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Write a value of int(1+cotx)/(x+logsinx)...

Write a value of `int(1+cotx)/(x+logsinx)\ dx`

Text Solution

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Let,
`x+logsinx=t`

`1+(cosx)/(sinx) dx=dt`
`1+cotx dx=dt`

`=int(1+cotx)/(x+logsinx)\ dx`

`=int(dt)/(t)`

`=logt+C`

`=log(x+logsinx)+C`

...
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