分享兴趣，传播快乐，增长见闻，留下美好！亲爱的您，这里是LearningYard新学苑。今天小编为大家带来的是好学高数（九）：不定积分的求法。
Share interests, spread happiness,
increase knowledge, and leave a good future!
Dear you, this is the new LearningYard Academy.
Today, the editor brings you
the studious high number (nine):The Solution of Indefinite Integral.
一
上次我们在好学高数（七）中已经讲到积分换元法，今天我们就说到分部积分法和有理函数的积分。
Last time, we talked about the integral substitution method in Learning Higher Mathematics (7). Today, we will talk about the integration by parts and the integration of rational functions.
一、分部积分法
此方法的关键在于将什么函数移到d的后面，初学者还需要多多尝试。经常会出现的一个问题就是需要求的东西到后面求着求着又出现了，这时候我们需要判断，观察能否移项，将要求的不定积分当作未知数求解，全部移到一侧。
例：
The key to this method is to move the function behind d. Beginners need to try more. A problem that often arises is that what needs to be solved appears again after it is solved. At this time, we need to judge whether it is possible to shift items, and solve the required indefinite integrals as unknowns, moving them all to one side.
二、有理函数的积分
1、此方法主要用于分式上下均含有未知数进而求解
1. This method is mainly used to solve the problem that the upper and lower fractions contain unknowns
主要方法格式：
如果遇到根号，就需要换元，然后再进行上述步骤。
If the root sign is encountered, you need to exchange the yuan, and then perform the above steps.
2、知识补充
2. Knowledge supplement
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That's all for today's sharing.
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please leave us a message.
Let's meet tomorrow and wish you a happy day!
END
翻译：百度翻译参考：《高等数学 第七版》同济大学数学系编
文案&排版：易春秀
审核：闫庆红
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