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If f(x) is positive for all positive val...

If f(x) is positive for all positive values of X and `f'(x)lt0,f"(x)gt0,AA x in R^(+)`, prove that `1/2f(1)+int_(1)^(n)f(x)dx lt sum_(r=1)^(n)f(r) lt int_(1)^(n) f(x)dx+f(1)`.

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