3.8.31 \(\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)[phone] \log ^8(x))+e^{-75+25 e^x} (61880 x^4 \log (x)-2227680 x^3 \log ^3(x)[phone] x^2 \log ^5(x)-57219552 x \log ^7(x)[phone] \log ^9(x))+e^{-72+24 e^x} (-6188 x^5+773500 x^4 \log ^2(x)-13923000 x^3 \log ^4(x)[phone] x^2 \log ^6(x)-178811100 x \log ^8(x)[phone] \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)[phone] x^2 \log ^7(x)-476829600 x \log ^9(x)[phone] \log ^{11}(x))+e^{-66+22 e^x} (12376 x^6-1707888 x^5 \log ^2(x)[phone] x^4 \log ^4(x)-256183200 x^3 \log ^6(x)[phone] x^2 \log ^8(x)-1096708080 x \log ^{10}(x)[phone] \log ^{12}(x))+e^{-63+21 e^x} (272272 x^6 \log (x)-12524512 x^5 \log ^3(x)[phone] x^4 \log ^5(x)-805147200 x^3 \log ^7(x)[phone] x^2 \log ^9(x)-2193416160 x \log ^{11}(x)[phone] \log ^{13}(x))+e^{-60+20 e^x} (-19448 x^7+2858856 x^6 \log ^2(x)-65753688 x^5 \log ^4(x)[phone] x^4 \log ^6(x)-2113511400 x^3 \log ^8(x)[phone] x^2 \log ^{10}(x)-3838478280 x \log ^{12}(x)[phone] \log ^{14}(x))+e^{-57+19 e^x} (-388960 x^7 \log (x)[phone] x^6 \log ^3(x)-263014752 x^5 \log ^5(x)[phone] x^4 \log ^7(x)-4696692000 x^3 \log ^9(x)[phone] x^2 \log ^{11}(x)-5905351200 x \log ^{13}(x)[phone] \log ^{15}(x))+e^{-54+18 e^x} (24310 x^8-3695120 x^7 \log ^2(x)[phone] x^6 \log ^4(x)-832880048 x^5 \log ^6(x)[phone] x^4 \log ^8(x)-8923714800 x^3 \log ^{10}(x)[phone] x^2 \log ^{12}(x)-8014405200 x \log ^{14}(x)[phone] \log ^{16}(x))+e^{-51+17 e^x} (437580 x^8 \log (x)-22170720 x^7 \log ^3(x)[phone] x^6 \log ^5(x)-2141691552 x^5 \log ^7(x)[phone] x^4 \log ^9(x)-14602442400 x^3 \log ^{11}(x)[phone] x^2 \log ^{13}(x)-9617286240 x \log ^{15}(x)[phone] \log ^{17}(x))+e^{-48+16 e^x} (-24310 x^9+3719430 x^8 \log ^2(x)-94225560 x^7 \log ^4(x)[phone] x^6 \log ^6(x)-4551094548 x^5 \log ^8(x)[phone] x^4 \log ^{10}(x)-20686793400 x^3 \log ^{12}(x)[phone] x^2 \log ^{14}(x)-10218366630 x \log ^{16}(x)[phone] \log ^{18}(x))+e^{-45+15 e^x} (-388960 x^9 \log (x)[phone] x^8 \log ^3(x)-301521792 x^7 \log ^5(x)[phone] x^6 \log ^7(x)-8090834752 x^5 \log ^9(x)[phone] x^4 \log ^{11}(x)-25460668800 x^3 \log ^{13}(x)[phone] x^2 \log ^{15}(x)-9617286240 x \log ^{17}(x)[phone] \log ^{19}(x))+e^{-42+14 e^x} (19448 x^{10}-2917200 x^9 \log ^2(x)[phone] x^8 \log ^4(x)-753804480 x^7 \log ^6(x)[phone] x^6 \log ^8(x)-12136252128 x^5 \log ^{10}(x)[phone] x^4 \log ^{12}(x)-27279288000 x^3 \log ^{14}(x)[phone] x^2 \log ^{16}(x)-8014405200 x \log ^{18}(x)[phone] \log ^{20}(x))+e^{-39+13 e^x} (272272 x^{10} \log (x)-13613600 x^9 \log ^3(x)[phone] x^8 \log ^5(x)-1507608960 x^7 \log ^7(x)[phone] x^6 \log ^9(x)-15446139072 x^5 \log ^{11}(x)[phone] x^4 \log ^{13}(x)-25460668800 x^3 \log ^{15}(x)[phone] x^2 \log ^{17}(x)-5905351200 x \log ^{19}(x)[phone] \log ^{21}(x))+e^{-36+12 e^x} (-12376 x^{11}+1769768 x^{10} \log ^2(x)-44244200 x^9 \log ^4(x)[phone] x^8 \log ^6(x)-2449864560 x^7 \log ^8(x)[phone] x^6 \log ^{10}(x)-16733317328 x^5 \log ^{12}(x)[phone] x^4 \log ^{14}(x)-20686793400 x^3 \log ^{16}(x)[phone] x^2 \log ^{18}(x)-3838478280 x \log ^{20}(x)[phone] \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)[phone] x^8 \log ^7(x)-3266486080 x^7 \log ^9(x)[phone] x^6 \log ^{11}(x)-15446139072 x^5 \log ^{13}(x)[phone] x^4 \log ^{15}(x)-14602442400 x^3 \log ^{17}(x)[phone] x^2 \log ^{19}(x)-2193416160 x \log ^{21}(x)[phone] \log ^{23}(x))+e^{-30+10 e^x} (6188 x^{12}-816816 x^{11} \log ^2(x)[phone] x^{10} \log ^4(x)-194674480 x^9 \log ^6(x)[phone] x^8 \log ^8(x)-3593134688 x^7 \log ^{10}(x)[phone] x^6 \log ^{12}(x)-12136252128 x^5 \log ^{14}(x)[phone] x^4 \log ^{16}(x)-8923714800 x^3 \log ^{18}(x)[phone] x^2 \log ^{20}(x)-1096708080 x \log ^{22}(x)[phone] \log ^{24}(x))+e^{-27+9 e^x} (61880 x^{12} \log (x)-2722720 x^{11} \log ^3(x)[phone] x^{10} \log ^5(x)-278106400 x^9 \log ^7(x)[phone] x^8 \log ^9(x)-3266486080 x^7 \log ^{11}(x)[phone] x^6 \log ^{13}(x)-8090834752 x^5 \log ^{15}(x)[phone] x^4 \log ^{17}(x)-4696692000 x^3 \log ^{19}(x)[phone] x^2 \log ^{21}(x)-476829600 x \log ^{23}(x)[phone] \log ^{25}(x))+e^{-24+8 e^x} (-2380 x^{13}+278460 x^{12} \log ^2(x)-6126120 x^{11} \log ^4(x)[phone] x^{10} \log ^6(x)-312869700 x^9 \log ^8(x)[phone] x^8 \log ^{10}(x)-2449864560 x^7 \log ^{12}(x)[phone] x^6 \log ^{14}(x)-4551094548 x^5 \log ^{16}(x)[phone] x^4 \log ^{18}(x)-2113511400 x^3 \log ^{20}(x)[phone] x^2 \log ^{22}(x)-178811100 x \log ^{24}(x)[phone] \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)[phone] x^{10} \log ^7(x)-278106400 x^9 \log ^9(x)[phone] x^8 \log ^{11}(x)-1507608960 x^7 \log ^{13}(x)[phone] x^6 \log ^{15}(x)-2141691552 x^5 \log ^{17}(x)[phone] x^4 \log ^{19}(x)-805147200 x^3 \log ^{21}(x)[phone] 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)[phone] x^{10} \log ^8(x)-194674480 x^9 \log ^{10}(x)[phone] x^8 \log ^{12}(x)-753804480 x^7 \log ^{14}(x)[phone] x^6 \log ^{16}(x)-832880048 x^5 \log ^{18}(x)[phone] x^4 \log ^{20}(x)-256183200 x^3 \log ^{22}(x)[phone] 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)[phone] x^{10} \log ^9(x)-106186080 x^9 \log ^{11}(x)[phone] x^8 \log ^{13}(x)-301521792 x^7 \log ^{15}(x)[phone] x^6 \log ^{17}(x)-263014752 x^5 \log ^{19}(x)[phone] x^4 \log ^{21}(x)-66830400 x^3 \log ^{23}(x)[phone] 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)[phone] x^{10} \log ^{10}(x)-44244200 x^9 \log ^{12}(x)[phone] x^8 \log ^{14}(x)-94225560 x^7 \log ^{16}(x)[phone] x^6 \log ^{18}(x)-65753688 x^5 \log ^{20}(x)[phone] 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)[phone] x^8 \log ^{15}(x)-22170720 x^7 \log ^{17}(x)[phone] 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\) [731]

3.8.31.1 Optimal result

Integrand size = 3060, antiderivative size = 21 \[ \text {the integral} =\frac {2 x}{\left (-x+\left (e^{-3+e^x}+\log (x)\right )^2\right )^{16}} \]

output

2*x/((ln(x)+exp(exp(x)-3))^2-x)^16
 

3.8.31.2 Mathematica [A] (verified)

Time = 0.41 (sec) , antiderivative size = 41, normalized size of antiderivative = 1.95 \[ \text {the integral} =\frac {2 e^{96} x}{\left (e^{2 e^x}-e^6 x+2 e^{3+e^x} \log (x)+e^6 \log ^2(x)\right )^{16}} \]

input

Integrate[(30*x + E^(-6 + 2*E^x)*(2 - 64*E^x*x) - 64*Log[x] + 2*Log[x]^2 + 
 E^(-3 + E^x)*(-64 + (4 - 64*E^x*x)*Log[x]))/(E^(-102 + 34*E^x) - x^17 + 3 
4*E^(-99 + 33*E^x)*Log[x] + 17*x^16*Log[x]^2 - 136*x^15*Log[x]^4 + 680*x^1 
4*Log[x]^6 - 2380*x^13*Log[x]^8 + 6188*x^12*Log[x]^10 - 12376*x^11*Log[x]^ 
12 + 19448*x^10*Log[x]^14 - 24310*x^9*Log[x]^16 + 24310*x^8*Log[x]^18 - 19 
448*x^7*Log[x]^20 + 12376*x^6*Log[x]^22 - 6188*x^5*Log[x]^24 + 2380*x^4*Lo 
g[x]^26 - 680*x^3*Log[x]^28 + 136*x^2*Log[x]^30 - 17*x*Log[x]^32 + Log[x]^ 
34 + E^(-96 + 32*E^x)*(-17*x + 561*Log[x]^2) + E^(-93 + 31*E^x)*(-544*x*Lo 
g[x] + 5984*Log[x]^3) + E^(-90 + 30*E^x)*(136*x^2 - 8432*x*Log[x]^2 + 4637 
6*Log[x]^4) + E^(-87 + 29*E^x)*(4080*x^2*Log[x] - 84320*x*Log[x]^3 + 27825 
6*Log[x]^5) + E^(-84 + 28*E^x)*(-680*x^3 + 59160*x^2*Log[x]^2 - 611320*x*L 
og[x]^4 + 1344904*Log[x]^6) + E^(-81 + 27*E^x)*(-19040*x^3*Log[x] + 552160 
*x^2*Log[x]^3 - 3423392*x*Log[x]^5 + 5379616*Log[x]^7) + E^(-78 + 26*E^x)* 
(2380*x^4 - 257040*x^3*Log[x]^2 + 3727080*x^2*Log[x]^4 - 15405264*x*Log[x] 
^6 + 18156204*Log[x]^8) + E^(-75 + 25*E^x)*(61880*x^4*Log[x] - 2227680*x^3 
*Log[x]^3 + 19380816*x^2*Log[x]^5 - 57219552*x*Log[x]^7 + 52451256*Log[x]^ 
9) + E^(-72 + 24*E^x)*(-6188*x^5 + 773500*x^4*Log[x]^2 - 13923000*x^3*Log[ 
x]^4 + 80753400*x^2*Log[x]^6 - 178811100*x*Log[x]^8 + 131128140*Log[x]^10) 
 + E^(-69 + 23*E^x)*(-148512*x^5*Log[x] + 6188000*x^4*Log[x]^3 - 66830400* 
x^3*Log[x]^5 + 276868800*x^2*Log[x]^7 - 476829600*x*Log[x]^9 + 286097760*L 
og[x]^11) + E^(-66 + 22*E^x)*(12376*x^6 - 1707888*x^5*Log[x]^2 + 35581000* 
x^4*Log[x]^4 - 256183200*x^3*Log[x]^6 + 795997800*x^2*Log[x]^8 - 109670808 
0*x*Log[x]^10 + 548354040*Log[x]^12) + E^(-63 + 21*E^x)*(272272*x^6*Log[x] 
 - 12524512*x^5*Log[x]^3 + 156556400*x^4*Log[x]^5 - 805147200*x^3*Log[x]^7 
 + 1945772400*x^2*Log[x]^9 - 2193416160*x*Log[x]^11 + 927983760*Log[x]^13) 
 + E^(-60 + 20*E^x)*(-19448*x^7 + 2858856*x^6*Log[x]^2 - 65753688*x^5*Log[ 
x]^4 + 547947400*x^4*Log[x]^6 - 2113511400*x^3*Log[x]^8 + 4086122040*x^2*L 
og[x]^10 - 3838478280*x*Log[x]^12 + 1391975640*Log[x]^14) + E^(-57 + 19*E^ 
x)*(-388960*x^7*Log[x] + 19059040*x^6*Log[x]^3 - 263014752*x^5*Log[x]^5 + 
1565564000*x^4*Log[x]^7 - 4696692000*x^3*Log[x]^9 + 7429312800*x^2*Log[x]^ 
11 - 5905351200*x*Log[x]^13 + 1855967520*Log[x]^15) + E^(-54 + 18*E^x)*(24 
310*x^8 - 3695120*x^7*Log[x]^2 + 90530440*x^6*Log[x]^4 - 832880048*x^5*Log 
[x]^6 + 3718214500*x^4*Log[x]^8 - 8923714800*x^3*Log[x]^10 + 11763078600*x 
^2*Log[x]^12 - 8014405200*x*Log[x]^14 + 2203961430*Log[x]^16) + E^(-51 + 1 
7*E^x)*(437580*x^8*Log[x] - 22170720*x^7*Log[x]^3 + 325909584*x^6*Log[x]^5 
 - 2141691552*x^5*Log[x]^7 + 7436429000*x^4*Log[x]^9 - 14602442400*x^3*Log 
[x]^11 + 16287339600*x^2*Log[x]^13 - 9617286240*x*Log[x]^15 + 2333606220*L 
og[x]^17) + E^(-48 + 16*E^x)*(-24310*x^9 + 3719430*x^8*Log[x]^2 - 94225560 
*x^7*Log[x]^4 + 923410488*x^6*Log[x]^6 - 4551094548*x^5*Log[x]^8 + 1264192 
9300*x^4*Log[x]^10 - 20686793400*x^3*Log[x]^12 + 19777483800*x^2*Log[x]^14 
 - 10218366630*x*Log[x]^16 + 2203961430*Log[x]^18) + E^(-45 + 15*E^x)*(-38 
8960*x^9*Log[x] + 19836960*x^8*Log[x]^3 - 301521792*x^7*Log[x]^5 + 2110652 
544*x^6*Log[x]^7 - 8090834752*x^5*Log[x]^9 + 18388260800*x^4*Log[x]^11 - 2 
5460668800*x^3*Log[x]^13 + 21095982720*x^2*Log[x]^15 - 9617286240*x*Log[x] 
^17 + 1855967520*Log[x]^19) + E^(-42 + 14*E^x)*(19448*x^10 - 2917200*x^9*L 
og[x]^2 + 74388600*x^8*Log[x]^4 - 753804480*x^7*Log[x]^6 + 3957473520*x^6* 
Log[x]^8 - 12136252128*x^5*Log[x]^10 + 22985326000*x^4*Log[x]^12 - 2727928 
8000*x^3*Log[x]^14 + 19777483800*x^2*Log[x]^16 - 8014405200*x*Log[x]^18 + 
1391975640*Log[x]^20) + E^(-39 + 13*E^x)*(272272*x^10*Log[x] - 13613600*x^ 
9*Log[x]^3 + 208288080*x^8*Log[x]^5 - 1507608960*x^7*Log[x]^7 + 6156069920 
*x^6*Log[x]^9 - 15446139072*x^5*Log[x]^11 + 24753428000*x^4*Log[x]^13 - 25 
460668800*x^3*Log[x]^15 + 16287339600*x^2*Log[x]^17 - 5905351200*x*Log[x]^ 
19 + 927983760*Log[x]^21) + E^(-36 + 12*E^x)*(-12376*x^11 + 1769768*x^10*L 
og[x]^2 - 44244200*x^9*Log[x]^4 + 451290840*x^8*Log[x]^6 - 2449864560*x^7* 
Log[x]^8 + 8002890896*x^6*Log[x]^10 - 16733317328*x^5*Log[x]^12 + 22985326 
000*x^4*Log[x]^14 - 20686793400*x^3*Log[x]^16 + 11763078600*x^2*Log[x]^18 
- 3838478280*x*Log[x]^20 + 548354040*Log[x]^22) + E^(-33 + 11*E^x)*(-14851 
2*x^11*Log[x] + 7079072*x^10*Log[x]^3 - 106186080*x^9*Log[x]^5 + 773641440 
*x^8*Log[x]^7 - 3266486080*x^7*Log[x]^9 + 8730426432*x^6*Log[x]^11 - 15446 
139072*x^5*Log[x]^13 + 18388260800*x^4*Log[x]^15 - 14602442400*x^3*Log[x]^ 
17 + 7429312800*x^2*Log[x]^19 - 2193416160*x*Log[x]^21 + 286097760*Log[x]^ 
23) + E^(-30 + 10*E^x)*(6188*x^12 - 816816*x^11*Log[x]^2 + 19467448*x^10*L 
og[x]^4 - 194674480*x^9*Log[x]^6 + 1063756980*x^8*Log[x]^8 - 3593134688*x^ 
7*Log[x]^10 + 8002890896*x^6*Log[x]^12 - 12136252128*x^5*Log[x]^14 + 12641 
929300*x^4*Log[x]^16 - 8923714800*x^3*Log[x]^18 + 4086122040*x^2*Log[x]^20 
 - 1096708080*x*Log[x]^22 + 131128140*Log[x]^24) + E^(-27 + 9*E^x)*(61880* 
x^12*Log[x] - 2722720*x^11*Log[x]^3 + 38934896*x^10*Log[x]^5 - 278106400*x 
^9*Log[x]^7 + 1181952200*x^8*Log[x]^9 - 3266486080*x^7*Log[x]^11 + 6156069 
920*x^6*Log[x]^13 - 8090834752*x^5*Log[x]^15 + 7436429000*x^4*Log[x]^17 - 
4696692000*x^3*Log[x]^19 + 1945772400*x^2*Log[x]^21 - 476829600*x*Log[x]^2 
3 + 52451256*Log[x]^25) + E^(-24 + 8*E^x)*(-2380*x^13 + 278460*x^12*Log[x] 
^2 - 6126120*x^11*Log[x]^4 + 58402344*x^10*Log[x]^6 - 312869700*x^9*Log[x] 
^8 + 1063756980*x^8*Log[x]^10 - 2449864560*x^7*Log[x]^12 + 3957473520*x^6* 
Log[x]^14 - 4551094548*x^5*Log[x]^16 + 3718214500*x^4*Log[x]^18 - 21135114 
00*x^3*Log[x]^20 + 795997800*x^2*Log[x]^22 - 178811100*x*Log[x]^24 + 18156 
204*Log[x]^26) + E^(-21 + 7*E^x)*(-19040*x^13*Log[x] + 742560*x^12*Log[x]^ 
3 - 9801792*x^11*Log[x]^5 + 66745536*x^10*Log[x]^7 - 278106400*x^9*Log[x]^ 
9 + 773641440*x^8*Log[x]^11 - 1507608960*x^7*Log[x]^13 + 2110652544*x^6*Lo 
g[x]^15 - 2141691552*x^5*Log[x]^17 + 1565564000*x^4*Log[x]^19 - 805147200* 
x^3*Log[x]^21 + 276868800*x^2*Log[x]^23 - 57219552*x*Log[x]^25 + 5379616*L 
og[x]^27) + E^(-18 + 6*E^x)*(680*x^14 - 66640*x^13*Log[x]^2 + 1299480*x^12 
*Log[x]^4 - 11435424*x^11*Log[x]^6 + 58402344*x^10*Log[x]^8 - 194674480*x^ 
9*Log[x]^10 + 451290840*x^8*Log[x]^12 - 753804480*x^7*Log[x]^14 + 92341048 
8*x^6*Log[x]^16 - 832880048*x^5*Log[x]^18 + 547947400*x^4*Log[x]^20 - 2561 
83200*x^3*Log[x]^22 + 80753400*x^2*Log[x]^24 - 15405264*x*Log[x]^26 + 1344 
904*Log[x]^28) + E^(-15 + 5*E^x)*(4080*x^14*Log[x] - 133280*x^13*Log[x]^3 
+ 1559376*x^12*Log[x]^5 - 9801792*x^11*Log[x]^7 + 38934896*x^10*Log[x]^9 - 
 106186080*x^9*Log[x]^11 + 208288080*x^8*Log[x]^13 - 301521792*x^7*Log[x]^ 
15 + 325909584*x^6*Log[x]^17 - 263014752*x^5*Log[x]^19 + 156556400*x^4*Log 
[x]^21 - 66830400*x^3*Log[x]^23 + 19380816*x^2*Log[x]^25 - 3423392*x*Log[x 
]^27 + 278256*Log[x]^29) + E^(-12 + 4*E^x)*(-136*x^15 + 10200*x^14*Log[x]^ 
2 - 166600*x^13*Log[x]^4 + 1299480*x^12*Log[x]^6 - 6126120*x^11*Log[x]^8 + 
 19467448*x^10*Log[x]^10 - 44244200*x^9*Log[x]^12 + 74388600*x^8*Log[x]^14 
 - 94225560*x^7*Log[x]^16 + 90530440*x^6*Log[x]^18 - 65753688*x^5*Log[x]^2 
0 + 35581000*x^4*Log[x]^22 - 13923000*x^3*Log[x]^24 + 3727080*x^2*Log[x]^2 
6 - 611320*x*Log[x]^28 + 46376*Log[x]^30) + E^(-9 + 3*E^x)*(-544*x^15*Log[ 
x] + 13600*x^14*Log[x]^3 - 133280*x^13*Log[x]^5 + 742560*x^12*Log[x]^7 - 2 
722720*x^11*Log[x]^9 + 7079072*x^10*Log[x]^11 - 13613600*x^9*Log[x]^13 + 1 
9836960*x^8*Log[x]^15 - 22170720*x^7*Log[x]^17 + 19059040*x^6*Log[x]^19 - 
12524512*x^5*Log[x]^21 + 6188000*x^4*Log[x]^23 - 2227680*x^3*Log[x]^25 + 5 
52160*x^2*Log[x]^27 - 84320*x*Log[x]^29 + 5984*Log[x]^31) + E^(-6 + 2*E^x) 
*(17*x^16 - 816*x^15*Log[x]^2 + 10200*x^14*Log[x]^4 - 66640*x^13*Log[x]^6 
+ 278460*x^12*Log[x]^8 - 816816*x^11*Log[x]^10 + 1769768*x^10*Log[x]^12 - 
2917200*x^9*Log[x]^14 + 3719430*x^8*Log[x]^16 - 3695120*x^7*Log[x]^18 + 28 
58856*x^6*Log[x]^20 - 1707888*x^5*Log[x]^22 + 773500*x^4*Log[x]^24 - 25704 
0*x^3*Log[x]^26 + 59160*x^2*Log[x]^28 - 8432*x*Log[x]^30 + 561*Log[x]^32) 
+ E^(-3 + E^x)*(34*x^16*Log[x] - 544*x^15*Log[x]^3 + 4080*x^14*Log[x]^5 - 
19040*x^13*Log[x]^7 + 61880*x^12*Log[x]^9 - 148512*x^11*Log[x]^11 + 272272 
*x^10*Log[x]^13 - 388960*x^9*Log[x]^15 + 437580*x^8*Log[x]^17 - 388960*x^7 
*Log[x]^19 + 272272*x^6*Log[x]^21 - 148512*x^5*Log[x]^23 + 61880*x^4*Log[x 
]^25 - 19040*x^3*Log[x]^27 + 4080*x^2*Log[x]^29 - 544*x*Log[x]^31 + 34*Log 
[x]^33)),x]
 

