3.4.1 \(\int \genfrac {}{}{}{}{-1+7 x+2 x^2}{-1-x+x^2+x^3} \, dx\) [301]
3.4.2 \(\int \genfrac {}{}{}{}{1+2 x}{-1+3 x-3 x^2+x^3} \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{5-5 x+7 x^2+x^3}{(-1+x)^2 (1+x)^3} \, dx\) [303]
3.4.4 \(\int \genfrac {}{}{}{}{1+3 x+3 x^2}{1+2 x+2 x^2+x^3} \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx\) [305]
3.4.6 \(\int \genfrac {}{}{}{}{1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx\) [306]
3.4.7 \(\int \genfrac {}{}{}{}{4-x+2 x^2}{4 x+x^3} \, dx\) [307]
3.4.8 \(\int \genfrac {}{}{}{}{1+x^2+x^3}{(-1+x) x (1+x^2)^3 (1+x+x^2)} \, dx\) [308]
3.4.9 \(\int \genfrac {}{}{}{}{1-3 x+2 x^2-x^3}{(1+x^2)^2} \, dx\) [309]
3.4.10 \(\int \genfrac {}{}{}{}{1-3 x+2 x^2-x^3}{x (1+x^2)^2} \, dx\) [310]
3.4.11 \(\int \genfrac {}{}{}{}{1-x-x^2+x^3+x^4}{-x+x^3} \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{2-4 x^2+x^3}{(1+x^2) (2+x^2)} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{1+x^2+x^4}{(1+x^2) (4+x^2)^2} \, dx\) [313]
3.4.14 \(\int \genfrac {}{}{}{}{1+x^2+x^3}{2 x^2+x^3+x^4} \, dx\) [314]
3.4.15 \(\int \genfrac {}{}{}{}{1-12 x+x^2+x^3}{-12+x+x^2} \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{-2+3 x+5 x^2}{2 x^2+x^3} \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx\) [319]
3.4.20 \(\int \genfrac {}{}{}{}{-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx\) [320]
3.4.21 \(\int \genfrac {}{}{}{}{8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx\) [321]
3.4.22 \(\int \genfrac {}{}{}{}{9+x^4}{x^2 (9+x^2)} \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{2 x+x^4}{1+x^2} \, dx\) [323]
3.4.24 \(\int \genfrac {}{}{}{}{-x+x^3}{(-1+x)^2 (1+x^2)} \, dx\) [324]
3.4.25 \(\int \genfrac {}{}{}{}{2+5 x+3 x^2+2 x^3}{1+x+x^2} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{3-4 x-5 x^2+3 x^3}{x^3 (-1+x+x^2)} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{4+8 x+5 x^2+2 x^3}{(2+2 x+x^2)^2} \, dx\) [327]
3.4.28 \(\int \genfrac {}{}{}{}{(-1+x)^4 x^4}{1+x^2} \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{-20 x+4 x^2}{9-10 x^2+x^4} \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{-1+x+4 x^3}{(-1+x) x^2 (1+x^2)} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{1-3 x+2 x^2-4 x^3+x^4}{(1+x^2)^3} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{1-3 x+2 x^2-4 x^3+x^4}{1+3 x^2+3 x^4+x^6} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{1+x+2 x^2+2 x^3}{x^2+x^3+x^4} \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{x^2 (c+d x)^2}{a+b x^3} \, dx\) [334]
