3.68 Integrals 6701 to 6800

  3.68.1 \(\int -\frac {51 e^{-\frac {3}{-4-17 x+\log (4)}}}{16+136 x+289 x^2+(-8-34 x) \log (4)+\log ^2(4)} \, dx\)
  3.68.2 \(\int \frac {e^{179 x/3} (-6-349 x)+e^x (-12-6 x+3 x^2)}{24 x^3+3 e^{176 x} x^3+36 x^4+18 x^5+3 x^6+e^{352 x/3} (18 x^3+9 x^4)+e^{176 x/3} (36 x^3+36 x^4+9 x^5)} \, dx\)
  3.68.3 \(\int (8 e^{2 x+\frac {1}{4} (-4 e^{2 x}-\log (5))}+8 x) \, dx\)
  3.68.4 \(\int \frac {2 e^x x+e^{e^{2 x}+2 e^x x+x^2} (-6 e^{2 x} x-6 x^2+e^x (-6 x-6 x^2))-x \log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}})+(-e^x x-x \log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}})+(3 e^x+3 \log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}})) \log (e^x+\log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}}))) \log (-x+3 \log (e^x+\log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}})))}{-e^x x-x \log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}})+(3 e^x+3 \log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}})) \log (e^x+\log (5 e^{-e^{e^{2 x}+2 e^x x+x^2}}))} \, dx\)
  3.68.5 \(\int (-1-x+\log (\frac {5 e^{-x}}{2 x})) \, dx\)
  3.68.6 \(\int \frac {e^{\frac {x}{-x+\log (-75 x \log (x)+\log (x^2))}} (2 x-75 x^2-75 x^2 \log (x)+(75 x^2 \log (x)-x \log (x^2)) \log (-75 x \log (x)+\log (x^2)))+\log (1+e^{\frac {x}{-x+\log (-75 x \log (x)+\log (x^2))}}) (-75 x^3 \log (x)+x^2 \log (x^2)+(150 x^2 \log (x)-2 x \log (x^2)) \log (-75 x \log (x)+\log (x^2))+(-75 x \log (x)+\log (x^2)) \log ^2(-75 x \log (x)+\log (x^2))+e^{\frac {x}{-x+\log (-75 x \log (x)+\log (x^2))}} (-75 x^3 \log (x)+x^2 \log (x^2)+(150 x^2 \log (x)-2 x \log (x^2)) \log (-75 x \log (x)+\log (x^2))+(-75 x \log (x)+\log (x^2)) \log ^2(-75 x \log (x)+\log (x^2))))}{\log ^2(1+e^{\frac {x}{-x+\log (-75 x \log (x)+\log (x^2))}}) (-75 x^3 \log (x)+x^2 \log (x^2)+(150 x^2 \log (x)-2 x \log (x^2)) \log (-75 x \log (x)+\log (x^2))+(-75 x \log (x)+\log (x^2)) \log ^2(-75 x \log (x)+\log (x^2))+e^{\frac {x}{-x+\log (-75 x \log (x)+\log (x^2))}} (-75 x^3 \log (x)+x^2 \log (x^2)+(150 x^2 \log (x)-2 x \log (x^2)) \log (-75 x \log (x)+\log (x^2))+(-75 x \log (x)+\log (x^2)) \log ^2(-75 x \log (x)+\log (x^2))))} \, dx\)
  3.68.7 \(\int \frac {x^{\frac {4}{\log (x^2)}} (8 \log (x)-4 \log (x^2))+(4 x-e^x x-2 x^2) \log ^2(x^2)}{x \log ^2(x^2)} \, dx\)
  3.68.8 \(\int \frac {e^{-5-\frac {x}{e^5}} (e^{e^2} (-2 e^5-x)-24 x-x^4+e^5 (-48+x^3))}{x^3} \, dx\)
  3.68.9 \(\int \frac {256-1280 x^2+(-256-2560 x) \log (x)-1280 \log ^2(x)}{(x^2+5 x^3+(x+10 x^2) \log (x)+5 x \log ^2(x)) \log ^2(\frac {x+5 x^2+5 x \log (x)}{2 x+2 \log (x)})} \, dx\)
  3.68.10 \(\int \frac {3 x^2-16 x^3-10 x^4+72 x^5+63 x^6+e^x (-3 x^2+17 x^3+6 x^4-74 x^5-51 x^6+9 x^7)}{36-72 e^x+36 e^{2 x}} \, dx\)
  3.68.11 \(\int \frac {2 e^{6+2 x}+16 e^4 x^3+e^{10} (-10+2 x)+e^7 (-40 x+12 x^2)+e^x (e^8 (-8+2 x)+e^5 (8 x+4 x^2))}{e^{10}} \, dx\)
  3.68.12 \(\int \frac {-72-2 e^{e^2}+48 x-12 x^2+x^3}{-64+48 x-12 x^2+x^3} \, dx\)
  3.68.13 \(\int \frac {15+e^{\frac {1}{15} (75+11 x+x^2)} (11+2 x)}{15 e^{\frac {1}{15} (75+11 x+x^2)}+15 x} \, dx\)
  3.68.14 \(\int \frac {1}{x} \, dx\)
  3.68.15 \(\int (40+32 x+(-60 x^2-64 x^3) \log ^2(4)+24 x^5 \log ^4(4)) \, dx\)
  3.68.16 \(\int \frac {4-e^4+32 x^3-\log (4)}{x^2} \, dx\)
  3.68.17 \(\int \frac {2375+4 e^4+e^2 (-195-8 x)+200 x+4 x^2}{2500+2575 x+199 x^2+4 x^3+e^4 (4+4 x)+e^2 (-200-203 x-8 x^2)} \, dx\)
  3.68.18 \(\int \frac {-2+2 x+x^3-2 x^2 \log (x)+x \log ^2(x)}{x^3-2 x^2 \log (x)+x \log ^2(x)} \, dx\)
  3.68.19 \(\int \frac {e^{-3 x} (5+(-15 x-10 x^2+15 x^3) \log (x)-15 x \log (x) \log (4 \log (x)))}{x \log (x)} \, dx\)
  3.68.20 \(\int \frac {(15 e^5-15 x) \log ^2(x)+((30 e^5-30 x) \log (x)+(-15 e^5+45 x) \log ^2(x)) \log (2 x)}{e^{15} x^2-3 e^{10} x^3+3 e^5 x^4-x^5} \, dx\)
  3.68.21 \(\int \frac {1}{4} e^{-x} (30 e^x x+40 x^3-10 x^4+e^5 (15 x^2-5 x^3)) \, dx\)
  3.68.22 \(\int \frac {960+480 x+2520 x^2+360 e^3 x^2}{400-320 x-16 x^2-248 x^3+116 x^4+28 x^5+49 x^6+e^6 x^6+e^3 (-40 x^3+16 x^4+4 x^5+14 x^6)} \, dx\)
  3.68.23 \(\int e^{-6+e^{5 x}-e^{32 e^{-1+e^{5 x}}} x^2} (e^{32 e^{-1+e^{5 x}}} x^x (-2 e^{1-e^{5 x}} x-160 e^{5 x} x^2)+e^{1-e^{5 x}} x^x (1+\log (x))) \, dx\)
  3.68.24 \(\int \frac {e^{-2 x} ((-72+48 x-8 x^2+(18-12 x+2 x^2+18 x^4-12 x^5+2 x^6) \log (\frac {2+2 x^4}{x^4})) \log (x \log (\frac {2+2 x^4}{x^4}))+(-24 x+14 x^2-2 x^3-24 x^5+14 x^6-2 x^7) \log (\frac {2+2 x^4}{x^4}) \log ^2(x \log (\frac {2+2 x^4}{x^4})))}{(x+x^5) \log (\frac {2+2 x^4}{x^4})} \, dx\)
  3.68.25 \(\int \frac {e^{5/2} (50 x-25 x^2)}{16 x^4+e^5 (10000-20000 x+10000 x^2)+e^{5/2} (-800 x^2+800 x^3)} \, dx\)
  3.68.26 \(\int \frac {1}{2} (-3+2 e^{2 x}) \, dx\)
  3.68.27 \(\int \frac {-1+e^{e^2} (1+e^{2 x} (-256-2 x))-x+e^{2 x} (256+257 x+2 x^2)+(-256+256 e^{e^2}-255 x) \log (x)+(-e^{e^2+2 x}+e^{2 x} (1+x)+(-1+e^{e^2}-x) \log (x)) \log (\frac {-e^{2 x}+\log (x)}{-1+e^{e^2}-x})}{-256 e^{e^2+2 x} x+e^{2 x} (256 x+256 x^2)+(-256 x+256 e^{e^2} x-256 x^2) \log (x)+(-e^{e^2+2 x} x+e^{2 x} (x+x^2)+(-x+e^{e^2} x-x^2) \log (x)) \log (\frac {-e^{2 x}+\log (x)}{-1+e^{e^2}-x})} \, dx\)
  3.68.28 \(\int \frac {12-17 x-e^2 x+e^x (x-x^2)}{x^3} \, dx\)
  3.68.29 \(\int \frac {e^2 (160-10 x^2)+e^{-1+x} (-32-64 x-30 x^2-4 x^3)}{-3125 x^2+1875 e^{-3+x} x^2-375 e^{-6+2 x} x^2+25 e^{-9+3 x} x^2} \, dx\)
  3.68.30 \(\int \frac {15+60 e^{1-4 x}}{-100+75 e^2-75 x+(-40+30 e^2-30 x) \log (5)+(-4+3 e^2-3 x) \log ^2(5)+e^{1-4 x} (75+30 \log (5)+3 \log ^2(5))+(-40+30 e^2-30 x+(-8+6 e^2-6 x) \log (5)+e^{1-4 x} (30+6 \log (5))) \log (-4+3 e^2+3 e^{1-4 x}-3 x)+(-4+3 e^2+3 e^{1-4 x}-3 x) \log ^2(-4+3 e^2+3 e^{1-4 x}-3 x)} \, dx\)
  3.68.31 \(\int \frac {30 x+e^{-6+2 e^x} (2-64 e^x x)-64 \log (x)+2 \log ^2(x)+e^{-3+e^x} (-64+(4-64 e^x x) \log (x))}{e^{-102+34 e^x}-x^{17}+34 e^{-99+33 e^x} \log (x)+17 x^{16} \log ^2(x)-136 x^{15} \log ^4(x)+680 x^{14} \log ^6(x)-2380 x^{13} \log ^8(x)+6188 x^{12} \log ^{10}(x)-12376 x^{11} \log ^{12}(x)+19448 x^{10} \log ^{14}(x)-24310 x^9 \log ^{16}(x)+24310 x^8 \log ^{18}(x)-19448 x^7 \log ^{20}(x)+12376 x^6 \log ^{22}(x)-6188 x^5 \log ^{24}(x)+2380 x^4 \log ^{26}(x)-680 x^3 \log ^{28}(x)+136 x^2 \log ^{30}(x)-17 x \log ^{32}(x)+\log ^{34}(x)+e^{-96+32 e^x} (-17 x+561 \log ^2(x))+e^{-93+31 e^x} (-544 x \log (x)+5984 \log ^3(x))+e^{-90+30 e^x} (136 x^2-8432 x \log ^2(x)+46376 \log ^4(x))+e^{-87+29 e^x} (4080 x^2 \log (x)-84320 x \log ^3(x)+278256 \log ^5(x))+e^{-84+28 e^x} (-680 x^3+59160 x^2 \log ^2(x)-611320 x \log ^4(x)+1344904 \log ^6(x))+e^{-81+27 e^x} (-19040 x^3 \log (x)+552160 x^2 \log ^3(x)-3423392 x \log ^5(x)+5379616 \log ^7(x))+e^{-78+26 e^x} (2380 x^4-257040 x^3 \log ^2(x)+3727080 