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Decide Whether Integration by Parts or Substitution Should Be Used ∫\int

Question 53

Multiple Choice

Decide whether integration by parts or substitution should be used to compute the indefinite integral ∫\int cos⁡(ln⁡x) x\frac { \cos ( \ln x ) } { x } dx If substitution, indicate the value of u; if by parts, indicate f(x) and g(x) .


A) substitution; u = ln x
B) substitution; u = ln⁡xx\frac { \ln x } { x }
C) integration by parts; f(x) = cos(ln x) , g(x) = 1x\frac { 1 } { x }
D) integration by parts; f(x) = 1, g(x) = cos⁡(ln⁡x) x\frac { \cos ( \ln x ) } { x }
E) none of these

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