Application of ...

The area (in square units) of the region bounded by the curves $$x=y^2$$ and $$x=3-2y^2$$ is

The area (in square units) bounded by the curves $$x\, =\, -2y^2$$ and $$x\, =\, 1-3y^2$$ is

The area of the region bounded by the curves $$x^{2} + y^{2} = 8$$ and $$y^{2} = 2x$$ is

Area common to the curves $$5x^2  = 0$$ and $$ 2x^2  + 9 = 0$$ is equal to

The area of the region, bounded by the curves $$y = \sin^{-1} x + x (1 - x)$$ and $$y = \sin^{-1} x - x (1 - x)$$ in the first quadrant, is

If the area bounded by the curves $$y=a{ x }^{ 2 }$$ and $$x=a{ y }^{ 2 }$$, $$(a>0)$$ is $$1$$ sq.units, then the value of $$a$$ is

Area bounded by curve $$y=x^2$$ and $$y=2-x^2$$ is ?

The area bounded by the parabolas $$y^2 = 4a(x + a)$$ and $$y^2 = - 4a (x - a)$$  is

The area of the region bounded by the curves $$y = 2^{x}, y = 2x - x^{2}$$ and $$x = 2$$ is

The area of the portion of the circle $${ x }^{ 2 }+{ y }^{ 2 }=64$$ which is exterior to the parabola $${ y }^{ 2 }=12x$$, is