Integrate the Function $$\int \frac { 9 \mathrm { dx } } { \sqrt { 9 + \mathrm { x } ^ { 2 } } }$$

question 360

Multiple Choice

Integrate the function.
- $$\int \frac { 9 \mathrm { dx } } { \sqrt { 9 + \mathrm { x } ^ { 2 } } }$$

• A) \(9 \ln \left| x + \sqrt { 9 + x ^ { 2 } } \right| + C\)
• B) \(\frac { 2 } { x ^ { 2 } + 9 } + C\)
• C) \(9 \ln \left| \sqrt { 9 + x ^ { 2 } } \right| + C\)
• D) \(x + \ln \left| 9 + \sqrt { 9 + x ^ { 2 } } \right| + C\)

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Definitions:

Chloroplasts

Organelles found in the cells of green plants and photosynthetic algae that conduct photosynthesis, converting light energy, water, and carbon dioxide into oxygen and glucose.

Greatest Density

Refers to the point at which a substance is at its highest mass per unit volume, often occurring at specific conditions of temperature and pressure.

Photosynthesis

Photosynthesis is a process by which green plants, algae, and certain bacteria convert light energy, typically from the sun, into chemical energy stored in glucose.

Chemical Energy

Energy stored in the bonds of chemical compounds that can be released in a chemical reaction.