3.98 Integrals 9701 to 9800

  3.98.1 \(\int \frac {1}{4} (109+e^{2 x} x^2 (105+70 x)) \, dx\)
  3.98.2 \(\int \frac {16-4 x+4 x \log (\frac {x}{2})}{(-4 x+x^2) \log (\frac {x}{2})} \, dx\)
  3.98.3 \(\int \frac {e^{-\frac {x^2}{1-2 x+x^2}} (20-60 x+20 x^2-30 x^3+e^{\frac {x^2}{1-2 x+x^2}} (-16+40 x-25 x^2-5 x^3+5 x^4+x^5) \log (5))}{(-16+40 x-25 x^2-5 x^3+5 x^4+x^5) \log (5)} \, dx\)
  3.98.4 \(\int \frac {(9+e-x^2-18 x^4+8 x^5-7 x^8) (i \pi +\log (3))}{81+e^2-108 x+54 x^2-12 x^3+109 x^4-108 x^5+36 x^6-4 x^7+54 x^8-36 x^9+6 x^{10}+12 x^{12}-4 x^{13}+x^{16}+e (18-12 x+2 x^2+12 x^4-4 x^5+2 x^8)} \, dx\)
  3.98.5 \(\int \frac {2^{-2 x} e^{e^{\frac {2-12 x-2 x^2}{3 x}}} (-3 x+e^{\frac {2-12 x-2 x^2}{3 x}} (2+2 x^2)+6 x^2 \log (2))}{3 x} \, dx\)
  3.98.6 \(\int \frac {x \log ^2(\frac {x}{2})+e^{\frac {(27-9 x) \log (2)+(6+15 \log (2)) \log (\frac {x}{2})}{\log (2) \log (\frac {x}{2})}} (-27+9 x-9 x \log (\frac {x}{2}))}{e^{\frac {(27-9 x) \log (2)+(6+15 \log (2)) \log (\frac {x}{2})}{\log (2) \log (\frac {x}{2})}} x \log ^2(\frac {x}{2})+x^2 \log ^2(\frac {x}{2})} \, dx\)
  3.98.7 \(\int \frac {2 x+(-3-x+24 x^2+8 x^3) \log (3+x)+(-6 x^2-2 x^3) \log (3+x) \log (\frac {4 x}{\log ^2(3+x)})}{(-12 x-4 x^2) \log (3+x)+(3 x+x^2) \log (3+x) \log (\frac {4 x}{\log ^2(3+x)})} \, dx\)
  3.98.8 \(\int \frac {e^5 (-e^{21}-3 x^2) \log (3)}{(e^{21} x+x^3)^2} \, dx\)
  3.98.9 \(\int \frac {-16+e^x (-8 x-4 x^2)}{40000 x^2-40000 e^3 x^2+10000 e^6 x^2+e^x (20000 x^3-20000 e^3 x^3+5000 e^6 x^3)+e^{2 x} (2500 x^4-2500 e^3 x^4+625 e^6 x^4)} \, dx\)
  3.98.10 \(\int \frac {-26244+13122 e^{10}-26244 x+7776 x^2+62208 x^3+174960 x^4+209952 x^5+91854 x^6+e^5 (-23328 x-104976 x^2-104976 x^3)+e^{4 x} (486 x^2+648 x^3)+e^{3 x} (-3888 x^2-11664 x^3-5832 x^4)+(-26244 e^5+23328 x+104976 x^2+104976 x^3) \log (3)+13122 \log ^2(3)+e^{2 x} (11664 x^2+54432 x^3+67068 x^4+17496 x^5+e^5 (-5832 x-5832 x^2)+(5832 x+5832 x^2) \log (3))+e^x (-15552 x^2-98496 x^3-198288 x^4-139968 x^5-17496 x^6+e^5 (23328 x+64152 x^2+17496 x^3)+(-23328 x-64152 x^2-17496 x^3) \log (3))}{26244 x^2+6561 e^{20} x^2+26244 x^3+1377 x^4-33696 x^5-85280 x^6+e^{8 x} x^6-101904 x^7-45108 x^8+35262 x^9+90720 x^{10}+108864 x^{11}+81648 x^{12}+34992 x^{13}+6561 x^{14}+e^{15} (-11664 x^3-34992 x^4-26244 x^5)+e^{7 x} (-16 x^6-24 x^7)+e^{10} (-26244 x^2-13122 x^3+7776 x^4+46656 x^5+104976 x^6+104976 x^7+39366 x^8)+e^5 (23328 x^3+81648 x^4+85176 x^5+5508 x^6-77760 x^7-155520 x^8-174960 x^9-104976 x^{10}-26244 x^{11})+(-26244 e^{15} x^2-23328 x^3-81648 x^4-85176 x^5-5508 x^6+77760 x^7+155520 x^8+174960 x^9+104976 x^{10}+26244 x^{11}+e^{10} (34992 x^3+104976 x^4+78732 x^5)+e^5 (52488 x^2+26244 x^3-15552 x^4-93312 x^5-209952 x^6-209952 x^7-78732 x^8)) \log (3)+(-26244 x^2+39366 e^{10} x^2-13122 x^3+7776 x^4+46656 x^5+104976 x^6+104976 x^7+39366 x^8+e^5 (-34992 x^3-104976 x^4-78732 x^5)) \log ^2(3)+(-26244 e^5 x^2+11664 x^3+34992 x^4+26244 x^5) \log ^3(3)+6561 x^2 \log ^4(3)+e^{6 x} (-36 e^5 x^5+112 x^6+336 x^7+252 x^8+36 x^5 \log (3))+e^{5 x} (-448 x^6-2016 x^7-3024 x^8-1512 x^9+e^5 (432 x^5+648 x^6)+(-432 