Application of ...

The area of a loop bounded by the curve $$y=a \sin x$$ and x- axis is 

The area bounded by the curves $$\left|x\right|+\left|y\right|\ge 1$$ and $${x}^{2}+{y}^{2}\le 1$$ is:

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

The number of solutions of $$\left|y\right|=\left|f\left(\left|x\right|\right)\right|$$ and $${x}^{2}+{y}^{2}=2$$ is,

The area bounded by $$f\left(x\right),$$ the $$x-$$axis and $$y-$$axis is,

The area of the figure bounded by two branches of the curve $${\left(y-x\right)}^{2}={x}^{3}$$ and the straight line $$x=1$$ is:

The area bounded by $$y=2-\left|2-x\right| , y=\dfrac{3}{\left|x\right|}$$ is

If $$f\left(x+y\right)=f\left(x\right)+f\left(y\right)-xy$$ for all $$x,y\in R$$ and $$\lim _{ h\rightarrow 0 }{ \frac { f(h) }{ h }  } =3$$, then the area bounded by the curves $$y=f\left(x\right)$$ and $$y={x}^{2}$$ is:

The area bounded by the curve $$y={(x-1)}^{2},\ ={(x+1)}^{2}$$ and the $$x-axis$$ is

Find the area of the region bounded by the curves $${y}^{2}=4ax$$ and $${x}^{2}=4ay$$.