Evaluate the Integral $$\int \frac { x + 10 } { x + 2 } d x$$

question 348

Multiple Choice

Evaluate the integral.
- $$\int \frac { x + 10 } { x + 2 } d x$$

• A) \(x + 8 \ln | x + 2 | + C\)
• B) \(x + 12 \ln | x + 2 | + C\)
• C) \(- \frac { 8 } { ( x + 2 ) ^ { 2 } } + C\)
• D) \(\left( x ^ { 2 } / 2 + 10 x \right) \ln | x + 2 | + C\)

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Definitions:

Peripheral Arterial Disease

A common circulatory problem in which narrowed arteries reduce blood flow to the limbs, often causing leg pain when walking, and can be indicative of a more widespread arterial disease.

Thoracic Expansion

The ability of the chest area to increase in volume, allowing for inhalation of air into the lungs.

Respiratory Acidosis

A condition where the lungs cannot remove enough carbon dioxide produced by the body, leading to a disturbance in the body's acid-base balance.

Carbon Dioxide Retention

A condition in which the lungs are unable to effectively expel carbon dioxide, leading to increased levels in the blood.