数学分析数学分析PPT (13).pdf

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1、?1.?1?F?102dxxx?2?F?0cos3xdx?3?F?101nnxdx?4?0?nF?011dxxxnm?0?mn?5?dxxxF?024)1(?6?F20217cossin?xdxx?7?8?F?F?0dxexnxm0,?nm?1011)1(dxxxqnp0,?nqp?1?F?102dxxx8)21(81)3()23()23,23()1(22102121?R?RR?S?Fdxxx?2?2cos1xt?142arcsinxt?314221dtdxtt?123cos2(1)xt?F?0cos3xdx)21,41(221)1(221102143S?F?dttt?3?nxt?F?101n

2、nxdx?S?F?)11,1(1)1(110111nnndtttnnnnn?sin?4?8tan2?nx?F?011dxxxnmFF?2021122012cossin2tan2?88888dndnnmnmnm?82sin?tF?011dxxxnm?S?F?)1,(1)1(1101nmnmndtttnnmnmnmn?sin?5?xxt?1?dttdxttx2)1(1,1?1dxxxF?024)1(224sin4)43()41(41)43,45()1(104141?RR?S?F?dttt?6?xt2sin?F20217cossin?xdxx115525643474114152!3)434()43(

3、)4(21)1(2110413?2222?RRR?F?dttt?7?nxt?F?0dxexnxm)1(11011nmndtetntnm?R?F?8?nxt?F?1011)1(dxxxqnp?F?1011)1(1dtttnqnp()$%&qnpBn,1?2?()$%&R?F?nndxenx110?n1lim0?F?dxenxn?nxt?()$%&R?FF?nndttendxentxn1110110?)()1(sssR?RR1)1(11limlim0?R?()$%&?R?Fndxenxnn?3?)(sR0?sF?R01lne)(xdxxsxs?F?R01)(lne)(dxxxsnxsn1.n?10

4、(e)sxxdxs?I?IF10elnsxxxdx?F?000sS?0ss.1,0(?xxxxexsxslnln110?F?101ln0dxxxs?F?101lnexdxxxs0ss.?0sS?),1?x01lnSsxxxexx e?01eSxxdx?F?F?11lnexdxxxs0sS?F?01lnexdxxxss(0,)?)(sR0?sF?R01lne)(xdxxsxs?F?R011)1(lne)(dxxxsnxsn?110elnnsxxxdxs?I-#?,IF?F?01lnedxxxnxs?(0,)?2?)()1(sn?R0?s?F?R01)(lne)(dxxxsnxsn4?R?)(li

5、mss?1)2()1(?R?R?)(sR?Rolle?0?s)2,1(0?0 x0)(0?R x?0ln)(021?R F?xdxexsxs),(0?x?0)(?R s?)(sR),(0?x)1()()(?R?R?Rsss?)(0 xs?R!)1(nn?R?)(limss?5?FR10)(lndxx?tx?1?FR10)(lndxx?R?F10)1(lndttF?R10)1(lndxx?FR10)(ln2dxx*FF?RR?1010)sinln(ln)1()(lndxxdxxx?2lnsinln1sinln010?FF?uduxdx?FR10)(lndxx=?2ln?6?1|),(222?Jz

6、yxzyxp?FFFJ?pzyxdxdydzI2221?I?IFFFF?10221022020)1(4)1(sinpprdrrrdrrdd?8?1?p?FFFJ?pzyxdxdydzI2221?1?p?IFF?10211022)1(2)1(2dtttrrdrpp?()$%&?pB1,232?7?0,0,0|),(.?Jzyxzyx?,?FFFJ?zyxdxdydzI1?I?3?222wzvyux?dudvdwwvuwvuIFFFJ?22212121218?0,0,0|),(.?Jwvuwvu?8?8?cossinsincossinrzrvruF?201212cossin8?888?dIF?20

7、12122cossin?dF?0212221drrr?F?201212cossin?888d?F?202112112sincossin21?88888d11111011(1)(,)22ttdt?11?SF?F?2012122cossin?d)1,11(21?S?F?0212221drrr?F?10212221drrr?F?1212221drrr?11222?F?10212221drrr?F?1212221drrr?11222?1111?1111?F?0212221drrr?tr?2222111112001121rtdrdtrt?FF1111111,12B?&)&)?$%(%(?4?I11111

8、 1(,)(,)?SS?111111,1?&)S?$%()1111()1()1()1(1?RRRR?F?0212221drrr?8tan?r?F?0212221drrr?F?201222tan?88d?()$%&?S?F?888?1111,11121cossin2022211222d?8?FF?DpnmdxdyyxyxI111)1(?D0?x?0?y?1?yx?pnm,?0?yxyvyxu?uvyvux)1(uvuyx?II),(),(?D?10,10),(?vuvu?),(),()1()1(10111011mnpnmdvvvduuuImnpnmS?S?FF?)()()()(pnmpnm?RR

9、RR?1?p?FFFJ?dxdydzzyxpIpnm211)1(?J0?x0?y0?z?1?zyx?5?222wzvyux?8?8?cossinsincossinrzrvruF?201212cossin)1(8?888dpImnF?2032122cossin?dpnmF?103222drrpnm?F?201212cossin?888dmn),(21sin)sin1()(sin212021212mndmnS?F?888?F?2032122cossin?dpnm)1,(21sin)sin1()(sin212022212?S?F?pnmdpnm?F?103222drrpnm)1(21?pnm?SS?

10、)1,(),(11pnmmnpnmpI)()()()(pnmpnm?RRRR?9?2cos2tan20?Fdxx?1|?xdxxdxx?FF?cossintan2020)21,21(21?S?2cos221sin2212121?()$%&?R()$%&?R?10?2sin1111cos1cos1sin01()$%&?()$%&?F?kkkkd?10,20?k?2tan?t?FF?()$%&?02101)1()1(2cos1cos1sintkkdttkd?8tan11?tkk?6F?021)1()1(2tkkdtt?=()$%&?R()$%&R()$%&?()$%&?()$%&?()$%&?()

11、$%&?FF?212111121,21111cossin1112tan11122011201?88888?kkkBkkkdkkkdkkk?2sin1111()$%&?kkk?2sin1111cos1cos1sin01()$%&?()$%&?F?kkkkd?11?10?h3.n?hdttnnhn22102322)1(RR.?F?hut?FFF?.?102321023220232)1()1()1(dtuhdtuhhdttnnhn?8sin?u?F?10232)1(dtuhn=22011cos,222nhnhdB?8 8?&)?$%(F?1112222222nnhhnn?&)&)&)RRR$%(%(%(?&)&)RR$%(%(?hdttnnhn22102322)1(RR.?F?7

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