hasil dari ∫₁²(x-1)(2x²-4x+1)dx ?

pakai substitusi
U = 2x²-4x+1
du/dx = 4x-4
dx = du/(4x-4)

∫₁²(x-1)(2x²-4x+1)dx =
∫₁²(x-1) U du/4(x-1)
∫₁²U/4 du
1/4 ∫₁²U du = 1/4 (1/2 U²)
= 1/4 [(1/2 (2(2)²-4(2)+1)) - (1/2 (2(1)²-4(1)+1))]
= 1/4 [1/2+1/2]
=1/4

semoga membantu. maaf kalo salah