一道定积分计算题题
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一道定积分计算题题
![](http://img.wesiedu.com/upload/c/4a/c4aeff9f3a8705a3b316c127d24f5c79.jpg)
![](http://img.wesiedu.com/upload/c/4a/c4aeff9f3a8705a3b316c127d24f5c79.jpg)
![一道定积分计算题题](/uploads/image/z/8361495-63-5.jpg?t=%E4%B8%80%E9%81%93%E5%AE%9A%E7%A7%AF%E5%88%86%E8%AE%A1%E7%AE%97%E9%A2%98%E9%A2%98)
2x-1=2x-4+3=2(x-2)+3
(2x-1)dx/(x-2)=[2(x-2)+3]dx/(x-2)=2dx+3dx/(x-2)
不定积分为2x+3ln(2-x)+c
定积分等于4-3ln3
(2x-1)dx/(x-2)=[2(x-2)+3]dx/(x-2)=2dx+3dx/(x-2)
不定积分为2x+3ln(2-x)+c
定积分等于4-3ln3