Evaluate: \( I=\int \frac{(\cos 2 x-3) d x}{\cos ^{4} x \sqrt{4-\cot ^{2} x}} \)

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Evaluate: \( I=\int \frac{(\cos 2 x-3) d x}{\cos ^{4} x \sqrt{4-\cot ^{2} x}} \)
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