不定积分的基本公式

不定积分一．求不定积分与求导数或微分互为逆运算。('F)()(xfx或dxxfxdF)()(CxFxdxf)()()()1.')(dxxf')(xf或dxxfdxxfd)()(2.'FCxFdxx)()(或CxFxdF)()(3.dxxfadxxaf)()()0(a二.基本积分公式1.Ckxkdx是常数）k(2.nx11nxdxnC)1(n3.Cxxdx||ln4.Cxxdxarctan125.Cxxdxarcsin126.Cxxdxsincos7.Cxxdxcossin8.Cxxdxxdxtanseccos229.Cxxdxxdxcotcscsin2210.Cxxdxxsectansec11.Cxxdxxcsccotcsc12.Cedxexx13.Caadxaxxln14.Cxxdx|cos|lntan15.Cxxdx|sin|lncot16.Cxxxdx|tansec|lnsec17.Cxxxdx|cotcsc|lncsc18.Caxaxadxarctan12219.Caxaxaaxdx||ln2122Cxaxaaxadx||ln212220.Caxdxxaarcsin12221.Caxxaxdx||ln222222.Cbaxadxbax||ln1123.Cxdxx2124.Cxdxx112可能用到的公式：（1）11111)1(1ndxndxndxnnnn（2）3223333babbaaba）（（3）))((2233babababa（4）xx22sec1tanxx22csc1cot)5(222112cos,122sin,tan)8(1seccos)7(1cscsin6ttttt则设）（