Questions in definite-integral

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Area bounded by the parabola ${{y}^{2}}=2x$ and the ordinates $x=1,x=4$ is
The area bounded by the straight lines $x=0,x=2$and the curves $y={{2}^{x}},y=2x-{{x}^{2}}$is
The area of smaller part between the circle ${{x}^{2}}+{{y}^{2}}=4$and the line $x=1$ is
The area between the curve $y={{\sin }^{2}}x,$ $x-$axis and the ordinates $x=0$ and $x=\frac{\pi }{2}$ is
The area bounded by the circle ${{x}^{2}}+{{y}^{2}}=4,$ line $x=\sqrt{3}y$ and $x-$axis lying in the first quadrant, is
The area of the triangle formed by the tangent to the hyperbola $xy={{a}^{2}}$ and co-ordinate axes is
The area formed by triangular shaped region bounded by the curves $y=\sin x,\,y=\cos x$ and $x=0$ is
The part of straight line $y=x+1$ between $x=2$ and $x=3$ is revolved about x-axis, then the curved surface of the solid thus generated is
The area bounded by the curve $y=4x-{{x}^{2}}$ and the $x-$axis, is
Area of the region bounded by the curve $y=\tan x,$ tangent drawn to the curve at $x=\frac{\pi }{4}$ and the x-axis is

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