换元积分法
- 网络integration by substitution;Integral by Substitution
![换元积分法](../cache/1405231.jpg)
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通过实例分析了在换元积分法中容易犯的一类错误及其产生的原因,指出了在解题中避免产生这类错误的一般方法。
Specific examples were cited to analyze the mistakes and causes in the use of integration by substitution , and the general method was pointed out to avoid such kinds of mistakes in operation .
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在定积分计算中初学者常用的计算方法有三种:(1)利用牛顿-莱布尼兹公式,(2)定积分的换元积分法,(3)定积分的分部积分法。
In calculation of definite integral , beginners tend to use three methods of calculation : ( 1 ) Leibniz formula ,( 2 ) integration by substitution of definite integral ,( 3 ) integration by parts of definite integral .
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关于换元积分法的两点注记
A Note on Integral by Substitution
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第二换元积分法是求函数不定积分的一种重要方法,具有一定的适用范围,对某些无理函数的积分的求解通常使用该方法。
The integration by second substitution is an important method of calculating indefinite integral , it has a certain application , it usually applies to calculate some integrals of irrational function .