` and find the area of the region bounded by them, using integration.

Draw a rough sketch of the given curve y=1 + |x+1|,x =-3 , x =3 , y=0 and find the area of the region bounded by them , using integration

Draw a rough sketch of the curves y = (x-1)^2 and y = |x-1| . Hence, find the area of the region bounded by these curves.

Draw a rough sketch of the curves y =sin x varies from 0 to pi/2 and find the area of the region enclosed by them and x-axis

Draw a rough sketch of the curves y=sin x varies from 0 to (pi)/(2) and find the area of the region enclosed by them and x-axis

Draw a rough sketch of the curves y^(2)=x+1 and y^(2)=-x+1 and find the area enclosed between them,

Draw a rough sketch of the curves y^(2)=xandy^(2)=4-3x and find the area enclosed between them.

Draw a rough sketch of the curve y^2=4x and find the area of the region enclosed by the curve and the line y=x.

Draw a rough sketch of the curves y^2 = x + 1 and y^2 =-x+1 and find the area enclosed between them,

(i) Draw a rough sketch of the curve y^(2) = x and shade the region bounded by the line x = 1 and the curve. (ii) Using integration find the area of the shaded region.

Draw a rough sketch of the curve y=(x^2+3x+2)/(x^2-3x+2) and find the area of the bounded region between the curve and the x-axis.