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JEE Advance - Mathematics (1992 - No. 21)

Sketch the region bounded by the curves $$y = {x^2}$$ and
$$y = {2 \over {1 + {x^2}}}.$$ Find the area.
$$\pi + {2 \over 3}$$
$$\pi - {2 \over 3}$$
$$2\pi + {2 \over 3}$$
$$2\pi - {2 \over 3}$$
$$\pi - {4 \over 3}$$

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