$\begin {array} {1 1} (A)\;\large\frac{2}{3}\: sq\: units & \quad (B)\;\large\frac{5}{3}\: sq\: units \\ (C)\;\large\frac{3}{4}\: sq\: units & \quad (D)\;\large\frac{4}{3}\: sq\: units \end {array}$

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Draw a rough sketch of the curve $y^2+1=x,x\leq 2$.Find the area enclosed by the curve and the line $x=2$.

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