`int (1)/(x+xlogx) dx`

Explanation

`int(1)/(x+xlogx)dx" "{:("माना "1+logx=t),(rArr" "(1)/(x)dx=dt):}`
`=int(1)/(x(1+logx))dx`
`=int(1)/(t)dt=log|t|+c`
`=log|1+logx|+c`