作者GBRS ()
看板trans_math
标题Re: [积分] 帮忙一下吧
时间Wed Mar 1 23:50:26 2006
※ 引述《topractise (铁雄,开着太空船)》之铭言:
: ∫x^8 ln(x+1) dx
: 谢罗~
=∫ln(x+1) d(x^9/9)...多项式拿进去
=ln(x+1)(x^9/9)-∫x^9/9 d[ln(x+1)]
=ln(x+1)(x^9/9)-(1/9)∫[x^9/(x+1)] dx...第二项分子次方比分母大,使用长除法或
综合除法
=ln(x+1)(x^9/9)-(1/9)∫{(x^8-x^7+x^6-x^5+x^4-x^3+x^2-x+1)-[1/(1+x)]} dx
=...
剩下的你就会解拉...
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1F:推 topractise:感谢... 03/02 10:50