Find the Indefinite Integral $\int \frac { 6 ( \ln x ) ^ { 2 } } { x ^ { 2 } } d x$

question 26

Multiple Choice

Find the indefinite integral. $\int \frac { 6 ( \ln x ) ^ { 2 } } { x ^ { 2 } } d x$

• A) \(\frac { 6 \left( ( \ln x ) ^ { 2 } - 2 \ln x + 2 \right) } { x } + C\)
• B) \(- \frac { 6 \left( ( \ln x ) ^ { 2 } + 2 \ln x + 2 \right) } { x } + C\)
• C) \(- 6 \left( ( \ln x ) ^ { 2 } + 2 \ln x + 2 \right) + C\)
• D) \(- \frac { 6 \left( 2 ( \ln x ) ^ { 2 } + 2 \right) } { x } + C\)
• E) \(\frac { 6 \left( 2 ( \ln x ) ^ { 2 } + 2 \right) } { x } + C\)

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Definitions:

Alternative Hypothesis

A statement that contradicts the null hypothesis and proposes there is indeed a significant effect or relationship between variables.

Sample Sizes

The number of observations or subjects included in a study from which conclusions are drawn.

Test Statistic

A calculated value from sample data, used in statistical hypothesis testing to determine whether to reject the null hypothesis.

Random Samples

A subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.