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Multiplying cosec x by (cosec x - cot x)/(cosec x - cot x) before integrating leads to
Aln|cosec x + cot x| + C
Bln|cosec x - cot x| + C
C-cosec x cot x + C
Dln|sin x + cos x| + C
Answer & Solution
Correct answer: B. ln|cosec x - cot x| + C
Multiplying by (cosec x - cot x)/(cosec x - cot x) and substituting t = cosec x - cot x gives ln|t|.
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