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:

Collude Effectively

To engage in a secret agreement or cooperation among parties, often competitors, for a deceitful or illegal purpose, such as fixing prices or rigging markets.

Pure Monopoly

describes a market structure where a single company has exclusive control over the supply of a product or service, with no close substitutes.

Cartel Agreement

An arrangement among competing firms to control prices or output in a market, often to limit competition.

Cartelized Market

A market situation where a small number of firms collaborate to control prices and production, limiting competition.