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Indicate a function for which 1 1 [ f (x) dx = 2 [ƒ (x) dx −1 0 f(x) = x cos(x) ○ƒ(x) = e¯x 3 ○ƒ(x) = x³ of(x) = cos(x)

Indicate a function for which 1 1 [ f (x) dx = 2 [ƒ (x) dx −1 0 f(x) = x cos(x) ○ƒ(x) = e¯x 3 ○ƒ(x) = x³ of(x) = cos(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Indicate a function for which 1 1 [ f (x) dx = 2 [ƒ (x) dx −1 0 f(x) = x cos(x) ○ƒ(x) = e¯x 3 ○ƒ(x) = x³ Of(x) = cos(x)
Transcribed Image Text:Indicate a function for which 1 1 [ f (x) dx = 2 [ƒ (x) dx −1 0 f(x) = x cos(x) ○ƒ(x) = e¯x 3 ○ƒ(x) = x³ Of(x) = cos(x)
Use your knowledge of even and odd functions to determine the answer that best a -x² = 1². a corresponds to the value of the definite integral I is a position constant. The value of the integral I will be positive The value of the integral I will depend on the value of a The value of the integral I will be negative The value of the integral I will be exactly zero xe dx where a
Transcribed Image Text:Use your knowledge of even and odd functions to determine the answer that best a -x² = 1². a corresponds to the value of the definite integral I is a position constant. The value of the integral I will be positive The value of the integral I will depend on the value of a The value of the integral I will be negative The value of the integral I will be exactly zero xe dx where a
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