integral dari x^2(√x^3+1) dx

InTegraL

Misal :
u = x³ + 1
du/dx = 3x²
x² dx = 1/3 du

∫x²√(x³ + 1) dx
= ∫u^1/2 . 1/3 du
= 1/3 . 1/(3/2) . u^3/2 + C
= 2/9 (x³ + 1)√(x³ + 1) + C