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Black Book Advanced Problems in MathematicsMathematicsArea Under Curves

Let f(x) be a function which satisfy the equation f(xy) = f(x) + f(y) for all x > 0, y > 0 such that f'(1) = 2 . Let A be the area of the region bounded by the curves y = f(x) , y = |x^3 - 6x^2 + 11x - 6| and x = 0 , then find value of 28 17 A .

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7

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