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

Sketch the region lying in the first quadrant and bouded by y=1 and y=4. Find the y=9x^(2),x=0,y=1 and y=4. Find the area of the region using integration.

Sketch the region common to the cirvle x^2+y^2=25 and the parabola y^2=8x Also find the area of the region using intergration .

Sketch the region common to the circle x^2 +y^2=16 and the parabola x^2=6y Also find the area of the region using intergration

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

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

Draw a rough sketch of the region {(x,y) : y^(2)le 6 a x and x^(2)+y^(2)le 16 a^(2)} . Also, find the area of the region sketched using method of integration.

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

Sketch the graph of y=sqrt(x)+1 "in"[0,4] and determine the area of the region enclosed by the curve, the axis of X and the lines x=0,x=4 .

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.