output

(2*E^96*x)/(E^(2*E^x) - E^6*x + 2*E^(3 + E^x)*Log[x] + E^6*Log[x]^2)^16
 

3.8.31.3 Rubi [F]

Below are the steps used by Rubi to obtain the solution. The rule number used for the transformation is given above next to the arrow. The rules definitions used are listed below.

\(\displaystyle \int \frac {2 \log ^2(x)-64 \log (x)+30 x+e^{-6+2 e^x} \left (2-64 e^x x\right )+e^{-3+e^x} \left (\left (4-64 e^x x\right ) \log (x)-64\right )}{\log ^{34}(x)-17 x \log ^{32}(x)+136 x^2 \log ^{30}(x)-680 x^3 \log ^{28}(x)+2380 x^4 \log ^{26}(x)-6188 x^5 \log ^{24}(x)+12376 x^6 \log ^{22}(x)-19448 x^7 \log ^{20}(x)+24310 x^8 \log ^{18}(x)-24310 x^9 \log ^{16}(x)+19448 x^{10} \log ^{14}(x)-12376 x^{11} \log ^{12}(x)+6188 x^{12} \log ^{10}(x)-2380 x^{13} \log ^8(x)+680 x^{14} \log ^6(x)-136 x^{15} \log ^4(x)+17 x^{16} \log ^2(x)+34 e^{-99+33 e^x} \log (x)+e^{-102+34 e^x}-x^{17}+e^{-96+32 e^x} \left (561 \log ^2(x)-17 x\right )+e^{-93+31 e^x} \left (5984 \log ^3(x)-544 x \log (x)\right )+e^{-90+30 e^x} \left (46376 \log ^4(x)-8432 x \log ^2(x)+136 x^2\right )+e^{-87+29 e^x} \left (278256 \log ^5(x)-84320 x \log ^3(x)+4080 x^2 \log (x)\right )+e^{-84+28 e^x} \left (1344904 \log ^6(x)-611320 x \log ^4(x)+59160 x^2 \log ^2(x)-680 x^3\right )+e^{-81+27 e^x} \left (5379616 \log ^7(x)-3423392 x \log ^5(x)+552160 x^2 \log ^3(x)-19040 x^3 \log (x)\right )+e^{-78+26 e^x} \left (18156204 \log ^8(x)-15405264 x \log ^6(x)+3727080 x^2 \log ^4(x)-257040 x^3 \log ^2(x)+2380 x^4\right )+e^{-75+25 e^x} \left (52451256 \log ^9(x)-57219552 x \log ^7(x)[phone] x^2 \log ^5(x)-2227680 x^3 \log ^3(x)+61880 x^4 \log (x)\right )+e^{-72+24 e^x} \left (131128140 \log ^{10}(x)-178811100 x \log ^8(x)[phone] x^2 \log ^6(x)-13923000 x^3 \log ^4(x)+773500 x^4 \log ^2(x)-6188 x^5\right )+e^{-69+23 e^x} \left (286097760 \log ^{11}(x)-476829600 x \log ^9(x)[phone] x^2 \log ^7(x)-66830400 x^3 \log ^5(x)+6188000 x^4 \log ^3(x)-148512 x^5 \log (x)\right )+e^{-66+22 e^x} \left (548354040 \log ^{12}(x)-1096708080 x \log ^{10}(x)[phone] x^2 \log ^8(x)-256183200 x^3 \log ^6(x)[phone] x^4 \log ^4(x)-1707888 x^5 \log ^2(x)+12376 x^6\right )+e^{-63+21 e^x} \left (927983760 \log ^{13}(x)-2193416160 x \log ^{11}(x)[phone] x^2 \log ^9(x)-805147200 x^3 \log ^7(x)[phone] x^4 \log ^5(x)-12524512 x^5 \log ^3(x)+272272 x^6 \log (x)\right )+e^{-60+20 e^x} \left (1391975640 \log ^{14}(x)-3838478280 x \log ^{12}(x)[phone] x^2 \log ^{10}(x)-2113511400 x^3 \log ^8(x)[phone] x^4 \log ^6(x)-65753688 x^5 \log ^4(x)+2858856 x^6 \log ^2(x)-19448 x^7\right )+e^{-57+19 e^x} \left (1855967520 \log ^{15}(x)-5905351200 x \log ^{13}(x)[phone] x^2 \log ^{11}(x)-4696692000 x^3 \log ^9(x)[phone] x^4 \log ^7(x)-263014752 x^5 \log ^5(x)[phone] x^6 \log ^3(x)-388960 x^7 \log (x)\right )+e^{-54+18 e^x} \left (2203961430 \log ^{16}(x)-8014405200 x \log ^{14}(x)[phone] x^2 \log ^{12}(x)-8923714800 x^3 \log ^{10}(x)[phone] x^4 \log ^8(x)-832880048 x^5 \log ^6(x)[phone] x^6 \log ^4(x)-3695120 x^7 \log ^2(x)+24310 x^8\right )+e^{-51+17 e^x} \left (2333606220 \log ^{17}(x)-9617286240 x \log ^{15}(x)[phone] x^2 \log ^{13}(x)-14602442400 x^3 \log ^{11}(x)[phone] x^4 \log ^9(x)-2141691552 x^5 \log ^7(x)[phone] x^6 \log ^5(x)-22170720 x^7 \log ^3(x)+437580 x^8 \log (x)\right )+e^{-48+16 e^x} \left (2203961430 \log ^{18}(x)-10218366630 x \log ^{16}(x)[phone] x^2 \log ^{14}(x)-20686793400 x^3 \log ^{12}(x)[phone] x^4 \log ^{10}(x)-4551094548 x^5 \log ^8(x)[phone] x^6 \log ^6(x)-94225560 x^7 \log ^4(x)+3719430 x^8 \log ^2(x)-24310 x^9\right )+e^{-45+15 e^x} \left (1855967520 \log ^{19}(x)-9617286240 x \log ^{17}(x)[phone] x^2 \log ^{15}(x)-25460668800 x^3 \log ^{13}(x)[phone] x^4 \log ^{11}(x)-8090834752 x^5 \log ^9(x)[phone] x^6 \log ^7(x)-301521792 x^7 \log ^5(x)[phone] x^8 \log ^3(x)-388960 x^9 \log (x)\right )+e^{-42+14 e^x} \left (1391975640 \log ^{20}(x)-8014405200 x \log ^{18}(x)[phone] x^2 \log ^{16}(x)-27279288000 x^3 \log ^{14}(x)[phone] x^4 \log ^{12}(x)-12136252128 x^5 \log ^{10}(x)[phone] x^6 \log ^8(x)-753804480 x^7 \log ^6(x)[phone] x^8 \log ^4(x)-2917200 x^9 \log ^2(x)+19448 x^{10}\right )+e^{-39+13 e^x} \left (927983760 \log ^{21}(x)-5905351200 x \log ^{19}(x)[phone] x^2 \log ^{17}(x)-25460668800 x^3 \log ^{15}(x)[phone] x^4 \log ^{13}(x)-15446139072 x^5 \log ^{11}(x)[phone] x^6 \log ^9(x)-1507608960 x^7 \log ^7(x)[phone] x^8 \log ^5(x)-13613600 x^9 \log ^3(x)+272272 x^{10} \log (x)\right )+e^{-36+12 e^x} \left (548354040 \log ^{22}(x)-3838478280 x \log ^{20}(x)[phone] x^2 \log ^{18}(x)-20686793400 x^3 \log ^{16}(x)[phone] x^4 \log ^{14}(x)-16733317328 x^5 \log ^{12}(x)[phone] x^6 \log ^{10}(x)-2449864560 x^7 \log ^8(x)[phone] x^8 \log ^6(x)-44244200 x^9 \log ^4(x)+1769768 x^{10} \log ^2(x)-12376 x^{11}\right )+e^{-33+11 e^x} \left (286097760 \log ^{23}(x)-2193416160 x \log ^{21}(x)[phone] x^2 \log ^{19}(x)-14602442400 x^3 \log ^{17}(x)[phone] x^4 \log ^{15}(x)-15446139072 x^5 \log ^{13}(x)[phone] x^6 \log ^{11}(x)-3266486080 x^7 \log ^9(x)[phone] x^8 \log ^7(x)-106186080 x^9 \log ^5(x)+7079072 x^{10} \log ^3(x)-148512 x^{11} \log (x)\right )+e^{-30+10 e^x} \left (131128140 \log ^{24}(x)-1096708080 x \log ^{22}(x)[phone] x^2 \log ^{20}(x)-8923714800 x^3 \log ^{18}(x)[phone] x^4 \log ^{16}(x)-12136252128 x^5 \log ^{14}(x)[phone] x^6 \log ^{12}(x)-3593134688 x^7 \log ^{10}(x)[phone] x^8 \log ^8(x)-194674480 x^9 \log ^6(x)[phone] x^{10} \log ^4(x)-816816 x^{11} \log ^2(x)+6188 x^{12}\right )+e^{-27+9 e^x} \left (52451256 \log ^{25}(x)-476829600 x \log ^{23}(x)[phone] x^2 \log ^{21}(x)-4696692000 x^3 \log ^{19}(x)[phone] x^4 \log ^{17}(x)-8090834752 x^5 \log ^{15}(x)[phone] x^6 \log ^{13}(x)-3266486080 x^7 \log ^{11}(x)[phone] x^8 \log ^9(x)-278106400 x^9 \log ^7(x)[phone] x^{10} \log ^5(x)-2722720 x^{11} \log ^3(x)+61880 x^{12} \log (x)\right )+e^{-24+8 e^x} \left (18156204 \log ^{26}(x)-178811100 x \log ^{24}(x)[phone] x^2 \log ^{22}(x)-2113511400 x^3 \log ^{20}(x)[phone] x^4 \log ^{18}(x)-4551094548 x^5 \log ^{16}(x)[phone] x^6 \log ^{14}(x)-2449864560 x^7 \log ^{12}(x)[phone] x^8 \log ^{10}(x)-312869700 x^9 \log ^8(x)[phone] x^{10} \log ^6(x)-6126120 x^{11} \log ^4(x)+278460 x^{12} \log ^2(x)-2380 x^{13}\right )+e^{-21+7 e^x} \left (5379616 \log ^{27}(x)-57219552 x \log ^{25}(x)[phone] x^2 \log ^{23}(x)-805147200 x^3 \log ^{21}(x)[phone] x^4 \log ^{19}(x)-2141691552 x^5 \log ^{17}(x)[phone] x^6 \log ^{15}(x)-1507608960 x^7 \log ^{13}(x)[phone] x^8 \log ^{11}(x)-278106400 x^9 \log ^9(x)[phone] x^{10} \log ^7(x)-9801792 x^{11} \log ^5(x)+742560 x^{12} \log ^3(x)-19040 x^{13} \log (x)\right )+e^{-18+6 e^x} \left (1344904 \log ^{28}(x)-15405264 x \log ^{26}(x)[phone] x^2 \log ^{24}(x)-256183200 x^3 \log ^{22}(x)[phone] x^4 \log ^{20}(x)-832880048 x^5 \log ^{18}(x)[phone] x^6 \log ^{16}(x)-753804480 x^7 \log ^{14}(x)[phone] x^8 \log ^{12}(x)-194674480 x^9 \log ^{10}(x)[phone] x^{10} \log ^8(x)-11435424 x^{11} \log ^6(x)+1299480 x^{12} \log ^4(x)-66640 x^{13} \log ^2(x)+680 x^{14}\right )+e^{-15+5 e^x} \left (278256 \log ^{29}(x)-3423392 x \log ^{27}(x)[phone] x^2 \log ^{25}(x)-66830400 x^3 \log ^{23}(x)[phone] x^4 \log ^{21}(x)-263014752 x^5 \log ^{19}(x)[phone] x^6 \log ^{17}(x)-301521792 x^7 \log ^{15}(x)[phone] x^8 \log ^{13}(x)-106186080 x^9 \log ^{11}(x)[phone] x^{10} \log ^9(x)-9801792 x^{11} \log ^7(x)+1559376 x^{12} \log ^5(x)-133280 x^{13} \log ^3(x)+4080 x^{14} \log (x)\right )+e^{-12+4 e^x} \left (46376 \log ^{30}(x)-611320 x \log ^{28}(x)+3727080 x^2 \log ^{26}(x)-13923000 x^3 \log ^{24}(x)[phone] x^4 \log ^{22}(x)-65753688 x^5 \log ^{20}(x)[phone] x^6 \log ^{18}(x)-94225560 x^7 \log ^{16}(x)[phone] x^8 \log ^{14}(x)-44244200 x^9 \log ^{12}(x)[phone] x^{10} \log ^{10}(x)-6126120 x^{11} \log ^8(x)+1299480 x^{12} \log ^6(x)-166600 x^{13} \log ^4(x)+10200 x^{14} \log ^2(x)-136 x^{15}\right )+e^{-9+3 e^x} \left (5984 \log ^{31}(x)-84320 x \log ^{29}(x)+552160 x^2 \log ^{27}(x)-2227680 x^3 \log ^{25}(x)+6188000 x^4 \log ^{23}(x)-12524512 x^5 \log ^{21}(x)[phone] x^6 \log ^{19}(x)-22170720 x^7 \log ^{17}(x)[phone] x^8 \log ^{15}(x)-13613600 x^9 \log ^{13}(x)+7079072 x^{10} \log ^{11}(x)-2722720 x^{11} \log ^9(x)+742560 x^{12} \log ^7(x)-133280 x^{13} \log ^5(x)+13600 x^{14} \log ^3(x)-544 x^{15} \log (x)\right )+e^{-6+2 e^x} \left (561 \log ^{32}(x)-8432 x \log ^{30}(x)+59160 x^2 \log ^{28}(x)-257040 x^3 \log ^{26}(x)+773500 x^4 \log ^{24}(x)-1707888 x^5 \log ^{22}(x)+2858856 x^6 \log ^{20}(x)-3695120 x^7 \log ^{18}(x)+3719430 x^8 \log ^{16}(x)-2917200 x^9 \log ^{14}(x)+1769768 x^{10} \log ^{12}(x)-816816 x^{11} \log ^{10}(x)+278460 x^{12} \log ^8(x)-66640 x^{13} \log ^6(x)+10200 x^{14} \log ^4(x)-816 x^{15} \log ^2(x)+17 x^{16}\right )+e^{-3+e^x} \left (34 \log ^{33}(x)-544 x \log ^{31}(x)+4080 x^2 \log ^{29}(x)-19040 x^3 \log ^{27}(x)+61880 x^4 \log ^{25}(x)-148512 x^5 \log ^{23}(x)+272272 x^6 \log ^{21}(x)-388960 x^7 \log ^{19}(x)+437580 x^8 \log ^{17}(x)-388960 x^9 \log ^{15}(x)+272272 x^{10} \log ^{13}(x)-148512 x^{11} \log ^{11}(x)+61880 x^{12} \log ^9(x)-19040 x^{13} \log ^7(x)+4080 x^{14} \log ^5(x)-544 x^{15} \log ^3(x)+34 x^{16} \log (x)\right )} \, dx\)

