The value of \( \int \frac{1}{\cos ^{6} x+\sin ^{6} x} d x \) is eq...

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The value of \( \int \frac{1}{\cos ^{6} x+\sin ^{6} x} d x \) is equal to
\( \mathrm{P} \)
(A) \( \tan ^{-1}(\tan x+\cot x)+C \)
(B) \( -\tan ^{-1}(\tan x+\cot x)+C \)
W
(C) \( \tan ^{-1}(\tan x-\cot x)+C \)
(D) \( -\tan ^{-1}(\tan x-\cot x)+C \)
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