Indefinite integrals. Arriving at different results.

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    Indefinite Integrals
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The forum discussion addresses the resolution of discrepancies in indefinite integrals, specifically focusing on the integration constant's role. A mistake was identified in the polynomial division process, which involved the expression "3x/x+3". The correct result of the integration is confirmed as "3x + 4ln|x + 3| + k", highlighting the importance of accurate polynomial division in integration tasks.

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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.
 

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