Find the Integral $$\int x ^ { 5 } \ln x d x$$

question 89

Multiple Choice

Find the integral. Select the correct answer.
$$\int x ^ { 5 } \ln x d x$$

• A) \(\frac { 1 } { 6 } x ^ { 6 } ( 6 \ln x - 1 ) + C\)
• B) \(\frac { 1 } { 36 } x ^ { 6 } ( \ln x - 1 ) + C\)
• C) \(\frac { 1 } { 6 } x ^ { 5 } + \frac { 1 } { x } + C\)
• D) \(\frac { 1 } { 36 } x ^ { 6 } ( 6 \ln x - 1 ) + C\)

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Definitions:

Confidence Limits

Confidence limits define the range within which a population parameter is estimated to lie with a certain level of confidence.

Standard Error

A measure of the dispersion or spread of sample means around the population mean.

Confidence Interval

A range of values, derived from a data set, that is likely to contain the value of an unknown population parameter.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter.