hasil dari ∫3x √3x² - 2 dx?

InTegraL

Misal :
u = 3x² - 2
du/dx = 6x
6x dx = du
kedua ruas bagi 2
3x dx = 1/2 du

•••
∫3x √(3x² - 2) dx
= ∫u^1/2 . 1/2 du
= 1/2 ∫u^1/2 du
= 1/2 . 1/(3/2) . u^3/2 + C
= 1/2 . 2/3 u√u + C
= 1/3 (3x² - 2)√(3x² - 2) + C