高等数学公式
导数公式：
(tanx)??sec2x(cotx)???csc2x(secx)??secx?tanx(cscx)???cscx?cotx(ax)??axlna(logax)??基本积分表：
(arcsinx)??11xlna1?x21(arccosx)???1?x21(arctanx)??1?x21(arccotx)???1?x2?tanxdx??lncosx?C?cotxdx?lnsinx?C?secxdx?lnsecx?tanx?C?cscxdx?lncscx?cotx?Cdx1x?arctan?C?a2?x2aadx1x?a?ln?x2?a22ax?a?Cdx1a?x??a2?x22alna?x?Cdxx?a2?x2?arcsina?C?2ndx2?sec?cos2x?xdx?tanx?Cdx2?csc?sin2x?xdx??cotx?C?secx?tanxdx?secx?C?cscx?cotxdx??cscx?Cax?adx?lna?Cx?shxdx?chx?C?chxdx?shx?C?dxx2?a2?ln(x?x2?a2)?C?2In??sinxdx??cosnxdx?00n?1In?2n???
考研
xa222x?adx?x?a?ln(x?x2?a2)?C22xa22222x?adx?x?a?lnx?x2?a2?C22xa2x2222a?xdx?a?x?arcsin?C22a22
三角函数的有理式积分：
2u1?u2x2dusinx?， cosx?， u?tg， dx? 22221?u1?u1?uA.积化和差公式：
sin?cos??1?sin(???)?sin(???)?2cos?sin??1?sin(???)?sin(???)?2cos?cos??1?cos(???)?cos(???)? sin?sin???1?cos(???)?cos?????? 22B.和差化积公式：
①sin??sin??2sin???2222????????????③cos??cos??2cos ④cos??cos???2sin cossin2222bca1.正弦定理：=== 2R （R为三角形外接圆半径）
sinAsinBsinCcos??? ②sin??sin??2cos???sin???
2..余弦定理：a2=b2+c2-2bccosA b2=a2+c2-2accosB c2=a2+b2-2abcosC
b2?c2?a2cosA?
2bc1111abc3.S⊿=a?ha=absinC=bcsinA=acsinB==2R2sinAsinBsinC
22224Ra2sinBsinCb2sinAsinCc2sinAsinB====pr=p(p?a)(p?b)(p?c)
2sinA2sinB2sinC1 (其中p?(a?b?c), r为三角形内切圆半径) 4.诱导公试
2 -? ?-? sin -sin? cos tan cot -ctg? -ctg? +ctg? -ctg? +ctg?
三角函数值等于?的同名三角函数值，前面加上一个把?看作锐角时，原三角函数值的符号；即：函数名不变，符号看象限
+cos? -tg? -tg? +tg? +sin? -cos? -sin? -sin? -cos? ?+? 2?-? 考研 ?+? 2k+cos? -tg? +sin? +cos? +tg?
?2?? ?? sin +cos? +cos? -cos? -cos? cos +sin? -sin? -sin? tan +ctg? -ctg? +ctg? cot +tg? -tg? +tg? -tg?
?23??? 23??? 2+sin? -ctg? 5.和差角公式
①sin(???)?sin?cos??cos?sin? ②cos(???)?