Set Up, but Do Not Evaluate, an Integral for the Area

question 151

Multiple Choice

Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve $y = \ln x ^ { 5 }$ about the $x$ -axis on the interval $1 \leq x \leq 5$ .

• A)
• \[\int _ { 5 } ^ { 1 } 2 \pi x \ln ( x ) \sqrt { 1 + \left( \frac { 5 } { x } \right) ^ { 2 } } d x\]
• B)
• \[\int _ { 5 } ^ { 1 } 2 \pi \sqrt { 1 + \left( \frac { 5 } { x } \right) ^ { 2 } } d x\]
• C)
• \[\int _ { 1 } ^ { 5 } 2 \pi ( 5 \ln ( x ) ) \sqrt { 1 + \left( \frac { 5 } { x } \right) ^ { 2 } } d x\]
• D)
• \[\int _ { 5 } ^ { 1 } 2 \pi ( 5 x ) \sqrt { 1 + \left( \frac { 5 } { x } \right) ^ { 2 } } d x\]
• E)
• \[\int _ { 1 } ^ { 5 } 2 \pi ( 5 x ) \sqrt { 1 + \left( \frac { 5 } { x } \right) ^ { 2 } } d x\]

Acknowledge the role of cultural influences on the perception and expression of psychological disorders.

Recognize the importance of early detection and intervention in psychological disorders.

Understand the impact of psychological disorders on daily life and activities.

Interpret statistical data related to the prevalence and onset of psychological disorders.

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Definitions:

Normative Influence

The process of using others to determine how to fit in.

Chameleon Effect

The unconscious mimicry of the gestures, behaviors, or expressions of others in social situations, often to create social rapport.

Conformity

The phenomenon whereby an individual alters his or her beliefs, attitudes, or behavior to bring them in accordance with those of a majority.

Participant

An individual who takes part in something, especially in a study, experiment, or survey, contributing data or insights.