3.25 Integrals 2401 to 2500

\(\int \genfrac {}{}{}{}{e^{5+e^{\genfrac {}{}{}{}{2-x \log (3)}{x}}-3 x+3 x \log (x)} (-2 e^{\genfrac {}{}{}{}{2-x \log (3)}{x}}+3 x^2 \log (x))}{x^2} \, dx\) [2401]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{e^{1+x}}{2 x^6}+e^{\genfrac {}{}{}{}{e^{1+x}}{2 x^6}} (16-8 x-7 x^2+2 x^3+x^4)} (-16 x^7-28 x^8+12 x^9+8 x^{10}+e^{1+x} (-96+64 x+34 x^2-19 x^3-4 x^4+x^5))}{2 x^7} \, dx\) [2402]
\(\int \genfrac {}{}{}{}{24+194 x+196 x^2-e x^2+(144+168 x) \log (x)}{2 e x} \, dx\) [2403]
\(\int \genfrac {}{}{}{}{(6-2 e^x x)^5 (-6 e^x x+e^{2 x} (7 x^2+5 x^3))+(-6 x+3 x^2) \log (4)+e^x (2 x^2-x^3) \log (4)}{-27 e^x+9 e^{2 x} x} \, dx\) [2404]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{x^2+x \log (x)}{-x+\log (\genfrac {}{}{}{}{e^6 (9 x^2-6 x^3+x^4)+e^3 (-6 x+2 x^2) \log (x)+\log ^2(x)}{e^6 x^2})}} (-2 x+e^3 (3 x^2-x^4)+(-2+x-x^2-2 e^3 x^2) \log (x)+2 \log ^2(x)+(e^3 (-3 x-5 x^2+2 x^3)+(1+2 x+e^3 (-3 x+x^2)) \log (x)+\log ^2(x)) \log (\genfrac {}{}{}{}{e^6 (9 x^2-6 x^3+x^4)+e^3 (-6 x+2 x^2) \log (x)+\log ^2(x)}{e^6 x^2}))}{e^3 (-3 x^3+x^4)+x^2 \log (x)+(e^3 (6 x^2-2 x^3)-2 x \log (x)) \log (\genfrac {}{}{}{}{e^6 (9 x^2-6 x^3+x^4)+e^3 (-6 x+2 x^2) \log (x)+\log ^2(x)}{e^6 x^2})+(e^3 (-3 x+x^2)+\log (x)) \log ^2(\genfrac {}{}{}{}{e^6 (9 x^2-6 x^3+x^4)+e^3 (-6 x+2 x^2) \log (x)+\log ^2(x)}{e^6 x^2})} \, dx\) [2405]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{5} x^2 \log (x) \log (\log (-\genfrac {}{}{}{}{x}{20+5 x}))} (4 x \log (x)+((4 x+x^2) \log (-\genfrac {}{}{}{}{x}{20+5 x})+(8 x+2 x^2) \log (x) \log (-\genfrac {}{}{}{}{x}{20+5 x})) \log (\log (-\genfrac {}{}{}{}{x}{20+5 x})))}{(20+5 x) \log (-\genfrac {}{}{}{}{x}{20+5 x})} \, dx\) [2406]
\(\int \genfrac {}{}{}{}{4 e^{-58-4 x} (-2-4 x)}{x^3} \, dx\) [2407]
\(\int -\genfrac {}{}{}{}{2}{2 x+x \log (x^2)} \, dx\) [2408]
\(\int -\genfrac {}{}{}{}{4 \log (4) \log (\genfrac {}{}{}{}{-3 x^2+\log (4)}{x^2})}{-3 x^3+x \log (4)} \, dx\) [2409]
\(\int \genfrac {}{}{}{}{-2304+2304 e^{100}-864 e^{200}+144 e^{300}-9 e^{400}}{512 x^3} \, dx\) [2410]
