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Show that for a differentiable functin f (x), int _(0) ^(n) f '(x) {[x] -x + (1)/(2) } dx = int _(0) ^(n) f (x) dx + 1/2 f (0 ) + 1/2 f (n) - sum _(r =0) ^(n) f (e), where [**] denotes the greatest integer function and n in N) |
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