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int x^2/(x^2+6x+12) dx...

`int x^2/(x^2+6x+12) dx`

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I=`int x^2/(x^2+6x+12) dx`
I=`int( x^2+6x+12−(6x+12)​)/(x^2+6x+12) dx`
=`intdx-int(6x+12)dx/(x^2+6x+12) `
=`x-3int(2x+4)dx/(x^2+6x+12) `
=`x-3int(2x+6-2)dx/(x^2+6x+12) `
=`x-3int(2x+6)dx/(x^2+6x+12) +3.2int 1/(x^2+6x+12) dx`
=`x-int dt/t+6.1/sqrt(3) ​tan^(−1)((x+3​)/sqrt(3))+c`
...
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