\(\int \genfrac {}{}{}{}{4+(4 x-2 x^3) \log (x)-4 x^2 \log (x) \log (\log (x))-2 x \log (x) \log ^2(\log (x))}{((4 x^2+x^3+2 x^4) \log (x)+(4 x+2 x^2+4 x^3) \log (x) \log (\log (x))+(x+2 x^2) \log (x) \log ^2(\log (x))) \log ^2(\genfrac {}{}{}{}{-4-x-2 x^2+(-1-2 x) \log (\log (x))}{x+\log (\log (x))})} \, dx\) [2411]
\(\int \genfrac {}{}{}{}{2}{-10+5 x+(-2+x) \log (\genfrac {}{}{}{}{(100-100 x+25 x^2) \log (5)}{16 e^5})} \, dx\) [2412]
\(\int (128 e^9 x+6144 e^{22/3} x^3+98304 e^{17/3} x^5+524288 e^4 x^7-256 e^{4+7 e^{16}} x^7+8 e^{4+8 e^{16}} x^7+e^{e^{16}} (-64 e^9 x-6144 e^{22/3} x^3-147456 e^{17/3} x^5-1048576 e^4 x^7)+e^{3 e^{16}} (-384 e^{22/3} x^3-30720 e^{17/3} x^5-458752 e^4 x^7)+e^{5 e^{16}} (-576 e^{17/3} x^5-28672 e^4 x^7)+e^{6 e^{16}} (24 e^{17/3} x^5+3584 e^4 x^7)+e^{4 e^{16}} (24 e^{22/3} x^3+5760 e^{17/3} x^5+143360 e^4 x^7)+e^{2 e^{16}} (8 e^9 x+2304 e^{22/3} x^3+92160 e^{17/3} x^5+917504 e^4 x^7)) \, dx\) [2413]
\(\int \genfrac {}{}{}{}{-6 e^{10+x} \log (5)-6 e^5 x \log (5)+(4 e^5 x+4 e^{10+x} x) \log (e^{5+x}+x)+(2 e^{10+x}+2 e^5 x) \log ^2(e^{5+x}+x)}{e^{5+x}+x} \, dx\) [2414]
\(\int (28+18 x+4 \log (x)) \, dx\) [2415]
\(\int \genfrac {}{}{}{}{25 e^2-30 e^4+e^{x^2} (50 e^2 x+e^4 (15-30 x^2))}{200-240 e^2 x+72 e^4 x^2} \, dx\) [2416]
\(\int \genfrac {}{}{}{}{1}{5} e^{x^2} (2+13 x+4 x^2+3 x^3+e^x (-2-2 x-4 x^2)) \, dx\) [2417]
\(\int \genfrac {}{}{}{}{(-2+2 x) \log (\genfrac {}{}{}{}{50 e^{5+x}}{x})-\log ^2(\genfrac {}{}{}{}{50 e^{5+x}}{x})}{x^2} \, dx\) [2418]
\(\int (e^x+6 x+3 x^2-18 e^4 x^3 \log (x)-36 e^4 x^3 \log ^2(x)) \, dx\) [2419]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{8-2 x^5-e^3 x^2 \log (5)}{2 x^3+e^3 \log (5)}} (-48 x^2-8 x^7-8 e^3 x^4 \log (5)-2 e^6 x \log ^2(5))}{4 x^6+4 e^3 x^3 \log (5)+e^6 \log ^2(5)} \, dx\) [2420]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{8 x}{-3+3 x}} (9-e^4)+\genfrac {}{}{}{}{8 x}{-3+3 x}} (-72+8 e^4)}{3-6 x+3 x^2} \, dx\) [2421]
\(\int (1+2 x) \, dx\) [2422]
\(\int \genfrac {}{}{}{}{(16-12 x^2+4 x^3+e^3 (-16 x^2-16 x^3+28 x^4-8 x^5)+e^3 (-16 x-16 x^2+28 x^3-8 x^4) \log (x)) \log (\log ^2(e^{-e^3 (2+x+x^2)} (x+\log (x))))+(-4 x^2+2 x^3+(-4 x+2 x^2) \log (x)) \log (e^{-e^3 (2+x+x^2)} (x+\log (x))) \log ^2(\log ^2(e^{-e^3 (2+x+x^2)} (x+\log (x))))}{(x^2+x \log (x)) \log (e^{-e^3 (2+x+x^2)} (x+\log (x)))} \, dx\) [2423]
