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.

Draw the rough sketch of the curve y=x^(4)-x^(2) .

Draw the rough sketch of the curve y=(x-1)^(2)(x-3)^(3)

Draw the rough sketch of the curve y=(x-1)^(2)(x-2)(x-3)^(3) .

Draw a rough sketch of the graph of the curve x^2/4+y^2/9=1 and evaluate the area of the region under the curve and above the 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 curve y=(x)/(pi)+2sin^(2)x, and find the area between the x-axis,the curve and the ordinates x=0 and ,x=pi

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

Find the area bounded by the curve y=x^3-3x^2+2x and the x-axis.

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+abs(x+1),x=-3, x-=3, y=0 and find the area of the region bounded by them, using integration.