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Integrate: cot x / log (sin x)

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Solution:

$I=int fraccot xlog sin xdx$ Put , $log sin x= tRightarrow frac1sin x imes cos x hspace0.1cmdx=dtRightarrow cot xhspace0.1cmdx=dt$

$Rightarrow$ $I= int frac1tdt=log left | t ight |+c=log left | log sin x ight |+c$

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Deependra Verma

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