\(\Big \downarrow \) 7239

\(\displaystyle \int \frac {2 e^{96} \left (e^{2 e^x}-32 e^{e^x+3}-32 e^{x+2 e^x} x+15 e^6 x+e^6 \log ^2(x)+\left (-32 e^{x+e^x+3} x+2 e^{e^x+3}-32 e^6\right ) \log (x)\right )}{\left (e^{2 e^x}-e^6 x+e^6 \log ^2(x)+2 e^{e^x+3} \log (x)\right )^{17}}dx\)

\(\Big \downarrow \) 27

\(\displaystyle 2 e^{96} \int \frac {e^6 \log ^2(x)-2 \left (16 e^{x+e^x+3} x-e^{3+e^x}+16 e^6\right ) \log (x)+e^{2 e^x}-32 e^{3+e^x}-32 e^{x+2 e^x} x+15 e^6 x}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx\)

\(\Big \downarrow \) 7293

\(\displaystyle 2 e^{96} \int \left (\frac {e^6 \log ^2(x)}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}+\frac {2 e^{3+e^x} \log (x)}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}-\frac {32 e^6 \log (x)}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}-\frac {15 e^6 x}{\left (-e^6 \log ^2(x)-2 e^{3+e^x} \log (x)-e^{2 e^x}+e^6 x\right )^{17}}+\frac {e^{2 e^x}}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}-\frac {32 e^{3+e^x}}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}-\frac {32 e^{x+e^x} x \left (e^3 \log (x)+e^{e^x}\right )}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}\right )dx\)

\(\Big \downarrow \) 2009

\(\displaystyle 2 e^{96} \left (-15 e^6 \int \frac {x}{\left (-e^6 \log ^2(x)-2 e^{3+e^x} \log (x)-e^{2 e^x}+e^6 x\right )^{17}}dx+32 \int \frac {e^{x+e^x+3} x \log (x)}{\left (-e^6 \log ^2(x)-2 e^{3+e^x} \log (x)-e^{2 e^x}+e^6 x\right )^{17}}dx+\int \frac {e^{2 e^x}}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx-32 \int \frac {e^{3+e^x}}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx-32 \int \frac {e^{x+2 e^x} x}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx-32 e^6 \int \frac {\log (x)}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx+2 \int \frac {e^{3+e^x} \log (x)}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx+e^6 \int \frac {\log ^2(x)}{\left (e^6 \log ^2(x)+2 e^{3+e^x} \log (x)+e^{2 e^x}-e^6 x\right )^{17}}dx\right )\)

input

Int[(30*x + E^(-6 + 2*E^x)*(2 - 64*E^x*x) - 64*Log[x] + 2*Log[x]^2 + 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[x]^2 - 136*x^15*Log[x]^4 + 680*x^14*Log[ 
x]^6 - 2380*x^13*Log[x]^8 + 6188*x^12*Log[x]^10 - 12376*x^11*Log[x]^12 + 1 
9448*x^10*Log[x]^14 - 24310*x^9*Log[x]^16 + 24310*x^8*Log[x]^18 - 19448*x^ 
7*Log[x]^20 + 12376*x^6*Log[x]^22 - 6188*x^5*Log[x]^24 + 2380*x^4*Log[x]^2 
6 - 680*x^3*Log[x]^28 + 136*x^2*Log[x]^30 - 17*x*Log[x]^32 + Log[x]^34 + E 
^(-96 + 32*E^x)*(-17*x + 561*Log[x]^2) + E^(-93 + 31*E^x)*(-544*x*Log[x] + 
 5984*Log[x]^3) + E^(-90 + 30*E^x)*(136*x^2 - 8432*x*Log[x]^2 + 46376*Log[ 
x]^4) + E^(-87 + 29*E^x)*(4080*x^2*Log[x] - 84320*x*Log[x]^3 + 278256*Log[ 
x]^5) + E^(-84 + 28*E^x)*(-680*x^3 + 59160*x^2*Log[x]^2 - 611320*x*Log[x]^ 
4 + 1344904*Log[x]^6) + E^(-81 + 27*E^x)*(-19040*x^3*Log[x] + 552160*x^2*L 
og[x]^3 - 3423392*x*Log[x]^5 + 5379616*Log[x]^7) + E^(-78 + 26*E^x)*(2380* 
x^4 - 257040*x^3*Log[x]^2 + 3727080*x^2*Log[x]^4 - 15405264*x*Log[x]^6 + 1 
8156204*Log[x]^8) + E^(-75 + 25*E^x)*(61880*x^4*Log[x] - 2227680*x^3*Log[x 
]^3 + 19380816*x^2*Log[x]^5 - 57219552*x*Log[x]^7 + 52451256*Log[x]^9) + E 
^(-72 + 24*E^x)*(-6188*x^5 + 773500*x^4*Log[x]^2 - 13923000*x^3*Log[x]^4 + 
 80753400*x^2*Log[x]^6 - 178811100*x*Log[x]^8 + 131128140*Log[x]^10) + E^( 
-69 + 23*E^x)*(-148512*x^5*Log[x] + 6188000*x^4*Log[x]^3 - 66830400*x^3*Lo 
g[x]^5 + 276868800*x^2*Log[x]^7 - 476829600*x*Log[x]^9 + 286097760*Log[x]^ 
11) + E^(-66 + 22*E^x)*(12376*x^6 - 1707888*x^5*Log[x]^2 + 35581000*x^4*Lo 
g[x]^4 - 256183200*x^3*Log[x]^6 + 795997800*x^2*Log[x]^8 - 1096708080*x*Lo 
g[x]^10 + 548354040*Log[x]^12) + E^(-63 + 21*E^x)*(272272*x^6*Log[x] - 125 
24512*x^5*Log[x]^3 + 156556400*x^4*Log[x]^5 - 805147200*x^3*Log[x]^7 + 194 
5772400*x^2*Log[x]^9 - 2193416160*x*Log[x]^11 + 927983760*Log[x]^13) + E^( 
-60 + 20*E^x)*(-19448*x^7 + 2858856*x^6*Log[x]^2 - 65753688*x^5*Log[x]^4 + 
 547947400*x^4*Log[x]^6 - 2113511400*x^3*Log[x]^8 + 4086122040*x^2*Log[x]^ 
10 - 3838478280*x*Log[x]^12 + 1391975640*Log[x]^14) + E^(-57 + 19*E^x)*(-3 
88960*x^7*Log[x] + 19059040*x^6*Log[x]^3 - 263014752*x^5*Log[x]^5 + 156556 
4000*x^4*Log[x]^7 - 4696692000*x^3*Log[x]^9 + 7429312800*x^2*Log[x]^11 - 5 
905351200*x*Log[x]^13 + 1855967520*Log[x]^15) + E^(-54 + 18*E^x)*(24310*x^ 
8 - 3695120*x^7*Log[x]^2 + 90530440*x^6*Log[x]^4 - 832880048*x^5*Log[x]^6 
+ 3718214500*x^4*Log[x]^8 - 8923714800*x^3*Log[x]^10 + 11763078600*x^2*Log 
[x]^12 - 8014405200*x*Log[x]^14 + 2203961430*Log[x]^16) + E^(-51 + 17*E^x) 
*(437580*x^8*Log[x] - 22170720*x^7*Log[x]^3 + 325909584*x^6*Log[x]^5 - 214 
1691552*x^5*Log[x]^7 + 7436429000*x^4*Log[x]^9 - 14602442400*x^3*Log[x]^11 
 + 16287339600*x^2*Log[x]^13 - 9617286240*x*Log[x]^15 + 2333606220*Log[x]^ 
17) + E^(-48 + 16*E^x)*(-24310*x^9 + 3719430*x^8*Log[x]^2 - 94225560*x^7*L 
og[x]^4 + 923410488*x^6*Log[x]^6 - 4551094548*x^5*Log[x]^8 + 12641929300*x 
^4*Log[x]^10 - 20686793400*x^3*Log[x]^12 + 19777483800*x^2*Log[x]^14 - 102 
18366630*x*Log[x]^16 + 2203961430*Log[x]^18) + E^(-45 + 15*E^x)*(-388960*x 
^9*Log[x] + 19836960*x^8*Log[x]^3 - 301521792*x^7*Log[x]^5 + 2110652544*x^ 
6*Log[x]^7 - 8090834752*x^5*Log[x]^9 + 18388260800*x^4*Log[x]^11 - 2546066 
8800*x^3*Log[x]^13 + 21095982720*x^2*Log[x]^15 - 9617286240*x*Log[x]^17 + 
1855967520*Log[x]^19) + E^(-42 + 14*E^x)*(19448*x^10 - 2917200*x^9*Log[x]^ 
2 + 74388600*x^8*Log[x]^4 - 753804480*x^7*Log[x]^6 + 3957473520*x^6*Log[x] 
^8 - 12136252128*x^5*Log[x]^10 + 22985326000*x^4*Log[x]^12 - 27279288000*x 
^3*Log[x]^14 + 19777483800*x^2*Log[x]^16 - 8014405200*x*Log[x]^18 + 139197 
5640*Log[x]^20) + E^(-39 + 13*E^x)*(272272*x^10*Log[x] - 13613600*x^9*Log[ 
x]^3 + 208288080*x^8*Log[x]^5 - 1507608960*x^7*Log[x]^7 + 6156069920*x^6*L 
og[x]^9 - 15446139072*x^5*Log[x]^11 + 24753428000*x^4*Log[x]^13 - 25460668 
800*x^3*Log[x]^15 + 16287339600*x^2*Log[x]^17 - 5905351200*x*Log[x]^19 + 9 
27983760*Log[x]^21) + E^(-36 + 12*E^x)*(-12376*x^11 + 1769768*x^10*Log[x]^ 
2 - 44244200*x^9*Log[x]^4 + 451290840*x^8*Log[x]^6 - 2449864560*x^7*Log[x] 
^8 + 8002890896*x^6*Log[x]^10 - 16733317328*x^5*Log[x]^12 + 22985326000*x^ 
4*Log[x]^14 - 20686793400*x^3*Log[x]^16 + 11763078600*x^2*Log[x]^18 - 3838 
478280*x*Log[x]^20 + 548354040*Log[x]^22) + E^(-33 + 11*E^x)*(-148512*x^11 
*Log[x] + 7079072*x^10*Log[x]^3 - 106186080*x^9*Log[x]^5 + 773641440*x^8*L 
og[x]^7 - 3266486080*x^7*Log[x]^9 + 8730426432*x^6*Log[x]^11 - 15446139072 
*x^5*Log[x]^13 + 18388260800*x^4*Log[x]^15 - 14602442400*x^3*Log[x]^17 + 7 
429312800*x^2*Log[x]^19 - 2193416160*x*Log[x]^21 + 286097760*Log[x]^23) + 
E^(-30 + 10*E^x)*(6188*x^12 - 816816*x^11*Log[x]^2 + 19467448*x^10*Log[x]^ 
4 - 194674480*x^9*Log[x]^6 + 1063756980*x^8*Log[x]^8 - 3593134688*x^7*Log[ 
x]^10 + 8002890896*x^6*Log[x]^12 - 12136252128*x^5*Log[x]^14 + 12641929300 
*x^4*Log[x]^16 - 8923714800*x^3*Log[x]^18 + 4086122040*x^2*Log[x]^20 - 109 
6708080*x*Log[x]^22 + 131128140*Log[x]^24) + E^(-27 + 9*E^x)*(61880*x^12*L 
og[x] - 2722720*x^11*Log[x]^3 + 38934896*x^10*Log[x]^5 - 278106400*x^9*Log 
[x]^7 + 1181952200*x^8*Log[x]^9 - 3266486080*x^7*Log[x]^11 + 6156069920*x^ 
6*Log[x]^13 - 8090834752*x^5*Log[x]^15 + 7436429000*x^4*Log[x]^17 - 469669 
2000*x^3*Log[x]^19 + 1945772400*x^2*Log[x]^21 - 476829600*x*Log[x]^23 + 52 
451256*Log[x]^25) + E^(-24 + 8*E^x)*(-2380*x^13 + 278460*x^12*Log[x]^2 - 6 
126120*x^11*Log[x]^4 + 58402344*x^10*Log[x]^6 - 312869700*x^9*Log[x]^8 + 1 
063756980*x^8*Log[x]^10 - 2449864560*x^7*Log[x]^12 + 3957473520*x^6*Log[x] 
^14 - 4551094548*x^5*Log[x]^16 + 3718214500*x^4*Log[x]^18 - 2113511400*x^3 
*Log[x]^20 + 795997800*x^2*Log[x]^22 - 178811100*x*Log[x]^24 + 18156204*Lo 
g[x]^26) + E^(-21 + 7*E^x)*(-19040*x^13*Log[x] + 742560*x^12*Log[x]^3 - 98 
01792*x^11*Log[x]^5 + 66745536*x^10*Log[x]^7 - 278106400*x^9*Log[x]^9 + 77 
3641440*x^8*Log[x]^11 - 1507608960*x^7*Log[x]^13 + 2110652544*x^6*Log[x]^1 
5 - 2141691552*x^5*Log[x]^17 + 1565564000*x^4*Log[x]^19 - 805147200*x^3*Lo 
g[x]^21 + 276868800*x^2*Log[x]^23 - 57219552*x*Log[x]^25 + 5379616*Log[x]^ 
27) + E^(-18 + 6*E^x)*(680*x^14 - 66640*x^13*Log[x]^2 + 1299480*x^12*Log[x 
]^4 - 11435424*x^11*Log[x]^6 + 58402344*x^10*Log[x]^8 - 194674480*x^9*Log[ 
x]^10 + 451290840*x^8*Log[x]^12 - 753804480*x^7*Log[x]^14 + 923410488*x^6* 
Log[x]^16 - 832880048*x^5*Log[x]^18 + 547947400*x^4*Log[x]^20 - 256183200* 
x^3*Log[x]^22 + 80753400*x^2*Log[x]^24 - 15405264*x*Log[x]^26 + 1344904*Lo 
g[x]^28) + E^(-15 + 5*E^x)*(4080*x^14*Log[x] - 133280*x^13*Log[x]^3 + 1559 
376*x^12*Log[x]^5 - 9801792*x^11*Log[x]^7 + 38934896*x^10*Log[x]^9 - 10618 
6080*x^9*Log[x]^11 + 208288080*x^8*Log[x]^13 - 301521792*x^7*Log[x]^15 + 3 
25909584*x^6*Log[x]^17 - 263014752*x^5*Log[x]^19 + 156556400*x^4*Log[x]^21 
 - 66830400*x^3*Log[x]^23 + 19380816*x^2*Log[x]^25 - 3423392*x*Log[x]^27 + 
 278256*Log[x]^29) + E^(-12 + 4*E^x)*(-136*x^15 + 10200*x^14*Log[x]^2 - 16 
6600*x^13*Log[x]^4 + 1299480*x^12*Log[x]^6 - 6126120*x^11*Log[x]^8 + 19467 
448*x^10*Log[x]^10 - 44244200*x^9*Log[x]^12 + 74388600*x^8*Log[x]^14 - 942 
25560*x^7*Log[x]^16 + 90530440*x^6*Log[x]^18 - 65753688*x^5*Log[x]^20 + 35 
581000*x^4*Log[x]^22 - 13923000*x^3*Log[x]^24 + 3727080*x^2*Log[x]^26 - 61 
1320*x*Log[x]^28 + 46376*Log[x]^30) + E^(-9 + 3*E^x)*(-544*x^15*Log[x] + 1 
3600*x^14*Log[x]^3 - 133280*x^13*Log[x]^5 + 742560*x^12*Log[x]^7 - 2722720 
*x^11*Log[x]^9 + 7079072*x^10*Log[x]^11 - 13613600*x^9*Log[x]^13 + 1983696 
0*x^8*Log[x]^15 - 22170720*x^7*Log[x]^17 + 19059040*x^6*Log[x]^19 - 125245 
12*x^5*Log[x]^21 + 6188000*x^4*Log[x]^23 - 2227680*x^3*Log[x]^25 + 552160* 
x^2*Log[x]^27 - 84320*x*Log[x]^29 + 5984*Log[x]^31) + E^(-6 + 2*E^x)*(17*x 
^16 - 816*x^15*Log[x]^2 + 10200*x^14*Log[x]^4 - 66640*x^13*Log[x]^6 + 2784 
60*x^12*Log[x]^8 - 816816*x^11*Log[x]^10 + 1769768*x^10*Log[x]^12 - 291720 
0*x^9*Log[x]^14 + 3719430*x^8*Log[x]^16 - 3695120*x^7*Log[x]^18 + 2858856* 
x^6*Log[x]^20 - 1707888*x^5*Log[x]^22 + 773500*x^4*Log[x]^24 - 257040*x^3* 
Log[x]^26 + 59160*x^2*Log[x]^28 - 8432*x*Log[x]^30 + 561*Log[x]^32) + E^(- 
3 + E^x)*(34*x^16*Log[x] - 544*x^15*Log[x]^3 + 4080*x^14*Log[x]^5 - 19040* 
x^13*Log[x]^7 + 61880*x^12*Log[x]^9 - 148512*x^11*Log[x]^11 + 272272*x^10* 
Log[x]^13 - 388960*x^9*Log[x]^15 + 437580*x^8*Log[x]^17 - 388960*x^7*Log[x 
]^19 + 272272*x^6*Log[x]^21 - 148512*x^5*Log[x]^23 + 61880*x^4*Log[x]^25 - 
 19040*x^3*Log[x]^27 + 4080*x^2*Log[x]^29 - 544*x*Log[x]^31 + 34*Log[x]^33 
)),x]
 

output

$Aborted
 

3.8.31.3.1 Defintions of rubi rules used

rule 27

Int[(a_)*(Fx_), x_Symbol] :> Simp[a   Int[Fx, x], x] /; FreeQ[a, x] &&  !Ma 
tchQ[Fx, (b_)*(Gx_) /; FreeQ[b, x]]
 

rule 2009

Int[u_, x_Symbol] :> Simp[IntSum[u, x], x] /; SumQ[u]
 

rule 7239

Int[u_, x_Symbol] :> With[{v = SimplifyIntegrand[u, x]}, Int[v, x] /; Simpl 
erIntegrandQ[v, u, x]]
 

rule 7293

Int[u_, x_Symbol] :> With[{v = ExpandIntegrand[u, x]}, Int[v, x] /; SumQ[v] 
]
 

