∫ 6x√3x^2+5 dx... Akarnya nyambung

Misal 3x^2 + 5 = U
dU = 6x dx
dx = dU / 6x

∫6x U^1/2 × dU/6x
∫U^1/2 dU
= 1/1 + 1/2 U^(1 + 1/2) + C
= 1 / 3/2 U^3/2 + C
= 2/3 U√U + C
= 2/3 (3x^2 + 5)√(3x^2 + 5) + C