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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 2E
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The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If
I s(x) dr=K, 0<a<b, determine which
the following is true. [Assume both f(x) and F(x) are defined for all real values of x.]
a
-dx =K+ In-
b
-b
dx =- K+ In-
a
-dr=K(-a+b)+ In-
-b
a
"1+*/5) dr= -K(-a+b)+ In
-b
Transcribed Image Text:The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the property F(-x) = -F(x). If I s(x) dr=K, 0<a<b, determine which the following is true. [Assume both f(x) and F(x) are defined for all real values of x.] a -dx =K+ In- b -b dx =- K+ In- a -dr=K(-a+b)+ In- -b a "1+*/5) dr= -K(-a+b)+ In -b
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