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∫(e,e^2)lnx/(x-1)^2dx
人气:218 ℃ 时间:2020-06-16 08:14:24
解答
∵∫[lnx/(x-1)^2]dx=-∫lnxd[1/(x-1)]=-[1/(x-1)]lnx+∫[1/(x-1)]d(lnx)=-[1/(x-1)]lnx+∫{1/[x(x-1)]}dx=-[1/(x-1)]lnx+∫{[x-(x-1)]/[x(x-1)]}d...
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