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z6EF=Y<1}1=GjKM}f5kl16P=!B_57)4NIm=MsYcIldhXJ5)Mk+nKYI86f4>`V5j^k= zi1iGtvTI|9I4uLc((W%?D#QtSf#UE-v^_g+nVY0GYL zCZ>2LlfO74*!Df*WM_G0)<3rF6(=XzE4lA%*(Xk3M>|)EY_sT{_v%tVTlR}nz&jU( z+Hydg<>_{=7N_Kx_iD*UTWZDcd83^Vir>%8|6!f@{o*?l`mD6&l=w$)xAP(Kk1w|K zb>IBT&WFW6@ozhy#q)R(>+uTeu5t^T@DAR?2lz<*(?1#WKQiNI7ngoh1Rn}BG&2e% IB}Gq03Zo}=$N&HU 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}