Integrate the Function $$\int \frac { d x } { \sqrt { 25 x ^ { 2 } - 121 } } , x > \frac { 11 } { 5 }$$

question 457

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { \sqrt { 25 x ^ { 2 } - 121 } } , x > \frac { 11 } { 5 }$$

• A) \(\frac { 1 } { 11 } \ln \left| \frac { 11 } { 5 } x + \frac { \sqrt { 25 x ^ { 2 } - 121 } } { 5 } \right| + C\)
• B) \(\frac { 1 } { 5 } \ln \left| \sec ^ { - 1 } \left( \frac { 11 } { 5 } x \right) + \frac { \sqrt { 25 x ^ { 2 } - 121 } } { 11 } \right| + C\)
• C) \(\frac { 1 } { 5 } \ln \left| \frac { 5 } { 11 } x + \frac { \sqrt { 25 x ^ { 2 } - 121 } } { 11 } \right| + C\)
• D) \(\frac { 1 } { 5 } \ln \left| \frac { 5 } { 2 } x + \frac { 11 } { \sqrt { 25 x ^ { 2 } - 121 } } \right| + C\)

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Limiting Factor

An environmental condition that restricts the growth, abundance, or distribution of an organism or a population within an ecosystem.

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A substance that provides nourishment essential for the growth and maintenance of life.

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Compounds containing the nitrite ion, NO2−, often used in food preservation and potentially harmful in high concentrations.