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

question 120

Multiple Choice

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

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Proportional Slice

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Nominal Data

Data that are categorized into distinct groups and names, without any order or ranking.

Frequency Distribution

A table or graph that displays the frequency of various outcomes in a sample.

Frequency Chart

A graphical representation used to show the frequency of each category or value of data.