Application of ...

The area of the region bounded by the curves $$y=xe^{x}, y=xe^{-x}$$ and the line $$\left| x \right| =1,y=0$$ is:

The area of the region bounded by $$y=|x-1|$$ and $$\mathrm{y}=1$$ in sq. units is:

Area bounded by the curve $$\mathrm{y}=\mathrm{x}+\mathrm{s}\mathrm{i}\mathrm{n}\mathrm{x}$$ and its inverse function between the ordinates $$\mathrm{x}=0$$ and $$\mathrm{x}=2\pi$$ is

Area of the region bounded by $$y=x-[x],\ y=[x]$$ and $$\mathrm{x}$$-axis in $$[$$0,2 $$]$$ is:

The area bounded by the parabolas $${y}=4{x}^{2},\ y=\displaystyle \dfrac{x^{2}}{9}$$ and the line $${y}=2$$ is

The area between the parabolas $$y^{2}=4a(x+a)$$ and $$y^{2}=-4a(x-a)$$ in sq. units is

The area of the portion of the circle $${ x }^{ 2 }+{ y }^{ 2 }=1$$, which lies inside the parabola $${ y }^{ 2 }=1-x$$, is

The area bounded by the parabolas $${ y }^{ 2 }=4a\left( x+a \right) $$ and $${ y }^{ 2 }=-4a\left( x-a \right) $$ is:

The area bounded by the curve $$x^2=4y$$ and straight line $$x=4y-2$$ is

The area bounded by the curve $$f(x) = ce^x(c > 0)$$, the x-axis and the two ordinates x = p and x = q is proportional to