calculation of area by integration

Using integration calculate the area of the region bounded by the two parabolas y=x^(2) and x=y^(2)

Area of triangle by using integration

Using the concept of integration evaluate an area by definite integral

Draw the diagram to show the area enclosed by the curves : y ^(2) =16 x and x ^(2) = 16y. The straight line x =4 divides the area into two parts. Find the area of the larger portion by integration.

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

Using integration find the area of the region bounded by y^(2)=4ax and x=4a

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) =ax,x,y>=0}

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