3.8.31.4 Maple [F(-1)]

Timed out.

hanged

input

int(((-64*exp(x)*x+2)*exp(exp(x)-3)^2+((-64*exp(x)*x+4)*ln(x)-64)*exp(exp( 
x)-3)+2*ln(x)^2-64*ln(x)+30*x)/((561*ln(x)^2-17*x)*exp(exp(x)-3)^32+(5984* 
ln(x)^3-544*x*ln(x))*exp(exp(x)-3)^31+(46376*ln(x)^4-8432*x*ln(x)^2+136*x^ 
2)*exp(exp(x)-3)^30+(278256*ln(x)^5-84320*x*ln(x)^3+4080*x^2*ln(x))*exp(ex 
p(x)-3)^29+(1344904*ln(x)^6-611320*x*ln(x)^4+59160*x^2*ln(x)^2-680*x^3)*ex 
p(exp(x)-3)^28+(5379616*ln(x)^7-3423392*x*ln(x)^5+552160*x^2*ln(x)^3-19040 
*x^3*ln(x))*exp(exp(x)-3)^27+(18156204*ln(x)^8-15405264*x*ln(x)^6+3727080* 
x^2*ln(x)^4-257040*x^3*ln(x)^2+2380*x^4)*exp(exp(x)-3)^26+(52451256*ln(x)^ 
9-57219552*x*ln(x)^7+19380816*x^2*ln(x)^5-2227680*x^3*ln(x)^3+61880*x^4*ln 
(x))*exp(exp(x)-3)^25+(131128140*ln(x)^10-178811100*x*ln(x)^8+80753400*x^2 
*ln(x)^6-13923000*x^3*ln(x)^4+773500*x^4*ln(x)^2-6188*x^5)*exp(exp(x)-3)^2 
4+(286097760*ln(x)^11-476829600*x*ln(x)^9+276868800*x^2*ln(x)^7-66830400*x 
^3*ln(x)^5+6188000*x^4*ln(x)^3-148512*x^5*ln(x))*exp(exp(x)-3)^23+(9279837 
60*ln(x)^13-2193416160*x*ln(x)^11+1945772400*x^2*ln(x)^9-805147200*x^3*ln( 
x)^7+156556400*x^4*ln(x)^5-12524512*x^5*ln(x)^3+272272*x^6*ln(x))*exp(exp( 
x)-3)^21+(1391975640*ln(x)^14-3838478280*x*ln(x)^12+4086122040*x^2*ln(x)^1 
0-2113511400*x^3*ln(x)^8+547947400*x^4*ln(x)^6-65753688*x^5*ln(x)^4+285885 
6*x^6*ln(x)^2-19448*x^7)*exp(exp(x)-3)^20+(548354040*ln(x)^12-1096708080*x 
*ln(x)^10+795997800*x^2*ln(x)^8-256183200*x^3*ln(x)^6+35581000*x^4*ln(x)^4 
-1707888*x^5*ln(x)^2+12376*x^6)*exp(exp(x)-3)^22+(1855967520*ln(x)^15-5905 
351200*x*ln(x)^13+7429312800*x^2*ln(x)^11-4696692000*x^3*ln(x)^9+156556400 
0*x^4*ln(x)^7-263014752*x^5*ln(x)^5+19059040*x^6*ln(x)^3-388960*x^7*ln(x)) 
*exp(exp(x)-3)^19+(2203961430*ln(x)^16-8014405200*x*ln(x)^14+11763078600*x 
^2*ln(x)^12-8923714800*x^3*ln(x)^10+3718214500*x^4*ln(x)^8-832880048*x^5*l 
n(x)^6+90530440*x^6*ln(x)^4-3695120*x^7*ln(x)^2+24310*x^8)*exp(exp(x)-3)^1 
8+(2333606220*ln(x)^17-9617286240*x*ln(x)^15+16287339600*x^2*ln(x)^13-1460 
2442400*x^3*ln(x)^11+7436429000*x^4*ln(x)^9-2141691552*x^5*ln(x)^7+3259095 
84*x^6*ln(x)^5-22170720*x^7*ln(x)^3+437580*x^8*ln(x))*exp(exp(x)-3)^17+(22 
03961430*ln(x)^18-10218366630*x*ln(x)^16+19777483800*x^2*ln(x)^14-20686793 
400*x^3*ln(x)^12+12641929300*x^4*ln(x)^10-4551094548*x^5*ln(x)^8+923410488 
*x^6*ln(x)^6-94225560*x^7*ln(x)^4+3719430*x^8*ln(x)^2-24310*x^9)*exp(exp(x 
)-3)^16+(1855967520*ln(x)^19-9617286240*x*ln(x)^17+21095982720*x^2*ln(x)^1 
5-25460668800*x^3*ln(x)^13+18388260800*x^4*ln(x)^11-8090834752*x^5*ln(x)^9 
[phone]*x^6*ln(x)^7-301521792*x^7*ln(x)^5+19836960*x^8*ln(x)^3-388960* 
x^9*ln(x))*exp(exp(x)-3)^15+(1391975640*ln(x)^20-8014405200*x*ln(x)^18+197 
77483800*x^2*ln(x)^16-27279288000*x^3*ln(x)^14+22985326000*x^4*ln(x)^12-12 
136252128*x^5*ln(x)^10+3957473520*x^6*ln(x)^8-753804480*x^7*ln(x)^6+743886 
00*x^8*ln(x)^4-2917200*x^9*ln(x)^2+19448*x^10)*exp(exp(x)-3)^14+(927983760 
*ln(x)^21-5905351200*x*ln(x)^19+16287339600*x^2*ln(x)^17-25460668800*x^3*l 
n(x)^15+24753428000*x^4*ln(x)^13-15446139072*x^5*ln(x)^11+6156069920*x^6*l 
n(x)^9-1507608960*x^7*ln(x)^7+208288080*x^8*ln(x)^5-13613600*x^9*ln(x)^3+2 
72272*x^10*ln(x))*exp(exp(x)-3)^13+(548354040*ln(x)^22-3838478280*x*ln(x)^ 
20+11763078600*x^2*ln(x)^18-20686793400*x^3*ln(x)^16+22985326000*x^4*ln(x) 
^14-16733317328*x^5*ln(x)^12+8002890896*x^6*ln(x)^10-2449864560*x^7*ln(x)^ 
8+451290840*x^8*ln(x)^6-44244200*x^9*ln(x)^4+1769768*x^10*ln(x)^2-12376*x^ 
11)*exp(exp(x)-3)^12+(286097760*ln(x)^23-2193416160*x*ln(x)^21+7429312800* 
x^2*ln(x)^19-14602442400*x^3*ln(x)^17+18388260800*x^4*ln(x)^15-15446139072 
*x^5*ln(x)^13+8730426432*x^6*ln(x)^11-3266486080*x^7*ln(x)^9+773641440*x^8 
*ln(x)^7-106186080*x^9*ln(x)^5+7079072*x^10*ln(x)^3-148512*x^11*ln(x))*exp 
(exp(x)-3)^11+(131128140*ln(x)^24-1096708080*x*ln(x)^22+4086122040*x^2*ln( 
x)^20-8923714800*x^3*ln(x)^18+12641929300*x^4*ln(x)^16-12136252128*x^5*ln( 
x)^14+8002890896*x^6*ln(x)^12-3593134688*x^7*ln(x)^10+1063756980*x^8*ln(x) 
^8-194674480*x^9*ln(x)^6+19467448*x^10*ln(x)^4-816816*x^11*ln(x)^2+6188*x^ 
12)*exp(exp(x)-3)^10+(52451256*ln(x)^25-476829600*x*ln(x)^23+1945772400*x^ 
2*ln(x)^21-4696692000*x^3*ln(x)^19+7436429000*x^4*ln(x)^17-8090834752*x^5* 
ln(x)^15+6156069920*x^6*ln(x)^13-3266486080*x^7*ln(x)^11+1181952200*x^8*ln 
(x)^9-278106400*x^9*ln(x)^7+38934896*x^10*ln(x)^5-2722720*x^11*ln(x)^3+618 
80*x^12*ln(x))*exp(exp(x)-3)^9+(18156204*ln(x)^26-178811100*x*ln(x)^24+795 
997800*x^2*ln(x)^22-2113511400*x^3*ln(x)^20+3718214500*x^4*ln(x)^18-455109 
4548*x^5*ln(x)^16+3957473520*x^6*ln(x)^14-2449864560*x^7*ln(x)^12+10637569 
80*x^8*ln(x)^10-312869700*x^9*ln(x)^8+58402344*x^10*ln(x)^6-6126120*x^11*l 
n(x)^4+278460*x^12*ln(x)^2-2380*x^13)*exp(exp(x)-3)^8+(5379616*ln(x)^27-57 
219552*x*ln(x)^25+276868800*x^2*ln(x)^23-805147200*x^3*ln(x)^21+1565564000 
*x^4*ln(x)^19-2141691552*x^5*ln(x)^17+2110652544*x^6*ln(x)^15-1507608960*x 
^7*ln(x)^13+773641440*x^8*ln(x)^11-278106400*x^9*ln(x)^9+66745536*x^10*ln( 
x)^7-9801792*x^11*ln(x)^5+742560*x^12*ln(x)^3-19040*x^13*ln(x))*exp(exp(x) 
-3)^7+(1344904*ln(x)^28-15405264*x*ln(x)^26+80753400*x^2*ln(x)^24-25618320 
0*x^3*ln(x)^22+547947400*x^4*ln(x)^20-832880048*x^5*ln(x)^18+923410488*x^6 
*ln(x)^16-753804480*x^7*ln(x)^14+451290840*x^8*ln(x)^12-194674480*x^9*ln(x 
)^10+58402344*x^10*ln(x)^8-11435424*x^11*ln(x)^6+1299480*x^12*ln(x)^4-6664 
0*x^13*ln(x)^2+680*x^14)*exp(exp(x)-3)^6+(278256*ln(x)^29-3423392*x*ln(x)^ 
27+19380816*x^2*ln(x)^25-66830400*x^3*ln(x)^23+156556400*x^4*ln(x)^21-2630 
14752*x^5*ln(x)^19+325909584*x^6*ln(x)^17-301521792*x^7*ln(x)^15+208288080 
*x^8*ln(x)^13-106186080*x^9*ln(x)^11+38934896*x^10*ln(x)^9-9801792*x^11*ln 
(x)^7+1559376*x^12*ln(x)^5-133280*x^13*ln(x)^3+4080*x^14*ln(x))*exp(exp(x) 
-3)^5+(46376*ln(x)^30-611320*x*ln(x)^28+3727080*x^2*ln(x)^26-13923000*x^3* 
ln(x)^24+35581000*x^4*ln(x)^22-65753688*x^5*ln(x)^20+90530440*x^6*ln(x)^18 
-94225560*x^7*ln(x)^16+74388600*x^8*ln(x)^14-44244200*x^9*ln(x)^12+1946744 
8*x^10*ln(x)^10-6126120*x^11*ln(x)^8+1299480*x^12*ln(x)^6-166600*x^13*ln(x 
)^4+10200*x^14*ln(x)^2-136*x^15)*exp(exp(x)-3)^4+(5984*ln(x)^31-84320*x*ln 
(x)^29+552160*x^2*ln(x)^27-2227680*x^3*ln(x)^25+6188000*x^4*ln(x)^23-12524 
512*x^5*ln(x)^21+19059040*x^6*ln(x)^19-22170720*x^7*ln(x)^17+19836960*x^8* 
ln(x)^15-13613600*x^9*ln(x)^13+7079072*x^10*ln(x)^11-2722720*x^11*ln(x)^9+ 
742560*x^12*ln(x)^7-133280*x^13*ln(x)^5+13600*x^14*ln(x)^3-544*x^15*ln(x)) 
*exp(exp(x)-3)^3+(561*ln(x)^32-8432*x*ln(x)^30+59160*x^2*ln(x)^28-257040*x 
^3*ln(x)^26+773500*x^4*ln(x)^24-1707888*x^5*ln(x)^22+2858856*x^6*ln(x)^20- 
3695120*x^7*ln(x)^18+3719430*x^8*ln(x)^16-2917200*x^9*ln(x)^14+1769768*x^1 
0*ln(x)^12-816816*x^11*ln(x)^10+278460*x^12*ln(x)^8-66640*x^13*ln(x)^6+102 
00*x^14*ln(x)^4-816*x^15*ln(x)^2+17*x^16)*exp(exp(x)-3)^2+(34*ln(x)^33-544 
*x*ln(x)^31+4080*x^2*ln(x)^29-19040*x^3*ln(x)^27+61880*x^4*ln(x)^25-148512 
*x^5*ln(x)^23+272272*x^6*ln(x)^21-388960*x^7*ln(x)^19+437580*x^8*ln(x)^17- 
388960*x^9*ln(x)^15+272272*x^10*ln(x)^13-148512*x^11*ln(x)^11+61880*x^12*l 
n(x)^9-19040*x^13*ln(x)^7+4080*x^14*ln(x)^5-544*x^15*ln(x)^3+34*x^16*ln(x) 
)*exp(exp(x)-3)+ln(x)^34+exp(exp(x)-3)^34-x^17-17*x*ln(x)^32+136*x^2*ln(x) 
^30-680*x^3*ln(x)^28+2380*x^4*ln(x)^26-6188*x^5*ln(x)^24+12376*x^6*ln(x)^2 
2-19448*x^7*ln(x)^20+24310*x^8*ln(x)^18-24310*x^9*ln(x)^16+19448*x^10*ln(x 
)^14-12376*x^11*ln(x)^12+6188*x^12*ln(x)^10-2380*x^13*ln(x)^8+680*x^14*ln( 
x)^6-136*x^15*ln(x)^4+17*x^16*ln(x)^2+34*ln(x)*exp(exp(x)-3)^33),x)
 

output

int(((-64*exp(x)*x+2)*exp(exp(x)-3)^2+((-64*exp(x)*x+4)*ln(x)-64)*exp(exp( 
x)-3)+2*ln(x)^2-64*ln(x)+30*x)/((561*ln(x)^2-17*x)*exp(exp(x)-3)^32+(5984* 
ln(x)^3-544*x*ln(x))*exp(exp(x)-3)^31+(46376*ln(x)^4-8432*x*ln(x)^2+136*x^ 
2)*exp(exp(x)-3)^30+(278256*ln(x)^5-84320*x*ln(x)^3+4080*x^2*ln(x))*exp(ex 
p(x)-3)^29+(1344904*ln(x)^6-611320*x*ln(x)^4+59160*x^2*ln(x)^2-680*x^3)*ex 
p(exp(x)-3)^28+(5379616*ln(x)^7-3423392*x*ln(x)^5+552160*x^2*ln(x)^3-19040 
*x^3*ln(x))*exp(exp(x)-3)^27+(18156204*ln(x)^8-15405264*x*ln(x)^6+3727080* 
x^2*ln(x)^4-257040*x^3*ln(x)^2+2380*x^4)*exp(exp(x)-3)^26+(52451256*ln(x)^ 
9-57219552*x*ln(x)^7+19380816*x^2*ln(x)^5-2227680*x^3*ln(x)^3+61880*x^4*ln 
(x))*exp(exp(x)-3)^25+(131128140*ln(x)^10-178811100*x*ln(x)^8+80753400*x^2 
*ln(x)^6-13923000*x^3*ln(x)^4+773500*x^4*ln(x)^2-6188*x^5)*exp(exp(x)-3)^2 
4+(286097760*ln(x)^11-476829600*x*ln(x)^9+276868800*x^2*ln(x)^7-66830400*x 
^3*ln(x)^5+6188000*x^4*ln(x)^3-148512*x^5*ln(x))*exp(exp(x)-3)^23+(9279837 
60*ln(x)^13-2193416160*x*ln(x)^11+1945772400*x^2*ln(x)^9-805147200*x^3*ln( 
x)^7+156556400*x^4*ln(x)^5-12524512*x^5*ln(x)^3+272272*x^6*ln(x))*exp(exp( 
x)-3)^21+(1391975640*ln(x)^14-3838478280*x*ln(x)^12+4086122040*x^2*ln(x)^1 
0-2113511400*x^3*ln(x)^8+547947400*x^4*ln(x)^6-65753688*x^5*ln(x)^4+285885 
6*x^6*ln(x)^2-19448*x^7)*exp(exp(x)-3)^20+(548354040*ln(x)^12-1096708080*x 
*ln(x)^10+795997800*x^2*ln(x)^8-256183200*x^3*ln(x)^6+35581000*x^4*ln(x)^4 
-1707888*x^5*ln(x)^2+12376*x^6)*exp(exp(x)-3)^22+(1855967520*ln(x)^15-5...
 

