高数积分问题及答案(好学高数十五)(1)

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Today's small edition brings you the learning of advanced numbers (15): definite integral.

01

与定积分概念有关的问题的解法

1、用定积分概念与性质求极限

2、用定积分性质估值

3、与变限积分有关的问题

高数积分问题及答案(好学高数十五)(2)

此类问题放大或缩小时一般应保留含参数的项

01 Solution of problems related to the concept of definite integral

1. Use the concept and property of definite integral to find the limit

2. Use the property of definite integral to evaluate

3. Problems related to variable limit integral

高数积分问题及答案(好学高数十五)(3)

In general, items with parameters should be retained when such problems are magnified or reduced

02

有关定积分计算和证明的方法

1、熟练掌握定积分计算的常用公式和方法

2、注意特殊形式定积分的计算

3、利用各种积分技巧计算定积分

(1)区间再现

高数积分问题及答案(好学高数十五)(4)

(2)反三角函数公式

高数积分问题及答案(好学高数十五)(5)

4、有关定积分命题的证明方法

在有些情况下要设辅助函数

02 Methods for calculation and proof of definite integral

1. Master the common formulas and methods for calculation of definite integral

2. Pay attention to the calculation of special forms of definite integral

3. Use various integral skills to calculate definite integral

(1) Interval reproduction

(2) Inverse trigonometric function formula

4. The proving method of definite integral proposition requires auxiliary functions in some cases

END

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翻译:百度翻译参考:《高等数学 第七版》同济大学数学系编声明:本文由LearningYard新学苑原创,若有侵权请联系删除!

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