Make a rough sketch of the region given below and find its area using integration `{(x,y): 0 leq y leq x^2+3,0 leq y leq 2x+3,0 leq x leq 3}`.

Make a rough sketch of the region given below and find its area using integration {(x,y):0<=y<=x^(2)+3,0<=y<=2x+3,0<=x<=3}

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}.

Using integration find the area of the region {(x,y):x^(2)+y^(2) =ax,x,y>=0}

Using integration, find the area of the region {(x,y) : x^(2) +y^(2) le 1, x+y ge 1, x ge 0, y ge 0}

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

Find the area of the region :{(x,y):0<=y<=x^(2),0<=y<=x+2;0<=x<=3}

Area of the region given by x^(2)+y^(2)-6y<0 and 3y<=x^(2) is

Using integration find the area of the region {x,y):x^(2)+y^(2) =ax,x,y>=0}