Intregral (x^2 + 2) (x^3 + 6x + 1)^1\2 dx

Integral Substitusi.
Kelompok wajib kelas XI SMA kurikulum 2013 revisi 2016.

∫ (x² + 2) (x³ + 6x + 1)^(1/2) dx
u = x³ + 6x + 1
du / dx = 3x² + 6 → dx = du / (3x² + 6)
= ∫ (x² + 2) √u du / (2x + 6)
= 1/3 ∫ √u du
= 1/3 [2/3 u^(3/2)] + C
= 2/9 (x³ + 6x + 1) √(x³ + 6x + 1) + C