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Evaluate : ∫1x(3+logx)dx - Mathematics and Statistics

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Evaluate : `int1/(x(3+logx))dx`

 

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Solution

`Let I=int1/(x(3+logx))dx`

`"Put  "logx=t`

`1/x dx=dt`

`I=int1/(3+t)dt`

=log|(3+t)|+C

=log|(3+logx)|+C

Concept: Indefinite Integration - Methods of Integration
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