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Evaluate the Integral ∫6sin⁡2x1+cos⁡4xdx\int \frac{6 \sin 2 x}{1+\cos ^{4} x} d x

Question 53

Multiple Choice

Evaluate the integral. ∫6sin⁡2x1+cos⁡4xdx\int \frac{6 \sin 2 x}{1+\cos ^{4} x} d x


A) 6arctan⁡(sec⁡2x) +C6 \arctan \left(\sec ^{2} x\right) +C
B) −6cos⁡22x+C-6 \cos ^{2} 2 x+C
C) −6arcsin⁡(tan⁡x) +C-6 \arcsin (\tan x) +C
D) 1−6cos⁡2x+C1-6 \cos ^{2} x+C
E) None of these

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