The antiderivative of ƒ (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. “ 1+xf (x) -dr = - K + In ª 1+xf (x) -dr = 2K + In '1+xf (x) dr = - 2K + In %3D a -b '1+xf (x) a dr = K + In %3D -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 | s(x) dr
К, 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
-b
-a 1+xf (x)
a
dx = 2K + In
b
-b
-ª 1+xf (x)
b.
dr = - 2K + In
a
-b
“ 1+xf (x)
a
dx = K + In
-b
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 | s(x) dr К, 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 -b -a 1+xf (x) a dx = 2K + In b -b -ª 1+xf (x) b. dr = - 2K + In a -b “ 1+xf (x) a dx = K + In -b
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