x^2 \log ^4(x)-15405264 x \log ^6(x)+18156204 \log ^8(x))+e^{-75+25 e^x} (61880 x^4 \log (x)-2227680 x^3 \log ^3(x)+19380816 x^2 \log ^5(x)-57219552 x \log ^7(x)+52451256 \log ^9(x))+e^{-72+24 e^x} (-6188 x^5+773500 x^4 \log ^2(x)-13923000 x^3 \log ^4(x)+80753400 x^2 \log ^6(x)-178811100 x \log ^8(x)+131128140 \log ^{10}(x))+e^{-69+23 e^x} (-148512 x^5 \log (x)+6188000 x^4 \log ^3(x)-66830400 x^3 \log ^5(x)+276868800 x^2 \log ^7(x)-476829600 x \log ^9(x)+286097760 \log ^{11}(x))+e^{-66+22 e^x} (12376 x^6-1707888 x^5 \log ^2(x)+35581000 x^4 \log ^4(x)-256183200 x^3 \log ^6(x)+795997800 x^2 \log ^8(x)-1096708080 x \log ^{10}(x)+548354040 \log ^{12}(x))+e^{-63+21 e^x} (272272 x^6 \log (x)-12524512 x^5 \log ^3(x)+156556400 x^4 \log ^5(x)-805147200 x^3 \log ^7(x)+1945772400 x^2 \log ^9(x)-2193416160 x \log ^{11}(x)+927983760 \log ^{13}(x))+e^{-60+20 e^x} (-19448 x^7+2858856 x^6 \log ^2(x)-65753688 x^5 \log ^4(x)+547947400 x^4 \log ^6(x)-2113511400 x^3 \log ^8(x)+4086122040 x^2 \log ^{10}(x)-3838478280 x \log ^{12}(x)+1391975640 \log ^{14}(x))+e^{-57+19 e^x} (-388960 x^7 \log (x)+19059040 x^6 \log ^3(x)-263014752 x^5 \log ^5(x)+1565564000 x^4 \log ^7(x)-4696692000 x^3 \log ^9(x)+7429312800 x^2 \log ^{11}(x)-5905351200 x \log ^{13}(x)+1855967520 \log ^{15}(x))+e^{-54+18 e^x} (24310 x^8-3695120 x^7 \log ^2(x)+90530440 x^6 \log ^4(x)-832880048 x^5 \log ^6(x)+3718214500 x^4 \log ^8(x)-8923714800 x^3 \log ^{10}(x)+11763078600 x^2 \log ^{12}(x)-8014405200 x \log ^{14}(x)+2203961430 \log ^{16}(x))+e^{-51+17 e^x} (437580 x^8 \log (x)-22170720 x^7 \log ^3(x)+325909584 x^6 \log ^5(x)-2141691552 x^5 \log ^7(x)+7436429000 x^4 \log ^9(x)-14602442400 x^3 \log ^{11}(x)+16287339600 x^2 \log ^{13}(x)-9617286240 x \log ^{15}(x)+2333606220 \log ^{17}(x))+e^{-48+16 e^x} (-24310 x^9+3719430 x^8 \log ^2(x)-94225560 x^7 \log ^4(x)+923410488 x^6 \log ^6(x)-4551094548 x^5 \log ^8(x)+12641929300 x^4 \log ^{10}(x)-20686793400 x^3 \log ^{12}(x)+19777483800 x^2 \log ^{14}(x)-10218366630 x \log ^{16}(x)+2203961430 \log ^{18}(x))+e^{-45+15 e^x} (-388960 x^9 \log (x)+19836960 x^8 \log ^3(x)-301521792 x^7 \log ^5(x)+2110652544 x^6 \log ^7(x)-8090834752 x^5 \log ^9(x)+18388260800 x^4 \log ^{11}(x)-25460668800 x^3 \log ^{13}(x)+21095982720 x^2 \log ^{15}(x)-9617286240 x \log ^{17}(x)+1855967520 \log ^{19}(x))+e^{-42+14 e^x} (19448 x^{10}-2917200 x^9 \log ^2(x)+74388600 x^8 \log ^4(x)-753804480 x^7 \log ^6(x)+3957473520 x^6 \log ^8(x)-12136252128 x^5 \log ^{10}(x)+22985326000 x^4 \log ^{12}(x)-27279288000 x^3 \log ^{14}(x)+19777483800 x^2 \log ^{16}(x)-8014405200 x \log ^{18}(x)+1391975640 \log ^{20}(x))+e^{-39+13 e^x} (272272 x^{10} \log (x)-13613600 x^9 \log ^3(x)+208288080 x^8 \log ^5(x)-1507608960 x^7 \log ^7(x)+6156069920 x^6 \log ^9(x)-15446139072 x^5 \log ^{11}(x)+24753428000 x^4 \log ^{13}(x)-25460668800 x^3 \log ^{15}(x)+16287339600 x^2 \log ^{17}(x)-5905351200 x \log ^{19}(x)+927983760 \log ^{21}(x))+e^{-36+12 e^x} (-12376 x^{11}+1769768 x^{10} \log ^2(x)-44244200 x^9 \log ^4(x)+451290840 x^8 \log ^6(x)-2449864560 x^7 \log ^8(x)+8002890896 x^6 \log ^{10}(x)-16733317328 x^5 \log ^{12}(x)+22985326000 x^4 \log ^{14}(x)-20686793400 x^3 \log ^{16}(x)+11763078600 x^2 \log ^{18}(x)-3838478280 x \log ^{20}(x)+548354040 \log ^{22}(x))+e^{-33+11 e^x} (-148512 x^{11} \log (x)+7079072 x^{10} \log ^3(x)-106186080 x^9 \log ^5(x)+773641440 x^8 \log ^7(x)-3266486080 x^7 \log ^9(x)+8730426432 x^6 \log ^{11}(x)-15446139072 x^5 \log ^{13}(x)+18388260800 x^4 \log ^{15}(x)-14602442400 x^3 \log ^{17}(x)+7429312800 x^2 \log ^{19}(x)-2193416160 x \log ^{21}(x)+286097760 \log ^{23}(x))+e^{-30+10 e^x} (6188 x^{12}-816816 x^{11} \log ^2(x)+19467448 x^{10} \log ^4(x)-194674480 x^9 \log ^6(x)+1063756980 x^8 \log ^8(x)-3593134688 x^7 \log ^{10}(x)+8002890896 x^6 \log ^{12}(x)-12136252128 x^5 \log ^{14}(x)+12641929300 x^4 \log ^{16}(x)-8923714800 x^3 \log ^{18}(x)+4086122040 x^2 \log ^{20}(x)-1096708080 x \log ^{22}(x)+131128140 \log ^{24}(x))+e^{-27+9 e^x} (61880 x^{12} \log (x)-2722720 x^{11} \log ^3(x)+38934896 x^{10} \log ^5(x)-278106400 x^9 \log ^7(x)+1181952200 x^8 \log ^9(x)-3266486080 x^7 \log ^{11}(x)+6156069920 x^6 \log ^{13}(x)-8090834752 x^5 \log ^{15}(x)+7436429000 x^4 \log ^{17}(x)-4696692000 x^3 \log ^{19}(x)+1945772400 x^2 \log ^{21}(x)-476829600 x \log ^{23}(x)+52451256 \log ^{25}(x))+e^{-24+8 e^x} (-2380 x^{13}+278460 x^{12} \log ^2(x)-6126120 x^{11} \log ^4(x)+58402344 x^{10} \log ^6(x)-312869700 x^9 \log ^8(x)+1063756980 x^8 \log ^{10}(x)-2449864560 x^7 \log ^{12}(x)+3957473520 x^6 \log ^{14}(x)-4551094548 x^5 \log ^{16}(x)+3718214500 x^4 \log ^{18}(x)-2113511400 x^3 \log ^{20}(x)+795997800 x^2 \log ^{22}(x)-178811100 x \log ^{24}(x)+18156204 \log ^{26}(x))+e^{-21+7 e^x} (-19040 x^{13} \log (x)+742560 x^{12} \log ^3(x)-9801792 x^{11} \log ^5(x)+66745536 x^{10} \log ^7(x)-278106400 x^9 \log ^9(x)+773641440 x^8 \log ^{11}(x)-1507608960 x^7 \log ^{13}(x)+2110652544 x^6 \log ^{15}(x)-2141691552 x^5 \log ^{17}(x)+1565564000 x^4 \log ^{19}(x)-805147200 x^3 \log ^{21}(x)+276868800 x^2 \log ^{23}(x)-57219552 x \log ^{25}(x)+5379616 \log ^{27}(x))+e^{-18+6 e^x} (680 x^{14}-66640 x^{13} \log ^2(x)+1299480 x^{12} \log ^4(x)-11435424 x^{11} \log ^6(x)+58402344 x^{10} \log ^8(x)-194674480 x^9 \log ^{10}(x)+451290840 x^8 \log ^{12}(x)-753804480 x^7 \log ^{14}(x)+923410488 x^6 \log ^{16}(x)-832880048 x^5 \log ^{18}(x)+547947400 x^4 \log ^{20}(x)-256183200 x^3 \log ^{22}(x)+80753400 x^2 \log ^{24}(x)-15405264 x \log ^{26}(x)+1344904 \log ^{28}(x))+e^{-15+5 e^x} (4080 x^{14} \log (x)-133280 x^{13} \log ^3(x)+1559376 x^{12} \log ^5(x)-9801792 x^{11} \log ^7(x)+38934896 x^{10} \log ^9(x)-106186080 x^9 \log ^{11}(x)+208288080 x^8 \log ^{13}(x)-301521792 x^7 \log ^{15}(x)+325909584 x^6 \log ^{17}(x)-263014752 x^5 \log ^{19}(x)+156556400 x^4 \log ^{21}(x)-66830400 x^3 \log ^{23}(x)+19380816 x^2 \log ^{25}(x)-3423392 x \log ^{27}(x)+278256 \log ^{29}(x))+e^{-12+4 e^x} (-136 x^{15}+10200 x^{14} \log ^2(x)-166600 x^{13} \log ^4(x)+1299480 x^{12} \log ^6(x)-6126120 x^{11} \log ^8(x)+19467448 x^{10} \log ^{10}(x)-44244200 x^9 \log ^{12}(x)+74388600 x^8 \log ^{14}(x)-94225560 x^7 \log ^{16}(x)+90530440 x^6 \log ^{18}(x)-65753688 x^5 \log ^{20}(x)+35581000 x^4 \log ^{22}(x)-13923000 x^3 \log ^{24}(x)+3727080 x^2 \log ^{26}(x)-611320 x \log ^{28}(x)+46376 \log ^{30}(x))+e^{-9+3 e^x} (-544 x^{15} \log (x)+13600 x^{14} \log ^3(x)-133280 x^{13} \log ^5(x)+742560 x^{12} \log ^7(x)-2722720 x^{11} \log ^9(x)+7079072 x^{10} \log ^{11}(x)-13613600 x^9 \log ^{13}(x)+19836960 x^8 \log ^{15}(x)-22170720 x^7 \log ^{17}(x)+19059040 x^6 \log ^{19}(x)-12524512 x^5 \log ^{21}(x)+6188000 