Find the Volume of the Solid Obtained by Revolving the Region

question 47

Short Answer

Find the volume of the solid obtained by revolving the region under the graph of $y = 5 \left( \frac { 1 } { x ^ { 2 } } - \frac { 1 } { x ^ { 4 } } \right)$ on $[ 1 , \infty )$ about the $x$ -axis.

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Definitions:

Behavioral Modeling

A training or learning method that involves observing and imitating the behavior of others as a way to learn and adopt specific skills or behaviors.

Increase Aggression

The act or process of escalating hostile or violent behaviors or attitudes.

Aggressive Acts

Behaviors intended to cause harm or damage to others, which may be physical or verbal in nature.

Catharsis

The process of releasing, and thereby providing relief from, strong or repressed emotions, often through art, drama, or other forms of expression.