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Determine the Integral by Making an Appropriate Substitution ∫\int ln⁡5xx\frac { \ln 5 x } { x }

Question 120

Multiple Choice

Determine the integral by making an appropriate substitution.
- ∫\int ln⁡5xx\frac { \ln 5 x } { x } dx   Use the substitution u = ln 5x.


A) 52\frac { 5 } { 2 } (ln⁡5x) 2( \ln 5 x ) ^ { 2 } + C
B) 12\frac { 1 } { 2 } (ln 5x 22 + C
C) 1−ln⁡5xx2\frac { 1 - \ln 5 x } { x ^ { 2 } } + C
D) 12\frac { 1 } { 2 } (ln x) (ln⁡5x) 2( \ln 5 x ) ^ { 2 } + C
E) none of these

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