This is e-TeXk, Version 3.14159-2.1 (Web2C 7.4.5) Source specials enabled. entering extended mode LaTeX2e <2001/06/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, catalan, croatian, czech, danish, dutch, finnish, greek, iceland ic, irish, italian, latin, magyar, norsk, norsk, portuges, romanian, russian, s lovak, slovene, spanish, swedish, turkish, ukrainian, nohyphenation, loaded. (./current.tex (/usr/share/texmf/tex/latex/base/book.cls Document Class: book 2001/04/21 v1.4e Standard LaTeX document class (/usr/share/texmf/tex/latex/base/bk10.clo)) (/usr/share/texmf/tex/latex/base/makeidx.sty) (/usr/share/texmf/tex/latex/graphics/graphicx.sty (/usr/share/texmf/tex/latex/graphics/keyval.sty) (/usr/share/texmf/tex/latex/graphics/graphics.sty (/usr/share/texmf/tex/latex/graphics/trig.sty) (/usr/share/texmf/tex/latex/config/graphics.cfg) (/usr/share/texmf/tex/latex/graphics/dvips.def))) \@input{macros.aux} (./macros.tex (./srcltx.sty) (/usr/share/texmf/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. (/usr/share/texmf/tex/latex/amsmath/amstext.sty (/usr/share/texmf/tex/latex/amsmath/amsgen.sty)) (/usr/share/texmf/tex/latex/amsmath/amsbsy.sty) (/usr/share/texmf/tex/latex/amsmath/amsopn.sty)) (/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty) (/usr/share/texmf/tex/latex/amsfonts/amssymb.sty) (/usr/share/texmf/tex/latex/amscls/amsthm.sty)) (/usr/share/texmf/tex/latex/misc/fancybox.sty Style option: `fancybox' v1.3 <2000/09/19> (tvz) ) Writing index file current.idx (./current.aux) (/usr/share/texmf/tex/latex/cyrillic/ot2cmr.fd) (/usr/share/texmf/tex/latex/amsfonts/umsa.fd) (/usr/share/texmf/tex/latex/amsfonts/umsb.fd) [1] [2] (./current.toc [3]) [4] Chapter 1. (/usr/share/texmf/tex/latex/base/omscmr.fd) [5] [6] Chapter 2. [7] [8] Underfull \hbox (badness 10000) in paragraph at lines 256--257 Overfull \hbox (10.79999pt too wide) in paragraph at lines 264--264 [] [9] [10] [11] Underfull \hbox (badness 10000) in paragraph at lines 452--452 Overfull \hbox (10.79999pt too wide) in paragraph at lines 452--452 [] [12] [13] [14] [15] [16] Chapter 3. Overfull \hbox (10.79999pt too wide) in paragraph at lines 616--616 [] [17] [18] [19] Overfull \hbox (10.79999pt too wide) in paragraph at lines 814--814 [] [20] [21] Underfull \hbox (badness 10000) in paragraph at lines 885--885 Overfull \hbox (10.79999pt too wide) in paragraph at lines 885--885 [] [22] [23] [24] Chapter 4. [25] [26] Underfull \hbox (badness 10000) in paragraph at lines 1084--1084 Overfull \hbox (10.79999pt too wide) in paragraph at lines 1084--1084 [] [27] [28] [29] [30] Overfull \hbox (10.79999pt too wide) in paragraph at lines 1372--1372 [] Overfull \hbox (10.79999pt too wide) in paragraph at lines 1397--1397 [] [31] [32] [33] [34] [35] [36] Chapter 5. Overfull \hbox (10.79999pt too wide) in paragraph at lines 1640--1640 [] [37] [38] [39] Overfull \hbox (10.79999pt too wide) in paragraph at lines 1863--1863 [] [40] [41] [42] [43] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2080--2080 [] [44] [45] Overfull \hbox (1.04085pt too wide) in paragraph at lines 2194--2198 \OT1/cmr/bx/n/10 