∫ x2·e0.5·x dx = x2·2·e0.5·x - ∫ 2·x·2·e0.5·x dx
= x2·2·e0.5·x + ∫ -4·x·e0.5·x dx
= x2·2·e0.5·x + (-4)·x·2·e0.5·x - ∫ -4·2·e0.5·x dx
= x2·2·e0.5·x - 8·x·e0.5·x + ∫ 8·e0.5·x dx
= x2·2·e0.5·x - 8·x·e0.5·x + 8·2·e0.5·x
= x2·2·e0.5·x - 8·x·e0.5·x + 16·e0.5·x
= 2·e0.5·x·(x2 - 4·x + 8)