Find the Integral $$\int \tan ^ { 2 } x \sec ^ { 6 } x d x$$

question 77

Multiple Choice

Find the integral. $$\int \tan ^ { 2 } x \sec ^ { 6 } x d x$$

• A) \(\frac { 1 } { 7 } \tan ^ { 7 } x + \frac { 2 } { 5 } \tan ^ { 5 } x + \frac { 1 } { 3 } \tan ^ { 3 } x + C\)
• B) \(\frac { 1 } { 5 } \tan ^ { 5 } x + \frac { 2 } { 3 } \tan ^ { 3 } x + \tan x + C\)
• C) \(\frac { 1 } { 5 } \tan ^ { 5 } x + \frac { 2 } { 3 } \tan ^ { 3 } x - \tan x + C\)
• D) \(\frac { 1 } { 7 } \tan ^ { 7 } x + \frac { 2 } { 5 } \tan ^ { 5 } x - \frac { 1 } { 3 } \tan ^ { 3 } x + C\)

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Definitions:

Sanguineous

Relating to or involving blood; descriptive of drainage or exudate that is bloody in appearance.

Serous

Characterized by or producing a watery, protein-rich fluid; often referring to certain types of bodily secretions.

Stage 4 Pressure Injury

A severe injury to the skin and underlying tissue, characterized by extensive damage or necrosis, sometimes revealing underlying muscles or bone.

Drainage

The removal of fluid, waste, or other substances from a body part, wound, or other area, often through natural or surgical means.