\(\int e^{\genfrac {}{}{}{}{2 (-1+e^5 (3 x-x^2)-e^5 \log (3))}{e^5}} (6-4 x) \, dx\) [2424]
\(\int \genfrac {}{}{}{}{e^x (-160 x-32 x^2)-512 \log (x)+(e^{2 x} (50 x^2+20 x^3+2 x^4)+e^x (160 x-160 x^2-32 x^3) \log (x)) \log (\log (x))+e^{2 x} (60 x^3+22 x^4+2 x^5) \log (x) \log ^2(\log (x))}{x^3 \log (x)} \, dx\) [2425]
\(\int \genfrac {}{}{}{}{-16-20 x+x^2-x^3+(3 x^2-2 x^3) \log (x)+(16+x^2-2 x^3) \log (x) \log (\log (x))}{x^2 \log (x)} \, dx\) [2426]
\(\int \genfrac {}{}{}{}{-50 x^2-x^3+(75 x^2+3 x^3) \log (\genfrac {}{}{}{}{1}{25} (25 x+x^2))}{800+32 x} \, dx\) [2427]
\(\int \genfrac {}{}{}{}{1}{8} (40-6 x^2-9 x^2 \log (x^2)) \, dx\) [2428]
\(\int \genfrac {}{}{}{}{-56+20 x-22 x^2+9 x^3-x^4+(28-10 x+x^2) \log (2)+(-16-8 x^2+2 x^3+8 \log (2)) \log (x)+(-40+18 x-2 x^2+(20-9 x+x^2) \log (2)+(-16+4 x+(8-2 x) \log (2)) \log (x)) \log (\genfrac {}{}{}{}{4-x}{5 x-x^2+2 x \log (x)})}{40 x^2-18 x^3+2 x^4+(-20 x^2+9 x^3-x^4) \log (2)+(16 x^2-4 x^3+(-8 x^2+2 x^3) \log (2)) \log (x)} \, dx\) [2429]
\(\int \genfrac {}{}{}{}{468-432 x+81 x^2+e^{2 x} (52+9 x^2)+e^x (312-144 x+126 x^2)}{27+18 e^x+3 e^{2 x}} \, dx\) [2430]
\(\int \genfrac {}{}{}{}{-4+3 x-6 x^2+3 x^3-2 x^4+(1-x+2 x^2) \log (x)}{-3 x+x^2-x^3+x \log (x)} \, dx\) [2431]
\(\int \genfrac {}{}{}{}{e^{-x^2+\genfrac {}{}{}{}{2 e^{-x^2} (6+2 \log (5))}{x^3}} (-36-24 x^2+(-12-8 x^2) \log (5))}{x^4} \, dx\) [2432]
\(\int \genfrac {}{}{}{}{9-2 x \log (4)+e^x (-36+36 x-24 x^2+8 x \log (4)-4 x^2 \log ^2(4))+(2 x+e^x (-8 x+8 x^2 \log (4))) \log (x)-4 e^x x^2 \log ^2(x)}{4 x^2} \, dx\) [2433]
\(\int \genfrac {}{}{}{}{27-54 x+(8-8 x) \log (x^2)+(-27+54 x) \log ^2(x^2)+(9-18 x) \log ^4(x^2)+(-1+2 x) \log ^6(x^2)}{27 x-27 x^2+(-27 x+27 x^2) \log ^2(x^2)+(9 x-9 x^2) \log ^4(x^2)+(-x+x^2) \log ^6(x^2)} \, dx\) [2434]
\(\int \genfrac {}{}{}{}{1}{3} e^{2 x} (x+x^2) \log (5) \, dx\) [2435]
\(\int \genfrac {}{}{}{}{16 x^5+e^4 (-5+10 x^2+x^5)+(-32 x^3-2 e^4 x^3) \log (x)+(16 x+e^4 x) \log ^2(x)}{16 x^5-32 x^3 \log (x)+16 x \log ^2(x)} \, dx\) [2436]
\(\int \genfrac {}{}{}{}{-200+100 x+e^x (850-125 x-300 x^2-100 x^3)}{4 x^3} \, dx\) [2437]
\(\int \genfrac {}{}{}{}{-1-x+e^{9+6 x^2+x^4} (x+2 x^2+12 x^3+12 x^4+4 x^5+4 x^6) \log (4)}{x} \, dx\) [2438]