x^4 \log ^{23}(x)-2227680 x^3 \log ^{25}(x)+552160 x^2 \log ^{27}(x)-84320 x \log ^{29}(x)+5984 \log ^{31}(x))+e^{-6+2 e^x} (17 x^{16}-816 x^{15} \log ^2(x)+10200 x^{14} \log ^4(x)-66640 x^{13} \log ^6(x)+278460 x^{12} \log ^8(x)-816816 x^{11} \log ^{10}(x)+1769768 x^{10} \log ^{12}(x)-2917200 x^9 \log ^{14}(x)+3719430 x^8 \log ^{16}(x)-3695120 x^7 \log ^{18}(x)+2858856 x^6 \log ^{20}(x)-1707888 x^5 \log ^{22}(x)+773500 x^4 \log ^{24}(x)-257040 x^3 \log ^{26}(x)+59160 x^2 \log ^{28}(x)-8432 x \log ^{30}(x)+561 \log ^{32}(x))+e^{-3+e^x} (34 x^{16} \log (x)-544 x^{15} \log ^3(x)+4080 x^{14} \log ^5(x)-19040 x^{13} \log ^7(x)+61880 x^{12} \log ^9(x)-148512 x^{11} \log ^{11}(x)+272272 x^{10} \log ^{13}(x)-388960 x^9 \log ^{15}(x)+437580 x^8 \log ^{17}(x)-388960 x^7 \log ^{19}(x)+272272 x^6 \log ^{21}(x)-148512 x^5 \log ^{23}(x)+61880 x^4 \log ^{25}(x)-19040 x^3 \log ^{27}(x)+4080 x^2 \log ^{29}(x)-544 x \log ^{31}(x)+34 \log ^{33}(x))} \, dx\)
  3.68.32 \(\int -\frac {4}{(1+2 x+x^2) \log (\log (5 \log (6)))} \, dx\)
  3.68.33 \(\int (-3+2 x+\log (\frac {9}{4 x^2})) \, dx\)
  3.68.34 \(\int \frac {-16 x^2+16 x^3+(12 x^2+4 x^3) \log (x \log (4))+8 x^2 \log ^2(x \log (4))+(-2+4 x+x^2-4 x^3+2 x^4) \log ^3(x \log (4))}{(-2 x+6 x^2-6 x^3+2 x^4) \log ^3(x \log (4))} \, dx\)
  3.68.35 \(\int \frac {1}{5} e^{-6 x/5} (-75-18 x+e^{2 x} (25+4 x)) \, dx\)
  3.68.36 \(\int \frac {-4 x^9+8 x^9 \log (x)+(4 x^5+8 x^7) \log ^2(x)-12 x^7 \log ^3(x)+(-4 x^3-4 x^5) \log ^4(x)+4 x^5 \log ^5(x)+(-4 x^7+8 x^7 \log (x)+4 x^5 \log ^2(x)-12 x^5 \log ^3(x)+4 x^3 \log ^5(x)) \log (x^2)+(-6 x^7 \log (x)+12 x^7 \log ^2(x)+(4 x^3+6 x^5) \log ^3(x)-8 x^5 \log ^4(x)+(-6 x^5 \log (x)+12 x^5 \log ^2(x)+2 x^3 \log ^3(x)-8 x^3 \log ^4(x)) \log (x^2)) \log (x^2+\log (x^2))+(-2 x^5 \log ^2(x)+4 x^5 \log ^3(x)+(-2 x^3 \log ^2(x)+4 x^3 \log ^3(x)) \log (x^2)) \log ^2(x^2+\log (x^2))}{x^2 \log ^5(x)+\log ^5(x) \log (x^2)} \, dx\)
  3.68.37 \(\int \frac {201326592 e^{-1+4 e^{-1+3 x}+3 x}+64 x^3-256 e^3 x^3+384 e^6 x^3-256 e^9 x^3+64 e^{12} x^3+e^{3 e^{-1+3 x}} (2097152-2097152 e^3+e^{-1+3 x} (18874368 x-18874368 e^3 x))+e^{2 e^{-1+3 x}} (196608 x-393216 e^3 x+196608 e^6 x+e^{-1+3 x} (589824 x^2-1179648 e^3 x^2+589824 e^6 x^2))+e^{e^{-1+3 x}} (6144 x^2-18432 e^3 x^2+18432 e^6 x^2-6144 e^9 x^2+e^{-1+3 x} (6144 x^3-18432 e^3 x^3+18432 e^6 x^3-6144 e^9 x^3))}{1-4 e^3+6 e^6-4 e^9+e^{12}} \, dx\)
  3.68.38 \(\int \frac {-1+4 x-2 x^2+(-6 x+6 x^2+8 x^3-4 x^4) \log (3)+(-1+x+(-3 x+2 x^3) \log (3)) \log (x-x^2+(3 x^2-2 x^4) \log (3))}{(x^2-x^3+(3 x^3-2 x^5) \log (3)+(-x+x^2+(-3 x^2+2 x^4) \log (3)) \log (x-x^2+(3 x^2-2 x^4) \log (3))) \log (x^2-x \log (x-x^2+(3 x^2-2 x^4) \log (3)))} \, dx\)
  3.68.39 \(\int \frac {108-180 x+180 x^2-84 x^3+12 x^4+e^5 (-36+72 x-60 x^2+24 x^3-4 x^4)+e^5 (18-36 x+30 x^2-12 x^3+2 x^4) \log (2)}{27 x-54 x^2+45 x^3-18 x^4+3 x^5} \, dx\)
  3.68.40 \(\int e^{-e^{x^3}} (e^{20 e^{400-e^{x^3}-39 x+x^2}} (-120 e^{400-39 x+x^2+x^3} x^2+e^{400-39 x+x^2} (-1560+80 x))+e^{40 e^{400-e^{x^3}-39 x+x^2}} (-120 e^{400-39 x+x^2+x^3} x^2+e^{400-39 x+x^2} (-1560+80 x))) \, dx\)
  3.68.41 \(\int \frac {e^{x^4 \log ^2(\frac {\sqrt [5]{\frac {1}{x}}+x^2-x^3}{-x+x^2})} ((-10 x^5+20 x^6-10 x^7+\sqrt [5]{\frac {1}{x}} (12 x^3-22 x^4)) \log (\frac {\sqrt [5]{\frac {1}{x}}+x^2-x^3}{-x+x^2})+(-20 x^5+40 x^6-20 x^7+\sqrt [5]{\frac {1}{x}} (-20 x^3+20 x^4)) \log ^2(\frac {\sqrt [5]{\frac {1}{x}}+x^2-x^3}{-x+x^2}))}{-5 x^2+10 x^3-5 x^4+\sqrt [5]{\frac {1}{x}} (-5+5 x)} \, dx\)
