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1、1 0 0 2 22 babaab 2 1 0 21 21 nia n aaa aaa i n n n 2 0 tansin xxxx 0 1ln 1 xxx x x 10 x x x x x arcsin 1ln 1 1 x x x x arcsin 1ln 1 1 2 xxxxarcsin1 1ln 1 2 xxxxxfarcsin1 1ln 1 2 1arcsin 1 1 1ln 2 x x x xxf 0arcsin 1 1ln 2 x x x x 0 0 f 10 x 0 xf 0 x 1 2 1 1 1 x x ex 2 1 1ln 1 1 x x x 2 2 1ln 1 2xxx
2、x 2 0 1ln 1 22 2 xxxxxxf 2 1ln 222 xxxf 1ln 2xx 0 0 0 f 0 x 0 xf ba 0 abab ab ba a1lnln2 22 ba 1 ln lnln x x ab ab ba 0 22 211 ba a b 22 2lnln ba a ab ab lnln ax ax ax axx 0 2 22 111 2 axx ax xx a xax x ax x 0 a ax 0 ax lnln ax ax ax ab ab ab ab lnln 1lnln abab ab qp 1 11 qp 3 0 xx q x p p 11 0 11 x
3、x q x p xf p 1 1 p xxf 0 x f 1 x 1 2 p xpxf 0 1 1 pf 1 x xf 0 x 0 1 fxf x q x p p 11 1 lim 0 x xf x 0 x f xxf 1 lim 0 x xf x 0 0 f 1 0 f 2 2 0 0 x f xffxf 2 2 x f x 0 xfx 1 lim 0 x xf x 0 0 f 1 0 f 0 x f x f xcffxfxf 0 c x 0 x f xxfxcfxf 0 0 xxf xxfxF 0 xF xF 4 1 xfxF 01 0 0 fF 0 xfxF x F 0 x x F 0
4、x xF 0 xfxF 0 x xF xF 0 x 00 0 0 fFxF 1 lim 0 x xf x 0 0 f 1 0 f xfy 0 0 xy 0 x f xfy xfy 0 0 xy xxf xf ba 0 x f 21 baxx 21 xx 10 1 1 2121 xfxfxxf 21 1 xxx 21 xx 21 xxx 1 121111 xxfxxfxfxf 11 xx 122222 xxfxxfxfxf 22 xx 1 1 1 211221 ffxxxfxfxf 0 x f x f 21 ff 5 0 1 21 xfxfxf 1 1 2121 xfxfxxf 21 1 xxx
5、 2 1 1 11 2 xx f xxxfxfxf 2 1 1 21 2 1 xx f xxxfxf 2 2 2 22 2 xx f xxxfxfxf 2 2 2 12 2 xx f xxxfxf 1 21 xfxfxf 2 1 1 2 xx f 2 2 2 2 1 xx f xf 1 1 2121 xfxfxxf 0 qp 1 11 qp 0 0 yx qp y q x p xy 11 11 ln ln qp y q x p xy 11 ln lnln qp qp y q x pq y p x 6 xxfln 2 1 1 x xf x xf xxfln 11 qp qp y q x p f
6、q yf p xf 6 xf xg ba xgxf d d xxgxxf b a b a M m xf ba d abMxxfabm b a xf ba d d xxfxxf b a b a xf xg ba b a b a b a dxxgdxxfdxxgxf 222 1 1 2 2 2 2 dx x x M 1 2 2 dx e x N x cos1 2 2 dxxK KNMA NKMB NMKC MNKD dx x x M 2 2 2 2 1 1 dx x xx 2 2 2 2 1 21 dx x x 1 2 1 2 2 2 0 0 1 xxex dx e x N x 2 2 1 dx
7、2 2 1 dxxK cos1 2 2 dx 2 2 1 NMK 7 xf 1 0 1 1 1 fff 0 x f 1 1 0 dxxf 1 1 0 dxxf 1 0 0 1 dxxfdxxf 1 0 0 1 dxxfdxxf B k x k kxdxeI 0 3 2 1 sin 2 A 321 III B 123 III C 132 III D 312 III D xf 1 0 a adxxfadxxf 0 1 0 10 aa a dxxfadxxfadxxf 00 1 a a dxxfadxxfa 0 1 1 a cfaadxxfa 0 1 1 1 ac 1 0 1 2 1 a cfaad
8、xxfa 1 2 ca xf 21 cfcf a a dxxfadxxfa 0 1 1 a dxxf 0 dtatfa 1 0 atx 8 1 0 dxaxfa xf xax xfaxf 1 0 1 0 dxxfadxaxfa a dxxfadxxf 0 1 0 u udxxfudxxfuF 0 1 0 10 1 0 dxxfufuF cfuf 10 c 0 c F cu 0 0 u F 1 uc 0 u F uF 1 0 0 u 1 u 0 1 0 FF 10 u 0 uF a dxxfadxxf 0 1 0 xgxf 1 0 0 0 0 xff 0 x g 1 0 a 1 d d 1 00
9、 gafxxgxfxxfxg a xF 1 00 1 d d gxfttgtfttftg x 1 gxfxfxgxF 0 1 gxgxf xF 1 0 1 0 1 1 d d 1 gfttgtfttftgF 1 1 1 0 gfdttgtftftg 1 1 1 0 gftgtf 0 0 0 gf 1 0 0 xxF 9 xxgxfxxfxg a 1 00 d d xxgxfxxgxfxxfxg a aa 1 00 d d d 1 a dxxgxfagaf 1 a dxxgafagaf 1 a dxxgafagaf 1 aggafagaf 1 gaf xf xg ba b a b a b a d
10、xxgdxxfdxxgxf 222 tF 222 t a t a t a dxxgxfdxxgdxxf 0 aF t a t a t a dxxgxftgtfdxxftgdxxgtftF 2 2222 dxxgxftgtfxftgxgtf t a 2 2222 0 2 dxtgxfxgtf b a tF ba 0 aFbF 0 222 b a b a b a dxxgxfdxxgdxxf b a b a b a dxxgdxxfdxxgxf 222 0 xg 0 2 dxxgxf b a 0 2 222 b a b a b a dxxfdxxgxfdxxg 0 2 b a dxxg 0 4 4
11、 222 b a b a b a dxxgdxxfdxxgxf 10 b a b a b a dxxgdxxfdxxgxf 222 xf 1 0 0 0 f 1 0 1 0 22 2 1 dxxfdxxf x dttfxf 0 xxx dttfdtdttfxf 0 2 0 2 2 0 2 1 1 0 2 0 2 dttfxdttfx x 1 0 2 1 0 2 1 0 1 0 2 2 1 dttfdttfxdxdxxf 2 0 x xxx2tansin 2 0 x sin tan x x x x 10 x x x e x 1 1 2 0 x 22 1 ln 1 xxx 1 1 na 2 1 1 11 2 1 1 ln 1 n a a aa n a nnnn 0 x f 0 0 f 0 1 x 0 2 x 2121 xfxfxxf 1 0 xx xx x1 1 ln 10 0 1 xxx tan sin sin 1 1 3 1 1 2 2 1 1 1 dx x x Idx x x Idx x x I 132 III 312 III 321 III 231 III xf 0 b ba 0 dxxf a dxxf b dxxxf abb a 2 2 00 xf 1 0 0 1 0 ff 11 4 1 1 0 1 0 22 dxxfdxxf
