成人高考专升本高等数学公式大全
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成人高考专升本高等数学公式大全
(tgx)??secx(ctgx)???csc2x(secx)??secx?tgx(cscx)???cscx?ctgx(ax)??axlna(logax)??1xlna2(arcsinx)??11?x21(arccosx)???1?x21(arctgx)??1?x21(arcctgx)???1?x2?tgxdx??lncosx?C?ctgxdx?lnsinx?C?secxdx?lnsecx?tgx?C?cscxdx?lncscx?ctgx?Cdx1x?arctg?C?a2?x2aadx1x?a?ln?x2?a22ax?a?Cdx1a?x??a2?x22alna?x?Cdxx?arcsin?C?a2?x2a?2ndx2?sec?cos2x?xdx?tgx?Cdx2?csc?sin2x?xdx??ctgx?C?secx?tgxdx?secx?C?cscx?ctgxdx??cscx?Cax?adx?lna?Cx?shxdx?chx?C?chxdx?shx?C?dxx2?a2?ln(x?x2?a2)?C?2In??sinxdx??cosnxdx?00n?1In?2n???x2a22x?adx?x?a?ln(x?x2?a2)?C22x2a2222x?adx?x?a?lnx?x2?a2?C22x2a2x222a?xdx?a?x?arcsin?C22a22导数公式:
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基本积分表:
三角函数的有理式积分:
2u1?u2x2dusinx?, cosx?, u?tg, dx?222
1?u1?u2一些初等函数: 极限:
ex:shx??e?x双曲正弦2chx?ex?e?x双曲余弦:2thx?shxex?e?x双曲正切:chx?ex?e?xarshx?ln(x?x2?1)archx??ln(x?x2?1)arthx?12ln1?x1?x
三角函数公式: ·诱导公式:
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1?u两个重要limsinx x?0x?1lim(1?1)x x??x?e?2.718281828459045...