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Let y = y(x) be the solution of the differential equation x\tan \left( y \over x \right)dy = \left( y\tan \left( y \over x \right) - x \right)dx, - 1 \le x \le 1, y\left( 1 \over 2 \right) = π \over 6. Then the area of the region bounded by the curves x = 0, x = 1 \over √ 2 and y = y(x) in the... | Watch the step-by-step video solution for this NIMCET PYQ.