Application of ...

The area of the region bounded by the curves $$y=|x-2|$$ and $$y=4-|x| is- $$  

The area of the region bounded by $$y=(x-4)^2, y=16-x^2$$ and the x axis,is

Find area bounded by curves $$\left \{ (x,y):y\geq x^{2}andy=\mid x\mid  \right \}$$

The area enclosed between the curves $$y^2 = x$$ and $$y=|x|$$ is

The area enclosed between the curve $$y = |x|^{3}$$ and $$x = y^{3}$$ is

Find the area bounded by the curve $$y =  sin\;x$$ with x-axis between  $$x = 0$$ to x = 2$$\pi$$.

From a piece of cardboard, in the shape of a trapezium ABCD, and AB$$||$$CD and $$\angle$$BCD$$=90^o$$, quarter circle is removed. Given AB$$=$$BC$$=3.5$$cm and DE$$=2$$cm. Calculate the area of the remaining piece of the cardboard.(Take $$\pi$$ to be $$\dfrac{22}{7}$$)

The area between the curves y=$$x^{2}$$ and $$y=\frac{2}{1+x^{2}}$$ is-

The area (in sq. units) of the region $$\left\{ {\left( {x,y} \right):{y^2} \ge 2x\,and\,{x^2} + {y^2} \le 4x,x \ge 0} \right\}$$ is

The area of the region $$[(x, y) : x^{2} + y^{2} \leq 1 \leq x + y|$$ is