The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisf ies the property F(-x) =-F(x). If f(x)dx = K, determine %3D 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% 2K + In %3D -9- 1+xf (x) dr = K + In -b "1+xf (x) dr =-2K + In -- 1+xf (x) dx% = - K+ In 9-

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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The antiderivative of f (x), which is F(x), exhibits an odd symmetry, i.e.,
9.
satisfies the property F(-x)=- F(x). If f(x)dr = K, determine
it
%3D
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
A
2K + In
%3D
“ 1+xf (x)
-dx K + 1
"1+xf (x)
-dx = -2K + In
-b
"1+xf (x)
dr =
-K+In
Transcribed Image Text:The antiderivative of f (x), which is F(x), exhibits an odd symmetry, i.e., 9. satisfies the property F(-x)=- F(x). If f(x)dr = K, determine it %3D 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 A 2K + In %3D “ 1+xf (x) -dx K + 1 "1+xf (x) -dx = -2K + In -b "1+xf (x) dr = -K+In
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