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Evaluate: int(1+cotx)/(x+logsinx)dx...

Evaluate: `int(1+cotx)/(x+logsinx)dx`

Text Solution

Verified by Experts

We have given
`int(1+cotx)/(x+logsinx)dx`
Let,
`I=int(1+cotx)/(x+logsinx)dx`
Put `t=x+log(sinx)`
`dt/dx=1+(1/sinx)*cosx`
`dt=(1+cotx)dx`
Therefore,
...
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