The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property F-x) = -Fx). If )dx=K, 0
The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property F-x) = -Fx). If )dx=K, 0
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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Question
7.
![The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property F-x) = -Fx). If
)dx=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.]
1+x•f(x)
a
A
dx=K+ In=
b
-b
B
1+x•f (x)
dx = - K+ In-
b
-b
1+x•f(x)
a
-dx =K(-a+b) +In-
b
-b
(D
"I+x-f(x) dx= - K(-a+b)+In
a
-dx= – K(-a+b)+ In-
-b](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0f13e1c-36e2-49e1-92fc-aa11036ea2ce%2F4cde3051-50ff-4468-ada6-a709cd5fcbaa%2Fm6k9ocp_processed.png&w=3840&q=75)
Transcribed Image Text:The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property F-x) = -Fx). If
)dx=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.]
1+x•f(x)
a
A
dx=K+ In=
b
-b
B
1+x•f (x)
dx = - K+ In-
b
-b
1+x•f(x)
a
-dx =K(-a+b) +In-
b
-b
(D
"I+x-f(x) dx= - K(-a+b)+In
a
-dx= – K(-a+b)+ In-
-b
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