求一个不定积分的题目,,做到一半了
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求一个不定积分的题目,,做到一半了
![](http://img.wesiedu.com/upload/3/0b/30b6d2f5778ee329421a2151decf0a42.jpg)
分子和分母约分啊
![](http://img.wesiedu.com/upload/3/0b/30b6d2f5778ee329421a2151decf0a42.jpg)
分子和分母约分啊
![求一个不定积分的题目,,做到一半了](/uploads/image/z/17691498-18-8.jpg?t=%E6%B1%82%E4%B8%80%E4%B8%AA%E4%B8%8D%E5%AE%9A%E7%A7%AF%E5%88%86%E7%9A%84%E9%A2%98%E7%9B%AE%2C%2C%E5%81%9A%E5%88%B0%E4%B8%80%E5%8D%8A%E4%BA%86)
=∫【1/x+1/(x²+2x+2)】dx
=∫1/xdx+∫ 1/[(x+1)²+1] d(x+1)
=lnx+2arctan(x+1) + C
=∫1/xdx+∫ 1/[(x+1)²+1] d(x+1)
=lnx+2arctan(x+1) + C