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)dr = K, determine which of the following is true. Assume both f (x) and F (x) are defined for all real values of x. -a 1+xf (x) A dx = - K + In -b 1+xf (x) a B dx = K + In – b -b 1+xf (x) -a dx = 2K + In b -b -a 1+xf (x) dx = - 2K + In -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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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) dr = 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
dx = - K + In
-b
1+xf (x)
dx = K + In
b
-h
-a
1+xf (x)
dr = 2K + In
-h
-ª 1+xf (x)
dx = - 2K + In
a
--
Transcribed Image Text: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) dr = 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 dx = - K + In -b 1+xf (x) dx = K + In b -h -a 1+xf (x) dr = 2K + In -h -ª 1+xf (x) dx = - 2K + In a --
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