Suppose that a > 0 and that f R[-a, a]. (a) If f is even (that
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(a) If f is even (that is, if f (-x) = f(x) for all x ∈ [0, a], show that ∫a-a f = 2 ∫a0 f.
(b) If f is odd (that is, if f (-x) = -f(x) for all x ∈ [0, a], show that ∫a-a f = 0.
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The Additively Theorem implies that the restriction...View the full answer
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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