Application of ...

The area of the region bounded by the curve $$y = 2x - {x^2}$$ and the line $$y = x$$ is 

Area bounded by the curve $$y = \sin ^ { - 1 } x , y - a x i s$$ and $$y = \cos ^ { - 1 } x$$ is equal to

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

Find the area enclosed between $$y=1+\left| x+1 \right| ,y=4$$.

Area bounded by the curves $$y=x\sin x\ and x-axis$$ between $$x=0\ and x=2\pi$$ is 

The area of the figure bounded by the parabola $$(y-2)^2=x-1$$, the tangent to it at the point with the ordinate $$x=3$$, and the x-axis is

The area bounded by the curve $$y=\cos x$$ and $$y=\sin x$$ between the ordinates $$x=0$$ and $$x=\dfrac {3\pi}{2}$$ is

Let $$y=g(x)$$ be the inverse of a bijective mapping $$f:R\rightarrow R\quad f(x)=3{ x }^{ 3 }+2x$$. The area bounded by graph of $$g(x)$$, the axis and the ordinate at $$x=5$$ is

The area bounded by the curves $$|x|+|y|\ge1$$ and $$x^2+y^2\le1$$ is 

The area of the figure bounded by the parabola $$x = - 2 y ^ { 2 } \text { and } x = 1 - 3 y ^ { 2 } $$ is ?