x^5-648 x^6) \log (3))+e^{4 x} (-324 x^4+486 e^{10} x^4-162 x^5+1120 x^6+6720 x^7+15120 x^8+15120 x^9+5670 x^{10}+e^5 (-2160 x^5-6480 x^6-4860 x^7)+(-972 e^5 x^4+2160 x^5+6480 x^6+4860 x^7) \log (3)+486 x^4 \log ^2(3))+e^{3 x} (2592 x^4+5184 x^5+152 x^6-13440 x^7-40320 x^8-60480 x^9-45360 x^{10}-13608 x^{11}+e^{10} (-3888 x^4-5832 x^5)+e^5 (5760 x^5+25920 x^6+38880 x^7+19440 x^8)+(-5760 x^5-25920 x^6-38880 x^7-19440 x^8+e^5 (7776 x^4+11664 x^5)) \log (3)+(-3888 x^4-5832 x^5) \log ^2(3))+e^{2 x} (-2916 e^{15} x^3-7776 x^4-27216 x^5-27368 x^6+7380 x^7+60480 x^8+120960 x^9+136080 x^{10}+81648 x^{11}+20412 x^{12}+e^{10} (11664 x^4+34992 x^5+26244 x^6)+e^5 (5832 x^3+2916 x^4-8640 x^5-51840 x^6-116640 x^7-116640 x^8-43740 x^9)+(-5832 x^3+8748 e^{10} x^3-2916 x^4+8640 x^5+51840 x^6+116640 x^7+116640 x^8+43740 x^9+e^5 (-23328 x^4-69984 x^5-52488 x^6)) \log (3)+(-8748 e^5 x^3+11664 x^4+34992 x^5+26244 x^6) \log ^2(3)+2916 x^3 \log ^3(3))+e^x (10368 x^4+51840 x^5+92288 x^6+59232 x^7-30888 x^8-120960 x^9-181440 x^{10}-163296 x^{11}-81648 x^{12}-17496 x^{13}+e^{15} (11664 x^3+17496 x^4)+e^{10} (-15552 x^4-69984 x^5-104976 x^6-52488 x^7)+e^5 (-23328 x^3-46656 x^4-10584 x^5+51840 x^6+155520 x^7+233280 x^8+174960 x^9+52488 x^{10})+(23328 x^3+46656 x^4+10584 x^5-51840 x^6-155520 x^7-233280 x^8-174960 x^9-52488 x^{10}+e^{10} (-34992 x^3-52488 x^4)+e^5 (31104 x^4+139968 x^5+209952 x^6+104976 x^7)) \log (3)+(-15552 x^4-69984 x^5-104976 x^6-52488 x^7+e^5 (34992 x^3+52488 x^4)) \log ^2(3)+(-11664 x^3-17496 x^4) \log ^3(3))} \, dx\)
  3.98.11 \(\int \frac {36-168 x-245 x^2-82 x^3-54 x^4+4 x^5}{36 x-87 x^2-77 x^3-17 x^4-10 x^5+x^6} \, dx\)
  3.98.12 \(\int \frac {-60+16 x-601 x^2+140 x^3-10 x^4-4 x \log (x)}{5000 x^5-1000 x^6+50 x^7+(2000 x^3-400 x^4+20 x^5) \log (x)+(200 x-40 x^2+2 x^3) \log ^2(x)} \, dx\)
  3.98.13 \(\int \frac {42+144 x+108 x^2+3 2^{2+\frac {4 x}{3}} (\frac {1}{x^2})^{2 x/3} x^4+2^{2 x/3} (\frac {1}{x^2})^{x/3} (51 x^2+70 x^3+x^3 \log (\frac {4}{x^2}))}{48+144 x+108 x^2+3 2^{2+\frac {4 x}{3}} (\frac {1}{x^2})^{2 x/3} x^4+2^{2 x/3} (\frac {1}{x^2})^{x/3} (48 x^2+72 x^3)} \, dx\)
  3.98.14 \(\int 225 \log ^2(4) \, dx\)
  3.98.15 \(\int \frac {-400 \log (3)-4 \log (2) \log ^2(3)}{16 x^2 \log (2)-8 x \log (2) \log (3)+\log (2) \log ^2(3)} \, dx\)
  3.98.16 \(\int \frac {1}{20} (1-40 e^{-2 x}+40 e^{2 x}+e^x (-40-40 x)+e^{-x} (40-40 x)+40 x) \, dx\)
  3.98.17 \(\int \frac {1+e^{x+e^x \log ^2(2)} \log ^2(2) (2+i \pi +\log (14))}{2+i \pi +\log (14)} \, dx\)
  3.98.18 \(\int \frac {e^{\frac {5}{\log (-4+e^{e^{2 x}+x}+\log (5+x))}} (-5+e^{e^{2 x}+x} (-25+e^{2 x} (-50-10 x)-5 x))}{(-20-4 x+e^{e^{2 x}+x} (5+x)+(5+x) \log (5+x)) \log ^2(-4+e^{e^{2 x}+x}+\log (5+x))} \, dx\)
  3.98.19 \(\int \frac {20+x+2 \log (\frac {1}{5} (-80-4 x) \log (5))}{180+9 x} \, dx\)
  3.98.20 \(\int -\frac {16 (i \pi +\log (\log (16)))}{-3+9 x-9 x^2+3 x^3} \, dx\)
  3.98.21 \(\int (18 x^2+44 x^3+30 x^4+30 x^5+112 x^6+128 x^7+36 x^8+60 x^9+154 x^{10}+72 x^{11}+56 x^{13}+60 x^{14}+18 x^{17}+2 \log (\log (4))) \, dx\)
  3.98.22 \(\int (2 x+2 (i \pi +\log (4))^2 \log (4 e^x)) \, dx\)
