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.

Find the area of the region bounded by the curves x=4y-y^(2) and the Y-axis.

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

Draw rough sketch of the graph of the function y=2\ sqrt(1-)x^2\ ,\ x in [0,1] and evaluate the area enclosed between the curve and the x-axis.

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

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

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^2+3x+2)/(x^2-3x+2) and find the area of the bounded region between the curve and the x-axis.

Find the area of the region enclosed by the curves y=x^(2)-4x+3 and the x-axis

Draw a rough sketch and find the area bounded by the curve x^(2)=yandx+y=2 .