Questions in definite-integral

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	The area bounded by curves $y=\cos x$ and $y=\sin x$ and ordinates $x=0$ and $x=\frac{\pi }{4}$ is
	The area in the first quadrant between ${{x}^{2}}+{{y}^{2}}={{\pi }^{2}}$ and $y=\sin x$ is
	The area bounded by the curves ${{y}^{2}}-x=0$ and $y-{{x}^{2}}=0$ is
	The area of region $\{\,(x,\,y):{{x}^{2}}+{{y}^{2}}\le 1\le x+y\}$ is
	The area of figure bounded by $y={{e}^{x}},\,y={{e}^{-x}}$ and the straight line $x=1$ is
	The volume of the solid formed by rotating the area enclosed between the curve $y={{x}^{2}}$ and the line $y=1$ about $y=1$ is (in cubic units)
	The volume of the solid generated by revolving about the y-axis the figure bounded by the parabola $y={{x}^{2}}$ and $x={{y}^{2}}$ is
	A frustum of sphere is made by cutting two parallel planes of any sphere. If radius of sphere is 5 cm and distance between the plane is 1 cm, then what will be the curved surface of frustum when the distance of first plane from the centre of sphere is 2 cm
	The area enclosed by the parabola ${{y}^{2}}=4ax$ and the straight line $y=2ax,$ is
	The part of circle ${{x}^{2}}+{{y}^{2}}=9$ in between $y=0$ and $y=2$ is revolved about y-axis. The volume of generating solid will be