  3.98.23 \(\int \frac {-x+x^2+\sqrt [4]{e} (-6160+12320 x) (x-x^2)^{\sqrt [4]{e}}+\sqrt [4]{e} (-4740+9480 x) (x-x^2)^{2 \sqrt [4]{e}}+\sqrt [4]{e} (-1200+2400 x) (x-x^2)^{3 \sqrt [4]{e}}+\sqrt [4]{e} (-100+200 x) (x-x^2)^{4 \sqrt [4]{e}}}{-x+x^2} \, dx\)
  3.98.24 \(\int \frac {1+(x^2+x^3+2 x^4) \log (x)-2 \log (x) \log (\log (x))}{(-6 x^3+x^4+x^5) \log (x)+x^3 \log ^2(x)+x \log (x) \log (\log (x))} \, dx\)
  3.98.25 \(\int \frac {-x+(-5+2 x) \log (-5+2 x)}{(-20 x+8 x^2) \log (5) \log (-5+2 x)+(-10 x+4 x^2) \log (-5+2 x) \log (-\frac {8 x^2}{5 \log (-5+2 x)})} \, dx\)
  3.98.26 \(\int \frac {e^{4 e^x+e^{\frac {e^{4 e^x+x}}{16-8 \log (x^2)+\log ^2(x^2)}}+\frac {e^{4 e^x+x}}{16-8 \log (x^2)+\log ^2(x^2)}} (16 e^{2 x} x+e^x (4+4 x)+(-e^x x-4 e^{2 x} x) \log (x^2))}{-64 x+48 x \log (x^2)-12 x \log ^2(x^2)+x \log ^3(x^2)} \, dx\)
  3.98.27 \(\int \frac {e^{e^x x} (e^5+x^2+e^x (x^3+x^4)+e^{2 x} (-e^5 x-2 x^3+e^x (-2 x^4-2 x^5))+e^{4 x} (x^4+e^x (x^5+x^6))+(-e^5+e^{5+x} (x+x^2)+e^{2 x} (e^5 (2 x+2 x^2)+e^{5+x} (-x^2-x^3))) \log (x))}{x^2-2 e^{2 x} x^3+e^{4 x} x^4} \, dx\)
  3.98.28 \(\int \frac {e^{\frac {-(\frac {e^{-x}}{x})^{e^{-e^{15/x}}}+x^3}{x}} (2 x^4 \log (\frac {e^{-x}}{x})+(\frac {e^{-x}}{x})^{e^{-e^{15/x}}} (x \log (\frac {e^{-x}}{x})+e^{-e^{15/x}} \log (\frac {e^{-x}}{x}) (x+x^2-15 e^{15/x} \log (\frac {e^{-x}}{x}))))}{x^3 \log (\frac {e^{-x}}{x})} \, dx\)
  3.98.29 \(\int \frac {(2 x^2+8 x^3) \log ^3(2) \log (\frac {2}{-2+x+2 x^2})+(4 x-2 x^2-4 x^3) \log ^3(2) \log ^2(\frac {2}{-2+x+2 x^2})}{(2-x-2 x^2) \log ^3(2)+(-6 x+3 x^2+6 x^3) \log ^2(2) \log (\frac {2}{-2+x+2 x^2})+(6 x^2-3 x^3-6 x^4) \log (2) \log ^2(\frac {2}{-2+x+2 x^2})+(-2 x^3+x^4+2 x^5) \log ^3(\frac {2}{-2+x+2 x^2})} \, dx\)
  3.98.30 \(\int \frac {e^{\frac {65536 x+16384 x^2-261121 x^3-65536 x^4-8196 x^5-512 x^6-16 x^7}{65536+16384 x+2048 x^2+128 x^3+4 x^4}} (8388608+3145728 x-100467072 x^2-37765136 x^3-7081471 x^4-786624 x^5-55300 x^6-2304 x^7-48 x^8)}{8388608+3145728 x+589824 x^2+65536 x^3+4608 x^4+192 x^5+4 x^6} \, dx\)
  3.98.31 \(\int \frac {4 x^3-4 x^4+x^5+(8 x^2-8 x^3+2 x^4) \log (x)+e^{\frac {2 (-9+\log (x))}{-2 x+x^2}} (4 x-4 x^2+x^3+(8-8 x+2 x^2) \log (x))+e^{\frac {-9+\log (x)}{-2 x+x^2}} (20-15 x-12 x^2+9 x^3-2 x^4+(-2-14 x+16 x^2-4 x^3) \log (x))}{4 x^3-4 x^4+x^5+e^{\frac {2 (-9+\log (x))}{-2 x+x^2}} (4 x-4 x^2+x^3)+e^{\frac {-9+\log (x)}{-2 x+x^2}} (-8 x^2+8 x^3-2 x^4)} \, dx\)
  3.98.32 \(\int \frac {-16 x^2+(-2 e^4 x^2+6 x^4) \log (x)+(16+4 x^2 \log (x)) \log (\log ^2(x))-10 \log (x) \log ^2(\log ^2(x))}{(e^4 x^3+x^5) \log (x)-2 x^3 \log (x) \log (\log ^2(x))+x \log (x) \log ^2(\log ^2(x))} \, dx\)
  3.98.33 \(\int e^{4 e^{-2 x^3}} (e^{12}-24 e^{12-2 x^3} x^3) \, dx\)
  3.98.34 \(\int \frac {1}{9} (9-32 e^{\frac {16 x^2}{9}} x) \, dx\)
