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

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):y^2le4x,4x^2+4y^2le9}

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

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

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

Sketch the region of the ellipse and find its area using integration (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Draw a rough sketch of the following region and find the area enclosed by the region, using method of integration: {(x,y):y^2le5x,5x^2+5y^2le36} .

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 curves y =sin x varies from 0 to pi/2 and find the area of the region enclosed by them and x-axis