Consider the function defined implicity by the equation $y^{2} - 2 y e^{s i n^{- 1} x} + x^{2} - 1 + [x] + e^{2 s i n^{- 1} x} = 0 (where [x] denotes the greatest integer function) .$
Line x=0 divides the region mentioned above in two parts. The ratio of area of left-hand side of line to that of right-hand side of line is

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Consider the function defined implicity by the equation

y^{2} - 2 y e^{s i n^{- 1} x} + x^{2} - 1 + [x] + e^{2 s i n^{- 1} x} = 0 (where [x] denotes the greatest integer function) .

Line x=0 divides the region mentioned above in two parts. The ratio of area of left-hand side of line to that of right-hand side of line is

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Consider the function defined implicity by the equation

y^{2} - 2 y e^{s i n^{- 1} x} + x^{2} - 1 + [x] + e^{2 s i n^{- 1} x} = 0 (where [x] denotes the greatest integer function) .

Line x=0 divides the region mentioned above in two parts. The ratio of area of left-hand side of line to that of right-hand side of line is

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