Application of ...

If the area enclosed by the parabolas $$\displaystyle\ y= a-x^{2}$$ and $$\displaystyle\ y=x^{2}$$ is $$18\sqrt{2}$$ sq.units. Find the value of 'a'

The ratio in which the area bounded by the curves $$y^2=4x$$ and $$x^2=4y$$ is divided by the line $$x = 1$$ is

The area of the region bounded by$$y=\mid x-1\mid $$ and $$ y=1$$ is

Semicircles are drawn outside by taking every side of regular hexagon as a diameter. The perimeter of hexagon is 60 cm. Find the area of complete figure formed as such.($$\pi$$ = 3.14) ($$\sqrt3$$ = 1.73)

The area of the region bounded by the curves $$ \displaystyle y=\sqrt{x} $$ and $$ \displaystyle y=\sqrt{4-3x} $$ and $$ \displaystyle y=0 $$ is

The area bounded by the circle $${ x }^{ 2 }+{ y }^{ 2 }=8$$, the parabola $${ x }^{ 2 }=2y$$ and the line $$y=x$$ in $$y\ge 0$$ is

The area bounded by the curve $$ \displaystyle y=\sin x $$ and $$ \displaystyle y=\cos x,\forall 0\leq x\leq \pi /2 $$ is

Area bounded by the curves $$ \displaystyle y=xe^{x} $$ and $$ \displaystyle y=xe^{-x} $$ and the line $$ \displaystyle \left| x \right| =1$$ is

The area common to the curves $$\displaystyle y^{2}=x$$ and $$x^{2}=y$$is 

Area of the region bounded by the curves $$y=x-1$$ and $$y=3-|x|$$ is