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 $\int$ $\frac { \cos ( \ln x ) } { x }$ 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 = \(\frac { \ln x } { x }\)
• C) integration by parts; f(x) = cos(ln x), g(x) = \(\frac { 1 } { x }\)
• D) integration by parts; f(x) = 1, g(x) = \(\frac { \cos ( \ln x ) } { x }\)
• E) none of these

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