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f(x + a) dx = f(1) dæ = | f(x) d.r. -T+a

f(x + a) dx = f(1) dæ = | f(x) d.r. -T+a

Advanced Engineering Mathematics
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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1. Suppose f is 2n-periodic and integrable on any finite interval. Prove that if a, b e R, then eb+2 eb-2 | f(2) dz = | f(z) da = | f(x) dr. a+27 a-2n Also prove that +a f(r + a) dx = | f(x)dx = $(2) dr. -T+a
Transcribed Image Text:1. Suppose f is 2n-periodic and integrable on any finite interval. Prove that if a, b e R, then eb+2 eb-2 | f(2) dz = | f(z) da = | f(x) dr. a+27 a-2n Also prove that +a f(r + a) dx = | f(x)dx = $(2) dr. -T+a
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