求不定积分.∫【 u^(1/2)+1】(u-1) du:

发布时间:2021-02-24 09:12:18

求不定积分.∫【 u^(1/2)+1】(u-1) du:

网友回答

∫【 u^(1/2)+1】(u-1) du
=∫[ u^(3/2)+u-u^(1/2)-1)] du
=∫ u^(3/2)du+∫udu-∫u^(1/2)du-∫1 du
=2/5 u^(5/2)+1/2 u^2-2/3 u^(3/2)-u+C
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