integral x/(x-3)^2 dx

Materi : Integral
Kelas : XII

int x / (x-3)^2 dx
= int x (x-3)^-2 dx
→ Gunakan cara subsitusi, sehingga :
= x / -2-1 (x-3)^-2-1 dx
= x / -3.1 (x-3)^-3 dx
= x / - 3 (x-3)^3 + c
= - 1x / 3 (x-3)^3 + c
= ln (|x-3|) - 3 / (x-3) + c

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