Application of ...

The area of (in sq. units ) of the region described by $$ A={(x,y): x^2+y^2 \leq 1\ and\ y^2 \leq 1-x }$$

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

The area enclosed between the curves $${y^2} = x$$ and $$y = |x|\;is$$ - 

The area bounded by $$x^2=4ay$$ and $$y=2a$$ is?

Area of the  region containing all points $$(x, y)$$ satisfying $$0\le y\le \sqrt{4-x^{2}}, y \le x^{2}+x+1$$ and $$y=\left[\sin^{2}\dfrac{\pi}{4}+\cos\dfrac{x}{4}\right]$$ is equal to ( where [.] denotes the greatest integer function ). 

If area bounded by to curves $$y^2 = 4ax$$ and y=mx is $$\dfrac{a^2}{3}$$, then the value of m is 

The are boundede by the curve $$y=x^{2},y=-x$$ and $$y^{2}=4x-3$$ is $$k$$, them the value of $$9k$$ is

If $${\int}_{0}^{1}\left(4x^{3}=f(x)\right)f(x)dx=\dfrac{4}{7}$$, then the area of region bounded by $$y=f(x),x-$$ axis and the line $$x=$$ and $$x=2$$ is

The area bounded by curves $$ 3 x^2 + 5 y= 32$$ and $$ y = |x-2| $$ is

The area of the plane region bounded by the curves $$x+{ 2y }^{ 2 }=0$$ and $$x+{ 3y }^{ 2 }=1$$ is equal to