Which of the Following Is a Correct Substitution for the Integral

question 159

Multiple Choice

Which of the following is a correct substitution for the integral $\int _ { 1 } ^ { e } \frac { \cos ( \ln x ) } { x } d x$ ?

• A) u = ln x; \(\int _ { 0 } ^ { 1 } \sin u d u\)
• B) u = \(\frac { \ln x } { x }\) ; \(\int _ { 1 } ^ { \mathrm { e } } \cos \mathrm { u } d u\)
• C) u = ln x; \(\int _ { 1 } ^ { \mathrm { e } } \cos \mathrm { u } d u\)
• D) u= ln x; \(\int _ { 0 } ^ { 1 }\) \[\cos u\]
• U du
• E) u = ln x; \(\int _ { 0 } ^ { 1 } \cos u \mathrm { du }\)

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