3.8.31.5 Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 2650 vs. \(2 (19) = 38\).

Time = 1.24 (sec) , antiderivative size = 2650, normalized size of antiderivative = 126.19 \[ \text {the integral} =\text {Too large to display} \]

input

integrate(((-64*exp(x)*x+2)*exp(exp(x)-3)^2+((-64*exp(x)*x+4)*log(x)-64)*e 
xp(exp(x)-3)+2*log(x)^2-64*log(x)+30*x)/((5984*log(x)^31-84320*x*log(x)^29 
+552160*x^2*log(x)^27-2227680*x^3*log(x)^25+6188000*x^4*log(x)^23-12524512 
*x^5*log(x)^21+19059040*x^6*log(x)^19-22170720*x^7*log(x)^17+19836960*x^8* 
log(x)^15-13613600*x^9*log(x)^13+7079072*x^10*log(x)^11-2722720*x^11*log(x 
)^9+742560*x^12*log(x)^7-133280*x^13*log(x)^5+13600*x^14*log(x)^3-544*x^15 
*log(x))*exp(exp(x)-3)^3+(561*log(x)^32-8432*x*log(x)^30+59160*x^2*log(x)^ 
28-257040*x^3*log(x)^26+773500*x^4*log(x)^24-1707888*x^5*log(x)^22+2858856 
*x^6*log(x)^20-3695120*x^7*log(x)^18+3719430*x^8*log(x)^16-2917200*x^9*log 
(x)^14+1769768*x^10*log(x)^12-816816*x^11*log(x)^10+278460*x^12*log(x)^8-6 
6640*x^13*log(x)^6+10200*x^14*log(x)^4-816*x^15*log(x)^2+17*x^16)*exp(exp( 
x)-3)^2+(34*log(x)^33-544*x*log(x)^31+4080*x^2*log(x)^29-19040*x^3*log(x)^ 
27+61880*x^4*log(x)^25-148512*x^5*log(x)^23+272272*x^6*log(x)^21-388960*x^ 
7*log(x)^19+437580*x^8*log(x)^17-388960*x^9*log(x)^15+272272*x^10*log(x)^1 
3-148512*x^11*log(x)^11+61880*x^12*log(x)^9-19040*x^13*log(x)^7+4080*x^14* 
log(x)^5-544*x^15*log(x)^3+34*x^16*log(x))*exp(exp(x)-3)+(561*log(x)^2-17* 
x)*exp(exp(x)-3)^32+(5984*log(x)^3-544*x*log(x))*exp(exp(x)-3)^31+(46376*l 
og(x)^4-8432*x*log(x)^2+136*x^2)*exp(exp(x)-3)^30+(278256*log(x)^5-84320*x 
*log(x)^3+4080*x^2*log(x))*exp(exp(x)-3)^29+(1344904*log(x)^6-611320*x*log 
(x)^4+59160*x^2*log(x)^2-680*x^3)*exp(exp(x)-3)^28+(5379616*log(x)^7-34233 
92*x*log(x)^5+552160*x^2*log(x)^3-19040*x^3*log(x))*exp(exp(x)-3)^27+(1815 
6204*log(x)^8-15405264*x*log(x)^6+3727080*x^2*log(x)^4-257040*x^3*log(x)^2 
+2380*x^4)*exp(exp(x)-3)^26+(52451256*log(x)^9-57219552*x*log(x)^7+1938081 
6*x^2*log(x)^5-2227680*x^3*log(x)^3+61880*x^4*log(x))*exp(exp(x)-3)^25+(13 
1128140*log(x)^10-178811100*x*log(x)^8+80753400*x^2*log(x)^6-13923000*x^3* 
log(x)^4+773500*x^4*log(x)^2-6188*x^5)*exp(exp(x)-3)^24+(286097760*log(x)^ 
11-476829600*x*log(x)^9+276868800*x^2*log(x)^7-66830400*x^3*log(x)^5+61880 
00*x^4*log(x)^3-148512*x^5*log(x))*exp(exp(x)-3)^23+(927983760*log(x)^13-2 
193416160*x*log(x)^11+1945772400*x^2*log(x)^9-805147200*x^3*log(x)^7+15655 
6400*x^4*log(x)^5-12524512*x^5*log(x)^3+272272*x^6*log(x))*exp(exp(x)-3)^2 
1+(1391975640*log(x)^14-3838478280*x*log(x)^12+4086122040*x^2*log(x)^10-21 
13511400*x^3*log(x)^8+547947400*x^4*log(x)^6-65753688*x^5*log(x)^4+2858856 
*x^6*log(x)^2-19448*x^7)*exp(exp(x)-3)^20+log(x)^34+exp(exp(x)-3)^34-x^17- 
17*x*log(x)^32+136*x^2*log(x)^30-680*x^3*log(x)^28+2380*x^4*log(x)^26-6188 
*x^5*log(x)^24+12376*x^6*log(x)^22-19448*x^7*log(x)^20+24310*x^8*log(x)^18 
-24310*x^9*log(x)^16+19448*x^10*log(x)^14-12376*x^11*log(x)^12+6188*x^12*l 
og(x)^10-2380*x^13*log(x)^8+680*x^14*log(x)^6-136*x^15*log(x)^4+17*x^16*lo 
g(x)^2+34*log(x)*exp(exp(x)-3)^33+(548354040*log(x)^12-1096708080*x*log(x) 
^10+795997800*x^2*log(x)^8-256183200*x^3*log(x)^6+35581000*x^4*log(x)^4-17 
07888*x^5*log(x)^2+12376*x^6)*exp(exp(x)-3)^22+(1855967520*log(x)^15-59053 
51200*x*log(x)^13+7429312800*x^2*log(x)^11-4696692000*x^3*log(x)^9+1565564 
000*x^4*log(x)^7-263014752*x^5*log(x)^5+19059040*x^6*log(x)^3-388960*x^7*l 
og(x))*exp(exp(x)-3)^19+(2203961430*log(x)^16-8014405200*x*log(x)^14+11763 
078600*x^2*log(x)^12-8923714800*x^3*log(x)^10+3718214500*x^4*log(x)^8-8328 
80048*x^5*log(x)^6+90530440*x^6*log(x)^4-3695120*x^7*log(x)^2+24310*x^8)*e 
xp(exp(x)-3)^18+(2333606220*log(x)^17-9617286240*x*log(x)^15+16287339600*x 
^2*log(x)^13-14602442400*x^3*log(x)^11+7436429000*x^4*log(x)^9-2141691552* 
x^5*log(x)^7+325909584*x^6*log(x)^5-22170720*x^7*log(x)^3+437580*x^8*log(x 
))*exp(exp(x)-3)^17+(2203961430*log(x)^18-10218366630*x*log(x)^16+19777483 
800*x^2*log(x)^14-20686793400*x^3*log(x)^12+12641929300*x^4*log(x)^10-4551 
094548*x^5*log(x)^8+923410488*x^6*log(x)^6-94225560*x^7*log(x)^4+3719430*x 
^8*log(x)^2-24310*x^9)*exp(exp(x)-3)^16+(1855967520*log(x)^19-9617286240*x 
*log(x)^17+21095982720*x^2*log(x)^15-25460668800*x^3*log(x)^13+18388260800 
*x^4*log(x)^11-8090834752*x^5*log(x)^9+2110652544*x^6*log(x)^7-301521792*x 
^7*log(x)^5+19836960*x^8*log(x)^3-388960*x^9*log(x))*exp(exp(x)-3)^15+(139 
1975640*log(x)^20-8014405200*x*log(x)^18+19777483800*x^2*log(x)^16-2727928 
8000*x^3*log(x)^14+22985326000*x^4*log(x)^12-12136252128*x^5*log(x)^10+395 
7473520*x^6*log(x)^8-753804480*x^7*log(x)^6+74388600*x^8*log(x)^4-2917200* 
x^9*log(x)^2+19448*x^10)*exp(exp(x)-3)^14+(927983760*log(x)^21-5905351200* 
x*log(x)^19+16287339600*x^2*log(x)^17-25460668800*x^3*log(x)^15+2475342800 
0*x^4*log(x)^13-15446139072*x^5*log(x)^11+6156069920*x^6*log(x)^9-15076089 
60*x^7*log(x)^7+208288080*x^8*log(x)^5-13613600*x^9*log(x)^3+272272*x^10*l 
og(x))*exp(exp(x)-3)^13+(548354040*log(x)^22-3838478280*x*log(x)^20+117630 
78600*x^2*log(x)^18-20686793400*x^3*log(x)^16+22985326000*x^4*log(x)^14-16 
733317328*x^5*log(x)^12+8002890896*x^6*log(x)^10-2449864560*x^7*log(x)^8+4 
51290840*x^8*log(x)^6-44244200*x^9*log(x)^4+1769768*x^10*log(x)^2-12376*x^ 
11)*exp(exp(x)-3)^12+(286097760*log(x)^23-2193416160*x*log(x)^21+742931280 
0*x^2*log(x)^19-14602442400*x^3*log(x)^17+18388260800*x^4*log(x)^15-154461 
39072*x^5*log(x)^13+8730426432*x^6*log(x)^11-3266486080*x^7*log(x)^9+77364 
1440*x^8*log(x)^7-106186080*x^9*log(x)^5+7079072*x^10*log(x)^3-148512*x^11 
*log(x))*exp(exp(x)-3)^11+(131128140*log(x)^24-1096708080*x*log(x)^22+4086 
122040*x^2*log(x)^20-8923714800*x^3*log(x)^18+12641929300*x^4*log(x)^16-12 
136252128*x^5*log(x)^14+8002890896*x^6*log(x)^12-3593134688*x^7*log(x)^10+ 
1063756980*x^8*log(x)^8-194674480*x^9*log(x)^6+19467448*x^10*log(x)^4-8168 
16*x^11*log(x)^2+6188*x^12)*exp(exp(x)-3)^10+(52451256*log(x)^25-476829600 
*x*log(x)^23+1945772400*x^2*log(x)^21-4696692000*x^3*log(x)^19+7436429000* 
x^4*log(x)^17-8090834752*x^5*log(x)^15+6156069920*x^6*log(x)^13-3266486080 
*x^7*log(x)^11+1181952200*x^8*log(x)^9-278106400*x^9*log(x)^7+38934896*x^1 
0*log(x)^5-2722720*x^11*log(x)^3+61880*x^12*log(x))*exp(exp(x)-3)^9+(18156 
204*log(x)^26-178811100*x*log(x)^24+795997800*x^2*log(x)^22-2113511400*x^3 
*log(x)^20+3718214500*x^4*log(x)^18-4551094548*x^5*log(x)^16+3957473520*x^ 
6*log(x)^14-2449864560*x^7*log(x)^12+1063756980*x^8*log(x)^10-312869700*x^ 
9*log(x)^8+58402344*x^10*log(x)^6-6126120*x^11*log(x)^4+278460*x^12*log(x) 
^2-2380*x^13)*exp(exp(x)-3)^8+(5379616*log(x)^27-57219552*x*log(x)^25+2768 
68800*x^2*log(x)^23-805147200*x^3*log(x)^21+1565564000*x^4*log(x)^19-21416 
91552*x^5*log(x)^17+2110652544*x^6*log(x)^15-1507608960*x^7*log(x)^13+7736 
41440*x^8*log(x)^11-278106400*x^9*log(x)^9+66745536*x^10*log(x)^7-9801792* 
x^11*log(x)^5+742560*x^12*log(x)^3-19040*x^13*log(x))*exp(exp(x)-3)^7+(134 
4904*log(x)^28-15405264*x*log(x)^26+80753400*x^2*log(x)^24-256183200*x^3*l 
og(x)^22+547947400*x^4*log(x)^20-832880048*x^5*log(x)^18+923410488*x^6*log 
(x)^16-753804480*x^7*log(x)^14+451290840*x^8*log(x)^12-194674480*x^9*log(x 
)^10+58402344*x^10*log(x)^8-11435424*x^11*log(x)^6+1299480*x^12*log(x)^4-6 
6640*x^13*log(x)^2+680*x^14)*exp(exp(x)-3)^6+(278256*log(x)^29-3423392*x*l 
og(x)^27+19380816*x^2*log(x)^25-66830400*x^3*log(x)^23+156556400*x^4*log(x 
)^21-263014752*x^5*log(x)^19+325909584*x^6*log(x)^17-301521792*x^7*log(x)^ 
15+208288080*x^8*log(x)^13-106186080*x^9*log(x)^11+38934896*x^10*log(x)^9- 
9801792*x^11*log(x)^7+1559376*x^12*log(x)^5-133280*x^13*log(x)^3+4080*x^14 
*log(x))*exp(exp(x)-3)^5+(46376*log(x)^30-611320*x*log(x)^28+3727080*x^2*l 
og(x)^26-13923000*x^3*log(x)^24+35581000*x^4*log(x)^22-65753688*x^5*log(x) 
^20+90530440*x^6*log(x)^18-94225560*x^7*log(x)^16+74388600*x^8*log(x)^14-4 
4244200*x^9*log(x)^12+19467448*x^10*log(x)^10-6126120*x^11*log(x)^8+129948 
0*x^12*log(x)^6-166600*x^13*log(x)^4+10200*x^14*log(x)^2-136*x^15)*exp(exp 
(x)-3)^4),x, algorithm=\
 

output

2*x/(log(x)^32 - 16*x*log(x)^30 + 120*x^2*log(x)^28 - 560*x^3*log(x)^26 + 
1820*x^4*log(x)^24 - 4368*x^5*log(x)^22 + 8008*x^6*log(x)^20 - 11440*x^7*l 
og(x)^18 + 12870*x^8*log(x)^16 - 11440*x^9*log(x)^14 + 8008*x^10*log(x)^12 
 - 4368*x^11*log(x)^10 + 1820*x^12*log(x)^8 - 560*x^13*log(x)^6 + 120*x^14 
*log(x)^4 - 16*x^15*log(x)^2 + x^16 + 16*(31*log(x)^2 - x)*e^(30*e^x - 90) 
 + 160*(31*log(x)^3 - 3*x*log(x))*e^(29*e^x - 87) + 40*(899*log(x)^4 - 174 
*x*log(x)^2 + 3*x^2)*e^(28*e^x - 84) + 224*(899*log(x)^5 - 290*x*log(x)^3 
+ 15*x^2*log(x))*e^(27*e^x - 81) + 112*(8091*log(x)^6 - 3915*x*log(x)^4 + 
405*x^2*log(x)^2 - 5*x^3)*e^(26*e^x - 78) + 416*(8091*log(x)^7 - 5481*x*lo 
g(x)^5 + 945*x^2*log(x)^3 - 35*x^3*log(x))*e^(25*e^x - 75) + 260*(40455*lo 
g(x)^8 - 36540*x*log(x)^6 + 9450*x^2*log(x)^4 - 700*x^3*log(x)^2 + 7*x^4)* 
e^(24*e^x - 72) + 2080*(13485*log(x)^9 - 15660*x*log(x)^7 + 5670*x^2*log(x 
)^5 - 700*x^3*log(x)^3 + 21*x^4*log(x))*e^(23*e^x - 69) + 208*(310155*log( 
x)^10 - 450225*x*log(x)^8 + 217350*x^2*log(x)^6 - 40250*x^3*log(x)^4 + 241 
5*x^4*log(x)^2 - 21*x^5)*e^(22*e^x - 66) + 416*(310155*log(x)^11 - 550275* 
x*log(x)^9 + 341550*x^2*log(x)^7 - 88550*x^3*log(x)^5 + 8855*x^4*log(x)^3 
- 231*x^5*log(x))*e^(21*e^x - 63) + 728*(310155*log(x)^12 - 660330*x*log(x 
)^10 + 512325*x^2*log(x)^8 - 177100*x^3*log(x)^6 + 26565*x^4*log(x)^4 - 13 
86*x^5*log(x)^2 + 11*x^6)*e^(20*e^x - 60) + 1120*(310155*log(x)^13 - 78039 
0*x*log(x)^11 + 740025*x^2*log(x)^9 - 328900*x^3*log(x)^7 + 69069*x^4*l...
 

