∫(5x-1)/(x2-x-2)dx=________．

admin2021-10-18 62

问题 ∫(5x-1)/(x²-x-2)dx=________．

选项

答案2ln｜x+1｜+3ln｜x-2｜+C

解析令(5x-1)/(x²-x-2)=(5x-1)/[(x+1)(x-2)]=A/(x+1)+B/(x-2)，解得A=2，B=3，则∫(5x-1)/(x²-x-2)dx=2∫dx/(x+1)+3∫dx/(x-2)=2ln｜x+1｜+3ln｜x-2｜+C．

转载请注明原文地址:https://kaotiyun.com/show/vyy4777K

考研数学二

相关试题推荐

随机试题

最新回复(0)