导数函数x121x2a 21x2a 2微积分公式表积分备注kx丄dxIx2jxCIn xarcta nx1 arctan x111e函指 数x 22a212a 2x2Iexax ln ax ln aIn xlog a x-1 l n2a x aarcs in xx arcsin =aln( xIn xa 2 x2 )x 2a2exIn axln x xx log a x1一2 dx 1 cx1(arthx )1 x 211 xarthxln21 x1. 1a2 1 x a 2一1 1 ( 12 2x a 2a x a x a(arshx)1 x2arshx ln( x 1x2 )a 2x21a 2x2jf(archx )x21arshx ln( x1 x(xxa ex ln aln(1 x)x( xln xlog a xt VxM)0)导数函数积分备注角 函 数角 函 数cos xsin xcos xsin x x( x0)sin xcos xsin x1 cos x x (x0)2sec2 xtan xIn cosxsin xtanxcosxcsc2 xcot xIn pin xcos xcot x sin xsecx tan xsecxIn secx tan xxIn tan()24In secx tan x1 secx cos xcscxcot xcsc xiq csc x cot xxIn tan 21cscxsin xsec2 xtan x1 2sec x ccq 2 ycsc2 xcot xCrUO A1 2csc xsecxta n xsecxsin xcscxcot xcsc x厂 f1 yJ 1VII V7