不定积分公式大全

Ch4111)()(xfxF)(xF)(xf)(xF)(xfCxF)()(xf)()()(''xfxFCxF)(xf0)()()()()()('2'1'11xfxfxFxFxFxFCxFxF)()(21CxF)()(xf)(xF)(xf2)(xf)(xfdxxf)()(xfxCxFdxxf)()(1Ckxkdx1ln1111CxCxdxx2243dxxgdxxfdxxgxf)()()()()0()()(kdxxfkdxxkf2CxCxdxxxdx11)2(11)2(222CxCxdxxxdx21)21(11)21(21Cxxdxxxarctan3arcsin5131522Cxeexdxdxedxxexxxxln21ln2121Cxxxdxxxdxdxxxxcsccotcotcsccsccotcsccsc2Cxxxdxxdxdxxxxxxxdxtancotseccsccossincossincossin22222222Cxxdxxdxxcot1csccot22Cxxxdxxxdxxxdxxxarctan311111111322242421baxdadxbaxdbaxfadxbaxf1,11Cxuduuxxxdxdx)5cos(51sin51555sin515sinCxCxxdxdxx81777211612117121)21(212121)20(arctan111222Caxaaxaxdaxadx)23(arcsin1222Caxaxaxdxadx2nnnnnndxdxxdxxfndxxxf11,12CxCxxdxdxxx2321212212212213111121112113Cexdedxexxxx333323131xddxxCxxdxdxxx111sin11cos1cos122xddxxCxxdxdxxx21sin2cos2cos3,tansec,sincos,cossin,,ln12xdxdxxdxdxxdxdxdedxexddxxxx,,arcsin11,arctan11,sectansec222222xaddxxaxxddxxxddxxxdxdxx3)16(seclncoslncoscoscossintanCxCxxxddxxxxdx)17(coslnsinlnsinsinsincoscotCxCxxxddxxxxdx)18(tanseclntansectansectansectansecsecsecCxxxxxxddxxxxxxxdx)19(cotcsclncotcsccotcsccotcsccotcsccsccscCxxxxxxddxxxxxxxdxCxxxddxxxlnlnlnlnln1Cxxxdxxdx1tanln1tan1tantan1cos2Ceeeddxeexxxxx1ln111Cexeeeedxxxxxx1ln111Ceededxeexxxxxarctan1122Cexdedxexxxxx212212121144axaxdaxaxdadxaxaxaaxdx)()(21112122)22)(21(ln21Caxaxadxxxdxxxxdxxxx2222213113112Cxxxxdxxxdxarctan31ln211311212222413525221526222152422222xdxxxxxddxxxxdxxxxCxxx21arctan2352ln212Cxxxxdxdxxxdx2sin412122cos21212122cos1sin2Cxxdxxxxdxx2cos418cos1612sin8sin213cos5sinCxxxdxxxdxxdxdxxxsinlnlnsinlnsinlnsinlnsinsinsinlnsincossinlncotCxxxxdxdxdxxxxdxcos1tancoscosseccossin1sin122244csc214sin2sincosxdxxdxxxdxCxx4cot4cscln2111dxxa22)cos(sintataxtdtadxtaxacos,cos22=ttddtadttatdtata22cos21222cos1coscos225CaxaaxaaxaCtata22222224arcsin22sin42Cxaxaxa22221arcsin212Caxaxaxdxadxarcsin1222taxsin=CaxCtdttatdtaarcsincoscos322xadx)cot(tantataxtdtadxtaxa222sec,sec=CaxaaxCtttdttatdta222lntanseclnsecsecsec)24(ln22Caxx442xxdx)cot(tantataxtdtdxtx22sec2,sec24=CaxaaxCtttdttatdta222lntanseclnsecsecsec522axdx)csc(sectataxtdttadxtaaxtansec,tan22=caaxaxCtttdttatdtta22lntanseclnsectantansec)25(ln22Caxx66dxxx92taxsectdttdxtxtansec3,tan392=Cttttdttdtttttan31sec3tan3tansec3sec3tan322CxxCxx3arccos393arccos39322)(xf222222axaxxataxtaxtaxsectansin27311xdxdttdxtxtx2333,1,1=Ctttdtttdttttdtt1ln231113111313222Cxxx333211ln313123831xxdxdttdxtxtx5666,,=Cttdttdtttttdttarctan611161616222235Cxx66arctan69dxxxx1122212,11,1ttdtdxtxtxx7=Ctttdttdtttttdttt11ln212111212121222222Cxxxxxx11ln1210xedx112,1ln,122ttdtdxtxtexCeeCtttdtdttttxx1111ln11ln212121212241146xxdx2676,4111,1tdtdxttxxtxCxxCtttdtdtt4ln24114ln2411414241416666666Cxx4ln241ln4163VUUVVUVUVUUV,VdxUdxUVdxVUVdUUVUdV1xdxxcosCxxxxdxxxxxdcossinsinsinsin2dxxexCexedxexexdexxxxx83xdxlnCxxxdxxxxxxxdxxln1lnlnlntextx,lnCxxxCetedtetetdetttttln4xdxarcsinCxxxxxdxxdxxxxxxxdxx22221arcsin1121arcsin1arcsinarcsinarcsintxtxsin,arcsinCxxxCttttdtttttd21arcsincossinsinsinsin5xdxexsinxdxexxexdexexexdexexdxexexdexxxxxxxxxxsincossincoscossincossincossinsinCxxexdxexxcossin21sin6dxxx2cosCxxxxdxxxxxdseclntantantantan7dxxx21lnCxxxxdxxxxxxdxxxxxxxxx222222211ln11ln1111ln401110111)()()(bxbxbxbaxaxaxaxQxPxRmmmmnnnn916532xxxdxxxx65323223323236532xxBAxBAxBxAxxxxxx653231BABABACxxxdxxdxdxxxx)3ln(6)2ln(53625653265211656521651152212222xxdxxxxxddxxxxIdxxxxx213121165ln212Cxxxx23ln21165ln2122dxxxxdxxxxxxxdx222)1(1)1(1)1(1)1(Cxxxdxxxx111ln)1(111123Cxxxxxxddxxxxdxxx21arctan21211111112222424dxxxxdxxxxdxxxxxdx222222422411111121111211Cxxxxxxxxxxdxxxxd2121ln22121arctan21212112112122Cxxxxxx2121ln2121arctan22122210dxxxRIcos,sinuxxuarctan2,2tanduudxuuxuux222212,11cos,12sinduuuuuuRI22221211,125xdxcos53uxxuarctan2,2tanduudxuux22212,11cosCxxCuuududuuuu2tan22tan2ln4122ln22141211531222265cossin2xxdxuxxuarctan2,2tanduudxuuxuux222212,11cos,12sin22312511122122222uududuuuuuuCxCuuud512arctan3arctan513531arctan53319531313127dxxxcos1sin1duuuuuduuuuuu)1(21121111212222222duuuuuduuuu2221121)1(21CxxCuuu2sinln22cot1lnln212