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

Make a rough sketch of the graph of y = cos ^(2) x, 0 le x le (pi)/(2) and find the area enclosed between the curve and the axes.

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

Draw a rough sketch of the curves y=sinx and y=cosx as x varies from 0 to pi/2 . Find the area of the region enclosed by the curves and the y-axis.

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 a rough sketch of the curves y=sin x and y= cos x as x varies from 0 to pi/2 and find the area of the region enclosed between them 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.