Application of ...

Area bounded by the curves $$y=\cos^{-1}(\sin x)$$ and $$y=\sin^{-1}(\sin x)$$ in the interval $$[0, \pi]$$ is 

Area of the region defined by $$||x|+|y||\ge 1$$ and $$x^{2}+y^{2}\le 1$$ is

Area bounded between asymptomes of curves $$f(x)$$ and $$f^{-1}(x)$$ is 

The area of the region bounded by the X-axis and the curves defined by $$y=tanx\left( \dfrac { -\pi  }{ 3 } \le x\le \dfrac { \pi  }{ 3 }  \right) and\quad y=cotx\left( \dfrac { \pi  }{ 6 } \le x\le \dfrac { 3\pi  }{ 2 }  \right) $$

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

The area bounded by the curves is $$\sqrt{\left|x\right|}+\sqrt{\left|y\right|}=\sqrt{a}$$ and $$x^{2}+y^{2}=a^{2}$$ (where $$a>0$$) is 

The area enclosed between the curves $$y=\left|x^{3}\right|$$ and $$x=y^{3}$$ is 

Area bounded by the loop of the curve $$ x( x+ {y ^2})= {x}^{3}- {y}^{2} $$ equals

If the slope of a tangent to the curve $$y=f(x)$$ is $$4x+3$$. The curve passes through the point $$(1, 5)$$ then area bounded by the curve, and the line $$x=1$$ in first quadrant is?

What is the area of a plane figure bounded by the points of the lines max $$(x,y)=1$$ and $$x^{2}+y^{2}=1$$?