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A polynomial function f(x) satisfies the...

A polynomial function `f(x)` satisfies the condition `f(x+1)=f(x) + 2x + 1`. Find `f(x)` if `f(0)=1` Findalso the equations of the pair of tangents from the origin on the curve `y =f(x)` and compute the areaenclosed by the curve and the pair of tangents.

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