  3.68.42 \(\int \frac {20+25 e^x+5 x}{e^x+x} \, dx\)
  3.68.43 \(\int (-2+e^{1+2 x+x^2} (-2-4 x-4 x^2)) \, dx\)
  3.68.44 \(\int \frac {48 x^2+e^3 (80 x-24 x^2)+e^6 (25-20 x+3 x^2)+(e^3 (40-16 x)+64 x) \log (4)+16 \log ^2(4)+e^{9+e^{x^2}} (-24 x^2+e^3 (-20 x+6 x^2)+(-32 x+e^3 (-10+4 x)) \log (4)-8 \log ^2(4)+e^{x^2} (-16 x^4+e^3 (-20 x^3+4 x^4)+(-32 x^3+e^3 (-20 x^2+4 x^3)) \log (4)-16 x^2 \log ^2(4)))+e^{18+2 e^{x^2}} (3 x^2+4 x \log (4)+\log ^2(4)+e^{x^2} (4 x^4+8 x^3 \log (4)+4 x^2 \log ^2(4)))}{e^6} \, dx\)
  3.68.45 \(\int \frac {e^{\frac {15-3 x^2+x \log (\frac {1}{16} (16+8 e^x x+e^{2 x} x^2))}{3 x}} (-60-12 x^2+e^x (-15 x+2 x^2-x^3))}{12 x^2+3 e^x x^3} \, dx\)
  3.68.46 \(\int \frac {e^{-x} (e^{3-x} (1+2 x)+e^x (x^2+e^4 x^2))}{x^2} \, dx\)
  3.68.47 \(\int \frac {e^{\frac {-12+28 x+11 x^2}{12 x}} (12+11 x^2)}{12 x^2} \, dx\)
  3.68.48 \(\int \frac {e^{-\frac {e^{16}}{x}-\frac {6 e^{-\frac {e^{16}}{x}}}{x}} (-24 e^{16} x+24 x^2+2 e^{8+\frac {e^{16}}{x}+\frac {6 e^{-\frac {e^{16}}{x}}}{x}+2 x} x^2+8 e^{\frac {e^{16}}{x}} x^3+e^{\frac {3 e^{-\frac {e^{16}}{x}}}{x}} (e^{4+x} (-12 e^{16}+12 x)+e^{4+\frac {e^{16}}{x}+x} (4 x^2+4 x^3)))}{x^2} \, dx\)
  3.68.49 \(\int \frac {75+58 x+10 x^2}{20+5 x} \, dx\)
  3.68.50 \(\int \frac {-3+e^{-7+2 x-2 x^3} (1-2 x+6 x^3)}{9+e^{-14+4 x-4 x^3}-6 e^{-7+2 x-2 x^3}} \, dx\)
  3.68.51 \(\int \frac {-34-8 x-x^2+e^5 (16+8 x+x^2)}{-16-8 x-x^2+e^5 (16+8 x+x^2)} \, dx\)
  3.68.52 \(\int \frac {-1-x+e^{3+2 x+4 e^{2 x} x^2} (40 x^2+40 x^3)-\log (4)+x \log (\frac {5}{x})}{5 x} \, dx\)
  3.68.53 \(\int \frac {2+3 x}{1+x} \, dx\)
  3.68.54 \(\int \frac {225-225 \log (x)-\log ^2(x)}{50625 e x^2+450 e x^2 \log (x)+e x^2 \log ^2(x)} \, dx\)
  3.68.55 \(\int \frac {e^{\frac {1+5 x+x^2+e^x (5+x)+(e^x+x) \log (x)}{e^x+x}} (e^{2 x} (2+2 x) \log (3)+e^x (2 x+4 x^2) \log (3)+(-2 x+2 x^2+2 x^3) \log (3))}{3 e^{2 x} x+6 e^x x^2+3 x^3} \, dx\)
  3.68.56 \(\int \frac {20-3 x^2+8 x^3+(20-32 x+3 x^2-4 x^3) \log (\frac {-20+32 x-3 x^2+4 x^3}{4 x})}{-20 x^2+32 x^3-3 x^4+4 x^5} \, dx\)
  3.68.57 \(\int \frac {-12 e^2-24 x \log (3)}{\log (3)} \, dx\)
  3.68.58 \(\int \frac {x+(4+8 x) \log (\frac {2+4 x}{x})}{(16+32 x) \log (\frac {2+4 x}{x})+(8 x+16 x^2) \log (\frac {2+4 x}{x}) \log (\log (\frac {2+4 x}{x}))+(x^2+2 x^3) \log (\frac {2+4 x}{x}) \log ^2(\log (\frac {2+4 x}{x}))} \, dx\)
  3.68.59 \(\int -\frac {4 e^{16}}{(5+5 x) \log ^2(-1-x)} \, dx\)
  3.68.60 \(\int \frac {e^{-x} (-1461+852 x+37 x^2-26 x^3-2 x^4+e^2 (324-9 x-14 x^2-x^3))}{81+18 x+x^2} \, dx\)
  3.68.61 \(\int \frac {e^{10} (-4-3 x)-e^{10} x \log (\log (3))+(e^{10} (5+15 x)+5 e^{10} x \log (\log (3))) \log (\frac {1+3 x+x \log (\log (3))}{x})+(e^{10} (-4-12 x)-4 e^{10} x \log (\log (3))) \log ^2(\frac {1+3 x+x \log (\log (3))}{x})}{x^2+3 x^3+x^3 \log (\log (3))+(-8 x^2-24 x^3-8 x^3 \log (\log (3))) \log (\frac {1+3 x+x \log (\log (3))}{x})+(16 x^2+48 x^3+16 x^3 \log (\log (3))) \log ^2(\frac {1+3 x+x \log (\log (3))}{x})} \, dx\)
  3.68.62 \(\int \frac {1}{875} (-500-240 x+e^{\frac {2}{25} (4 x^2-4 x^3+x^4)} (80 x-120 x^2+40 x^3)+e^{\frac {1}{25} (4 x^2-4 x^3+x^4)} (50+16 x^2-24 x^3+8 x^4)) \, dx\)