3.4.35 \(\int \genfrac {}{}{}{}{-x+2 x^3+4 x^5}{(3+2 x^2+x^4)^2} \, dx\) [335]
3.4.36 \(\int \genfrac {}{}{}{}{x+x^5}{(1+2 x^2+2 x^4)^3} \, dx\) [336]
3.4.37 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{d+e x^2+f x^4} \, dx\) [337]
3.4.38 \(\int \genfrac {}{}{}{}{(d+e x)^2}{a+b x^2+c x^4} \, dx\) [338]
3.4.39 \(\int \genfrac {}{}{}{}{x^2}{(a+b x) (c+d x)} \, dx\) [339]
3.4.40 \(\int \genfrac {}{}{}{}{x^2}{(c+d x) (a+b x^2)} \, dx\) [340]
3.4.41 \(\int \genfrac {}{}{}{}{x^2}{(c+d x) (a+b x^3)} \, dx\) [341]
3.4.42 \(\int \genfrac {}{}{}{}{x^2}{(c+d x) (a+b x^4)} \, dx\) [342]
3.4.43 \(\int \genfrac {}{}{}{}{x}{(1-x) (1+x)^2} \, dx\) [343]
3.4.44 \(\int \genfrac {}{}{}{}{x^2}{(1-x^2) (1+x^2)^2} \, dx\) [344]
3.4.45 \(\int \genfrac {}{}{}{}{x^3}{(1-x^3) (1+x^3)^2} \, dx\) [345]
3.4.46 \(\int \genfrac {}{}{}{}{9+x+3 x^2+x^3}{(1+x^2) (3+x^2)} \, dx\) [346]
3.4.47 \(\int \genfrac {}{}{}{}{3+x+x^2+x^3}{(1+x^2) (3+x^2)} \, dx\) [347]
3.4.48 \(\int \genfrac {}{}{}{}{-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\) [348]
3.4.49 \(\int \genfrac {}{}{}{}{1}{(4-4 x+x^2) (5-4 x+x^2)} \, dx\) [349]
3.4.50 \(\int \genfrac {}{}{}{}{-3+x+x^2}{(-3+x) x^2} \, dx\) [350]
3.4.51 \(\int \genfrac {}{}{}{}{1+x+4 x^2}{x+4 x^3} \, dx\) [351]
3.4.52 \(\int \genfrac {}{}{}{}{1-x+3 x^2}{-x^2+x^3} \, dx\) [352]
3.4.53 \(\int \genfrac {}{}{}{}{4+3 x+x^2}{x+x^2} \, dx\) [353]
3.4.54 \(\int \genfrac {}{}{}{}{4+x+3 x^2}{x+x^3} \, dx\) [354]
3.4.55 \(\int \genfrac {}{}{}{}{7-4 x+8 x^2}{(1+4 x) (1+x^2)} \, dx\) [355]
3.4.56 \(\int \genfrac {}{}{}{}{x^2}{(-1+x) (1+2 x+x^2)} \, dx\) [356]
3.4.57 \(\int \genfrac {}{}{}{}{-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx\) [357]
3.4.58 \(\int \genfrac {}{}{}{}{5-4 x+3 x^2}{(-1+x) (1+x^2)} \, dx\) [358]
3.4.59 \(\int \genfrac {}{}{}{}{-1-2 x+x^2}{(-1+x)^2 (1+x^2)} \, dx\) [359]
3.4.60 \(\int \genfrac {}{}{}{}{5+x^3}{(10-6 x+x^2) (\genfrac {}{}{}{}{1}{2}-x+x^2)} \, dx\) [360]
3.4.61 \(\int \genfrac {}{}{}{}{4+3 x+x^2}{(-3+x) (-2+x) (-1+x)} \, dx\) [361]
3.4.62 \(\int \genfrac {}{}{}{}{1+16 x}{(5+x)^2 (-3+2 x) (1+x+x^2)} \, dx\) [362]
3.4.63 \(\int \genfrac {}{}{}{}{-1+x^3}{1+x+x^2} \, dx\) [363]
3.4.64 \(\int \genfrac {}{}{}{}{-3+x^3}{-7-6 x+x^2} \, dx\) [364]
3.4.65 \(\int \genfrac {}{}{}{}{1+x^3}{(13+4 x+x^2)^2} \, dx\) [365]
3.4.66 \(\int \genfrac {}{}{}{}{-32+36 x-42 x^2+21 x^3-10 x^4+3 x^5}{x (1+x^2) (4+x^2)^2} \, dx\) [366]