  3.98.35 \(\int \frac {-787377632+e^{14} (-152-16 x)-129835568 x+204211936 x^2+16951616 x^3-13325440 x^4-1536256 x^5+252416 x^6+48128 x^7+2048 x^8+e^{12} (4256+2576 x+224 x^2)+e^{10} (5928-50448 x-18144 x^2-1344 x^3)+e^8 (-799520-143440 x+249120 x^2+69440 x^3+4480 x^4)+e^6 (633080+6462800 x+910400 x^2-656000 x^3-156800 x^4-8960 x^5)+e^4 (52288608+1705584 x-19588320 x^2-2494080 x^3+971520 x^4+209664 x^5+10752 x^6)+e^2 (23476856-206683184 x-14419296 x^2+26384320 x^3+3167360 x^4-767232 x^5-154112 x^6-7168 x^7)+(-586921400+5167079600 x+360482400 x^2-659608000 x^3-79184000 x^4+19180800 x^5+3852800 x^6+179200 x^7+e^{12} (26600+2800 x)+e^{10} (-638400-386400 x-33600 x^2)+e^8 (-741000+6306000 x+2268000 x^2+168000 x^3)+e^6 (79952000+14344000 x-24912000 x^2-6944000 x^3-448000 x^4)+e^4 (-47481000-484710000 x-68280000 x^2+49200000 x^3+11760000 x^4+672000 x^5)+e^2 (-2614430400-85279200 x+979416000 x^2+124704000 x^3-48576000 x^4-10483200 x^5-537600 x^6)) \log (3-x)+(32680380000+e^{10} (-1995000-210000 x)+1065990000 x-12242700000 x^2-1558800000 x^3+607200000 x^4+131040000 x^5+6720000 x^6+e^8 (39900000+24150000 x+2100000 x^2)+e^6 (37050000-315300000 x-113400000 x^2-8400000 x^3)+e^4 (-2998200000-537900000 x+934200000 x^2+260400000 x^3+16800000 x^4)+e^2 (1187025000+12117750000 x+1707000000 x^2-1230000000 x^3-294000000 x^4-16800000 x^5)) \log ^2(3-x)+(-9891875000-100981250000 x-14225000000 x^2+10250000000 x^3+2450000000 x^4+140000000 x^5+e^8 (83125000+8750000 x)+e^6 (-1330000000-805000000 x-70000000 x^2)+e^4 (-926250000+7882500000 x+2835000000 x^2+210000000 x^3)+e^2 (49970000000+8965000000 x-15570000000 x^2-4340000000 x^3-280000000 x^4)) \log ^3(3-x)+(-312312500000+e^6 (-2078125000-218750000 x)-56031250000 x+97312500000 x^2+27125000000 x^3+1750000000 x^4+e^4 (24937500000+15093750000 x+1312500000 x^2)+e^2 (11578125000-98531250000 x-35437500000 x^2-2625000000 x^3)) \log ^4(3-x)+(-57890625000+492656250000 x+177187500000 x^2+13125000000 x^3+e^4 (31171875000+3281250000 x)+e^2 (-249375000000-150937500000 x-13125000000 x^2)) \log ^5(3-x)+(1039062500000+e^2 (-259765625000-27343750000 x)+628906250000 x+54687500000 x^2) \log ^6(3-x)+(927734375000+97656250000 x) \log ^7(3-x)}{-1171875+390625 x} \, dx\)
  3.98.36 \(\int \frac {8}{-3+12 x+(-1+4 x) \log (4)+(-1+4 x) \log (\frac {1}{16} (1-8 x+16 x^2))} \, dx\)
  3.98.37 \(\int \frac {1853 x-7252 x^2+10252 x^3-5952 x^4+1508 x^5+784 x^6-1856 x^7+768 x^8+(2890-7752 x+10312 x^2-10688 x^3+8296 x^4-4448 x^5+1920 x^6-512 x^7) \log (x)+(408 x-3784 x^2+8880 x^3-9488 x^4+6848 x^5-3840 x^6+1024 x^7) \log ^2(x)}{-500 x+200 x^2+940 x^3-464 x^4-448 x^5+256 x^6+(-1000 x+1400 x^2+480 x^3-1408 x^4+512 x^5) \log ^2(x)+(-500 x+1200 x^2-960 x^3+256 x^4) \log ^4(x)} \, dx\)
  3.98.38 \(\int \frac {-5-22 x-4 x^2+2 e^{-2-x} (16+3 x)}{-5 x-x^2+2 e^{-2-x} (5+x)} \, dx\)
  3.98.39 \(\int \frac {-e^2 \log (x \log (5))-x \log (x \log (5))}{x \log (x \log (5))} \, dx\)
  3.98.40 \(\int \frac {32 x^2+24 x^3-8 x^4+(-8 x+7 x^2+3 x^3-2 x^4) \log (1-2 x+x^2) \log (\log ^4(1-2 x+x^2))}{(-5-5 x+5 x^2+5 x^3) \log (1-2 x+x^2)} \, dx\)
  3.98.41 \(\int \frac {2+e^x (3-x)+(-120-120 x+30 x^2) \log (5)}{4+e^{2 x}+(-240 x-120 x^2) \log (5)+(3600 x^2+3600 x^3+900 x^4) \log ^2(5)+e^x (4+(-120 x-60 x^2) \log (5))} \, dx\)
  3.98.42 \(\int \frac {32+32 x+8 x^2+e^4 (-8-5 x) \log (4)+(8+8 x+2 x^2+e^4 (-2-x) \log (4)) \log (\frac {-20-10 x+5 e^4 \log (4)}{4+2 x})}{-8 x^2-8 x^3-2 x^4+e^4 (2 x^2+x^3) \log (4)} \, dx\)
