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Evaluate: int(logx)/(x^2)\ dx...

Evaluate: `int(logx)/(x^2)\ dx`

Text Solution

Verified by Experts

We have given
`int(logx)/(x^2)\ dx`
`I=int(logx)/(x^2)\ dx`
By integration by parts
`I=int1/(x^2)logx dx`
`I=logx(-1/x)-int1/x(-1/x)dx`
`I=-(logx)/x-1/x+c`
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