The area between the ellipse and its director circle is ______ .

Find the area of the region bounded by y=2x+4 , y=1 and y=3 and y-axis

The area of one loop of the curve y² =x² (9-x²) is _______ .

The area between the ellipse and its auxillary circle is _________ .

The surface area of the solid of revolution of the region bounded by y=2x , x=0 and x=2 about x-axis is ______ .

Find the area of the curve y² = (x-5)² (x-6) between x=5 and x=6 .

The surface area generated by revolving the curve 18y² =x(y-x)² about the x-axis is ________ .

The area bounded by the curve y(1+x²)=1 and the lines x=0 , x=1 and y=0 is ______.

The area bounded by the parabola  y² = 2x and the ordinates x = 1 and x = 4 is _______ .

The area of the region bounded by the graph of y = Sin x and y = Cos x between x = 0 and x = ^π / ₄  is ______ .