  3.98.43 \(\int \frac {6 e^{2 e^4}+6 x-3 e^{2 e^4} \log (x^2)}{x^2 \log (8)} \, dx\)
  3.98.44 \(\int \frac {(6-30 x+5 x^2) \log (x)+(150 x^2-25 x^3+(30 x-5 x^2) \log (\frac {6-x}{x})) \log ^2(x)+(30 x-5 x^2+(6-x) \log (\frac {6-x}{x})) \log (5 x+\log (\frac {6-x}{x}))}{(150 x^3-25 x^4+(30 x^2-5 x^3) \log (\frac {6-x}{x})) \log ^2(x)+(-30 x^2+5 x^3+(-6 x+x^2) \log (\frac {6-x}{x})) \log (x) \log (5 x+\log (\frac {6-x}{x}))} \, dx\)
  3.98.45 \(\int \frac {-90 x^2+36 x^3-50 x^5+20 x^6-2 x^7+e^{-5+x} (90 x+72 x^2-36 x^3+50 x^5-20 x^6+2 x^7)+(90-100 x^3+40 x^4-4 x^5+e^{-5+x} (-90+100 x^3-40 x^4+4 x^5)) \log (-1+e^{-5+x})+(-50 x+20 x^2-2 x^3+e^{-5+x} (50 x-20 x^2+2 x^3)) \log ^2(-1+e^{-5+x})}{-25 x^4+10 x^5-x^6+e^{-5+x} (25 x^4-10 x^5+x^6)+(-50 x^2+20 x^3-2 x^4+e^{-5+x} (50 x^2-20 x^3+2 x^4)) \log (-1+e^{-5+x})+(-25+10 x-x^2+e^{-5+x} (25-10 x+x^2)) \log ^2(-1+e^{-5+x})} \, dx\)
  3.98.46 \(\int \frac {-192 x^2-208 x^3-56 x^4+(-384 x-576 x^2-304 x^3-56 x^4) \log (\frac {3}{2+x})}{(1728+3024 x+1764 x^2+343 x^3) \log ^3(\frac {3}{2+x})} \, dx\)
  3.98.47 \(\int \frac {90 x+45 x^2-60 x^4+e^x (-15+20 x^2)+(20 x+5 e^x x^2-15 x^4) \log (x)}{-12+16 x^2+4 x^2 \log (x)} \, dx\)
  3.98.48 \(\int \frac {234 x+156 e^4 x+26 e^8 x+(1725+234 x+156 e^4 x+26 e^8 x) \log (\frac {-1725-234 x-156 e^4 x-26 e^8 x}{621+414 e^4+69 e^8})}{1725+234 x+156 e^4 x+26 e^8 x} \, dx\)
  3.98.49 \(\int \frac {-50 x-20 e^4 x-2 e^8 x+(-20 x-4 e^4 x) \log (x)-2 x \log ^2(x)+e^{\frac {x^3+x^2 \log (4)}{5+e^4+\log (x)}} (25+e^8+14 x^3+e^4 (10+3 x^3)+(9 x^2+2 e^4 x^2) \log (4)+(10+2 e^4+3 x^3+2 x^2 \log (4)) \log (x)+\log ^2(x))}{25+10 e^4+e^8+(10+2 e^4) \log (x)+\log ^2(x)} \, dx\)
  3.98.50 \(\int \frac {e^{-\frac {111+160 x+40 x^2}{110+160 x+40 x^2}} (8+4 x) \log (2)}{605+1760 x+1720 x^2+640 x^3+80 x^4} \, dx\)
  3.98.51 \(\int \frac {e^{x^2} (16 x^2-8 x^3+x^4)+(-225+195 x-85 x^2+15 x^3) \log (-\frac {4}{-3+x})+e^{x^2} (360-306 x+110 x^2+74 x^3-78 x^4+22 x^5-2 x^6) \log (-\frac {4}{-3+x}) \log (5 \log (-\frac {4}{-3+x}))+e^{2 x^2} (-144+120 x-33 x^2+3 x^3) \log (-\frac {4}{-3+x}) \log ^2(5 \log (-\frac {4}{-3+x}))}{(-225+75 x) \log (-\frac {4}{-3+x})+e^{x^2} (360-210 x+30 x^2) \log (-\frac {4}{-3+x}) \log (5 \log (-\frac {4}{-3+x}))+e^{2 x^2} (-144+120 x-33 x^2+3 x^3) \log (-\frac {4}{-3+x}) \log ^2(5 \log (-\frac {4}{-3+x}))} \, dx\)
  3.98.52 \(\int \frac {(-2+2 e^{100} x^2) \log (\frac {1+e^{100} (27 x+x^2)}{e^{100} x})+(1+e^{100} (27 x+x^2)) \log ^2(\frac {1+e^{100} (27 x+x^2)}{e^{100} x})}{1+e^{100} (27 x+x^2)} \, dx\)
  3.98.53 \(\int \frac {x+(16+x) \log (-16-x)}{(16+x) \log ^2(\frac {1}{25} e^{\frac {8}{\log (3)}})} \, dx\)
  3.98.54 \(\int \frac {-e^{-6+x} x^2+2 e^x x^2+5 \log (2)}{x^2} \, dx\)
  3.98.55 \(\int \frac {40 x+e^{e^{5/x}+x} (-20 e^{5/x}+8 x+4 x^2)+e^{25 x^2-50 x^3+25 x^4} (-4-200 x^2+600 x^3-400 x^4)}{e^{50 x^2-100 x^3+50 x^4} x^2-10 e^{25 x^2-50 x^3+25 x^4} x^3+25 x^4+e^{2 e^{5/x}+2 x} x^4+e^{e^{5/x}+x} (-2 e^{25 x^2-50 x^3+25 x^4} x^3+10 x^4)} \, dx\)
