Integrate the Function $$\int \frac { d x } { x ^ { 2 } \sqrt { x ^ { 2 } - 25 } } , x > 5$$

question 26

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { x ^ { 2 } \sqrt { x ^ { 2 } - 25 } } , x > 5$$

• A) \(\frac { 1 } { 25 x } + C\)
• B) \(\frac { 125 } { x } + C\)
• C) \(\ln \left| x + \sqrt { x ^ { 2 } - 25 } \right| + C\)
• D) \(\ln \left| \frac { x } { 5 } + \frac { \sqrt { x ^ { 2 } - 25 } } { x } \right| + C\)

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Definitions:

Total Cost

The total of all costs associated with the creation of goods or services, encompassing both constant and fluctuating expenses.

ATC

Average Total Cost, which is the total cost of production divided by the quantity of output produced, representing the per-unit cost of production.

Long Run

A period in economics during which all inputs, including capital and labor, can be varied, allowing for full adjustment to changes.

Output

The total value of goods and services produced by an economy over a specific time period.