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प्रश्न
Integrate the following with respect to x :
`cot x/(log(sin x))`
उत्तर
`int cot x/(log(sin x)) "d"x`
Put `log(sin x)` = u
`1/sin x xx cos x "d"x` = du
`cosx/sinx * "d"x` = du
`cot x * "d"x` = du
`int cot x/(log(sin x)) "d"x = int "du"/"u"`
= `log |"u"| + "c"`
`int cot x/(log(sin x)) "d"x = log |log(sin x)| + "c"`
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