3.8.31.6 Sympy [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 2936 vs. \(2 (17) = 34\).

Time = 120.35 (sec) , antiderivative size = 2936, normalized size of antiderivative = 139.81 \[ \text {the integral} =\text {Too large to display} \]

input

integrate(((-64*exp(x)*x+2)*exp(exp(x)-3)**2+((-64*exp(x)*x+4)*ln(x)-64)*e 
xp(exp(x)-3)+2*ln(x)**2-64*ln(x)+30*x)/((548354040*ln(x)**12-1096708080*x* 
ln(x)**10+795997800*x**2*ln(x)**8-256183200*x**3*ln(x)**6+35581000*x**4*ln 
(x)**4-1707888*x**5*ln(x)**2+12376*x**6)*exp(exp(x)-3)**22+(1855967520*ln( 
x)**15-5905351200*x*ln(x)**13+7429312800*x**2*ln(x)**11-4696692000*x**3*ln 
(x)**9+1565564000*x**4*ln(x)**7-263014752*x**5*ln(x)**5+19059040*x**6*ln(x 
)**3-388960*x**7*ln(x))*exp(exp(x)-3)**19+(2203961430*ln(x)**16-8014405200 
*x*ln(x)**14+11763078600*x**2*ln(x)**12-8923714800*x**3*ln(x)**10+37182145 
00*x**4*ln(x)**8-832880048*x**5*ln(x)**6+90530440*x**6*ln(x)**4-3695120*x* 
*7*ln(x)**2+24310*x**8)*exp(exp(x)-3)**18+(2333606220*ln(x)**17-9617286240 
*x*ln(x)**15+16287339600*x**2*ln(x)**13-14602442400*x**3*ln(x)**11+7436429 
000*x**4*ln(x)**9-2141691552*x**5*ln(x)**7+325909584*x**6*ln(x)**5-2217072 
0*x**7*ln(x)**3+437580*x**8*ln(x))*exp(exp(x)-3)**17+(2203961430*ln(x)**18 
-10218366630*x*ln(x)**16+19777483800*x**2*ln(x)**14-20686793400*x**3*ln(x) 
**12+12641929300*x**4*ln(x)**10-4551094548*x**5*ln(x)**8+923410488*x**6*ln 
(x)**6-94225560*x**7*ln(x)**4+3719430*x**8*ln(x)**2-24310*x**9)*exp(exp(x) 
-3)**16+(1855967520*ln(x)**19-9617286240*x*ln(x)**17+21095982720*x**2*ln(x 
)**15-25460668800*x**3*ln(x)**13+18388260800*x**4*ln(x)**11-8090834752*x** 
5*ln(x)**9+2110652544*x**6*ln(x)**7-301521792*x**7*ln(x)**5+19836960*x**8* 
ln(x)**3-388960*x**9*ln(x))*exp(exp(x)-3)**15+(1391975640*ln(x)**20-801440 
5200*x*ln(x)**18+19777483800*x**2*ln(x)**16-27279288000*x**3*ln(x)**14+229 
85326000*x**4*ln(x)**12-12136252128*x**5*ln(x)**10+3957473520*x**6*ln(x)** 
8-753804480*x**7*ln(x)**6+74388600*x**8*ln(x)**4-2917200*x**9*ln(x)**2+194 
48*x**10)*exp(exp(x)-3)**14+(927983760*ln(x)**21-5905351200*x*ln(x)**19+16 
287339600*x**2*ln(x)**17-25460668800*x**3*ln(x)**15+24753428000*x**4*ln(x) 
**13-15446139072*x**5*ln(x)**11+6156069920*x**6*ln(x)**9-1507608960*x**7*l 
n(x)**7+208288080*x**8*ln(x)**5-13613600*x**9*ln(x)**3+272272*x**10*ln(x)) 
*exp(exp(x)-3)**13+(548354040*ln(x)**22-3838478280*x*ln(x)**20+11763078600 
*x**2*ln(x)**18-20686793400*x**3*ln(x)**16+22985326000*x**4*ln(x)**14-1673 
3317328*x**5*ln(x)**12+8002890896*x**6*ln(x)**10-2449864560*x**7*ln(x)**8+ 
451290840*x**8*ln(x)**6-44244200*x**9*ln(x)**4+1769768*x**10*ln(x)**2-1237 
6*x**11)*exp(exp(x)-3)**12+(286097760*ln(x)**23-2193416160*x*ln(x)**21+742 
9312800*x**2*ln(x)**19-14602442400*x**3*ln(x)**17+18388260800*x**4*ln(x)** 
15-15446139072*x**5*ln(x)**13+8730426432*x**6*ln(x)**11-3266486080*x**7*ln 
(x)**9+773641440*x**8*ln(x)**7-106186080*x**9*ln(x)**5+7079072*x**10*ln(x) 
**3-148512*x**11*ln(x))*exp(exp(x)-3)**11+(131128140*ln(x)**24-1096708080* 
x*ln(x)**22+4086122040*x**2*ln(x)**20-8923714800*x**3*ln(x)**18+1264192930 
0*x**4*ln(x)**16-12136252128*x**5*ln(x)**14+8002890896*x**6*ln(x)**12-3593 
134688*x**7*ln(x)**10+1063756980*x**8*ln(x)**8-194674480*x**9*ln(x)**6+194 
67448*x**10*ln(x)**4-816816*x**11*ln(x)**2+6188*x**12)*exp(exp(x)-3)**10+( 
52451256*ln(x)**25-476829600*x*ln(x)**23+1945772400*x**2*ln(x)**21-4696692 
000*x**3*ln(x)**19+7436429000*x**4*ln(x)**17-8090834752*x**5*ln(x)**15+615 
6069920*x**6*ln(x)**13-3266486080*x**7*ln(x)**11+1181952200*x**8*ln(x)**9- 
278106400*x**9*ln(x)**7+38934896*x**10*ln(x)**5-2722720*x**11*ln(x)**3+618 
80*x**12*ln(x))*exp(exp(x)-3)**9+(18156204*ln(x)**26-178811100*x*ln(x)**24 
[phone]*x**2*ln(x)**22-2113511400*x**3*ln(x)**20+3718214500*x**4*ln(x)* 
*18-4551094548*x**5*ln(x)**16+3957473520*x**6*ln(x)**14-2449864560*x**7*ln 
(x)**12+1063756980*x**8*ln(x)**10-312869700*x**9*ln(x)**8+58402344*x**10*l 
n(x)**6-6126120*x**11*ln(x)**4+278460*x**12*ln(x)**2-2380*x**13)*exp(exp(x 
)-3)**8+(5379616*ln(x)**27-57219552*x*ln(x)**25+276868800*x**2*ln(x)**23-8 
05147200*x**3*ln(x)**21+1565564000*x**4*ln(x)**19-2141691552*x**5*ln(x)**1 
7+2110652544*x**6*ln(x)**15-1507608960*x**7*ln(x)**13+773641440*x**8*ln(x) 
**11-278106400*x**9*ln(x)**9+66745536*x**10*ln(x)**7-9801792*x**11*ln(x)** 
5+742560*x**12*ln(x)**3-19040*x**13*ln(x))*exp(exp(x)-3)**7+(1344904*ln(x) 
**28-15405264*x*ln(x)**26+80753400*x**2*ln(x)**24-256183200*x**3*ln(x)**22 
[phone]*x**4*ln(x)**20-832880048*x**5*ln(x)**18+923410488*x**6*ln(x)**1 
6-753804480*x**7*ln(x)**14+451290840*x**8*ln(x)**12-194674480*x**9*ln(x)** 
10+58402344*x**10*ln(x)**8-11435424*x**11*ln(x)**6+1299480*x**12*ln(x)**4- 
66640*x**13*ln(x)**2+680*x**14)*exp(exp(x)-3)**6+(278256*ln(x)**29-3423392 
*x*ln(x)**27+19380816*x**2*ln(x)**25-66830400*x**3*ln(x)**23+156556400*x** 
4*ln(x)**21-263014752*x**5*ln(x)**19+325909584*x**6*ln(x)**17-301521792*x* 
*7*ln(x)**15+208288080*x**8*ln(x)**13-106186080*x**9*ln(x)**11+38934896*x* 
*10*ln(x)**9-9801792*x**11*ln(x)**7+1559376*x**12*ln(x)**5-133280*x**13*ln 
(x)**3+4080*x**14*ln(x))*exp(exp(x)-3)**5+(46376*ln(x)**30-611320*x*ln(x)* 
*28+3727080*x**2*ln(x)**26-13923000*x**3*ln(x)**24+35581000*x**4*ln(x)**22 
-65753688*x**5*ln(x)**20+90530440*x**6*ln(x)**18-94225560*x**7*ln(x)**16+7 
4388600*x**8*ln(x)**14-44244200*x**9*ln(x)**12+19467448*x**10*ln(x)**10-61 
26120*x**11*ln(x)**8+1299480*x**12*ln(x)**6-166600*x**13*ln(x)**4+10200*x* 
*14*ln(x)**2-136*x**15)*exp(exp(x)-3)**4+(5984*ln(x)**31-84320*x*ln(x)**29 
+552160*x**2*ln(x)**27-2227680*x**3*ln(x)**25+6188000*x**4*ln(x)**23-12524 
512*x**5*ln(x)**21+19059040*x**6*ln(x)**19-22170720*x**7*ln(x)**17+1983696 
0*x**8*ln(x)**15-13613600*x**9*ln(x)**13+7079072*x**10*ln(x)**11-2722720*x 
**11*ln(x)**9+742560*x**12*ln(x)**7-133280*x**13*ln(x)**5+13600*x**14*ln(x 
)**3-544*x**15*ln(x))*exp(exp(x)-3)**3+(561*ln(x)**32-8432*x*ln(x)**30+591 
60*x**2*ln(x)**28-257040*x**3*ln(x)**26+773500*x**4*ln(x)**24-1707888*x**5 
*ln(x)**22+2858856*x**6*ln(x)**20-3695120*x**7*ln(x)**18+3719430*x**8*ln(x 
)**16-2917200*x**9*ln(x)**14+1769768*x**10*ln(x)**12-816816*x**11*ln(x)**1 
0+278460*x**12*ln(x)**8-66640*x**13*ln(x)**6+10200*x**14*ln(x)**4-816*x**1 
5*ln(x)**2+17*x**16)*exp(exp(x)-3)**2+(34*ln(x)**33-544*x*ln(x)**31+4080*x 
**2*ln(x)**29-19040*x**3*ln(x)**27+61880*x**4*ln(x)**25-148512*x**5*ln(x)* 
*23+272272*x**6*ln(x)**21-388960*x**7*ln(x)**19+437580*x**8*ln(x)**17-3889 
60*x**9*ln(x)**15+272272*x**10*ln(x)**13-148512*x**11*ln(x)**11+61880*x**1 
2*ln(x)**9-19040*x**13*ln(x)**7+4080*x**14*ln(x)**5-544*x**15*ln(x)**3+34* 
x**16*ln(x))*exp(exp(x)-3)+(561*ln(x)**2-17*x)*exp(exp(x)-3)**32+(5984*ln( 
x)**3-544*x*ln(x))*exp(exp(x)-3)**31+(46376*ln(x)**4-8432*x*ln(x)**2+136*x 
**2)*exp(exp(x)-3)**30+(278256*ln(x)**5-84320*x*ln(x)**3+4080*x**2*ln(x))* 
exp(exp(x)-3)**29-x**17+ln(x)**34+exp(exp(x)-3)**34-17*x*ln(x)**32+136*x** 
2*ln(x)**30-680*x**3*ln(x)**28+2380*x**4*ln(x)**26-6188*x**5*ln(x)**24+123 
76*x**6*ln(x)**22-19448*x**7*ln(x)**20+24310*x**8*ln(x)**18-24310*x**9*ln( 
x)**16+19448*x**10*ln(x)**14-12376*x**11*ln(x)**12+6188*x**12*ln(x)**10-23 
80*x**13*ln(x)**8+680*x**14*ln(x)**6-136*x**15*ln(x)**4+17*x**16*ln(x)**2+ 
34*ln(x)*exp(exp(x)-3)**33+(1344904*ln(x)**6-611320*x*ln(x)**4+59160*x**2* 
ln(x)**2-680*x**3)*exp(exp(x)-3)**28+(5379616*ln(x)**7-3423392*x*ln(x)**5+ 
552160*x**2*ln(x)**3-19040*x**3*ln(x))*exp(exp(x)-3)**27+(18156204*ln(x)** 
8-15405264*x*ln(x)**6+3727080*x**2*ln(x)**4-257040*x**3*ln(x)**2+2380*x**4 
)*exp(exp(x)-3)**26+(52451256*ln(x)**9-57219552*x*ln(x)**7+19380816*x**2*l 
n(x)**5-2227680*x**3*ln(x)**3+61880*x**4*ln(x))*exp(exp(x)-3)**25+(1311281 
40*ln(x)**10-178811100*x*ln(x)**8+80753400*x**2*ln(x)**6-13923000*x**3*ln( 
x)**4+773500*x**4*ln(x)**2-6188*x**5)*exp(exp(x)-3)**24+(286097760*ln(x)** 
11-476829600*x*ln(x)**9+276868800*x**2*ln(x)**7-66830400*x**3*ln(x)**5+618 
8000*x**4*ln(x)**3-148512*x**5*ln(x))*exp(exp(x)-3)**23+(927983760*ln(x)** 
13-2193416160*x*ln(x)**11+1945772400*x**2*ln(x)**9-805147200*x**3*ln(x)**7 
[phone]*x**4*ln(x)**5-12524512*x**5*ln(x)**3+272272*x**6*ln(x))*exp(exp 
(x)-3)**21+(1391975640*ln(x)**14-3838478280*x*ln(x)**12+4086122040*x**2*ln 
(x)**10-2113511400*x**3*ln(x)**8+547947400*x**4*ln(x)**6-65753688*x**5*ln( 
x)**4+2858856*x**6*ln(x)**2-19448*x**7)*exp(exp(x)-3)**20),x)
 

output

2*x/(x**16 - 16*x**15*log(x)**2 + 120*x**14*log(x)**4 - 560*x**13*log(x)** 
6 + 1820*x**12*log(x)**8 - 4368*x**11*log(x)**10 + 8008*x**10*log(x)**12 - 
 11440*x**9*log(x)**14 + 12870*x**8*log(x)**16 - 11440*x**7*log(x)**18 + 8 
008*x**6*log(x)**20 - 4368*x**5*log(x)**22 + 1820*x**4*log(x)**24 - 560*x* 
*3*log(x)**26 + 120*x**2*log(x)**28 - 16*x*log(x)**30 + (-16*x + 496*log(x 
)**2)*exp(30*exp(x) - 90) + (-480*x*log(x) + 4960*log(x)**3)*exp(29*exp(x) 
 - 87) + (120*x**2 - 6960*x*log(x)**2 + 35960*log(x)**4)*exp(28*exp(x) - 8 
4) + (3360*x**2*log(x) - 64960*x*log(x)**3 + 201376*log(x)**5)*exp(27*exp( 
x) - 81) + (-560*x**3 + 45360*x**2*log(x)**2 - 438480*x*log(x)**4 + 906192 
*log(x)**6)*exp(26*exp(x) - 78) + (-14560*x**3*log(x) + 393120*x**2*log(x) 
**3 - 2280096*x*log(x)**5 + 3365856*log(x)**7)*exp(25*exp(x) - 75) + (1820 
*x**4 - 182000*x**3*log(x)**2 + 2457000*x**2*log(x)**4 - 9500400*x*log(x)* 
*6 + 10518300*log(x)**8)*exp(24*exp(x) - 72) + (43680*x**4*log(x) - 145600 
0*x**3*log(x)**3 + 11793600*x**2*log(x)**5 - 32572800*x*log(x)**7 + 280488 
00*log(x)**9)*exp(23*exp(x) - 69) + (-4368*x**5 + 502320*x**4*log(x)**2 - 
8372000*x**3*log(x)**4 + 45208800*x**2*log(x)**6 - 93646800*x*log(x)**8 + 
64512240*log(x)**10)*exp(22*exp(x) - 66) + (-96096*x**5*log(x) + 3683680*x 
**4*log(x)**3 - 36836800*x**3*log(x)**5 + 142084800*x**2*log(x)**7 - 22891 
4400*x*log(x)**9 + 129024480*log(x)**11)*exp(21*exp(x) - 63) + (8008*x**6 
- 1009008*x**5*log(x)**2 + 19339320*x**4*log(x)**4 - 128928800*x**3*log...
 

3.8.31.7 Maxima [F(-1)]

Timed out. \[ \text {the integral} =\text {Timed out} \]

