QUESTION 6 Suppose that a > o and that f is integrable on [ – a,a]- 1. If f is even on [- a,a], show that f=2 2. If f is odd on [-a,a], show that f = 0•

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 10E
Question

course : real analysis

QUESTION 6
Suppose that
a >0 and that f is integrable on [ - a,a]:
1. If f is even on[-a,a], show that
:2
2. If f is odd on[-a,a], show that
f = 0
Transcribed Image Text:QUESTION 6 Suppose that a >0 and that f is integrable on [ - a,a]: 1. If f is even on[-a,a], show that :2 2. If f is odd on[-a,a], show that f = 0
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