Application of ...

The area bounded by $$y= x^{2}$$ and $$y= 1-x^{2}$$ is

The area bounded by $$ \displaystyle \begin{vmatrix}y\end{vmatrix}=1-x^{2} $$ is

The area common to the circle $$x^2+y^2=16a^2$$ and the parabola $$y^2=6ax$$ is

The area of the region(s) enclosed by the curves $$\displaystyle y=x^{2}$$ and $$\displaystyle y=\sqrt{\left | x \right |}$$ is:

Let 'a' be a positive constant number. Consider two curves $$\displaystyle C_{1}:y=e^{x},C_{2}:y=e^{a-x}$$. Let S be the area of the part surrounded by $$\displaystyle C_{1}$$,$$\displaystyle C_{2}$$ and the y-axis, then

The area bounded by the curves $$x^2+y^2\le 8$$ and $$y^2\ge 4x$$ lying  in the first quadrant is not equal to

Area enclosed by the curves $$\displaystyle y=\ln x;y=\ln\left | x \right |;y=\left | \ln x \right |$$ and $$\displaystyle y=\left | \ln\left | x \right | \right |$$ is equal to

The area of the figure bounded by the lines $$x= 0,\: x= \dfrac{\pi}{2},\: f\left ( x \right )= \sin x$$ and $$g\left ( x \right )= \cos x$$ is

The area of the figure bounded by the curves $$\displaystyle y=\ln x$$ & $$\displaystyle y=\left ( \ln x \right )^{2}$$ is

The area of the smaller portion between curves $$x^2 + y^2 = 8$$ and $$y^2 = 2x$$ is