Remark 5.3.2. [][]\OT1/cmr/m/n/10 Trigono-met-ric sub-sti-tu-t ion is use-ful for func-tions that in-volve $[][]$, [46] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2288--2288 [] [47] [48] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2388--2388 [] Overfull \hbox (4.01044pt too wide) has occurred while \output is active \OT1/cmr/m/sl/10 5.5. INTEGRATION OF RATIONAL FUNCTIONS USING PARTIAL FRACTION S \OT1/cmr/m/n/10 49 [49] [50] Overfull \hbox (4.01044pt too wide) has occurred while \output is active \OT1/cmr/m/sl/10 5.5. INTEGRATION OF RATIONAL FUNCTIONS USING PARTIAL FRACTION S \OT1/cmr/m/n/10 51 [51] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2623--2623 [] Underfull \vbox (badness 10000) has occurred while \output is active [52] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2629--2629 [] [53] Overfull \hbox (18.17812pt too wide) in paragraph at lines 2704--2708 [][][]\OT1/cmr/m/n/10 Some of these func-tions are ex-tremly im-por-tant. For e x-am-ple, the in-te-grals $[][][] \OML/cmm/m/it/10 e[]du$ [54] [55] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2774--2774 [] [56] [57] Underfull \hbox (badness 10000) in paragraph at lines 2900--2900 Overfull \hbox (10.79999pt too wide) in paragraph at lines 2900--2900 [] [58] [59] [60] [61] [62] Chapter 6. Underfull \hbox (badness 10000) in paragraph at lines 3111--3111 Overfull \hbox (10.79999pt too wide) in paragraph at lines 3111--3111 [] Overfull \hbox (10.79999pt too wide) in paragraph at lines 3130--3130 [] [63] [64] Overfull \hbox (10.79999pt too wide) in paragraph at lines 3289--3289 [] [65] Underfull \vbox (badness 1365) has occurred while \output is active [66] Underfull \vbox (badness 10000) has occurred while \output is active [67] [68] [69] Overfull \hbox (6.73016pt too wide) detected at line 3547 \OT1/cmr/m/n/10 0\OML/cmm/m/it/10 :\OT1/cmr/m/n/10 00413223140495867 [] = [][] []\OML/cmm/m/it/10 dx \OMS/cmsy/m/n/10 ^^T \OML/cmm/m/it/10 ^^P\OT1/cmr/m/n/10 (3) \OMS/cmsy/m/n/10 ^^@ [] ^^T [][] []\OML/cmm/m/it/10 dx \OT1/cmr/m/n/10 = [] = [] = 0\OML/cmm/m/it/10 :\OT1/cmr/m/n/10 005\OML/cmm/m/it/10 : [70] Overfull \hbox (10.79999pt too wide) in paragraph at lines 3576--3576 [] [71] Overfull \hbox (29.65364pt too wide) in paragraph at lines 3644--3647 \OT1/cmr/bx/n/10 Example 6.4.5. [][]\OT1/cmr/m/n/10 For ex-am-ple, $[][] 3 [][] $ con-verges to $[][] = 9$. How-ever, $[][][] 3 [][]$ [72] [73] [74] Overfull \hbox (10.79999pt too wide) in paragraph at lines 3830--3830 [] [75] [76] [77] Overfull \hbox (10.79999pt too wide) in paragraph at lines 4033--4033 [] Overfull \hbox (45.59756pt too wide) in paragraph at lines 4067--4068 [][][] [78] [79] [80] [81] Overfull \hbox (10.79999pt too wide) in paragraph at lines 4213--4213 [] [82] [83] [84] Chapter 7. ! Missing $ inserted. $ l.4372 ! Display math should end with $$. \par l.4372 Overfull \hbox (10.79999pt too wide) in paragraph at lines 4378--4378 [] [85] No file current.ind. [86] (./current.aux) ) (see the transcript file for additional information) Output written on current.dvi (86 pages, 321832 bytes). Transcript written on current.log.