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Evaluate : int ((1+"log"x)^(2))/(x)-" dx...

Evaluate : `int ((1+"log"x)^(2))/(x)-" dx "`

Text Solution

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`"Let I " =int (1+"log "x)^(2)/(x) dx`
`"Let "(1+"log "x)=t`
`rArr " "1/x =(dt)/(dx)`
`rArr" "1/x dx =dt`
`:. " "I=int t^(2) dt=1/3t^(3) +C`
`=1/3(1+" log "x)^(3) +c.`
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