高等数学导数、微分、不定积分公式

高等数学导数、微分、不定积分公式-1-一、基本导数公式：''1'''''''2'2'''2'2'21.2.3.ln4.15.logln16.ln7.sincos8.cossin9.tansec10.cotcsc11.secsectan12.csccsccot113.arcsin1114.arccos1115.arctan11nnxxxxakxkxnxaaaeexxaxxxxxxxxxxxxxxxxxxxxx'216.acot1rcx二、基本微分公式：12221.2.3.ln4.15.ln16.logln7.sincos8.cossin9.tansec10.cotcsc11.secsectan12.csccsccot113.arcsin114.arccosnnxxxxadkxkdxnxdxdaaadxdeedxdxdxxdxdxxadxxdxdxxdxdxxdxdxxdxdxxxdxdxxxdxdxdxxdx22211115.arctan1116.cot1dxxdxdxxdarcxdxx高等数学导数、微分、不定积分公式-2-三、不定积分基本公式：11.2.13.14.ln15.ln||6.sincos7.cossin8.tanln|cos|9.cotln|sin|10.cscln|csccot|11.secln|sectan|nnxxxxkdxkxcxxdxcnedxecadxacadxxcxxdxxcxdxxcxdxxcxdxxcxdxxxcxdxxxc2232121311xdxxcxdxxcdxcxx22222222222112.ccotsin113.sectancos114.arctan1115.arcsin116.sectansec17.csccotcsc118.arctan119.ln||220.dxcsxdxxcxdxxdxxcxdxxcxdxxcxxxdxxcxxdxxcdxxcxaaadxxacxaaxadxa222222222arcsin21.ln||22.ln||xcaxdxxxacxadxxxacxa221ln112xdxxcx21arctan1dxxcx高等数学导数、微分、不定积分公式-3-四、特殊的三角函数值：五、三角函数的和差化积公式：sinsin2sincos22sinsin2cos.sin22coscos2cos.cos22coscos2sin.sin22六、三角函数的积化和差公式：1sincossinsin21cossinsinsin21coscoscoscos21sinsincoscos2幂的公式:21cos2sin2a21cos2cos2七、万能公式：令tan2xt则x=2arctant221dxdtt22222sincos2tan2222sin2sincos221sincos1tan222xxxxxtxxxt22222222cossin1tan1222cos1cossin1tan222xxxtxxxxt222tan22tan11tan2xtxxt八、平方关系：222222sincos11tansec1cotcsc九、导数关系：tan.cot1sin.csc1cos.sec1十、商的关系：sinsectancoscsccsccsccotsinsec030°45°60°90°sinx01222321cosx13222120tanx03313无cotx无31330