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Prove that it is always true that for any positive real numbers a and b, S x (1-x) dx = [x(1 x) dx .

Prove that it is always true that for any positive real numbers a and b, S x (1-x) dx = [x(1 x) dx . HINT: make a substitution to transform one integral into the other. Do not try to compute the integrals.

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