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Integrate the functions1/(x+xlogx)...

Integrate the functions`1/(x+xlogx)`

Text Solution

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Let `∫1/(x+xlogx)`
Put `1+logx=t⇒1/x​dx=dt`
⇒`∫1/(x+xlogx)*dx=∫​dt/t`
=`log(t)+C=log(1+logx)+C`
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