Application of ...

The area enclosed by the curves $$|y + x|\leq 1, |y - x|\leq 1$$ and $$2x^{2} + 2y^{2} = 1$$ is

Area bounded by $$f(x)=max.\left( \sin { x } ,\cos { x }  \right) $$ $$\quad \forall 0\le x\le \cfrac { \pi  }{ 2 } $$ and the co-ordinate axis is equal to

What is the area of the rectangle , whose length is $$5\sqrt 3\ cm$$ and breadth is $$5\ cm$$.

The area bounded by the circles $${ x }^{ 2 }+{ y }^{ 2 }=1, { x }^{ 2 }+{ y }^{ 2 }=4$$ in the first Quadrant is 

Find the area of a shaded portion.

If the area bounded by the curve $$y=a{ x }^{ 2 }\quad $$ and $$x=a{ y }^{ 2 },\left( a>0 \right) $$ is $$3sq.units$$, then the value of $$a$$ is

Find the area of the closed figure bounded by the following curves
$$y =$$ $$\sqrt{x}, y \, = \,  \sqrt{4 - 3x}$$, y = 0.

The area of a square inscribed in a semicircle is to the area of the square inscribed in the entire circle as:

The area enclosed by the curves
$$f(x) = \vert sin x - cos x \vert + \vert cos x + sin x \vert \  \text {and}  \ g(x) = 2\vert cos x + sin x \vert , 0 \leq x \leq \pi$$

The area of figure bounded by the curve $$y=2x-{x}^{2}$$ and the straight line $$y=-x$$ is