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∫ln(x+a)/(x+b)dx
人气:388 ℃ 时间:2020-04-23 06:14:53
解答
答:∫In(x+a)/(x+b)dx=∫[(In(x+a)-In(x+b)]dx=∫In(x+a)dx-∫In(x+b)dx=(x+a)[In(x+a)-1]-(x+b)[In(x+b)-1]+C=(x+a)In(x+a)-(x+b)In(x+b)+b-a+CC是常数.这里说一下,∫In(x+a)dx=∫In(x+a)(x)'dx=xIn(x+a)-∫{[In(x...
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