Application of ...

The area of the region bounded by the curve $$y = x^{2}$$ and $$y = 4x - x^{2}$$ is

The area of the figure bounded by the parabolas $$x = -2y^{2}$$ and $$x = 1 - 3y^{2}$$ is

The area formed by triangular shaped region bounded by the curves $$y=\sin { x } ,y=\cos { x } $$ and $$x=0$$ is

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

The area of the region of the plane bounded by $$max(|x|, |y|) \leq 1$$ and $$xy\leq \dfrac {1}{2}$$ is

The area bounded between the parabolas $$x^2 = \dfrac{y}{4} $$ and $$x^2 = 9y$$, and the straight line $$y = 2$$ is:

The parabola $${ y }^{ 2 }=4x$$ and $${ x }^{ 2 }=4y$$ divide the square region bounded by the lines $$x=4, y=4$$ and the coordinate axes. If $${ S }_{ 1 }, { S }_{ 2 }$$ and $${ S }_{ 3 }$$ are respectively the areas of these parts numbered from top-to-bottom, then $${ S }_{ 1 } : { S }_{ 2 } : { S }_{ 3 }$$ is

The area enclosed between the parabolas $$y^{2} = 16x$$ and $$x^{2} = 16y$$ is

The area of the region described by $$ \begin{Bmatrix} (x,,y)/x^2 +y^2 \leq 1 and\   y^2\leq1-x\end{Bmatrix}$$ is

Area of the region bounded by the curves $$y={ 2 }^{ x },y=2x-{ x }^{ 2 },x=0$$ and $$x=2$$ is given by