Integral(4x-6)(x^2-3x-6)^3dx

Integral Tak Tentu

Misal :
u = x² - 3x - 6
du/dx = 2x - 3
du = (2x - 3) dx

∫(4x - 6)(x² - 3x - 6)³ dx
= ∫2(2x - 3)(x² - 3x - 6)³ dx
= 2 ∫u³ du
= 2 . 1/4 . u⁴ = C
= 1/2 (x² - 3x - 6)⁴ + C