Evaluate the Integral $$\int \frac { 6 \sin 2 x } { 1 + \cos ^ { 4 } x } d x$$

question 91

Multiple Choice

Evaluate the integral.
$$\int \frac { 6 \sin 2 x } { 1 + \cos ^ { 4 } x } d x$$

• A) \(6 \arctan \left( \sec ^ { 2 } x \right) + C\)
• B) \(- 6 \cos ^ { 2 } 2 x + C\)
• C) \(- 6 \arcsin ( \tan x ) + C\)
• D) \(1 - 6 \cos ^ { 2 } x + C\)
• E) None of these

---

Definitions:

NCI

NCI, or Non-Controlling Interest, refers to the share of ownership in a subsidiary that belongs to shareholders other than the parent company.

Entity Method

An accounting technique used in consolidations, treating the parent and subsidiary as separate entities for the calculation of minority interest and consolidated net income.

Non-Controlling Interest

The portion of equity in a subsidiary not held by the parent company, reflecting the minority shareholders' share of the profits and losses.

Net Assets

The total assets of an entity minus its total liabilities, representing the owners' equity or net worth of the entity.