Application of ...

The area of the region bounded by the x-axis and the curves
$$y = \tan x\left( { - \frac{\pi }{3} \le x \le \frac{\pi }{3}} \right),and\,y = \cot x\left( {\frac{\pi }{6} \le x \le \frac{{3\pi }}{2}} \right)$$ is

The area of the region bounded by the curves $$y=ex\log x$$ and $$y=\dfrac{\log x}{ex}$$ is

Area bounded  by the curve $${x^2} = 4y$$ and the straight line $$x=4y-2$$ is 

If the area enclosed between $$y=m{x}^{2}$$ and $$x=n{y}^{2}$$ is $$\cfrac{1}{3}$$ sq. units, then $$m,n$$ can be roots of (where $$m,n$$ are non zero real numbers)

In the given figure, a square $$OABC$$ has been inscribed in the quadrant $$OPBQ$$. If $$OA=20cm$$ then the area of the shaded region is $$\left[take\pi=3.14\right]$$

The area bounded by $$y=x^2,x=y^2$$ is

The area of the plane region bounded by the curve $$x + 2 y ^ { 2 } = 0$$ and $$x + 3 y ^ { 2 } = 1$$ is equal to:

The maximum area of the triangle whose sides $$a, b \, and \, c$$ satisfy $$0 \le a \le 1, \, 1 \le b \le 2$$ and $$2 \le c \le 3$$

If the area anclosed by $$f\left( x \right) = \sin x + \cos x,y = a$$ between two consecutive points of extremum is minimum, then the value of a is

The area enclosed between the curve $${y^2} = 4x$$ and line $$y = x$$is