Application of ...

$$\int { [g(x)-f(x)]dx=5 } $$, then the area between two curves for 0 < x < 2, is 

The area bounded by the curve $$y=x^2$$ and $$y \, = \, \dfrac{2}{1 \, + \, x^2}$$ is $$\lambda\  sq.\ unit$$, then the value of $$[\lambda ]$$ is 

Area of region bounded by $$x=0$$,$$y=0$$ $$x=2$$,$$y=2$$,$$y\le {e}^{x}$$&$$y\ge lnx$$ is

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

Area common to the curves $${ y }^{ 2 }$$=ax and $${ x }^{ 2 }$$+$${ y }^{ 2 }$$$$= 4ax$$ is equal to

Find the area bounded by the curves $$x = a\cos t, y = b\sin t$$ in the first quadrant 

A point P moves in xy-plane In such a way that [|x|] + [|y|] = 1 were [.] denotes the greatest integer function. Area of the region representing all possible positions of the point 'P' is equal to 

The area common to the circles $$r=a\sqrt{2}$$ and $$r=2a\cos{\theta}$$ is:

The area under the curve $$y= 2\sqrt x$$ bounded by the lines $$x=0$$ and $$x= 1$$ is

The area common to the cardioids $$r=a\left(1+\cos{\theta}\right)$$ and $$r=a\left(1-\cos{\theta}\right)$$ is: