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Question
`int (cot(logx))/x "d"x` = ______.
Options
`(sin(log x))/cosx + "c"`
`log |tan (log x)| + "c"`
`log |cos (log x)| + "c"`
`log |sin (log x)| + "c"`
MCQ
Fill in the Blanks
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Solution
`int (cot(logx))/x "d"x` = `log |sin (log x)| + "c"`.
Explanation:
Put log x = t
⇒ `1/x "d"x` = dt
∴ `int (cot(logx))/x "d"x = int cot "t" "dt"`
= `log |sin "t"| + "c"`
= `log |sin(log x)| + "c"`
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Integrals of Trignometric Functions
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