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清華大學(xué)微積分高等數(shù)學(xué)課件第13講不定積分一-資料下載頁

2025-01-16 06:13本頁面
  

【正文】 ????222)(c os4)(c osxxdCx ??? )2c osar c s i n ( 2[解 ] 2022/2/13 36 ? ? xedx1]7[ 例dxeeedxe xxxx ?? ????? 1111dxeedx xx? ? ??? 1? ???? xxeedx1)1([解 ] Cex x ???? )1l n (2022/2/13 37 ? xdxc os]8[ 例??? ??? xxddxxxdxx 22 s i n1 )(s i nc osc osc os 1Cxx ????s i n1s i n1ln21Cxx ???c oss i n1ln[解 ] Cxx ??? t a ns e cln2022/2/13 38 )ln1(ln112lnln1 xdxx ?????? ?原式dxxxx?? ln12ln]9[ 例)ln1()ln1( 21xdx ??? ?[解 ] )ln1()ln1()12(l n 21xdx ???? ??Cxx ?????? 2123)ln1)(12(l n2)ln1(322022/2/13 39 dxxexxx? ??)1()1(]10[ 例dxxexeexxxx? ??? )1( )1(原式)()1()1( xxxxxxedxexexexe? ????? ?? )1( )( xxxxexexedCxexexx???1ln[解 ] 2022/2/13 40 )( baxda d x ??)(21 2xdx dx ?)( xx eddxe ?)( s i nc o s xdxdx ?)c o s(s i n xdxdx ??)(l n1xddxx?)(21xddxx?)(ar c tan112 xddxx ??)(ar c s i n112xddxx?? 常用微分公式 2022/2/13 41 ?)s i n(c os2 2 ??? xxdx練習(xí)?1143???? dxxxx練習(xí)Cxx ??? 42 121ar c s i n21Cx???ta n11?)1(3 42 ??? xxdx練習(xí)??? ????? 222 121121 xdxxdxxdx2022/2/13 42 ?32324 ???? dxxx練習(xí)?152???? dxxxx練習(xí)?1162 ??? dxe x練習(xí)dxxxdxxdxxx ??????????222 )3(439429432xdxxdxxdxxxx ??? ???????? 1)1( 222? ?? dxeedxexxx)1(
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