Evaluate the Integral $$\int 9 \sec ^ { 4 } x d x$$

question 122

Multiple Choice

Evaluate the integral.
- $$\int 9 \sec ^ { 4 } x d x$$

• A) \(3 \tan ^ { 3 } x + C\)
• B) \(- 3 \tan ^ { 3 } x + C\)
• C) \(9 ( \sec x + \tan x ) ^ { 5 } + C\)
• D) \(9 \tan x + 3 \tan ^ { 3 } x + C\)

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Definitions:

Accessory Organ

Organs that are not directly involved in the primary function of a system but provide essential support or contribute to the functionality of the main organs.

Digestive Tract

The series of organs through which food passes, nutrients are absorbed, and waste is expelled; also known as the gastrointestinal tract.

Muscularis Layer

A layer of muscle found in various organs, including the stomach and intestines, which aids in movement and function.

Smooth Muscle Fibers

The individual muscle cells or fibers that make up smooth muscle, characterized by their spindle shape and lack of striations.