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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)- ) dr=K, 0

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

Calculus For The Life Sciences
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.
Chapter5: Graphs And The Derivative
Section5.2: Relative Extrema
Problem 38E
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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 9. I f(x) dr=K, 0<a<b• determine which of the following is true. [Assume both f(x) and F(x) are defined for all real values of x.] 1+x.f(x) -a a - dx =K(-a+b)+In- b -b 1+x f(x) dx=K+In- -a a dx=K+ In- b -b 1+x•f(x) -a a -dx = - K (-a+b)+ In- b -b S-a 1+x:f(x) dv= - K+ In- a dr = - K+ In b -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 9. I f(x) dr=K, 0<a<b• determine which of the following is true. [Assume both f(x) and F(x) are defined for all real values of x.] 1+x.f(x) -a a - dx =K(-a+b)+In- b -b 1+x f(x) dx=K+In- -a a dx=K+ In- b -b 1+x•f(x) -a a -dx = - K (-a+b)+ In- b -b S-a 1+x:f(x) dv= - K+ In- a dr = - K+ In b -b
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