tolang bantuantuannya ya secepatnya

integral Substitusi

∫ (x-2) √(2x² -8x -5) dx
u = 2x² - 8x - 5

du = 4x - 8 dx
du = 4(x -2) dx
(x-2) dx = 1/4 du

∫(x-2)(√(2x² -8x -5) dx = ∫ 1/4 u^(1/2) du
= 1/4 (2/3)(u)^(3/2) + c
= 1/6 u √ u + c
= 1/6 (2x² -8x -5) √(2x² -8x - 5) + c