input

integrate(((-64*exp(x)*x+2)*exp(exp(x)-3)^2+((-64*exp(x)*x+4)*log(x)-64)*e 
xp(exp(x)-3)+2*log(x)^2-64*log(x)+30*x)/((5984*log(x)^31-84320*x*log(x)^29 
+552160*x^2*log(x)^27-2227680*x^3*log(x)^25+6188000*x^4*log(x)^23-12524512 
*x^5*log(x)^21+19059040*x^6*log(x)^19-22170720*x^7*log(x)^17+19836960*x^8* 
log(x)^15-13613600*x^9*log(x)^13+7079072*x^10*log(x)^11-2722720*x^11*log(x 
)^9+742560*x^12*log(x)^7-133280*x^13*log(x)^5+13600*x^14*log(x)^3-544*x^15 
*log(x))*exp(exp(x)-3)^3+(561*log(x)^32-8432*x*log(x)^30+59160*x^2*log(x)^ 
28-257040*x^3*log(x)^26+773500*x^4*log(x)^24-1707888*x^5*log(x)^22+2858856 
*x^6*log(x)^20-3695120*x^7*log(x)^18+3719430*x^8*log(x)^16-2917200*x^9*log 
(x)^14+1769768*x^10*log(x)^12-816816*x^11*log(x)^10+278460*x^12*log(x)^8-6 
6640*x^13*log(x)^6+10200*x^14*log(x)^4-816*x^15*log(x)^2+17*x^16)*exp(exp( 
x)-3)^2+(34*log(x)^33-544*x*log(x)^31+4080*x^2*log(x)^29-19040*x^3*log(x)^ 
27+61880*x^4*log(x)^25-148512*x^5*log(x)^23+272272*x^6*log(x)^21-388960*x^ 
7*log(x)^19+437580*x^8*log(x)^17-388960*x^9*log(x)^15+272272*x^10*log(x)^1 
3-148512*x^11*log(x)^11+61880*x^12*log(x)^9-19040*x^13*log(x)^7+4080*x^14* 
log(x)^5-544*x^15*log(x)^3+34*x^16*log(x))*exp(exp(x)-3)+(561*log(x)^2-17* 
x)*exp(exp(x)-3)^32+(5984*log(x)^3-544*x*log(x))*exp(exp(x)-3)^31+(46376*l 
og(x)^4-8432*x*log(x)^2+136*x^2)*exp(exp(x)-3)^30+(278256*log(x)^5-84320*x 
*log(x)^3+4080*x^2*log(x))*exp(exp(x)-3)^29+(1344904*log(x)^6-611320*x*log 
(x)^4+59160*x^2*log(x)^2-680*x^3)*exp(exp(x)-3)^28+(5379616*log(x)^7-34233 
92*x*log(x)^5+552160*x^2*log(x)^3-19040*x^3*log(x))*exp(exp(x)-3)^27+(1815 
6204*log(x)^8-15405264*x*log(x)^6+3727080*x^2*log(x)^4-257040*x^3*log(x)^2 
+2380*x^4)*exp(exp(x)-3)^26+(52451256*log(x)^9-57219552*x*log(x)^7+1938081 
6*x^2*log(x)^5-2227680*x^3*log(x)^3+61880*x^4*log(x))*exp(exp(x)-3)^25+(13 
1128140*log(x)^10-178811100*x*log(x)^8+80753400*x^2*log(x)^6-13923000*x^3* 
log(x)^4+773500*x^4*log(x)^2-6188*x^5)*exp(exp(x)-3)^24+(286097760*log(x)^ 
11-476829600*x*log(x)^9+276868800*x^2*log(x)^7-66830400*x^3*log(x)^5+61880 
00*x^4*log(x)^3-148512*x^5*log(x))*exp(exp(x)-3)^23+(927983760*log(x)^13-2 
193416160*x*log(x)^11+1945772400*x^2*log(x)^9-805147200*x^3*log(x)^7+15655 
6400*x^4*log(x)^5-12524512*x^5*log(x)^3+272272*x^6*log(x))*exp(exp(x)-3)^2 
1+(1391975640*log(x)^14-3838478280*x*log(x)^12+4086122040*x^2*log(x)^10-21 
13511400*x^3*log(x)^8+547947400*x^4*log(x)^6-65753688*x^5*log(x)^4+2858856 
*x^6*log(x)^2-19448*x^7)*exp(exp(x)-3)^20+log(x)^34+exp(exp(x)-3)^34-x^17- 
17*x*log(x)^32+136*x^2*log(x)^30-680*x^3*log(x)^28+2380*x^4*log(x)^26-6188 
*x^5*log(x)^24+12376*x^6*log(x)^22-19448*x^7*log(x)^20+24310*x^8*log(x)^18 
-24310*x^9*log(x)^16+19448*x^10*log(x)^14-12376*x^11*log(x)^12+6188*x^12*l 
og(x)^10-2380*x^13*log(x)^8+680*x^14*log(x)^6-136*x^15*log(x)^4+17*x^16*lo 
g(x)^2+34*log(x)*exp(exp(x)-3)^33+(548354040*log(x)^12-1096708080*x*log(x) 
^10+795997800*x^2*log(x)^8-256183200*x^3*log(x)^6+35581000*x^4*log(x)^4-17 
07888*x^5*log(x)^2+12376*x^6)*exp(exp(x)-3)^22+(1855967520*log(x)^15-59053 
51200*x*log(x)^13+7429312800*x^2*log(x)^11-4696692000*x^3*log(x)^9+1565564 
000*x^4*log(x)^7-263014752*x^5*log(x)^5+19059040*x^6*log(x)^3-388960*x^7*l 
og(x))*exp(exp(x)-3)^19+(2203961430*log(x)^16-8014405200*x*log(x)^14+11763 
078600*x^2*log(x)^12-8923714800*x^3*log(x)^10+3718214500*x^4*log(x)^8-8328 
80048*x^5*log(x)^6+90530440*x^6*log(x)^4-3695120*x^7*log(x)^2+24310*x^8)*e 
xp(exp(x)-3)^18+(2333606220*log(x)^17-9617286240*x*log(x)^15+16287339600*x 
^2*log(x)^13-14602442400*x^3*log(x)^11+7436429000*x^4*log(x)^9-2141691552* 
x^5*log(x)^7+325909584*x^6*log(x)^5-22170720*x^7*log(x)^3+437580*x^8*log(x 
))*exp(exp(x)-3)^17+(2203961430*log(x)^18-10218366630*x*log(x)^16+19777483 
800*x^2*log(x)^14-20686793400*x^3*log(x)^12+12641929300*x^4*log(x)^10-4551 
094548*x^5*log(x)^8+923410488*x^6*log(x)^6-94225560*x^7*log(x)^4+3719430*x 
^8*log(x)^2-24310*x^9)*exp(exp(x)-3)^16+(1855967520*log(x)^19-9617286240*x 
*log(x)^17+21095982720*x^2*log(x)^15-25460668800*x^3*log(x)^13+18388260800 
*x^4*log(x)^11-8090834752*x^5*log(x)^9+2110652544*x^6*log(x)^7-301521792*x 
^7*log(x)^5+19836960*x^8*log(x)^3-388960*x^9*log(x))*exp(exp(x)-3)^15+(139 
1975640*log(x)^20-8014405200*x*log(x)^18+19777483800*x^2*log(x)^16-2727928 
8000*x^3*log(x)^14+22985326000*x^4*log(x)^12-12136252128*x^5*log(x)^10+395 
7473520*x^6*log(x)^8-753804480*x^7*log(x)^6+74388600*x^8*log(x)^4-2917200* 
x^9*log(x)^2+19448*x^10)*exp(exp(x)-3)^14+(927983760*log(x)^21-5905351200* 
x*log(x)^19+16287339600*x^2*log(x)^17-25460668800*x^3*log(x)^15+2475342800 
0*x^4*log(x)^13-15446139072*x^5*log(x)^11+6156069920*x^6*log(x)^9-15076089 
60*x^7*log(x)^7+208288080*x^8*log(x)^5-13613600*x^9*log(x)^3+272272*x^10*l 
og(x))*exp(exp(x)-3)^13+(548354040*log(x)^22-3838478280*x*log(x)^20+117630 
78600*x^2*log(x)^18-20686793400*x^3*log(x)^16+22985326000*x^4*log(x)^14-16 
733317328*x^5*log(x)^12+8002890896*x^6*log(x)^10-2449864560*x^7*log(x)^8+4 
51290840*x^8*log(x)^6-44244200*x^9*log(x)^4+1769768*x^10*log(x)^2-12376*x^ 
11)*exp(exp(x)-3)^12+(286097760*log(x)^23-2193416160*x*log(x)^21+742931280 
0*x^2*log(x)^19-14602442400*x^3*log(x)^17+18388260800*x^4*log(x)^15-154461 
39072*x^5*log(x)^13+8730426432*x^6*log(x)^11-3266486080*x^7*log(x)^9+77364 
1440*x^8*log(x)^7-106186080*x^9*log(x)^5+7079072*x^10*log(x)^3-148512*x^11 
*log(x))*exp(exp(x)-3)^11+(131128140*log(x)^24-1096708080*x*log(x)^22+4086 
122040*x^2*log(x)^20-8923714800*x^3*log(x)^18+12641929300*x^4*log(x)^16-12 
136252128*x^5*log(x)^14+8002890896*x^6*log(x)^12-3593134688*x^7*log(x)^10+ 
1063756980*x^8*log(x)^8-194674480*x^9*log(x)^6+19467448*x^10*log(x)^4-8168 
16*x^11*log(x)^2+6188*x^12)*exp(exp(x)-3)^10+(52451256*log(x)^25-476829600 
*x*log(x)^23+1945772400*x^2*log(x)^21-4696692000*x^3*log(x)^19+7436429000* 
x^4*log(x)^17-8090834752*x^5*log(x)^15+6156069920*x^6*log(x)^13-3266486080 
*x^7*log(x)^11+1181952200*x^8*log(x)^9-278106400*x^9*log(x)^7+38934896*x^1 
0*log(x)^5-2722720*x^11*log(x)^3+61880*x^12*log(x))*exp(exp(x)-3)^9+(18156 
204*log(x)^26-178811100*x*log(x)^24+795997800*x^2*log(x)^22-2113511400*x^3 
*log(x)^20+3718214500*x^4*log(x)^18-4551094548*x^5*log(x)^16+3957473520*x^ 
6*log(x)^14-2449864560*x^7*log(x)^12+1063756980*x^8*log(x)^10-312869700*x^ 
9*log(x)^8+58402344*x^10*log(x)^6-6126120*x^11*log(x)^4+278460*x^12*log(x) 
^2-2380*x^13)*exp(exp(x)-3)^8+(5379616*log(x)^27-57219552*x*log(x)^25+2768 
68800*x^2*log(x)^23-805147200*x^3*log(x)^21+1565564000*x^4*log(x)^19-21416 
91552*x^5*log(x)^17+2110652544*x^6*log(x)^15-1507608960*x^7*log(x)^13+7736 
41440*x^8*log(x)^11-278106400*x^9*log(x)^9+66745536*x^10*log(x)^7-9801792* 
x^11*log(x)^5+742560*x^12*log(x)^3-19040*x^13*log(x))*exp(exp(x)-3)^7+(134 
4904*log(x)^28-15405264*x*log(x)^26+80753400*x^2*log(x)^24-256183200*x^3*l 
og(x)^22+547947400*x^4*log(x)^20-832880048*x^5*log(x)^18+923410488*x^6*log 
(x)^16-753804480*x^7*log(x)^14+451290840*x^8*log(x)^12-194674480*x^9*log(x 
)^10+58402344*x^10*log(x)^8-11435424*x^11*log(x)^6+1299480*x^12*log(x)^4-6 
6640*x^13*log(x)^2+680*x^14)*exp(exp(x)-3)^6+(278256*log(x)^29-3423392*x*l 
og(x)^27+19380816*x^2*log(x)^25-66830400*x^3*log(x)^23+156556400*x^4*log(x 
)^21-263014752*x^5*log(x)^19+325909584*x^6*log(x)^17-301521792*x^7*log(x)^ 
15+208288080*x^8*log(x)^13-106186080*x^9*log(x)^11+38934896*x^10*log(x)^9- 
9801792*x^11*log(x)^7+1559376*x^12*log(x)^5-133280*x^13*log(x)^3+4080*x^14 
*log(x))*exp(exp(x)-3)^5+(46376*log(x)^30-611320*x*log(x)^28+3727080*x^2*l 
og(x)^26-13923000*x^3*log(x)^24+35581000*x^4*log(x)^22-65753688*x^5*log(x) 
^20+90530440*x^6*log(x)^18-94225560*x^7*log(x)^16+74388600*x^8*log(x)^14-4 
4244200*x^9*log(x)^12+19467448*x^10*log(x)^10-6126120*x^11*log(x)^8+129948 
0*x^12*log(x)^6-166600*x^13*log(x)^4+10200*x^14*log(x)^2-136*x^15)*exp(exp 
(x)-3)^4),x, algorithm=\
 

output

Timed out
 

3.8.31.8 Giac [F(-1)]

Timed out. \[ \text {the integral} =\text {Timed out} \]

input

integrate(((-64*exp(x)*x+2)*exp(exp(x)-3)^2+((-64*exp(x)*x+4)*log(x)-64)*e 
xp(exp(x)-3)+2*log(x)^2-64*log(x)+30*x)/((5984*log(x)^31-84320*x*log(x)^29 
+552160*x^2*log(x)^27-2227680*x^3*log(x)^25+6188000*x^4*log(x)^23-12524512 
*x^5*log(x)^21+19059040*x^6*log(x)^19-22170720*x^7*log(x)^17+19836960*x^8* 
log(x)^15-13613600*x^9*log(x)^13+7079072*x^10*log(x)^11-2722720*x^11*log(x 
)^9+742560*x^12*log(x)^7-133280*x^13*log(x)^5+13600*x^14*log(x)^3-544*x^15 
*log(x))*exp(exp(x)-3)^3+(561*log(x)^32-8432*x*log(x)^30+59160*x^2*log(x)^ 
28-257040*x^3*log(x)^26+773500*x^4*log(x)^24-1707888*x^5*log(x)^22+2858856 
*x^6*log(x)^20-3695120*x^7*log(x)^18+3719430*x^8*log(x)^16-2917200*x^9*log 
(x)^14+1769768*x^10*log(x)^12-816816*x^11*log(x)^10+278460*x^12*log(x)^8-6 
6640*x^13*log(x)^6+10200*x^14*log(x)^4-816*x^15*log(x)^2+17*x^16)*exp(exp( 
x)-3)^2+(34*log(x)^33-544*x*log(x)^31+4080*x^2*log(x)^29-19040*x^3*log(x)^ 
27+61880*x^4*log(x)^25-148512*x^5*log(x)^23+272272*x^6*log(x)^21-388960*x^ 
7*log(x)^19+437580*x^8*log(x)^17-388960*x^9*log(x)^15+272272*x^10*log(x)^1 
3-148512*x^11*log(x)^11+61880*x^12*log(x)^9-19040*x^13*log(x)^7+4080*x^14* 
log(x)^5-544*x^15*log(x)^3+34*x^16*log(x))*exp(exp(x)-3)+(561*log(x)^2-17* 
x)*exp(exp(x)-3)^32+(5984*log(x)^3-544*x*log(x))*exp(exp(x)-3)^31+(46376*l 
og(x)^4-8432*x*log(x)^2+136*x^2)*exp(exp(x)-3)^30+(278256*log(x)^5-84320*x 
*log(x)^3+4080*x^2*log(x))*exp(exp(x)-3)^29+(1344904*log(x)^6-611320*x*log 
(x)^4+59160*x^2*log(x)^2-680*x^3)*exp(exp(x)-3)^28+(5379616*log(x)^7-34233 
92*x*log(x)^5+552160*x^2*log(x)^3-19040*x^3*log(x))*exp(exp(x)-3)^27+(1815 
6204*log(x)^8-15405264*x*log(x)^6+3727080*x^2*log(x)^4-257040*x^3*log(x)^2 
+2380*x^4)*exp(exp(x)-3)^26+(52451256*log(x)^9-57219552*x*log(x)^7+1938081 
6*x^2*log(x)^5-2227680*x^3*log(x)^3+61880*x^4*log(x))*exp(exp(x)-3)^25+(13 
1128140*log(x)^10-178811100*x*log(x)^8+80753400*x^2*log(x)^6-13923000*x^3* 
log(x)^4+773500*x^4*log(x)^2-6188*x^5)*exp(exp(x)-3)^24+(286097760*log(x)^ 
11-476829600*x*log(x)^9+276868800*x^2*log(x)^7-66830400*x^3*log(x)^5+61880 
00*x^4*log(x)^3-148512*x^5*log(x))*exp(exp(x)-3)^23+(927983760*log(x)^13-2 
193416160*x*log(x)^11+1945772400*x^2*log(x)^9-805147200*x^3*log(x)^7+15655 
6400*x^4*log(x)^5-12524512*x^5*log(x)^3+272272*x^6*log(x))*exp(exp(x)-3)^2 
1+(1391975640*log(x)^14-3838478280*x*log(x)^12+4086122040*x^2*log(x)^10-21 
13511400*x^3*log(x)^8+547947400*x^4*log(x)^6-65753688*x^5*log(x)^4+2858856 
*x^6*log(x)^2-19448*x^7)*exp(exp(x)-3)^20+log(x)^34+exp(exp(x)-3)^34-x^17- 
17*x*log(x)^32+136*x^2*log(x)^30-680*x^3*log(x)^28+2380*x^4*log(x)^26-6188 
*x^5*log(x)^24+12376*x^6*log(x)^22-19448*x^7*log(x)^20+24310*x^8*log(x)^18 
-24310*x^9*log(x)^16+19448*x^10*log(x)^14-12376*x^11*log(x)^12+6188*x^12*l 
og(x)^10-2380*x^13*log(x)^8+680*x^14*log(x)^6-136*x^15*log(x)^4+17*x^16*lo 
g(x)^2+34*log(x)*exp(exp(x)-3)^33+(548354040*log(x)^12-1096708080*x*log(x) 
^10+795997800*x^2*log(x)^8-256183200*x^3*log(x)^6+35581000*x^4*log(x)^4-17 
07888*x^5*log(x)^2+12376*x^6)*exp(exp(x)-3)^22+(1855967520*log(x)^15-59053 
51200*x*log(x)^13+7429312800*x^2*log(x)^11-4696692000*x^3*log(x)^9+1565564 
000*x^4*log(x)^7-263014752*x^5*log(x)^5+19059040*x^6*log(x)^3-388960*x^7*l 
og(x))*exp(exp(x)-3)^19+(2203961430*log(x)^16-8014405200*x*log(x)^14+11763 
078600*x^2*log(x)^12-8923714800*x^3*log(x)^10+3718214500*x^4*log(x)^8-8328 
80048*x^5*log(x)^6+90530440*x^6*log(x)^4-3695120*x^7*log(x)^2+24310*x^8)*e 
xp(exp(x)-3)^18+(2333606220*log(x)^17-9617286240*x*log(x)^15+16287339600*x 
^2*log(x)^13-14602442400*x^3*log(x)^11+7436429000*x^4*log(x)^9-2141691552* 
x^5*log(x)^7+325909584*x^6*log(x)^5-22170720*x^7*log(x)^3+437580*x^8*log(x 
))*exp(exp(x)-3)^17+(2203961430*log(x)^18-10218366630*x*log(x)^16+19777483 
800*x^2*log(x)^14-20686793400*x^3*log(x)^12+12641929300*x^4*log(x)^10-4551 
094548*x^5*log(x)^8+923410488*x^6*log(x)^6-94225560*x^7*log(x)^4+3719430*x 
^8*log(x)^2-24310*x^9)*exp(exp(x)-3)^16+(1855967520*log(x)^19-9617286240*x 
*log(x)^17+21095982720*x^2*log(x)^15-25460668800*x^3*log(x)^13+18388260800 
*x^4*log(x)^11-8090834752*x^5*log(x)^9+2110652544*x^6*log(x)^7-301521792*x 
^7*log(x)^5+19836960*x^8*log(x)^3-388960*x^9*log(x))*exp(exp(x)-3)^15+(139 
1975640*log(x)^20-8014405200*x*log(x)^18+19777483800*x^2*log(x)^16-2727928 
8000*x^3*log(x)^14+22985326000*x^4*log(x)^12-12136252128*x^5*log(x)^10+395 
7473520*x^6*log(x)^8-753804480*x^7*log(x)^6+74388600*x^8*log(x)^4-2917200* 
x^9*log(x)^2+19448*x^10)*exp(exp(x)-3)^14+(927983760*log(x)^21-5905351200* 
x*log(x)^19+16287339600*x^2*log(x)^17-25460668800*x^3*log(x)^15+2475342800 
0*x^4*log(x)^13-15446139072*x^5*log(x)^11+6156069920*x^6*log(x)^9-15076089 
60*x^7*log(x)^7+208288080*x^8*log(x)^5-13613600*x^9*log(x)^3+272272*x^10*l 
og(x))*exp(exp(x)-3)^13+(548354040*log(x)^22-3838478280*x*log(x)^20+117630 
78600*x^2*log(x)^18-20686793400*x^3*log(x)^16+22985326000*x^4*log(x)^14-16 
733317328*x^5*log(x)^12+8002890896*x^6*log(x)^10-2449864560*x^7*log(x)^8+4 
51290840*x^8*log(x)^6-44244200*x^9*log(x)^4+1769768*x^10*log(x)^2-12376*x^ 
11)*exp(exp(x)-3)^12+(286097760*log(x)^23-2193416160*x*log(x)^21+742931280 
0*x^2*log(x)^19-14602442400*x^3*log(x)^17+18388260800*x^4*log(x)^15-154461 
39072*x^5*log(x)^13+8730426432*x^6*log(x)^11-3266486080*x^7*log(x)^9+77364 
1440*x^8*log(x)^7-106186080*x^9*log(x)^5+7079072*x^10*log(x)^3-148512*x^11 
*log(x))*exp(exp(x)-3)^11+(131128140*log(x)^24-1096708080*x*log(x)^22+4086 
122040*x^2*log(x)^20-8923714800*x^3*log(x)^18+12641929300*x^4*log(x)^16-12 
136252128*x^5*log(x)^14+8002890896*x^6*log(x)^12-3593134688*x^7*log(x)^10+ 
1063756980*x^8*log(x)^8-194674480*x^9*log(x)^6+19467448*x^10*log(x)^4-8168 
16*x^11*log(x)^2+6188*x^12)*exp(exp(x)-3)^10+(52451256*log(x)^25-476829600 
*x*log(x)^23+1945772400*x^2*log(x)^21-4696692000*x^3*log(x)^19+7436429000* 
x^4*log(x)^17-8090834752*x^5*log(x)^15+6156069920*x^6*log(x)^13-3266486080 
*x^7*log(x)^11+1181952200*x^8*log(x)^9-278106400*x^9*log(x)^7+38934896*x^1 
0*log(x)^5-2722720*x^11*log(x)^3+61880*x^12*log(x))*exp(exp(x)-3)^9+(18156 
204*log(x)^26-178811100*x*log(x)^24+795997800*x^2*log(x)^22-2113511400*x^3 
*log(x)^20+3718214500*x^4*log(x)^18-4551094548*x^5*log(x)^16+3957473520*x^ 
6*log(x)^14-2449864560*x^7*log(x)^12+1063756980*x^8*log(x)^10-312869700*x^ 
9*log(x)^8+58402344*x^10*log(x)^6-6126120*x^11*log(x)^4+278460*x^12*log(x) 
^2-2380*x^13)*exp(exp(x)-3)^8+(5379616*log(x)^27-57219552*x*log(x)^25+2768 
68800*x^2*log(x)^23-805147200*x^3*log(x)^21+1565564000*x^4*log(x)^19-21416 
91552*x^5*log(x)^17+2110652544*x^6*log(x)^15-1507608960*x^7*log(x)^13+7736 
41440*x^8*log(x)^11-278106400*x^9*log(x)^9+66745536*x^10*log(x)^7-9801792* 
x^11*log(x)^5+742560*x^12*log(x)^3-19040*x^13*log(x))*exp(exp(x)-3)^7+(134 
4904*log(x)^28-15405264*x*log(x)^26+80753400*x^2*log(x)^24-256183200*x^3*l 
og(x)^22+547947400*x^4*log(x)^20-832880048*x^5*log(x)^18+923410488*x^6*log 
(x)^16-753804480*x^7*log(x)^14+451290840*x^8*log(x)^12-194674480*x^9*log(x 
)^10+58402344*x^10*log(x)^8-11435424*x^11*log(x)^6+1299480*x^12*log(x)^4-6 
6640*x^13*log(x)^2+680*x^14)*exp(exp(x)-3)^6+(278256*log(x)^29-3423392*x*l 
og(x)^27+19380816*x^2*log(x)^25-66830400*x^3*log(x)^23+156556400*x^4*log(x 
)^21-263014752*x^5*log(x)^19+325909584*x^6*log(x)^17-301521792*x^7*log(x)^ 
15+208288080*x^8*log(x)^13-106186080*x^9*log(x)^11+38934896*x^10*log(x)^9- 
9801792*x^11*log(x)^7+1559376*x^12*log(x)^5-133280*x^13*log(x)^3+4080*x^14 
*log(x))*exp(exp(x)-3)^5+(46376*log(x)^30-611320*x*log(x)^28+3727080*x^2*l 
og(x)^26-13923000*x^3*log(x)^24+35581000*x^4*log(x)^22-65753688*x^5*log(x) 
^20+90530440*x^6*log(x)^18-94225560*x^7*log(x)^16+74388600*x^8*log(x)^14-4 
4244200*x^9*log(x)^12+19467448*x^10*log(x)^10-6126120*x^11*log(x)^8+129948 
0*x^12*log(x)^6-166600*x^13*log(x)^4+10200*x^14*log(x)^2-136*x^15)*exp(exp 
(x)-3)^4),x, algorithm=\
 