\(\int \genfrac {}{}{}{}{-8750+5250 x-1050 x^2+1820 x^3-1050 x^4+210 x^5-14 x^6+(-50+10 x-20 x^3+4 x^4) \log (\genfrac {}{}{}{}{5-x^3}{x})+(25+5 x-5 x^3-x^4) \log ^2(\genfrac {}{}{}{}{5-x^3}{x})}{7500-4500 x+900 x^2-1560 x^3+900 x^4-180 x^5+12 x^6} \, dx\) [2439]
\(\int \genfrac {}{}{}{}{40 e^5+550 x-200 x^2}{-33275 x^4+18150 x^5-3300 x^6+200 x^7+e^{10} (-5324+2904 x-528 x^2+32 x^3)+e^5 (26620 x^2-14520 x^3+2640 x^4-160 x^5)} \, dx\) [2440]
\(\int \genfrac {}{}{}{}{e^{-5 x} (-62500-68750 x+15625 x^2+e^{e^x x} (-50000-55000 x+12500 x^2+e^x (12500 x+10000 x^2-2500 x^3))+e^{2 e^x x} (-15000-16500 x+3750 x^2+e^x (7500 x+6000 x^2-1500 x^3))+e^{3 e^x x} (-2000-2200 x+500 x^2+e^x (1500 x+1200 x^2-300 x^3))+e^{4 e^x x} (-100-110 x+25 x^2+e^x (100 x+80 x^2-20 x^3)))}{x^5} \, dx\) [2441]
\(\int \genfrac {}{}{}{}{1}{3} e^{e^{\genfrac {}{}{}{}{1}{3} (-3+e^{5 e^{e^x}-5 x}+6 x)}+\genfrac {}{}{}{}{1}{3} (-3+e^{5 e^{e^x}-5 x}+6 x)} (6+e^{5 e^{e^x}-5 x} (-5+5 e^{e^x+x})) \, dx\) [2442]
\(\int \genfrac {}{}{}{}{5+e^3 (-1-4 x)-6 x-x^2}{75+3 e^6+30 x^2+3 x^4+e^3 (-30-6 x^2)} \, dx\) [2443]
\(\int \genfrac {}{}{}{}{(512 x+1024 x^2+512 x^3) \log (6+x)+(1536+6400 x+5632 x^2+768 x^3) \log ^2(6+x)}{6+x+(-3072 x-6656 x^2-4096 x^3-512 x^4) \log ^2(6+x)+(393216 x^2+1638400 x^3+2621440 x^4+1966080 x^5+655360 x^6+65536 x^7) \log ^4(6+x)} \, dx\) [2444]
\(\int \genfrac {}{}{}{}{-9+(-25 x-50 e^{x^2} x^2) \log ^2(2 x)}{3 x \log ^2(2 x)} \, dx\) [2445]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{3} (-e^{-4+\sqrt [4]{x}}-3 x \log (3))} (-e^{-4+\sqrt [4]{x}} \sqrt [4]{x}-12 x \log (3))}{48 x} \, dx\) [2446]
\(\int \genfrac {}{}{}{}{e^{2+4 x-x^2} (32+128 x-64 x^2)}{-3+32 e^{2+4 x-x^2} x} \, dx\) [2447]
\(\int \genfrac {}{}{}{}{-5 x+(-30-5 x) \log (6+x)}{54+9 x+(-72-12 x) \log (2)+(24+4 x) \log ^2(2)+(36 x+6 x^2+(-24 x-4 x^2) \log (2)) \log (6+x)+(6 x^2+x^3) \log ^2(6+x)} \, dx\) [2448]
\(\int \genfrac {}{}{}{}{-20 x+6 e^{3+3 e^{e^2}} \log (\log (5))}{x^4 \log (\log (5))} \, dx\) [2449]
\(\int \genfrac {}{}{}{}{x^5+e^{\genfrac {}{}{}{}{9-6 x+x^2}{x^4}} (-180+90 x-10 x^2)}{x^5} \, dx\) [2450]
