diff --git a/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.pdf b/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.pdf index eb5288b..25228b1 100644 Binary files a/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.pdf and b/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.pdf differ diff --git a/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.tex b/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.tex index 46b4068..05e7722 100644 --- a/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.tex +++ b/advanced-math/exercise/4-integal-of-functions-of-single-variable/integal-of-functions-of-single-variable.tex @@ -47,6 +47,14 @@ 一个函数,可以存在不定积分,而不存在定积分;也可以存在定积分,而不存在不定积分。一个连续函数,一定存在定积分和不定积分;若只有有限个间断点,则定积分存在;若有跳跃间断点,则原函数一定不存在,即不定积分一定不存在。 +\subsection{连续性} + +\begin{itemize} + \item 函数可积,原函数连续。 + \item 函数连续,原函数可导(连续)。 + \item 函数有有限个第一类间断点,则原函数连续。 +\end{itemize} + \section{不定积分} \subsection{基本积分}