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Evaluate the integral:

$$\int \cot^3 x dx$$

A

$\dfrac12\cot^2x+\dfrac13\csc^3 x + C$

B

$\cot^4 x + C$

C

$\dfrac{1}{4}\cot^4x+C$

D

$-\dfrac12\cot^2x - \ln|\sin x| + C$

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