Determine the integral by making an appropriate substitution.
-$\int$ $\frac { \ln 5 x } { x }$ dx Use the substitution u = ln 5x.
A) $\frac { 5 } { 2 }$ $( \ln 5 x ) ^ { 2 }$ + C
B) $\frac { 1 } { 2 }$ (ln 5x $2$ + C
C) $\frac { 1 - \ln 5 x } { x ^ { 2 } }$ + C
D) $\frac { 1 } { 2 }$ (ln x) $( \ln 5 x ) ^ { 2 }$ + C
E) none of these

Question

Determine the integral by making an appropriate substitution. 
-$\int$ $\frac { \ln 5 x } { x }$ dx   Use the substitution u = ln 5x.
A) $\frac { 5 } { 2 }$ $( \ln 5 x ) ^ { 2 }$ + C
B) $\frac { 1 } { 2 }$ (ln 5x $2$ + C
C) $\frac { 1 - \ln 5 x } { x ^ { 2 } }$ + C
D) $\frac { 1 } { 2 }$ (ln x) $( \ln 5 x ) ^ { 2 }$ + C
E) none of these

Quizplus · Accepted Answer

The Answer is B

Determine the Integral by Making an Appropriate Substitution ∫\int∫ ln⁡5xx\frac { \ln 5 x } { x }xln5x​

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