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

question 53

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

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Definitions:

Achondroplasia

A genetic disorder characterized by dwarfism due to an abnormality in the conversion of cartilage into bone, particularly in the long bones.

Arthralgia

Pain in a joint, often not accompanied by inflammation.

Lordosis

A curvature of the spine that results in an exaggerated inward curve, typically of the lower back.

Anterior Curvature

The forward curvature of the spine, known as lordosis, which is normal in the cervical and lumbar regions.