\(\int \genfrac {}{}{}{}{-32 x^3+e^x (3-3 x-80 x^2) \log (2)-50 e^{2 x} x \log ^2(2)+e^{4 x} (-64 x^2-160 e^x x \log (2)-100 e^{2 x} \log ^2(2))}{16 x^2+40 e^x x \log (2)+25 e^{2 x} \log ^2(2)} \, dx\) [2451]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{31} (54+6 x)} (-31+6 x)}{31 e^{\genfrac {}{}{}{}{1}{31} (54+6 x)} x-465 x^2} \, dx\) [2452]
\(\int \genfrac {}{}{}{}{-20+60 x^2-80 x^3+60 x^4+e^{4 x} (-20+80 x)+e^{3 x} (80-240 x+240 x^2)+e^{2 x} (-120+240 x-280 x^2+240 x^3)+e^x (80-80 x+80 x^4)+(20-80 x+180 x^2-160 x^3+100 x^4+e^{4 x} (20+80 x)+e^{3 x} (-80-80 x+240 x^2)+e^{2 x} (120-160 x-40 x^2+240 x^3)+e^x (-80+240 x-320 x^2+160 x^3+80 x^4)) \log (x)}{1+3 \log (x)+3 \log ^2(x)+\log ^3(x)} \, dx\) [2453]
\(\int \genfrac {}{}{}{}{12800 x-25600 x^3+14400 x^5-3200 x^7+250 x^9}{6400 x^2-6400 x^4+2400 x^6-400 x^8+25 x^{10}+\log ^5(4)} \, dx\) [2454]
\(\int \genfrac {}{}{}{}{25 x^2+10 x^5+x^8+e^5 (25 x+5 x^4)+(-25 x^2+15 e^5 x^4-10 x^5-x^8) \log (x)+(-25-10 x^3-x^6+(-25-10 x^3-x^6) \log (x)) \log (\log (3))}{(25 x^2+10 x^5+x^8) \log ^2(x)} \, dx\) [2455]
\(\int \genfrac {}{}{}{}{-5764801+24559829 x-12395625 x^2+1562500 x^3}{5764801 x-3001250 x^2+390625 x^3} \, dx\) [2456]
\(\int \genfrac {}{}{}{}{96 x^2+24 x^3+3 x^5+(32+8 x+x^3) \log (2)+(32+16 x+2 x^2-2 x^3) \log (2) \log (\genfrac {}{}{}{}{16+8 x+x^2-x^3}{x^2})}{(-48 x^3-24 x^4-3 x^5+3 x^6+(-16 x-8 x^2-x^3+x^4) \log (2)) \log (\genfrac {}{}{}{}{16+8 x+x^2-x^3}{x^2})} \, dx\) [2457]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{4 x^2}{25}} (-25 x^2-32 x^3+8 x^4+e^{\genfrac {}{}{}{}{4 x^2}{25}} (200+450 x^2-675 x^4))}{225 x^2} \, dx\) [2458]
\(\int \genfrac {}{}{}{}{-1-x^2-130050 e^{2-2 e^x+x} x^2+2 x^3}{x^2} \, dx\) [2459]
\(\int \genfrac {}{}{}{}{-4 x+3 \log (\genfrac {}{}{}{}{5}{3})}{-2 x^2+(-1+3 x) \log (\genfrac {}{}{}{}{5}{3})} \, dx\) [2460]
\(\int \genfrac {}{}{}{}{-x+8 \log (16)-x \log (x)}{(-x^2+8 x \log (16)) \log (x)} \, dx\) [2461]
\(\int \genfrac {}{}{}{}{120 x^2-50 x^3 \log (x)+50 x^3 \log (2 x)}{64+80 x^3+25 x^6+(-80 x-50 x^4) \log (x)+25 x^2 \log ^2(x)+(80 x+50 x^4-50 x^2 \log (x)) \log (2 x)+25 x^2 \log ^2(2 x)} \, dx\) [2462]
\(\int \genfrac {}{}{}{}{e^{-2-2 x} (-1-2 x+48 e^{2+2 x} x^2)}{16 x^2} \, dx\) [2463]
\(\int \genfrac {}{}{}{}{4 e^{5/2}+6 x^2+4 x^3}{x^3} \, dx\) [2464]
\(\int \genfrac {}{}{}{}{x-108 x^6+36 x^7-36 x^{12}+12 x^{13}+(-3+x) \log (e^{9+6 x^6+x^{12}} (12-4 x))}{-3+x} \, dx\) [2465]
