I Why is the absolute value of sinx used in the integral of cotx?

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Why is there a absolute value sign on sinx?
Why is there a absolute value sign on sinx? Does it have to do with the domain of cot x and sin x?
 
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It has to do with the domain of the logarithm. ##\ln \sin x ## isn't defined whenever ##\sin x \leq 0.##
 

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