Don't use chat gpt plz Chatgpt means downvote 15. Suppose that f : R→ R is periodic and integrable on every closed interval. If p is the periodof f, prove that for any a Є R,Sofdx Sf dx =f dx.

∫0pf(x)dx=∫aa+pf(x)dx The function f is periodic, meaning f(x+p)=f(x) for all x∈R, where p is the…

Answered: 15. Suppose that f : R→ R is periodic…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

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15. Suppose that f : R→ R is periodic and integrable on every closed interval. If p is the period of f, prove that for any a Є R, Sofdx S f dx = f dx.