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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62576fd5-f86f-465f-ab1e-fa17d591f013%2F29faca4a-19f7-4f42-b8a2-63d3bc9284a4%2Fo9oq4cj_processed.jpeg&w=3840&q=75)
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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