公公 式式 複複 習習Differentiation Rules(微分公式)Integration Rules(積分公式), 1nndxnxdxn1ln , 0dxxdxxwhere 11loglnadxdxxalnloglnaxxa1, if 11n nxx dxCnn 1lndxxCx三 角 函 數sincosdxxdxcossindxxdx 2tansecdxxdx2cotcscdxxdx secsec tandxxxdxcsccsc cotdxxxdx 22sincoscossinsectancsccotsec tanseccsc cotcscx dxxCx dxxCx dxxCx dxxCxx dxxCxx dxxC tanln cosln seccotln sinln cscsecln sectancscln csccotx dxxCxCx dxxCxCx dxxxCx dxxxC 指 數 函數xxdeedxln , 0xxdaaaadxxxe dxeC, 0, 1lnx xaa dxCaaa反 三 角 函 數, 121sin 1dxdxx 1x , 1 21tan1dxdxxx, 121sec |1dxdxxx 1x 1221sin , 0xdxCaaax 1 2211tan , 0xdxCaaxaa12211sec , 0xdxCaaax xa ( ) ( )( ) ( )( )( )df x g xfx g xf x g xdx2( )( ) ( )( )( ) ( )( ( )df xfx g xf x g x dxg xg x( )( )k f x dxkf x dx ( )( )( )( )f xg xdxf x dxg x dx(The Chain Rule) (鏈鎖律) ( ( )( ( )( )df g xfg xg xdx(The Substitution Rule) (代換法)( ) ( ( )( )( )u g x f g x g x dxf u du( )( )( )( ( )( )( )u g xbg bag af g x g x dxf u du