$\text { Find } \int \frac { \sqrt { x } } { x - 4 } d x \text {. }$

question 22

Multiple Choice

$\text { Find } \int \frac { \sqrt { x } } { x - 4 } d x \text {. }$

• A)\(\int \frac { \sqrt { x } } { x - 4 } d x = \ln ( \sqrt { x } + \sqrt { x - 4 } ) + C\)
• B)\(\int \frac { \sqrt { x } } { x - 4 } d x = \ln ( \sqrt { x } - \sqrt { x - 4 } ) + C\)
• C)\(\int \frac { \sqrt { x } } { x - 4 } d x = - \frac { 1 } { 2 } \ln \left( \frac { \sqrt { x } + \sqrt { x - 4 } } { 2 } \right) + C\)
• D)\(\int \frac { \sqrt { x } } { x - 4 } d x = 2 \ln \left( \frac { \sqrt { x } - 2 } { \sqrt { x } + 2 } \right) + 2 \sqrt { x } + C\)
• E)\(\int \frac { \sqrt { x } } { x - 4 } d x = 2 \ln \left( \frac { \sqrt { x } + 2 } { \sqrt { x } - 2 } \right) + 2 \sqrt { x } + C\)

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Definitions:

Psychosomatic Disorders

Conditions in which psychological factors play a significant role in the development, manifestation, or exacerbation of physical symptoms.

Cognitive Distortions

Irrational, flawed thoughts that can lead to misinterpretation of reality, often found in negative thinking patterns.

Specific Phobias

A type of anxiety disorder characterized by an excessive and irrational fear of a specific object, situation, or activity that poses little to no real danger.

Anxiety Disorders

A category of mental health disorders characterized by feelings of anxiety and fear that are excessive, persistent, and can interfere with daily activities.