\(\int \genfrac {}{}{}{}{e^{e^{\genfrac {}{}{}{}{-10+4 x-x^2+4 x^4-x^5}{x+x^4}} x+\genfrac {}{}{}{}{-10+4 x-x^2+4 x^4-x^5}{x+x^4}} (10+x-x^2+40 x^3+2 x^4-2 x^5+x^7-x^8)}{x+2 x^4+x^7} \, dx\) [2466]
\(\int \genfrac {}{}{}{}{1125 \log (2 x)-1125 \log ^2(2 x)}{8 x^3} \, dx\) [2467]
\(\int \genfrac {}{}{}{}{16384 x^5+e^{\genfrac {}{}{}{}{256+e^{16}+768 x+864 x^2+176 x^3-495 x^4-432 x^5-12 x^6+144 x^7+54 x^8-16 x^9-12 x^{10}+x^{12}+e^{12} (16+12 x-4 x^3)+e^8 (96+144 x+54 x^2-48 x^3-36 x^4+6 x^6)+e^4 (256+576 x+432 x^2-84 x^3-288 x^4-108 x^5+48 x^6+36 x^7-4 x^9)}{65536 x^4}} (-256-e^{16}-576 x-432 x^2-44 x^3-108 x^5-6 x^6+108 x^7+54 x^8-20 x^9-18 x^{10}+2 x^{12}+e^{12} (-16-9 x+x^3)+e^8 (-96-108 x-27 x^2+12 x^3+3 x^6)+e^4 (-256-432 x-216 x^2+21 x^3-27 x^5+24 x^6+27 x^7-5 x^9))}{16384 x^5} \, dx\) [2468]
\(\int \genfrac {}{}{}{}{2-4 e^9 x+2 e^{18} x^2+e^{\genfrac {}{}{}{}{e^9 x+(-1+e^9 x) \log (2) \log (3)}{-1+e^9 x}} (-2+2 e^9 x-2 e^{18} x^2)}{1-2 x+x^2+e^{\genfrac {}{}{}{}{2 (e^9 x+(-1+e^9 x) \log (2) \log (3))}{-1+e^9 x}} (1-2 e^9 x+e^{18} x^2)+e^9 (-2 x+4 x^2-2 x^3)+e^{18} (x^2-2 x^3+x^4)+e^{\genfrac {}{}{}{}{e^9 x+(-1+e^9 x) \log (2) \log (3)}{-1+e^9 x}} (-2+2 x+e^9 (4 x-4 x^2)+e^{18} (-2 x^2+2 x^3))} \, dx\) [2469]
\(\int e^{e^{4 x}-2 e^{2 x} x+x^2} (4 e^{4 x}+e^{2 x} (-2-4 x)+2 x) \, dx\) [2470]
\(\int \genfrac {}{}{}{}{100 x^2+(-8+100 x^3) \log (x)+((4-500 x^2+100 x^3) \log (x)+100 x^2 \log (x) \log (\log (x))) \log (\genfrac {}{}{}{}{1-125 x^2+25 x^3+25 x^2 \log (\log (x))}{25 x^2})}{(1-125 x^2+25 x^3) \log (x)+25 x^2 \log (x) \log (\log (x))} \, dx\) [2471]
\(\int \genfrac {}{}{}{}{(-4+8 x) \log (\genfrac {}{}{}{}{e^{4 x}}{x^2})}{x} \, dx\) [2472]
\(\int \genfrac {}{}{}{}{e^{-e^x+x} (-1+5 x+2 x^2-x^3+e^x (-2-3 x+x^2+x^3))}{(20+10 x) (2+5 x-5 x^3+x^5)} \, dx\) [2473]
\(\int \genfrac {}{}{}{}{-4 x^5 \log (x)+(-3 x-x^5+(-6 x-2 x^5) \log (x)) \log (\genfrac {}{}{}{}{e^5}{3+x^4})+(24+24 x+8 x^4+8 x^5) \log ^2(\genfrac {}{}{}{}{e^5}{3+x^4})}{(12+4 x^4) \log ^2(\genfrac {}{}{}{}{e^5}{3+x^4})} \, dx\) [2474]
\(\int \genfrac {}{}{}{}{4+3 x^2-4 x^3}{2 x^2} \, dx\) [2475]
