Application of ...

The area bounded by curve $$y=x^{2}-1$$ and tangents to it at $$(2,3)$$ and $$y-$$axis is

Area included between  $${ y }=\dfrac { { x }^{ { 2 } } }{ 4{ a } } $$  and  $$y = \dfrac { 8 a ^ { 3 } } { x ^ { 2 } + 4 a ^ { 2 } }$$  is

The area of the figure formed by $$a|x|+b|y|+c=0$$, is

The area of the region bounded by the curves  $$y = \sin x$$  and  $$y = \cos x ,$$  and lying between the lines  $$x = \dfrac { \pi } { 4 }$$  and  $$x = \dfrac { 5 \pi } { 4 } ,$$  is

Find the area of bounded by $$y=\sin x $$ from $$x=\dfrac{\pi}{4} $$ to $$x=\dfrac{\pi}{2}$$

The area of the region by curves $$y=x\log x$$ and $$y=2x-2x^{2}=$$

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

The area bounded by the curve $$y={ e }^{ x }$$ and the lines y = |x - 1|, x = 2 is given by :

Area bounded by the curve $$y^2(2a-x)=x^3$$ and the line $$x=2a$$, is

Area of the region bounded by $$y=\sin^{-1}{\left| \sin{x}\right|}$$ and $$y=-\cos^{-1}{\left| \cos{x}\right|}$$ in the interval $$[0,2\pi]$$ is equal to