hasil dari integral (x-3)(x^-6x+1)`3 dx = ...

jawab

∫ (x- 3) (x² -6x  +1)³ dx
u = x² -6x + 1
du = 2x - 6 dx , maka 2(x-3) dx = du
(x-3) dx = 1/2 du

∫ (1/2 du)(u³)  = 1/2  ∫ u³ dx  = 1/2 (1/4) (u)⁴ +c
= 1/8 (x² - 6x + 1)⁴ + c