\(\int \genfrac {}{}{}{}{-25+190 x-81 x^2-56 x^3+(-25+70 x+31 x^2) \log (x)+(-10-4 x) \log ^2(x)}{400 x^4+160 x^5+16 x^6+(-200 x^3-80 x^4-8 x^5) \log (x)+(25 x^2+10 x^3+x^4) \log ^2(x)} \, dx\) [2476]
\(\int \genfrac {}{}{}{}{800 x \log (2)+2 e x^2 \log ^2(2)+e^{5+e^x-x} (16 e^x x^3 \log (2)+(-16 x^2-16 x^3) \log (2))}{40000+64 e^{10+2 e^x-2 x} x^2+(400 e x+800 x^2) \log (2)+(e^2 x^2+4 e x^3+4 x^4) \log ^2(2)+e^{5+e^x-x} (-3200 x+(-16 e x^2-32 x^3) \log (2))} \, dx\) [2477]
\(\int \genfrac {}{}{}{}{-3 e+(-12 e-8 x^3) \log (x)-12 e \log ^2(x)}{x^2+4 x^2 \log (x)+4 x^2 \log ^2(x)} \, dx\) [2478]
\(\int \genfrac {}{}{}{}{20+e^2 (5-5 x)+e^{10} (5-5 x)-25 x+5 x^2+(-100+e^2 (-25-5 x)+e^{10} (-25-5 x)+30 x+10 x^2+(20+5 e^2+5 e^{10}-10 x) \log (x)) \log (5+x-\log (x))}{-5-x+\log (x)} \, dx\) [2479]
\(\int \genfrac {}{}{}{}{-2+4 x^2-2 x^3}{-2 x+x^2} \, dx\) [2480]
\(\int \genfrac {}{}{}{}{-175+248 x-49 x^2+(-248+346 x-98 x^2) \log (-1+x)}{-25+25 x} \, dx\) [2481]
\(\int \genfrac {}{}{}{}{-4 x^2+3 e^2 x^2+6 x^3+(4 x-4 e^2 x-8 x^2) \log (e^2+2 x)+(e^2+2 x) \log ^2(e^2+2 x)}{e^2+2 x} \, dx\) [2482]
\(\int \genfrac {}{}{}{}{160+e^x (96-64 x)+32 x-64 x^2+(192 x-128 x^2) \log (x)}{-3 x^3+2 x^4+e^{3 x} (-3+2 x)+e^{2 x} (-9 x+6 x^2)+e^x (-9 x^2+6 x^3)+(-3 x^6+2 x^7) \log ^3(x)+(-9 x^2+6 x^3+e^{2 x} (-9+6 x)+e^x (-18 x+12 x^2)) \log (\genfrac {}{}{}{}{1}{-3+2 x})+(-9 x+6 x^2+e^x (-9+6 x)) \log ^2(\genfrac {}{}{}{}{1}{-3+2 x})+(-3+2 x) \log ^3(\genfrac {}{}{}{}{1}{-3+2 x})+\log ^2(x) (-9 x^5+6 x^6+e^x (-9 x^4+6 x^5)+(-9 x^4+6 x^5) \log (\genfrac {}{}{}{}{1}{-3+2 x}))+\log (x) (-9 x^4+6 x^5+e^{2 x} (-9 x^2+6 x^3)+e^x (-18 x^3+12 x^4)+(-18 x^3+12 x^4+e^x (-18 x^2+12 x^3)) \log (\genfrac {}{}{}{}{1}{-3+2 x})+(-9 x^2+6 x^3) \log ^2(\genfrac {}{}{}{}{1}{-3+2 x}))} \, dx\) [2483]
\(\int \genfrac {}{}{}{}{34+4 x-4 x^2-2 e^x x^2+e^{3 x} x^3+e^{2 x} (-16 x+2 x^3)+(2-e^{2 x} x) \log (e^{-2 x} (-2+e^{2 x} x))}{-2 x^2+e^{2 x} x^3} \, dx\) [2484]
\(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{3+3 x}{x})^{\genfrac {}{}{}{}{e^{e^4 x} (5-x)}{x}} ((2 x+2 x^2) \log (\genfrac {}{}{}{}{3+3 x}{x})+e^{e^4 x} \log (\genfrac {}{}{}{}{3+3 x}{x}) (-10+2 x+(-10-10 x+e^4 (10 x+8 x^2-2 x^3)) \log (\genfrac {}{}{}{}{3+3 x}{x})))}{(x+x^2) \log (\genfrac {}{}{}{}{3+3 x}{x})} \, dx\) [2485]
