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Let P(x) be a polynomial of least degree...

Let `P(x)` be a polynomial of least degree whose graph has three points of inflection `(-1,-1),(1.1) `and a point with abscissa 0 at which the curve is inclined to the axis of abscissa at an angle of `60^@.` Then find the value of`int_0^1 p(x)dx.`

A

`frac(3sqrt3+4)(14)`

B

`frac(3sqrt3)(7)

C

`frac(sqrt3+sqrt7)(14)`

D

`frac(sqrt3+2)(7)`

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