16. Let f(x) be a differentiable function defined on [0, 2] such that f (x) = f (2 - x) for all x e (0, 2), f(0) = 1 and f(2) = e?, Then the value of [f(x)dx is : (1) 1 - e? (3) 2(1 - e?) (2) 1 + e (4) 2(1 + e?)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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16. Let f(x) be a differentiable function defined on
[0, 2] such that f (x) = f (2 - x) for all x e (0, 2),
f(0) = 1 and f(2) = e?, Then the value of [f(x)dx
is :
(1) 1 – e?
(3) 2(1 - e?)
(2) 1 + e
(4) 2(1 + e?)
Transcribed Image Text:16. Let f(x) be a differentiable function defined on [0, 2] such that f (x) = f (2 - x) for all x e (0, 2), f(0) = 1 and f(2) = e?, Then the value of [f(x)dx is : (1) 1 – e? (3) 2(1 - e?) (2) 1 + e (4) 2(1 + e?)
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