[" 8.Sketch the region "{(x,0):y=sqrt(4-x^(2))}" and "x" -axis.Find the area of the "],[" region using integration."]

Sketch the region |(x , y):9x^2+4y^2=36| and find the area of the region enclosed by it using integration.

Sketch the region {(x,y):4x^2+9y^2=36} and find its area using integration.

Sketch the region bounded by the curves: y=sqrt(5-x^2) and y=|x-1| and find its area, using integration.

Draw a rough sketch of the region {(x , y): y^2lt=5x ,\ 5x^2+5y^2lt=36} and find the area enclosed by the region using method of integration

Sketch the region {(x,y): 4x ^(2) + 9y ^(2) = 36} and find its area, using integration.

Sketch the region common to the circle x^2+y^2=16 and the parabols x^2=6ydot Also find the area of the region using integration.

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

Sketch the region lying in the first quadrant and bounded by y = 4x^2 ,x = 0, y = 2 and y = 4. Find the area of the region using integration.

Sketch the region bounded by the curve y= 2x-x^2 and the x-axis and find its area, by using integration.