  3.98.56 \(\int \frac {12+x^2}{x^2} \, dx\)
  3.98.57 \(\int \frac {-48+e^3 (-175 x^6+240 x^7+99 x^8-120 x^9-44 x^{10})}{80 e^3} \, dx\)
  3.98.58 \(\int \frac {-24-5 x+(-8-2 x) \log (4+x)}{4 x^3+x^4} \, dx\)
  3.98.59 \(\int \frac {1+(2 x+12 x^2+16 x^3+5 x^4) \log (x)+\log (x) \log (\log (x))}{\log (x)} \, dx\)
  3.98.60 \(\int \frac {-1020+6124 x-11879 x^2+8384 x^3-2724 x^4+420 x^5-25 x^6+e^{-\frac {12 x}{-2+5 x}} (-64+320 x-400 x^2)+e^{-\frac {9 x}{-2+5 x}} (512-2688 x+3840 x^2-800 x^3)+e^{-\frac {6 x}{-2+5 x}} (-1536+8448 x-13536 x^2+5280 x^3-600 x^4)+e^{-\frac {3 x}{-2+5 x}} (2048-11776 x+20864 x^2-11552 x^3+2560 x^4-200 x^5)+(-1024 x+384 e^{-\frac {12 x}{-2+5 x}} x+5888 x^2-10432 x^3+5776 x^4-1280 x^5+100 x^6+e^{-\frac {9 x}{-2+5 x}} (-2176 x-64 x^2+800 x^3)+e^{-\frac {6 x}{-2+5 x}} (3840 x+1728 x^2-5472 x^3+1200 x^4)+e^{-\frac {3 x}{-2+5 x}} (-1536 x-6144 x^2+12960 x^3-5232 x^4+600 x^5)) \log (x)}{(4 x-20 x^2+25 x^3) \log ^2(x)} \, dx\)
  3.98.61 \(\int \frac {72 x^2 \log (x)+e^2 (400 x+80 x^2) \log ^2(x)+(-360 x-72 x^2+(720 x+144 x^2) \log (x)) \log (5+x)}{(25+5 x) \log ^2(x)} \, dx\)
  3.98.62 \(\int \frac {-2000-600 x-80 x^2+12 x^3+e^2 (-4500-1420 x-84 x^2+8 x^3)+(2000+700 x+40 x^2-4 x^3) \log (\frac {1}{4} (-20+x))}{-500-2375 x-3160 x^2-796 x^3-32 x^4+4 x^5+(1000+2550 x+750 x^2+36 x^3-4 x^4) \log (\frac {1}{4} (-20+x))+(-500-175 x-10 x^2+x^3) \log ^2(\frac {1}{4} (-20+x))} \, dx\)
  3.98.63 \(\int \frac {1}{5} (15+e^5 (-4 x-9 x^2+4 x^3)) \, dx\)
  3.98.64 \(\int \frac {1+x+e^{1+e^2-x} x}{x} \, dx\)
  3.98.65 \(\int \frac {-400+2000 x-600 x^2-400 x^3+e^{2 x} (80 x-40 x^2-80 x^3)+(400+400 x^2+160 e^{2 x} x^2) \log (x)}{25 x^2-250 x^3+575 x^4+e^{4 x} x^4+250 x^5+25 x^6+e^{2 x} (-10 x^3+50 x^4+10 x^5)+(-100 x+1000 x^2-2300 x^3-4 e^{4 x} x^3-1000 x^4-100 x^5+e^{2 x} (40 x^2-200 x^3-40 x^4)) \log (x)+(100-1000 x+2300 x^2+4 e^{4 x} x^2+1000 x^3+100 x^4+e^{2 x} (-40 x+200 x^2+40 x^3)) \log ^2(x)} \, dx\)
  3.98.66 \(\int \frac {-5+2 x+5 \log (4)}{5 \log (4)} \, dx\)
  3.98.67 \(\int \frac {2040 x+1008 x^2+144 x^3+16 x^4+(7225+2040 x+504 x^2+48 x^3+4 x^4) \log (\frac {1}{4} (7225+2040 x+504 x^2+48 x^3+4 x^4))}{7225+2040 x+504 x^2+48 x^3+4 x^4} \, dx\)
  3.98.68 \(\int \frac {-4 x-e^{-32 x-16 x^2+4 x^3} x+e^{-16 x-8 x^2+2 x^3} (-4 x-48 x^2-32 x^3+34 x^4-6 x^5)+(-12+e^{-32 x-16 x^2+4 x^3} (-3+x)+4 x+e^{-16 x-8 x^2+2 x^3} (-12+4 x)) \log (3-x)}{-3 x^2+x^3+(12 x-4 x^2+e^{-16 x-8 x^2+2 x^3} (6 x-2 x^2)) \log (3-x)+(-12+e^{-32 x-16 x^2+4 x^3} (-3+x)+4 x+e^{-16 x-8 x^2+2 x^3} (-12+4 x)) \log ^2(3-x)} \, dx\)
  3.98.69 \(\int \frac {4+x-x \log (x)-x \log ^2(x)}{(4 x+x^2) \log (x)+x^2 \log ^2(x)} \, dx\)
  3.98.70 \(\int \frac {75+e^x (-28224-39984 x)+460992 e^{2 x} x^2}{576-240 x+25 x^2+153664 e^{2 x} x^4+e^x (18816 x^2-3920 x^3)} \, dx\)
  3.98.71 \(\int \frac {-2560000 x^2-96000 x^3-20100 x^4-360 x^5-36 x^6+e^x (-240000+231000 x+1800 x^2+900 x^3)}{640000 x^2+24000 x^3+5025 x^4+90 x^5+9 x^6} \, dx\)
  3.98.72 \(\int (1650+838 x+108 x^2+4 x^3+e^4 (6+2 x)+e^3 (30+2 e^2+2 x)+e^2 (198+84 x+6 x^2)) \, dx\)
