[Wiskunde] Integraal ( 1/ln2(x+2) x 1/(x+2)dx )
Moderators: ArcherBarry, Fuzzwood
[Wiskunde] Integraal ( 1/ln2(x+2) x 1/(x+2)dx )
Iemand die ons kan helpen met de volgende integraal:
/
|1 1
|---------- x ---------- dx
|ln^2(x+2) (x+2)
/
/
|1 1
|---------- x ---------- dx
|ln^2(x+2) (x+2)
/
- Berichten: 24.578
Re: [Wiskunde] Integraal ( 1/ln2(x+2) x 1/(x+2)dx )
dx/((x+2)*ln2(x+2))
Stel y = ln(x+2) <=> dy = dx/(x+2)
=> dy/y2 = -1/y + C = -1/ln(x+2) + C
Stel y = ln(x+2) <=> dy = dx/(x+2)
=> dy/y2 = -1/y + C = -1/ln(x+2) + C