Integrate the Function $$\int \frac { \mathrm { dx } } { \sqrt { 9 \mathrm { x } ^ { 2 } - 121 } } , x > \frac { 11 } { 3 }$$

question 67

Multiple Choice

Integrate the function.
- $$\int \frac { \mathrm { dx } } { \sqrt { 9 \mathrm { x } ^ { 2 } - 121 } } , x > \frac { 11 } { 3 }$$

• A) \(\frac { 1 } { 3 } \ln \left| \frac { 3 } { 2 } x + \frac { 11 } { \sqrt { 9 x ^ { 2 } - 121 } } \right| + C\)
• B) \(\frac { 1 } { 3 } \ln \left| \sec ^ { - 1 } \left( \frac { 11 } { 3 } x \right) + \frac { \sqrt { 9 x ^ { 2 } - 121 } } { 11 } \right| + C\)
• C) \(\frac { 1 } { 11 } \ln \left| \frac { 11 } { 3 } x + \frac { \sqrt { 9 x ^ { 2 } - 121 } } { 3 } \right| + C\)
• D) \(\frac { 1 } { 3 } \ln \left| \frac { 3 } { 11 } x + \frac { \sqrt { 9 x ^ { 2 } - 121 } } { 11 } \right| + C\)

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Definitions:

Inherited

Traits or conditions that are passed from parents to offspring through genes.

Transposable Elements

DNA sequences that can change their position within a genome, sometimes creating or reversing mutations and altering the cell's genetic identity.

Chromosome Region

A specific segment of a chromosome where genes are located.

Exons

Portions of a gene that are transcribed and translated into proteins, interspersed with noncoding sequences called introns.