The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property F-x) = -Fx). If )dx=K, 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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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
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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