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

question 47

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:

Working Memory

A component of short-term memory where information is temporarily held and manipulated for cognitive tasks such as learning, reasoning, and comprehension.

Hypnosis

A trance-like state characterized by heightened focus, concentration, and suggestibility.

Elaborative Rehearsal

A memory technique that involves thinking about the meaning of the information and connecting it to other knowledge the person has, to better retain the information.

Tip-Of-The-Tongue Effect

A cognitive phenomenon where a person cannot fully retrieve a word or name but has a partial recall or feels that retrieval is imminent.