\(\int \genfrac {}{}{}{}{1}{25} (-175+25 x+4 e^{-8 x} (-70+580 x-80 x^2)+16 e^{-16 x} (4 x-32 x^2)) \, dx\) [2486]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{125+50 x+5 x^2+153 x^6+x^7}{5 x^6}} (-750-250 x-20 x^2+x^7)}{5 x^7} \, dx\) [2487]
\(\int \genfrac {}{}{}{}{450+180 x+30 x^2+e^3 (-270 x^2-60 x^3)}{25 x^2+10 x^3+x^4+e^6 x^6+e^3 (-10 x^4-2 x^5)} \, dx\) [2488]
\(\int \genfrac {}{}{}{}{e^{4+x} (2 x-x^2)+e^8 (48 x+4 x^2)}{e^{2 x}+e^{4+x} (48+8 x)+e^8 (576+192 x+16 x^2)} \, dx\) [2489]
\(\int \genfrac {}{}{}{}{2+(x^2+2 e^x x^2) \log (\log (3))}{2 x^2 \log (\log (3))} \, dx\) [2490]
\(\int \genfrac {}{}{}{}{1536-256 x+2528 x^2-1072 x^3+192 x^4+336 x^5-32 x^6-32 x^7+(768 x-128 x^2+128 x^3-384 x^4) \log (-2+x)+(-512+256 x-1024 x^2+512 x^3) \log ^2(-2+x)+(-512 x+1216 x^2+416 x^3-160 x^4-64 x^5+(-1280 x-128 x^2+256 x^3) \log (-2+x)) \log (x)}{-4608 x-768 x^2+2752 x^3+1120 x^4-450 x^5-359 x^6-32 x^7+30 x^8+10 x^9+x^{10}+(-4608 x^2-768 x^3+1888 x^4+688 x^5-144 x^6-112 x^7-16 x^8) \log (-2+x)+(3072 x-512 x^2-2240 x^3-288 x^4+384 x^5+96 x^6) \log ^2(-2+x)+(1536 x^2-256 x^3-256 x^4) \log ^3(-2+x)+(-512 x+256 x^2) \log ^4(-2+x)} \, dx\) [2491]
\(\int \genfrac {}{}{}{}{4-2 x+4 x^3+e^x (2-2 x^2)+e^{3 x} (4+e^x (2-8 x)-12 x+8 x^2+6 x^3)+(-4-2 x^2+e^x (-2+2 x)) \log (x)}{-2 x^2-e^x x^2+x^3+x^4+e^{3 x} (-2 x-e^x x+x^2+x^3)+(2 x+e^x x-x^2-x^3) \log (x)} \, dx\) [2492]
\(\int \genfrac {}{}{}{}{-16+24 x^2-16 x^3+3 x^4+(-32+24 x^2-8 x^3) \log (25)+(-24+6 x^2) \log ^2(25)-8 \log ^3(25)-\log ^4(25)}{x^2} \, dx\) [2493]
\(\int \genfrac {}{}{}{}{24+21 x+6 x^2-22 x^3-12 x^4+6 x^5+e^x (18 x^3+12 x^4+2 x^5-12 x^6-4 x^7+2 x^9)}{18 x^3+12 x^4+2 x^5-12 x^6-4 x^7+2 x^9} \, dx\) [2494]
\(\int \genfrac {}{}{}{}{-20+5 x^2-174 x^3}{25 x^3} \, dx\) [2495]
\(\int \genfrac {}{}{}{}{-2-2 x+x \log (x)}{(x+x^2) \log (x)} \, dx\) [2496]
\(\int \genfrac {}{}{}{}{1296+e^4 (360+144 x)+e^8 (10 x+3 x^2)}{e^8} \, dx\) [2497]
\(\int \genfrac {}{}{}{}{-x-2 x^2+e^{\genfrac {}{}{}{}{2-5 e^{e^{x^2}} x^2}{x}} (2+e^{e^{x^2}} (5 x^2+10 e^{x^2} x^4))}{x^2} \, dx\) [2498]
\(\int \genfrac {}{}{}{}{2 e^5 (120-60 x-4 x^3)}{(-3 x+x^2) (-3 x^2+x^3+(-3 x^2+x^3) \log (4))} \, dx\) [2499]
\(\int e^{-4+e^{e^e}-x} (1+e^{4-e^{e^e}+x}-x) \, dx\) [2500]