∫ 2·x·√(x - 1) dx
= 2·x·2/3·(x - 1)^(3/2) - ∫ 4/3·(x - 1)^(3/2) dx
= 2·x·2/3·(x - 1)^(3/2) - 8/15·(x - 1)^(5/2)
= 4/15·(x - 1)^(3/2)·(3·x + 2) + c
∫ 2·x·√(x - 1) dx
= 2·x·2/3·(x - 1)^(3/2) - ∫ 4/3·(x - 1)^(3/2) dx
= 2·x·2/3·(x - 1)^(3/2) - 8/15·(x - 1)^(5/2)
= 4/15·(x - 1)^(3/2)·(3·x + 2) + c