Theorem 3.1. Let ƒ € C¹[a, b] and 0 < y < x be two real numbers. We have P Σκη-Γι f(t)dt + Γ (t − [t])f'(t)dt y

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Theorem 3.1. Let ƒ € C¹[a, b] and 0 < y < x be two real numbers. We have
=
= [² [² (1
f(t)dt +
Y
Σ f(n)
y<n<x
S (t - [t]) f'(t)dt
− (x − [x])ƒ(x) + (y − [y])ƒ (y).
Transcribed Image Text:Theorem 3.1. Let ƒ € C¹[a, b] and 0 < y < x be two real numbers. We have = = [² [² (1 f(t)dt + Y Σ f(n) y<n<x S (t - [t]) f'(t)dt − (x − [x])ƒ(x) + (y − [y])ƒ (y).
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