Application of ...

Area bounded by $$\displaystyle y=2\sqrt { x } $$ and $$ x=3\sqrt { y } $$ is equal to (in sq. units) 

The area between the parabola $$y =x^2$$ and the line $$y = x$$ is

Area lying in the first quadrant and bounded by the circle $$x^2 + y^2 = 4$$ and the lines $$x = 0$$ and $$x = 2$$ is

The area bounded by $${y}^{2}=4x$$ and $${x}^{2}=4y$$ is

The area of the region bounded by the y-axis, $$y = \cos x$$ and $$y = \sin x, 0\leq x \leq \dfrac {\pi}{2}$$ is

Area bounded between the curve $$x^2=y$$ and the line $$y=4x$$ is

The area enclosed between the curve $$\displaystyle y=1+{ x }^{ 2 }$$, the y-axis and the straight line $$\displaystyle y=5$$ is given by

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

The area bounded by the curve $$y=x|x|$$, $$x$$-axis and the ordinates $$x=-1$$ and $$x=1$$ is given by

Area bounded by the curves $$y=x^3$$, the $$x$$-axis and the ordinates $$x=-2$$ and $$x=1$$ is