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

Question 25

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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