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The antiderivative of f(x), denoted by FX), exhibits an odd symmetry i.e., it satisfies the property F-x) = -F(X). If =K, 0

The antiderivative of f(x), denoted by FX), exhibits an odd symmetry i.e., it satisfies the property F-x) = -F(X). If =K, 0

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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The antiderivative of f(x), denoted by FX), exhibits an odd symmetry i.e., it satisfies the property F-x) = -F(X). If :=K, 0<a<b. determine which of the following is true. [Assume both f(x) and F(x) are defined for all real values of x.] A) S"1+*:f(x), a dx =K(-a+b)+ In- b. -b -a 1+x•f(x) a B) -dx = K+ In- -b 1+x+f(x) dr= - K(-a+b) +In © S* a -dr= - K(-a+b)+ In- b. -b 1+x•f(x) a -dx = - K+ In- b х -b
Transcribed Image Text:The antiderivative of f(x), denoted by FX), exhibits an odd symmetry i.e., it satisfies the property F-x) = -F(X). If :=K, 0<a<b. determine which of the following is true. [Assume both f(x) and F(x) are defined for all real values of x.] A) S"1+*:f(x), a dx =K(-a+b)+ In- b. -b -a 1+x•f(x) a B) -dx = K+ In- -b 1+x+f(x) dr= - K(-a+b) +In © S* a -dr= - K(-a+b)+ In- b. -b 1+x•f(x) a -dx = - K+ In- b х -b
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