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Let the curve y=y(x) be the solution of ...

Let the curve y=y(x) be the solution of the differential equation, `(dy)/(dx) = 2 (x+1) .` If the numerical value of area bounded by the curve y=y(x) and x-axis is `(4 sqrt8)/(3),` then the value of y(1) is equal to `"_________"`

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