Questions in definite-integral

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The area between the curve ${{y}^{2}}=4ax,$ x-axis and the ordinates $x=0$ and $x=a$ is
The area of the curve $x{{y}^{2}}={{a}^{2}}(a-x)$ bounded by y-axis is
The area enclosed by the parabolas $y={{x}^{2}}-1$ and $y=1-{{x}^{2}}$ is
The area of the smaller segment cut off from the circle ${{x}^{2}}+{{y}^{2}}=9$ by $x=1$ is
The area of the region bounded by the curves $y=|x-2|,$ $x=1,\,\,x=3$and the x-axis is
The area enclosed between the parabolas ${{y}^{2}}=4x$ and ${{x}^{2}}=4y$ is
The area bounded by the curves ${{y}^{2}}=8x$ and $y=x$ is
The area bounded by the curves $y={{\log }_{e}}x$ and $y={{({{\log }_{e}}x)}^{2}}$ is
The area between the parabola ${{y}^{2}}=4ax$and ${{x}^{2}}=8ay$ is
The area of the region bounded by the curves $y={{x}^{2}}$ and $y=\,|x|$ is

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