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Integrate the following functions x logx...

Integrate the following functions `x logx`

Text Solution

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`intx logx dx = int logx xx x dx`
=`logx xx x^2/2 - int 1/x xx x^2/2 dx`
`(x^2logx)/2 -1/2 int x dx`
=`(x^2logx)/2 -1/2 x^2/2 +c`
=`x^2/2 logx - x^2/4 +c`
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