If \(\int \sec^{2} x co\sec^{4}x dx = -\dfrac {1}{3}\cot^{2} x + k \tan x - 2\cot x + c\), then ...

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If \(\int \sec^{2} x co\sec^{4}x dx = -\dfrac {1}{3}\cot^{2} x + k \tan x - 2\cot x + c\), then \(k\) is equal to
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