Question 8 The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the property F ( – x) = – F (x). If f(x) dx = K, determine a which of the following is true. Assume both f (x) and F (x) are defined for all real values of x. -“ 1+xf (x) - a A) dx = K + In -b -a '1+xf (x) a B dr = 2K + In -b 1+xf (x) -a b dr = - 2K + In| a -b 1+xf (x) -a a (D dx = - K + In b -b

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 8
The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e.,
it satisfies the property F ( – x) = – F (x). If f(x) dx = K, determine
a
which of the following is true. Assume both f (x) and F (x) are defined for
all real values of x.
-“ 1+xf (x) -
a
A)
dx = K + In
-b
-a
'1+xf (x)
a
B
dr = 2K + In
-b
1+xf (x)
-a
b
dr = - 2K + In|
a
-b
1+xf (x)
-a
a
(D
dx = - K + In
b
-b
Transcribed Image Text:Question 8 The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the property F ( – x) = – F (x). If f(x) dx = K, determine a which of the following is true. Assume both f (x) and F (x) are defined for all real values of x. -“ 1+xf (x) - a A) dx = K + In -b -a '1+xf (x) a B dr = 2K + In -b 1+xf (x) -a b dr = - 2K + In| a -b 1+xf (x) -a a (D dx = - K + In b -b
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