integral (x-1)(√(x-2))

Integral Parsial

Int (x - 1)(x - 2)^(1/2) dx
= (x - 1) . (2/3)(x - 2)^(3/2) - 1 . (4/15)(x - 2)^(5/2) + C
= (2/3)(x - 1)(x - 2)√(x - 2) - (4/15)(x - 2)^2 √(x - 2) + C
= (2/15)(x - 2)√(x - 2) [5(x - 1) - 2(x - 2)] + C
= (2/15)(x - 2)√(x - 2) [3x - 1] + C

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

∫ (x - 1) √(x - 2) dx = 2/15 (x - 2) √(x - 2) (3x - 1) + C
Perhitungan ada di lampiran.