If \( I=\int \sqrt{\frac{\cos ^{3} x}{\sin ^{11} x}} d x \), then \( I \) equals (a) \( -\frac{2...

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If \( I=\int \sqrt{\frac{\cos ^{3} x}{\sin ^{11} x}} d x \), then \( I \) equals
(a) \( -\frac{2}{5}(\cot x)^{5 / 2}-\frac{2}{7}(\cot x)^{7 / 2}+C \)
(b) \( -\frac{7}{2}(\cot x)^{7 / 2}-\frac{3}{11}(\cot x)^{11 / 3}+C \)
(c) \( \frac{5}{2}(\cot x)^{5 / 2}+\frac{11}{2}(\cot x)^{2 / 11}+C \)
(d) none of these
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