清華大學(xué)微積分高等數(shù)學(xué)課件第13講不定積分一(編輯修改稿)
2025-02-12 06:13 本頁面
【文章內(nèi)容簡介】 xdxc o s)4(Cx???11?? )1( ???Cx ?lnCx ?? c o sCx ?s in二、基本積分表 2022/2/13 19 ?? dxa x)5(?? dxe x)6(?? xd x2s e c)7(?? xd x2c s c)8(?? s h x d x)9(?? c h x d x)10(Caax ?ln1Ce x ?Cx ?t a nCx ?? c o tCch x ?Csh x ?2022/2/13 20 ??????????????dxxdxxdxxdxx222211)14(11)13(11)12(11)11(Cx ?a r c si nCx ?a r c c o sCx ?a r c t a nCxa r c ?c o tCaxaax dx ???? ar c tan1)15( 222022/2/13 21 Caxaxaaxdx ??????ln21)18(22Caxxadx ????ar c s i n)16(22Cxaxxadx ??????)l n ()17( 2222Cxxxd x ???? c s cc otlnc s c)20(Cxxxdx ???? s e ctanlns e c)19(2022/2/13 22 ? ???? dxxxxx )1112(]4[ 23計算例??????????dxxdxxdxxdxdxx231112原式421 x?[解 ] 221 x? x? x2?x1? C?2022/2/13 23 ? ??dxxx112]5[ 22計算例dxxx? ????13)1(222原式dxxdx ?????1132 2Cxx ??? a r c t a n32[解 ] 2022/2/13 24 ? ? dxxx 22 c oss i n1]6[ 計算例dxxxxx? ??? 2222c oss i nc oss i n原式dxxdxx ???? 22s i n1c os1Cxx ??? c o tt a n[解 ] 2022/2/13 25 ）（目標是積分基本公式形再分項通過代數(shù)或三角恒等變直接分項小結(jié)：?????xdxdxxx222t a n)2()1(1)1(練習(xí)題：dxxxxx? ????)1()1(2222? ?? dxx )1(s e c 22022/2/13 26 ?5c o s ?? dxx問：cxxdxdxx ???? ? 5s i n51)5(5c os515c osux ?5視cxdxx ??? s i nc o scuduu ??? s i nc o s或利用微分形式不變性 )5(5c o s)
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