3.4.67 \(\int \genfrac {}{}{}{}{-1+x^4+7 x^5+x^9}{-7+6 x^4+x^8} \, dx\) [367]
3.4.68 \(\int \genfrac {}{}{}{}{1+x^3+x^6}{x+x^5} \, dx\) [368]
3.4.69 \(\int \genfrac {}{}{}{}{1+x^2}{-x+x^2} \, dx\) [369]
3.4.70 \(\int \genfrac {}{}{}{}{1+x^3}{-x+x^3} \, dx\) [370]
3.4.71 \(\int \genfrac {}{}{}{}{1+x^3}{-x^2+x^3} \, dx\) [371]
3.4.72 \(\int \genfrac {}{}{}{}{-1+x^5}{-x+x^3} \, dx\) [372]
3.4.73 \(\int \genfrac {}{}{}{}{1+x^4}{x^3+x^5} \, dx\) [373]
3.4.74 \(\int \genfrac {}{}{}{}{1+x^2}{x+2 x^2+x^3} \, dx\) [374]
3.4.75 \(\int \genfrac {}{}{}{}{1+x^5}{-10 x-3 x^2+x^3} \, dx\) [375]
3.4.76 \(\int \genfrac {}{}{}{}{15-5 x+x^2+x^3}{(5+x^2) (3+2 x+x^2)} \, dx\) [376]
3.4.77 \(\int \genfrac {}{}{}{}{1}{(1+x^2) (3+\genfrac {}{}{}{}{10 x}{1+x^2})} \, dx\) [377]
3.4.78 \(\int \genfrac {}{}{}{}{x^3}{13+\genfrac {}{}{}{}{2}{x}+15 x} \, dx\) [378]
3.4.79 \(\int \genfrac {}{}{}{}{x^2}{13+\genfrac {}{}{}{}{2}{x}+15 x} \, dx\) [379]
3.4.80 \(\int \genfrac {}{}{}{}{x}{13+\genfrac {}{}{}{}{2}{x}+15 x} \, dx\) [380]
3.4.81 \(\int \genfrac {}{}{}{}{1}{13+\genfrac {}{}{}{}{2}{x}+15 x} \, dx\) [381]
3.4.82 \(\int \genfrac {}{}{}{}{1}{x (13+\genfrac {}{}{}{}{2}{x}+15 x)} \, dx\) [382]
3.4.83 \(\int \genfrac {}{}{}{}{1}{x^2 (13+\genfrac {}{}{}{}{2}{x}+15 x)} \, dx\) [383]
3.4.84 \(\int \genfrac {}{}{}{}{1}{x^3 (13+\genfrac {}{}{}{}{2}{x}+15 x)} \, dx\) [384]
3.4.85 \(\int \genfrac {}{}{}{}{1}{x^4 (13+\genfrac {}{}{}{}{2}{x}+15 x)} \, dx\) [385]
3.4.86 \(\int \genfrac {}{}{}{}{1}{x^5 (13+\genfrac {}{}{}{}{2}{x}+15 x)} \, dx\) [386]
3.4.87 \(\int \genfrac {}{}{}{}{x^2}{2-(1+x^2)^4} \, dx\) [387]
3.4.88 \(\int \genfrac {}{}{}{}{x^2}{2-(1-x^2)^4} \, dx\) [388]
3.4.89 \(\int \genfrac {}{}{}{}{x^2}{2+(1+x^2)^4} \, dx\) [389]
3.4.90 \(\int \genfrac {}{}{}{}{x^2}{2+(1-x^2)^4} \, dx\) [390]
3.4.91 \(\int \genfrac {}{}{}{}{1-x^2}{a+b (1-x^2)^4} \, dx\) [391]
3.4.92 \(\int \genfrac {}{}{}{}{1-x^2}{a+b (-1+x^2)^4} \, dx\) [392]
3.4.93 \(\int \genfrac {}{}{}{}{(1+x^2)^2}{a x^6+b (1+x^2)^3} \, dx\) [393]
3.4.94 \(\int \genfrac {}{}{}{}{(d+e x)^3}{a+c x^4} \, dx\) [394]
3.4.95 \(\int \genfrac {}{}{}{}{(d+e x)^2}{a+c x^4} \, dx\) [395]
3.4.96 \(\int \genfrac {}{}{}{}{d+e x}{a+c x^4} \, dx\) [396]
3.4.97 \(\int \genfrac {}{}{}{}{1}{a+c x^4} \, dx\) [397]
3.4.98 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+c x^4)} \, dx\) [398]
3.4.99 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+c x^4)} \, dx\) [399]
3.4.100 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+c x^4)} \, dx\) [400]