output

Timed out
 

3.8.31.9 Mupad [F(-1)]

Timed out. \[ \text {the integral} =\text {Hanged} \]

input

int(-(64*log(x) - 30*x - 2*log(x)^2 + exp(2*exp(x) - 6)*(64*x*exp(x) - 2) 
+ exp(exp(x) - 3)*(log(x)*(64*x*exp(x) - 4) + 64))/(exp(34*exp(x) - 102) - 
 exp(4*exp(x) - 12)*(611320*x*log(x)^28 - 46376*log(x)^30 - 10200*x^14*log 
(x)^2 + 166600*x^13*log(x)^4 - 1299480*x^12*log(x)^6 + 6126120*x^11*log(x) 
^8 - 19467448*x^10*log(x)^10 + 44244200*x^9*log(x)^12 - 74388600*x^8*log(x 
)^14 + 94225560*x^7*log(x)^16 - 90530440*x^6*log(x)^18 + 65753688*x^5*log( 
x)^20 - 35581000*x^4*log(x)^22 + 13923000*x^3*log(x)^24 - 3727080*x^2*log( 
x)^26 + 136*x^15) - exp(19*exp(x) - 57)*(388960*x^7*log(x) + 5905351200*x* 
log(x)^13 - 1855967520*log(x)^15 - 19059040*x^6*log(x)^3 + 263014752*x^5*l 
og(x)^5 - 1565564000*x^4*log(x)^7 + 4696692000*x^3*log(x)^9 - 7429312800*x 
^2*log(x)^11) - exp(27*exp(x) - 81)*(19040*x^3*log(x) + 3423392*x*log(x)^5 
 - 5379616*log(x)^7 - 552160*x^2*log(x)^3) - 17*x*log(x)^32 - exp(7*exp(x) 
 - 21)*(19040*x^13*log(x) + 57219552*x*log(x)^25 - 5379616*log(x)^27 - 742 
560*x^12*log(x)^3 + 9801792*x^11*log(x)^5 - 66745536*x^10*log(x)^7 + 27810 
6400*x^9*log(x)^9 - 773641440*x^8*log(x)^11 + 1507608960*x^7*log(x)^13 - 2 
110652544*x^6*log(x)^15 + 2141691552*x^5*log(x)^17 - 1565564000*x^4*log(x) 
^19 + 805147200*x^3*log(x)^21 - 276868800*x^2*log(x)^23) + exp(31*exp(x) - 
 93)*(5984*log(x)^3 - 544*x*log(x)) - exp(28*exp(x) - 84)*(611320*x*log(x) 
^4 - 1344904*log(x)^6 - 59160*x^2*log(x)^2 + 680*x^3) - exp(15*exp(x) - 45 
)*(388960*x^9*log(x) + 9617286240*x*log(x)^17 - 1855967520*log(x)^19 - 198 
36960*x^8*log(x)^3 + 301521792*x^7*log(x)^5 - 2110652544*x^6*log(x)^7 + 80 
90834752*x^5*log(x)^9 - 18388260800*x^4*log(x)^11 + 25460668800*x^3*log(x) 
^13 - 21095982720*x^2*log(x)^15) + exp(9*exp(x) - 27)*(61880*x^12*log(x) - 
 476829600*x*log(x)^23 + 52451256*log(x)^25 - 2722720*x^11*log(x)^3 + 3893 
4896*x^10*log(x)^5 - 278106400*x^9*log(x)^7 + 1181952200*x^8*log(x)^9 - 32 
66486080*x^7*log(x)^11 + 6156069920*x^6*log(x)^13 - 8090834752*x^5*log(x)^ 
15 + 7436429000*x^4*log(x)^17 - 4696692000*x^3*log(x)^19 + 1945772400*x^2* 
log(x)^21) - exp(32*exp(x) - 96)*(17*x - 561*log(x)^2) - exp(24*exp(x) - 7 
2)*(178811100*x*log(x)^8 - 131128140*log(x)^10 - 773500*x^4*log(x)^2 + 139 
23000*x^3*log(x)^4 - 80753400*x^2*log(x)^6 + 6188*x^5) + log(x)^34 + exp(2 
2*exp(x) - 66)*(548354040*log(x)^12 - 1096708080*x*log(x)^10 - 1707888*x^5 
*log(x)^2 + 35581000*x^4*log(x)^4 - 256183200*x^3*log(x)^6 + 795997800*x^2 
*log(x)^8 + 12376*x^6) + 34*exp(33*exp(x) - 99)*log(x) - exp(23*exp(x) - 6 
9)*(148512*x^5*log(x) + 476829600*x*log(x)^9 - 286097760*log(x)^11 - 61880 
00*x^4*log(x)^3 + 66830400*x^3*log(x)^5 - 276868800*x^2*log(x)^7) - exp(12 
*exp(x) - 36)*(3838478280*x*log(x)^20 - 548354040*log(x)^22 - 1769768*x^10 
*log(x)^2 + 44244200*x^9*log(x)^4 - 451290840*x^8*log(x)^6 + 2449864560*x^ 
7*log(x)^8 - 8002890896*x^6*log(x)^10 + 16733317328*x^5*log(x)^12 - 229853 
26000*x^4*log(x)^14 + 20686793400*x^3*log(x)^16 - 11763078600*x^2*log(x)^1 
8 + 12376*x^11) + exp(6*exp(x) - 18)*(1344904*log(x)^28 - 15405264*x*log(x 
)^26 - 66640*x^13*log(x)^2 + 1299480*x^12*log(x)^4 - 11435424*x^11*log(x)^ 
6 + 58402344*x^10*log(x)^8 - 194674480*x^9*log(x)^10 + 451290840*x^8*log(x 
)^12 - 753804480*x^7*log(x)^14 + 923410488*x^6*log(x)^16 - 832880048*x^5*l 
og(x)^18 + 547947400*x^4*log(x)^20 - 256183200*x^3*log(x)^22 + 80753400*x^ 
2*log(x)^24 + 680*x^14) + exp(2*exp(x) - 6)*(561*log(x)^32 - 8432*x*log(x) 
^30 - 816*x^15*log(x)^2 + 10200*x^14*log(x)^4 - 66640*x^13*log(x)^6 + 2784 
60*x^12*log(x)^8 - 816816*x^11*log(x)^10 + 1769768*x^10*log(x)^12 - 291720 
0*x^9*log(x)^14 + 3719430*x^8*log(x)^16 - 3695120*x^7*log(x)^18 + 2858856* 
x^6*log(x)^20 - 1707888*x^5*log(x)^22 + 773500*x^4*log(x)^24 - 257040*x^3* 
log(x)^26 + 59160*x^2*log(x)^28 + 17*x^16) - exp(8*exp(x) - 24)*(178811100 
*x*log(x)^24 - 18156204*log(x)^26 - 278460*x^12*log(x)^2 + 6126120*x^11*lo 
g(x)^4 - 58402344*x^10*log(x)^6 + 312869700*x^9*log(x)^8 - 1063756980*x^8* 
log(x)^10 + 2449864560*x^7*log(x)^12 - 3957473520*x^6*log(x)^14 + 45510945 
48*x^5*log(x)^16 - 3718214500*x^4*log(x)^18 + 2113511400*x^3*log(x)^20 - 7 
95997800*x^2*log(x)^22 + 2380*x^13) + 17*x^16*log(x)^2 - 136*x^15*log(x)^4 
 + 680*x^14*log(x)^6 - 2380*x^13*log(x)^8 + 6188*x^12*log(x)^10 - 12376*x^ 
11*log(x)^12 + 19448*x^10*log(x)^14 - 24310*x^9*log(x)^16 + 24310*x^8*log( 
x)^18 - 19448*x^7*log(x)^20 + 12376*x^6*log(x)^22 - 6188*x^5*log(x)^24 + 2 
380*x^4*log(x)^26 - 680*x^3*log(x)^28 + 136*x^2*log(x)^30 - exp(11*exp(x) 
- 33)*(148512*x^11*log(x) + 2193416160*x*log(x)^21 - 286097760*log(x)^23 - 
 7079072*x^10*log(x)^3 + 106186080*x^9*log(x)^5 - 773641440*x^8*log(x)^7 + 
 3266486080*x^7*log(x)^9 - 8730426432*x^6*log(x)^11 + 15446139072*x^5*log( 
x)^13 - 18388260800*x^4*log(x)^15 + 14602442400*x^3*log(x)^17 - 7429312800 
*x^2*log(x)^19) + exp(10*exp(x) - 30)*(131128140*log(x)^24 - 1096708080*x* 
log(x)^22 - 816816*x^11*log(x)^2 + 19467448*x^10*log(x)^4 - 194674480*x^9* 
log(x)^6 + 1063756980*x^8*log(x)^8 - 3593134688*x^7*log(x)^10 + 8002890896 
*x^6*log(x)^12 - 12136252128*x^5*log(x)^14 + 12641929300*x^4*log(x)^16 - 8 
923714800*x^3*log(x)^18 + 4086122040*x^2*log(x)^20 + 6188*x^12) + exp(25*e 
xp(x) - 75)*(61880*x^4*log(x) - 57219552*x*log(x)^7 + 52451256*log(x)^9 - 
2227680*x^3*log(x)^3 + 19380816*x^2*log(x)^5) + exp(29*exp(x) - 87)*(4080* 
x^2*log(x) - 84320*x*log(x)^3 + 278256*log(x)^5) - exp(16*exp(x) - 48)*(10 
218366630*x*log(x)^16 - 2203961430*log(x)^18 - 3719430*x^8*log(x)^2 + 9422 
5560*x^7*log(x)^4 - 923410488*x^6*log(x)^6 + 4551094548*x^5*log(x)^8 - 126 
41929300*x^4*log(x)^10 + 20686793400*x^3*log(x)^12 - 19777483800*x^2*log(x 
)^14 + 24310*x^9) + exp(26*exp(x) - 78)*(18156204*log(x)^8 - 15405264*x*lo 
g(x)^6 - 257040*x^3*log(x)^2 + 3727080*x^2*log(x)^4 + 2380*x^4) + exp(5*ex 
p(x) - 15)*(4080*x^14*log(x) - 3423392*x*log(x)^27 + 278256*log(x)^29 - 13 
3280*x^13*log(x)^3 + 1559376*x^12*log(x)^5 - 9801792*x^11*log(x)^7 + 38934 
896*x^10*log(x)^9 - 106186080*x^9*log(x)^11 + 208288080*x^8*log(x)^13 - 30 
1521792*x^7*log(x)^15 + 325909584*x^6*log(x)^17 - 263014752*x^5*log(x)^19 
+ 156556400*x^4*log(x)^21 - 66830400*x^3*log(x)^23 + 19380816*x^2*log(x)^2 
5) + exp(30*exp(x) - 90)*(46376*log(x)^4 - 8432*x*log(x)^2 + 136*x^2) + ex 
p(17*exp(x) - 51)*(437580*x^8*log(x) - 9617286240*x*log(x)^15 + 2333606220 
*log(x)^17 - 22170720*x^7*log(x)^3 + 325909584*x^6*log(x)^5 - 2141691552*x 
^5*log(x)^7 + 7436429000*x^4*log(x)^9 - 14602442400*x^3*log(x)^11 + 162873 
39600*x^2*log(x)^13) - x^17 - exp(3*exp(x) - 9)*(544*x^15*log(x) + 84320*x 
*log(x)^29 - 5984*log(x)^31 - 13600*x^14*log(x)^3 + 133280*x^13*log(x)^5 - 
 742560*x^12*log(x)^7 + 2722720*x^11*log(x)^9 - 7079072*x^10*log(x)^11 + 1 
3613600*x^9*log(x)^13 - 19836960*x^8*log(x)^15 + 22170720*x^7*log(x)^17 - 
19059040*x^6*log(x)^19 + 12524512*x^5*log(x)^21 - 6188000*x^4*log(x)^23 + 
2227680*x^3*log(x)^25 - 552160*x^2*log(x)^27) + exp(18*exp(x) - 54)*(22039 
61430*log(x)^16 - 8014405200*x*log(x)^14 - 3695120*x^7*log(x)^2 + 90530440 
*x^6*log(x)^4 - 832880048*x^5*log(x)^6 + 3718214500*x^4*log(x)^8 - 8923714 
800*x^3*log(x)^10 + 11763078600*x^2*log(x)^12 + 24310*x^8) - exp(20*exp(x) 
 - 60)*(3838478280*x*log(x)^12 - 1391975640*log(x)^14 - 2858856*x^6*log(x) 
^2 + 65753688*x^5*log(x)^4 - 547947400*x^4*log(x)^6 + 2113511400*x^3*log(x 
)^8 - 4086122040*x^2*log(x)^10 + 19448*x^7) + exp(21*exp(x) - 63)*(272272* 
x^6*log(x) - 2193416160*x*log(x)^11 + 927983760*log(x)^13 - 12524512*x^5*l 
og(x)^3 + 156556400*x^4*log(x)^5 - 805147200*x^3*log(x)^7 + 1945772400*x^2 
*log(x)^9) + exp(exp(x) - 3)*(34*x^16*log(x) - 544*x*log(x)^31 + 34*log(x) 
^33 - 544*x^15*log(x)^3 + 4080*x^14*log(x)^5 - 19040*x^13*log(x)^7 + 61880 
*x^12*log(x)^9 - 148512*x^11*log(x)^11 + 272272*x^10*log(x)^13 - 388960*x^ 
9*log(x)^15 + 437580*x^8*log(x)^17 - 388960*x^7*log(x)^19 + 272272*x^6*log 
(x)^21 - 148512*x^5*log(x)^23 + 61880*x^4*log(x)^25 - 19040*x^3*log(x)^27 
+ 4080*x^2*log(x)^29) + exp(13*exp(x) - 39)*(272272*x^10*log(x) - 59053512 
00*x*log(x)^19 + 927983760*log(x)^21 - 13613600*x^9*log(x)^3 + 208288080*x 
^8*log(x)^5 - 1507608960*x^7*log(x)^7 + 6156069920*x^6*log(x)^9 - 15446139 
072*x^5*log(x)^11 + 24753428000*x^4*log(x)^13 - 25460668800*x^3*log(x)^15 
+ 16287339600*x^2*log(x)^17) + exp(14*exp(x) - 42)*(1391975640*log(x)^20 - 
 8014405200*x*log(x)^18 - 2917200*x^9*log(x)^2 + 74388600*x^8*log(x)^4 - 7 
53804480*x^7*log(x)^6 + 3957473520*x^6*log(x)^8 - 12136252128*x^5*log(x)^1 
0 + 22985326000*x^4*log(x)^12 - 27279288000*x^3*log(x)^14 + 19777483800*x^ 
2*log(x)^16 + 19448*x^10)),x)
 

output

\text{Hanged}