Indefinite integrals. Arriving at different results.

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    Indefinite Integrals
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*SOLVED* Indefinite integrals. Arriving at different results.

Mistake found. Thanks!, everything looks correct now.
 
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Integration constant is not a function of x.
 
"(polynomial division 3x/x+3) ?(3)dx+4lnlx+3l + k =

My answer------> 3x+4lnlx+3l + k2

Your polynomial division is wrong.