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

question 67

Multiple Choice

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

• 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:

Locus of Control

The degree to which individuals believe that they have control over the outcome of events in their lives, as opposed to external forces having that control.

Generalized Expectancies

A psychological concept referring to an individual's belief or expectation that their behavior can lead to certain outcomes, regardless of the specific situation.

Locus of Control

An individual’s belief about the extent to which their actions influence the outcomes or events in their lives.

Learned Helplessness

A condition in which a person suffers from a sense of powerlessness, arising from traumatic events or persistent failure to succeed.