  3.68.63 \(\int \frac {e^{\frac {e^2 (20 x-21 x^2+x^3)+e^2 (-20+x) \log (x)}{-97+4 x}} (e^2 (1940-2117 x+4078 x^2-375 x^3+8 x^4)-17 e^2 x \log (x))}{9409 x-776 x^2+16 x^3} \, dx\)
  3.68.64 \(\int \frac {e^x (3+3 x)+e^{x-2 e x+2 e^4 x} (-x^2+x^3+2 e x^3-2 e^4 x^3)}{9+6 e^{-2 e x+2 e^4 x} x^2+e^{-4 e x+4 e^4 x} x^4} \, dx\)
  3.68.65 \(\int \frac {-36-703125 x^3 \log ^5(x)}{15625 x \log ^5(x)} \, dx\)
  3.68.66 \(\int \frac {-8 e^{e^6}-32 x^2+(64 e x-64 x^2) \log (-e+x)}{e-x} \, dx\)
  3.68.67 \(\int \frac {e^{\frac {x}{2-x+\log (2)}} (-2 x-x \log (2))+\frac {e^{450+\frac {x}{2-x+\log (2)}+50 \log ^2(x^2)} (-2 x-x \log (2))}{x^{600}}+\frac {e^{225+25 \log ^2(x^2)} (600-600 x+150 x^2+(600-300 x) \log (2)+150 \log ^2(2)+e^{\frac {x}{2-x+\log (2)}} (4 x+2 x \log (2))+(-200+200 x-50 x^2+(-200+100 x) \log (2)-50 \log ^2(2)) \log (x^2))}{x^{300}}}{4 x-4 x^2+x^3+(4 x-2 x^2) \log (2)+x \log ^2(2)+\frac {e^{225+25 \log ^2(x^2)} (-8 x+8 x^2-2 x^3+(-8 x+4 x^2) \log (2)-2 x \log ^2(2))}{x^{300}}+\frac {e^{450+50 \log ^2(x^2)} (4 x-4 x^2+x^3+(4 x-2 x^2) \log (2)+x \log ^2(2))}{x^{600}}} \, dx\)
  3.68.68 \(\int (-120+32 x+(-360 x-36 x^2+64 x^3) \log (3)+(144 x^3+120 x^4+24 x^5) \log ^2(3)) \, dx\)
  3.68.69 \(\int (50-10 e^{1+2 x}) \, dx\)
  3.68.70 \(\int \frac {(4 x-10 x^2+6 x^3) \log ^2(x)+e^{\frac {-x+x^2+5 \log (x)}{(-1+x) \log (x)}} (-x+2 x^2-x^3+(x-2 x^2+x^3) \log (x)+(1-8 x+2 x^2) \log ^2(x))}{(-1+x) \log ^2(x)} \, dx\)
  3.68.71 \(\int \frac {1-x}{(x^2+x \log (\frac {4}{x})) \log (x+\log (\frac {4}{x}))+(2 x^2+2 x \log (\frac {4}{x})) \log ^2(x+\log (\frac {4}{x}))} \, dx\)
  3.68.72 \(\int \frac {(-3+x) \log (3-x)+\frac {e^{e^{e^5}+\frac {e^{e^{e^5}} (e^3+x)}{\log (3-x)}} (-e^3 x-x^2+(-3 x+x^2) \log (3-x))}{\log (3-x)}}{(-3 x+x^2) \log (3-x)} \, dx\)
  3.68.73 \(\int \frac {e^{-x} (e^x (1-x) \log (-1+x)+e^x (-1+x) \log (-1+x) \log (x)+4^{4 e^{-x}} (e^x (-1+x)+e^x (1-x) \log (x))+(e^x x \log (x)+4^{4 e^{-x}} (-4 x+4 x^2) \log (4) \log (x)) \log (\frac {2 x}{\log (x)}))}{(-x+x^2) \log (x)} \, dx\)
  3.68.74 \(\int \frac {e^{x+x \log (16)} (-5-5 \log (16))}{1-2 e^{x+x \log (16)}+e^{2 x+2 x \log (16)}} \, dx\)
  3.68.75 \(\int \frac {-\frac {1}{x^2}-8 e^x x}{8 x} \, dx\)
  3.68.76 \(\int \frac {10}{x} \, dx\)
  3.68.77 \(\int \frac {1}{9} e^{\frac {1}{9} (-144-2 x^2-e^{e^x} (72+x^2))} (-8 x+e^{e^x} (-4 x+e^x (-144-2 x^2))) \, dx\)
  3.68.78 \(\int \frac {(e^5 x^2+e^5 x \log (8)) \log (-12 x^2-12 x \log (8))+(-16 x-4 x^2+(-8-2 x) \log (8)+(8 x+2 x^2+(8+2 x) \log (8)) \log (-12 x^2-12 x \log (8))) \log (\frac {x}{\log (-12 x^2-12 x \log (8))})+(x^2+x \log (8)) \log (-12 x^2-12 x \log (8)) \log ^2(\frac {x}{\log (-12 x^2-12 x \log (8))})}{(x^2+x \log (8)) \log (-12 x^2-12 x \log (8))} \, dx\)
  3.68.79 \(\int \frac {3 x+3 x^2+(9+12 x+3 x^2) \log (3+x)+(-6 x^2-2 x^3) \log (3+x) \log (x \log (3+x))+(-9+6 x+3 x^2) \log (3+x) \log (x \log (3+x)) \log (\log (x \log (3+x)))}{(-12 x^2-16 x^3-4 x^4) \log (3+x) \log (x \log (3+x))+(36 x+48 x^2+12 x^3) \log (3+x) \log (x \log (3+x)) \log (\log (x \log (3+x)))} \, dx\)
