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 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^(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) .

Examples: Find the area of the region bounded by the curve y^(2)=2y-x and the y-axis.

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .

Area of the region bounded by the curve y=x^(2)-5x+4 and the X-axis is

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

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

Sketch the graph of the cubic y=x^3-x^2-x+1 and if A is the area of the region bounded by the curve and the line y = x+1. Then A+1.92 is