Application of ...

Area bounded by $$y = x^2 $$ and $$ y = \dfrac{2}{1 + x^2}$$ is:

The area between the curves $$y= \tan x, y=2 \sin x $$ and $$x$$-axis in $$-\dfrac{\pi}{3} \leq x \leq \dfrac{\pi}{3}$$ is

The area of the region bounded by the curve $${a}^{4}{y}^{2}=\left(2a-x\right){x}^{5}$$ is to that of the circle whose radius is $$a$$, is given by the ratio

The area of the region described by $$A=((x,y): {x}^{2}+{y}^{2}\le1)$$ and $$B=((x,y):{y}^{2}\le1-x)$$

Area bounded by the curves $$y=\left[\dfrac{{x}^{2}}{64}+2\right], y=x-1$$ and $$x=0$$ above $$x-$$axis is ($$\left[.\right]$$ denotes the greatest integer function.)

Area of the region bounded by the curves $$y\left|y\right|\pm x\left|x\right|=1$$ and $$y=\left|x\right|$$ is: 

Find the area included between the parabolas $$y^{2} = x$$ and $$x = 3 - 2y^{2}$$.

The area of the region bounded by $$1-{y}^{2}=\left|x\right|$$ and $$\left|x\right|+\left|y\right|=1$$ is

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

The area between the curve $$y=2{x}^{4}-{x}^{2},$$ the $$x-$$axis and the ordinates of two minima of the curve is: