Use a Definite Integral to fiNd an Expression That Represents $$y = \frac { x } { 4 } + 2$$

question 191

Multiple Choice

Use a definite integral to find an expression that represents the area of the region between the given curve and the
x-axis on the interval [0, b].
- $$y = \frac { x } { 4 } + 2$$

• A) \(- \frac { b } { 4 } - 2\)
• B) \(- \frac { b ^ { 2 } } { 8 } - 2 b\)
• C) \(\frac { b ^ { 2 } } { 8 } + 2 b\)
• D) \(\frac { b } { 4 } + 2\)

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Definitions:

Compulsion

A repetitive and seemingly purposeful behavior performed in response to an obsession or according to rules that must be rigidly followed.

Ritualized Behaviors

Actions performed in a prescribed manner that are often symbolic and are part of a larger cultural or religious practice.

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A sudden event, such as an accident or a natural catastrophe, that causes great damage or loss of life.

Obsessive-compulsive Disorder

A mental disorder characterized by unwanted, recurring thoughts and repetitive behaviors that the individual feels compelled to perform.