Application of ...

The angle between the curves $$y=sin x$$ and $$ y=cos x$$ is : 

The area bounded by parabola $$y^{2}=x$$, straight line $$y=4$$ and  $$y-axis$$ is-

The area bounded by $$\dfrac { | x | } { a } + \dfrac { | y | } { b } = 1$$ where $$a > 0$$ and $$b > 0$$ is

Area bounded by $$y=x^2$$and line $$y=x$$

The area bounded by the curve $$y=(x+1)^2,y=(x-1)^2$$ and the line $$y=0$$ is

The area (in $$sq\ unit$$) of the region $$\left\{(x,y):y^{2}\ge 2x\ and\ x^{2}+y^{2} \le 4x,x \ge 0,y\ \ge 0\right\}$$ is:-

Area common to the cutve $$y=\sqrt {9-x^{2}}$$ and $$x^{2}-y^{2}=6x$$ is:

The area enclosed by the curves $$y=x^{2},y=x^{3},x=0$$ and $$x=p$$, where $$p > 1$$, is $$\dfrac{1}{6}$$. then $$p$$ equals 

If the point $$(\lambda, \lambda +1)$$ lies inside the region bounded by the curve $$x=\sqrt{25-y^2}$$ and y-axis, then $$\lambda$$ belongs to the interval.

Area of the region bounded by the curve $$y=e^x$$ and lines $$x=0$$ and $$y=e$$ is?