Application of ...

The area enclosed by the curve $$y=\sqrt{(4-x^2)}, y\geq \sqrt{2}\sin\left(\dfrac{x\pi}{2\sqrt{2}}\right)$$ and x-axis is divided by y-axis in the ratio.

The area of the region enclosed between by the $${x^2} + {y^2} = 16$$  and the parabola  $${y^2} = 6x$$.

In the square ABCD, the "shaded" region is the intersection of two circular regions centered at B and D respectively. If AB= 10, then what is the area of the shaded region?

Area bounded by $$|x-1| \le 2$$ and $$x^{2}-y^{2}=1$$, is

Find area curved by three circles 

If $$k=2$$ then $$f\left(x\right)$$ attains point of inflection at

The triangle formed by the tangent to the parabola $$y^2=4x$$ at the point whose abscissa lies in the interval $$\left[a^2, 4a^2\right]$$, the ordinate and the x-axis, has the greatest area equal to?

Consider the two curves 

Area bounded by the curves $$y=\log _{ e }{ x } \quad$$ and  $$y={ \left( \log _{ e }{ x }  \right)  }^{ 2 }$$ is ?

The area enclosed between the curve $$y=x^3$$ and $$y=\sqrt{x}$$ is