微积分公式复习表 (三角函数,指数函数,反三角函数)(微分公式)(积分公式)

公式複習DifferentiationRules(微分公式)IntegrationRules(積分公式)1nndxnxdx,n1ln,0dxxdxx11loglnadxdxxawherelnloglnaxxa1,if11nnxxdxCnn1lndxxCx三角函數sincosdxxdxcossindxxdx2tansecdxxdx2cotcscdxxdxsecsectandxxxdxcsccsccotdxxxdx22sincoscossinsectancsccotsectanseccsccotcscxdxxCxdxxCxdxxCxdxxCxxdxxCxxdxxCtanlncoslnseccotlnsinlncscseclnsectancsclncsccotxdxxCxCxdxxCxCxdxxxCxdxxxC指數函數xxdeedxln,0xxdaaaadxxxedxeC,0,1lnxxaadxCaaa反三角函數121sin1dxdxx,1x121tan1dxdxx,x121sec||1dxdxxx,1x1221sin,0xdxCaaax12211tan,0xdxCaaxaa12211sec,0xdxCaaaxxa()()()()()()dfxgxfxgxfxgxdx2()()()()()()(())dfxfxgxfxgxdxgxgx()()kfxdxkfxdx[()()]()()fxgxdxfxdxgxdx(TheChainRule)(鏈鎖律)[(())](())()dfgxfgxgxdx(TheSubstitutionRule)(代換法)()(())()()ugxfgxgxdxfudu()()()(())()()ugxbgbagafgxgxdxfudu