  3.98.73 \(\int \frac {-256+32 x+255 x^2-32 x^3+x^4+e^{-10+x} (32 x^2-17 x^4+x^5)+(256-32 x+x^2) \log (x)}{256 x^2-32 x^3+x^4} \, dx\)
  3.98.74 \(\int \frac {e^8 (-32-24 x)+2 x^4+8 x^6+10 x^7+6 x^8+14 x^9+8 x^{10}+e^4 (-6 x^3-16 x^4-42 x^5-24 x^6)+e^{2 x} (2 x^4+8 x^5+8 x^6+2 x^7)+e^x (-4 x^4-8 x^5-10 x^6-22 x^7-16 x^8-2 x^9+e^4 (22 x^3+26 x^4+6 x^5))}{x^3} \, dx\)
  3.98.75 \(\int \frac {(e^{10}-e^5 x) \log ^2(e^{10}-2 e^5 x+x^2)+e^{\frac {4 x^3}{e^5 \log (e^{10}-2 e^5 x+x^2)}} (8 x^3+(12 e^5 x^2-12 x^3) \log (e^{10}-2 e^5 x+x^2))}{(e^{10}-e^5 x) \log ^2(e^{10}-2 e^5 x+x^2)} \, dx\)
  3.98.76 \(\int \frac {e^{\frac {e^x}{x^2+x^2 \log (\frac {1}{x})}} (e^x (90-90 x)+e^x (180-90 x) \log (\frac {1}{x}))+e^{\frac {2 e^x}{x^2+x^2 \log (\frac {1}{x})}} (e^x (-50+50 x)+e^x (-100+50 x) \log (\frac {1}{x}))}{9 x^3+18 x^3 \log (\frac {1}{x})+9 x^3 \log ^2(\frac {1}{x})} \, dx\)
  3.98.77 \(\int \frac {e^{\frac {x^2+\log (\frac {1}{4} (-6+4 e^{4+x}+x-4 x^2))}{x}} (x-14 x^2+x^3-4 x^4+e^{4+x} (4 x+4 x^2)+(6-4 e^{4+x}-x+4 x^2) \log (\frac {1}{4} (-6+4 e^{4+x}+x-4 x^2)))}{-6 x^2+4 e^{4+x} x^2+x^3-4 x^4} \, dx\)
  3.98.78 \(\int -\frac {4 e^{2 e^{4 e^2}}}{x^3} \, dx\)
  3.98.79 \(\int \frac {2 x^3+e^{\frac {1}{2} (-e^{\frac {1}{x^2}+e^x x}+e^{\frac {1}{x^2}} (3+x))} (e^{\frac {1}{x^2}} (-6-2 x+x^3)+e^{e^x x} (2 e^{\frac {1}{x^2}}+e^{\frac {1}{x^2}+x} (-x^3-x^4)))}{2 x^3} \, dx\)
  3.98.80 \(\int \frac {-e^{40+e^4-x^2 \log ^2(3 x)}+e^{40+e^4-x^2 \log ^2(3 x)} (-2 x^2 \log (x) \log (3 x)-2 x^2 \log (x) \log ^2(3 x)) \log (\log (x))}{x \log (x) \log ^2(\log (x))} \, dx\)
  3.98.81 \(\int \frac {-4+e^{3+x} (-4+2 x)}{x+e^{3+x} x} \, dx\)
  3.98.82 \(\int \frac {-1090000-336000 x+313600 x^2+(2360000+336000 x-627200 x^2) \log (x)+(-1605000-84000 x+470400 x^2) \log ^2(x)+(425000-156800 x^2) \log ^3(x)+(-38125+19600 x^2) \log ^4(x)}{372490000-601388000 x+363786000 x^2-97717760 x^3+9834496 x^4+(-420740000+811336000 x-570189600 x^2+174361600 x^3-19668992 x^4) \log (x)+(177675000-399414000 x+326539800 x^2-114965760 x^3+14751744 x^4) \log ^2(x)+(-33245000+85558000 x-80790600 x^2+33053440 x^3-4917248 x^4) \log ^3(x)+(2325625-6755750 x+7297425 x^2-3473120 x^3+614656 x^4) \log ^4(x)} \, dx\)
  3.98.83 \(\int \frac {e^{\frac {81+108 e^{2-e^{2 x}} (-1+x)+54 e^{4-2 e^{2 x}} (-1+x)^2+12 e^{6-3 e^{2 x}} (-1+x)^3+e^{8-4 e^{2 x}} (-1+x)^4}{390625+62500 x^2+3750 x^4+100 x^6+x^8}} (648 x-648 x^2+e^{2-e^{2 x}} (-1+x) (2700+864 x-756 x^2+e^{2 x} (5400-5400 x+216 x^2-216 x^3))+e^{4-2 e^{2 x}} (-1+x)^2 (2700+432 x-324 x^2+e^{2 x} (5400-5400 x+216 x^2-216 x^3))+e^{6-3 e^{2 x}} (-1+x)^3 (900+96 x-60 x^2+e^{2 x} (1800-1800 x+72 x^2-72 x^3))+e^{8-4 e^{2 x}} (-1+x)^4 (100+8 x-4 x^2+e^{2 x} (200-200 x+8 x^2-8 x^3)))}{-9765625+9765625 x-1953125 x^2+1953125 x^3-156250 x^4+156250 x^5-6250 x^6+6250 x^7-125 x^8+125 x^9-x^{10}+x^{11}} \, dx\)
  3.98.84 \(\int \frac {e^{5 x} (-45 x+15 x^2+e^x (15 x^2-5 x^3))+(36-24 x+e^x (-12 x+8 x^2)) \log (e^{-x} (-3+e^x x))+(-36 x+12 x^2+e^x (-12 x+4 x^2)) \log (\frac {1}{3} (-3 x+x^2))}{9 x-3 x^2+e^x (-3 x^2+x^3)} \, dx\)
