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 = x and y^2 = 4 – 3x 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.

Sketch the graphs of the curves y^(2)=x and y^(2)=4-3x and the area enclosed between them

Draw a rough sketch of the curve y = cos^2 x in [0, 1] and find the area enclosed by the curve,the lines x = 0, x = pi and the x-axis.

Draw a rough sketch of the curve x^2 + y =9 and find the area enclosed by the curve, the x-axis and the lines x + 1 = 0 and x-2 = 0.

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

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

Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 } and find the area enclosed by the region using the method of integration