Application of ...

The area enclosed by the curves $$y=sinx+$$cosx and $$y=|cosx-$$sinx $$|$$over the interval $$[0, \frac{\pi}{2}]$$is

Area enclosed between the curves $$y=8-{x}^{2}$$ and $$y={x}^{2}$$, is:

If area bounded by the curves $$x=at^2$$ and $$y=ax^2$$ is $$1$$, then a$$=$$ __________.

Calculate the area of the shaded region in the figure, where $$\square ABCD$$ is a square with side 8 cm each. $$(\pi =3.14)$$

The area included between the parabolas
$$y=\dfrac { { x }^{ 2 } }{ 4a }$$ and $$y=\dfrac { 8{ a }^{ 3 } }{ { x }^{ 2 }+4{ a }^{ 2 } }$$ is

Find the area of the region bounded by the curve $$y^2=4x$$ and the line $$x=3$$.

The area enclosed between the $${y}^{2}=x$$ and $$y=|x|$$ is

The value of $$a$$ for which the area between the curves $${y^2} = 4ax$$ and $${x^2} = 4ay$$ is $$1\,sq.\,unit$$, is-

The area bounded by curves $$3x^2 + 5y = 32 $$ and $$y = \left|x-2\right|$$ is 

The area bounded by the $$x-$$axis, the curve $$y=f\left(x\right)$$ and the lines $$x=1$$ and $$x=b$$ is equal to $$\left(\sqrt{{b}^{2}+1}-\sqrt{2}\right)$$ for all $$b>1$$, then $$f\left(x\right)$$ is