  3.68.80 \(\int \frac {47+(10+47 x) \log (\frac {1}{2} (10+47 x)) \log (\frac {2}{\log (\frac {1}{2} (10+47 x))})}{(10 x^2+47 x^3) \log (\frac {1}{2} (10+47 x)) \log (\frac {2}{\log (\frac {1}{2} (10+47 x))})+(-20 x-94 x^2) \log (\frac {1}{2} (10+47 x)) \log (\frac {2}{\log (\frac {1}{2} (10+47 x))}) \log (\log (\frac {2}{\log (\frac {1}{2} (10+47 x))}))+(10+47 x) \log (\frac {1}{2} (10+47 x)) \log (\frac {2}{\log (\frac {1}{2} (10+47 x))}) \log ^2(\log (\frac {2}{\log (\frac {1}{2} (10+47 x))}))} \, dx\)
  3.68.81 \(\int \frac {(-2916 x-1458 x^2) \log (4+4 x+x^2)-108 x \log (\log (4+4 x+x^2))+(-54-27 x) \log (4+4 x+x^2) \log ^2(\log (4+4 x+x^2))}{(1458 x^4+729 x^5) \log (4+4 x+x^2)+(108 x^3+54 x^4) \log (4+4 x+x^2) \log ^2(\log (4+4 x+x^2))+(2 x^2+x^3) \log (4+4 x+x^2) \log ^4(\log (4+4 x+x^2))} \, dx\)
  3.68.82 \(\int \frac {1+2 x+x^2+e^3 (-3-7 x+4 x^2+20 x^3+15 x^4+3 x^5)+e^3 (-60-50 x-25 x^2-5 x^3) \log (3)}{3+7 x+5 x^2+x^3} \, dx\)
  3.68.83 \(\int \frac {-9 x^2+9 e^x x^2+e^{\frac {1+x^3}{x}} (-9+18 x^3)}{x^2} \, dx\)
  3.68.84 \(\int \frac {-90 e^x+e^{2 x} (-180-72 x)+(180 e^{2 x}+e^x (90+90 x)) \log (x)+(50 e^x-40 e^{2 x}) \log ^2(x)}{(25+e^x (100+40 x)+e^{2 x} (100+80 x+16 x^2)) \log ^2(x)} \, dx\)
  3.68.85 \(\int e^{7-e^{2+x}+x} \, dx\)
  3.68.86 \(\int \frac {2^{\frac {10 x}{6 \log (x)+2 e^{\frac {x^2}{e^5}} \log (x)}} (-15 \log (2)+15 \log (2) \log (x)+e^{\frac {x^2}{e^5}} (-5 \log (2)+5 \log (2) \log (x)-\frac {10 x^2 \log (2) \log (x)}{e^5}))}{9 \log ^2(x)+6 e^{\frac {x^2}{e^5}} \log ^2(x)+e^{\frac {2 x^2}{e^5}} \log ^2(x)} \, dx\)
  3.68.87 \(\int \frac {-x+\frac {e^{3-x-30 \log (5) \log (x^2)-3 \log (5) \log ^2(x^2)} (-x-60 \log (5)-12 \log (5) \log (x^2))}{26469779601696885595885078146238811314105987548828125}}{x} \, dx\)
  3.68.88 \(\int \frac {4+2 x}{4 x+x^2} \, dx\)
  3.68.89 \(\int e^{(4+x)^{x^2} (-10 x+10 x^3)} (4+x)^{-1+x^2} (-40-10 x+120 x^2+20 x^3+10 x^5+(-80 x^2-20 x^3+80 x^4+20 x^5) \log (4+x)) \, dx\)
  3.68.90 \(\int \frac {8+e^3-4 x}{12+e^3 (-5+x)+8 x-2 x^2} \, dx\)
  3.68.91 \(\int \frac {-1+(1-2 x) \log (2 x)}{x \log (2 x)} \, dx\)
  3.68.92 \(\int \frac {-40-80 e^x-40 e^{2 x}+e^{2 x+x^2} (-240+e^x (-120-240 x)-240 x)}{9+9 e^{4 x+2 x^2}-6 x+x^2+e^{2 x} (9-6 x+x^2)+e^x (18-12 x+2 x^2)+e^{2 x+x^2} (-18+6 x+e^x (-18+6 x))} \, dx\)
  3.68.93 \(\int \frac {-400 x \log (3)-e^{6-2 e^x} x \log (3)+40 e^{3-e^x} x \log (3)+e^{\frac {-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}} (20 x \log (3)+e^{3-e^x} (-x \log (3)-e^x x^2 \log (3)))+(-400 x \log (3)-e^{6-2 e^x} x \log (3)+40 e^{3-e^x} x \log (3)+e^{\frac {-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}} (400 \log (3)+e^{6-2 e^x} \log (3)-40 e^{3-e^x} \log (3))) \log (e^{\frac {-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}}-x)}{e^{\frac {-80+4 e^{3-e^x}-x}{-20+e^{3-e^x}}} (400+e^{6-2 e^x}-40 e^{3-e^x})-400 x-e^{6-2 e^x} x+40 e^{3-e^x} x} \, dx\)
  3.68.94 \(\int (-1-6 x+e^{6 x+2 x^2} (-1-6 x-4 x^2)+e^{2 x^2} (1+4 x^2)) \, dx\)
  3.68.95 \(\int \frac {-90+49 x-4 x^3}{9 e x^3} \, dx\)
  3.68.96 \(\int \frac {e^x (-5+5 x+x^2)-x^2 \log (\frac {5+x}{3})}{x^2} \, dx\)
  3.68.97 \(\int \frac {4+e^5+2 x+\frac {1}{32} e^{x+x \log (3)} (4+e^5+2 x)^5 (14+e^5+2 x+(4+e^5+2 x) \log (3))}{4+e^5+2 x} \, dx\)
  3.68.98 \(\int \frac {1}{2} e^{-2 x-\frac {1}{2} e^{-2 x} (1-x+4 e^{2 x} x)} (e^{2 x} (2-4 x)+3 x-2 x^2) \, dx\)
  3.68.99 \(\int \frac {-9+x^2+4 x^3+e^{x^2} (8 x^3+8 x^5)}{9 x+9 x^2+x^3+2 x^4+4 e^{x^2} x^4} \, dx\)
  3.68.100 \(\int \frac {1}{5} e^{-x^2} (10 e^{x^2}-10 x+e^{2 x+2 x^2} (1+2 x+2 x^2)) \, dx\)