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Problem 6. Let f be a continuous function defined on [0, 27]. Assume that f is non-increasing on [0, 2π]. +2 (1) Prove that ** f(x) sin(x)dx ≥ 0. 2* (2) Prove that f(x) sin(2r)dr ≥ 0. [Hint: you may split the integral into several integrals.]

Problem 6. Let f be a continuous function defined on [0, 27]. Assume that f is non-increasing on [0, 2π]. +2 (1) Prove that ** f(x) sin(x)dx ≥ 0. 2* (2) Prove that f(x) sin(2r)dr ≥ 0. [Hint: you may split the integral into several integrals.]

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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Let f be a continuous function defined on [0, 27]. Assume that f is f(x) sin(x)dx ≥ 0. 2* f(x) sin(2x)dr ≥ 0. [Hint: you may split the integral into several Problem 6. non-increasing on [0, 2π]. +2 (1) Prove that (2) Prove that integrals.]
Transcribed Image Text:Let f be a continuous function defined on [0, 27]. Assume that f is f(x) sin(x)dx ≥ 0. 2* f(x) sin(2x)dr ≥ 0. [Hint: you may split the integral into several Problem 6. non-increasing on [0, 2π]. +2 (1) Prove that (2) Prove that integrals.]
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