How do i integrate 3x4x1dx My teacher said it would require

How do i integrate ?(3x+4)/(x+1)dx? My teacher said it would require manipulation possibly polynomial long division.

(3x + 4)/(x + 1) =

(3x + 3 + 1)/(x + 1) =

(3(x + 1) + 1)/(x + 1) =

3(x + 1)/(x + 1) + 1/(x + 1) =

3 + 1/(x + 1)

Integral [ (3x + 4) /(x + 1) ] dx =

Integral [ 3 + 1/(x + 1) ] dx =

3x + ln|x + 1| + C

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