Integrate the Function $$\int \frac { d x } { x \sqrt { 16 x ^ { 2 } - 36 } }$$

question 228

Multiple Choice

Integrate the function.
- $$\int \frac { d x } { x \sqrt { 16 x ^ { 2 } - 36 } }$$

• A) \(\frac { 2 } { 3 } \sec ^ { - 1 } \frac { 2 } { 3 } x + C\)
• B) \(\frac { 2 } { 3 } \sin ^ { - 1 } \frac { 2 } { 3 } x + C\)
• C) \(\frac { 1 } { 6 } \sec ^ { - 1 } \frac { 2 } { 3 } x + C\)
• D) \(\frac { 1 } { 4 } \sin ^ { - 1 } \frac { 2 } { 3 } x + C\)

---

Definitions:

Cost Structure

The composition of a company's costs, including fixed and variable costs, and how they affect overall expenditure.

Minimum Quantities

The smallest amount of a product that can be ordered, produced, or maintained in inventory.

Maximized Total Cost

Refers to the highest possible sum of all costs associated with a certain process, project, or production activity.

Raw Materials

The basic, unprocessed resources or inputs used in the production of goods and services.