Questions in definite-integral

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Area under the curve $y=\sin 2x+\cos 2x$ between $x=0$ and $x=\frac{\pi }{4},$ is
Area under the curve $y=\sqrt{3x+4}$ between $x=0$ and $x=4,$ is
If area bounded by the curves ${{y}^{2}}=4ax$ and $y=mx$ is ${{a}^{2}}/3,$, then the value of $m$ is
Area bounded by parabola ${{y}^{2}}=x$ and straight line $2y=x$ is
Area bounded by lines $y=2+x,$ $y=2-x$ and $x=2$ is
The ratio of the areas bounded by the curves $y=\cos x$ and $y=\cos 2x$ between $x=0,$ $x=\pi /3$ and $x-$axis, is
The area bounded by the curve $y={{x}^{3}},$ $x-$axis and two ordinates $x=1$ to $x=2$ equal to
The area bounded by the $x-$axis and the curve $y=\sin x$ and $x=0,$ $x=\pi $ is
The area bounded by the parabola ${{y}^{2}}=4ax,$ its axis and two ordinates $x=4,$ $x=9$ is
For $0\le x\le \pi ,$ the area bounded by $y=x$ and $y=x+\sin x,$ is

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