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Black Book Advanced Problems in MathematicsMathematicsIndefinite and Definite Integration

If f(x), g(x), h(x) and (x) are polynomial in x , ( ₁^x f(x) h(x) dx ) ( ₁^x g(x) (x) dx ) - ( ₁^x f(x) (x) dx ) ( ₁^x g(x) h(x) dx ) is divisible by (x - 1)^ . Find maximum value of .

Correct answer

4

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