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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(lnx) 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 = lnxx\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(lnx) x\frac { \cos ( \ln x ) } { x }
E) none of these

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