  3.98.85 \(\int \frac {e^{-2+x} (e^{\frac {e^{-2+x} x}{(4+x) (i \pi +\log (9-e))^2}} (-4-4 x-x^2)+e^{2-x} (32+16 x+2 x^2) (i \pi +\log (9-e))^2)}{(16+8 x+x^2) (i \pi +\log (9-e))^2} \, dx\)
  3.98.86 \(\int \frac {-24-48 x-33 x^2-29 x^3-25 x^4-2 x^5+(8 x^2+8 x^3-x^4-x^5) \log (x+x^2)}{4 x^4+4 x^5} \, dx\)
  3.98.87 \(\int \frac {5 e^3-7 x^3-3 x^3 \log (x)}{5 x} \, dx\)
  3.98.88 \(\int \frac {e^{-x-\frac {e^{-x} x}{5}} (-10 e^x+2 x-3 x^2+x^3)}{20-20 x+5 x^2} \, dx\)
  3.98.89 \(\int \frac {1}{30} (-81+30 e^{e^x+x}-50 x) \, dx\)
  3.98.90 \(\int \frac {36223740 e^{5 x}-209790 e^{6 x}+486 e^{7 x}+e^{2 x} (-2330928984272-402486 x)+e^{3 x} (134995830852-4662 x)-522 x+e^{4 x} (-3127316274+54 x)+e^x (35016282+34747964 x-12 x^2)+(36223740 e^{4 x}-279720 e^{5 x}+810 e^{6 x}+e^x (-404558-402486 x)+2 x+e^{3 x} (-2084877534+18 x)+e^{2 x} (44998614958+3108 x)) \log (x)+(12074580 e^{3 x}-139860 e^{4 x}+540 e^{5 x}+e^{2 x} (-347479598-6 x)+e^x (1558+1554 x)) \log ^2(x)+(1341620 e^{2 x}-31080 e^{3 x}+180 e^{4 x}+e^x (-2-2 x)) \log ^3(x)+(-2590 e^{2 x}+30 e^{3 x}) \log ^4(x)+2 e^{2 x} \log ^5(x)}{-1165463885299+67497908415 e^x-1563658110 e^{2 x}+18111870 e^{3 x}-104895 e^{4 x}+243 e^{5 x}+(22499302805-1042438740 e^x+18111870 e^{2 x}-139860 e^{3 x}+405 e^{4 x}) \log (x)+(-173739790+6037290 e^x-69930 e^{2 x}+270 e^{3 x}) \log ^2(x)+(670810-15540 e^x+90 e^{2 x}) \log ^3(x)+(-1295+15 e^x) \log ^4(x)+\log ^5(x)} \, dx\)
  3.98.91 \(\int \frac {25+8 x+160 e^4 x^3+(5+2 x+32 e^4 x^3) \log (2)}{160 e^4 x^3+32 e^4 x^3 \log (2)} \, dx\)
  3.98.92 \(\int \frac {\frac {150 x}{e^2}-\frac {250 x^2}{e^4}}{x} \, dx\)
  3.98.93 \(\int \frac {-7742196 x^8+7779240 x^7 \log ^2(2)+(-7461720 x^8+7482888 x^7 \log ^2(2)) \log (-x+\log ^2(2))+(-2874816 x^8+2878848 x^7 \log ^2(2)) \log ^2(-x+\log ^2(2))+(-553472 x^8+553728 x^7 \log ^2(2)) \log ^3(-x+\log ^2(2))+(-53248 x^8+53248 x^7 \log ^2(2)) \log ^4(-x+\log ^2(2))+(-2048 x^8+2048 x^7 \log ^2(2)) \log ^5(-x+\log ^2(2))}{-3125 x+3125 \log ^2(2)+(-3125 x+3125 \log ^2(2)) \log (-x+\log ^2(2))+(-1250 x+1250 \log ^2(2)) \log ^2(-x+\log ^2(2))+(-250 x+250 \log ^2(2)) \log ^3(-x+\log ^2(2))+(-25 x+25 \log ^2(2)) \log ^4(-x+\log ^2(2))+(-x+\log ^2(2)) \log ^5(-x+\log ^2(2))} \, dx\)
  3.98.94 \(\int \frac {2304+5632 x+512 x^2+3 x^4+22 x^5+6 x^6+e^9 (-768-x^4)}{x^4} \, dx\)
  3.98.95 \(\int \frac {-2 \log (-2 x^3 \log (3))+\log (x^2) (3 e^x-e^x x \log (-2 x^3 \log (3)))+3 \log (x^2) \log (\log (x^2))}{e^x x \log (x^2) \log (-2 x^3 \log (3))+x \log (x^2) \log (-2 x^3 \log (3)) \log (\log (x^2))} \, dx\)
  3.98.96 \(\int \frac {e^6 (4+2 x)+e^{\frac {2 e^5 x}{3}} (18 x+6 e^5 x^2)+e^{\frac {e^5 x}{3}} (e^3 (12+12 x)+e^8 (4 x+2 x^2))}{e^6} \, dx\)
  3.98.97 \(\int \frac {16-2 e^{\frac {2 x}{-4+2 x}}-16 x+4 x^2+16 x^3-16 x^4+4 x^5}{4-4 x+x^2} \, dx\)
  3.98.98 \(\int \frac {6-6 x+(9-6 x-18 x^2+12 x^3) \log (\frac {-1+2 x^2}{x^2})}{-2 x^4+4 x^6} \, dx\)
  3.98.99 \(\int \frac {(-36+12 e^4) \log (4 e^4-4 e^2 x+x^2)}{2 e^2-x} \, dx\)
  3.98.100 \(\int e^{-e^{16}+e^{-e^{16}} (-4 x^2+e^{e^{16}} (-4 x+e^x x)+(x^2-x^3) \log (5))} (-8 x+e^{e^{16}} (-4+e^x (1+x))+(2 x-3 x^2) \log (5)) \, dx\)