\(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+c x^4)^2} \, dx\) [401]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+c x^4)^2} \, dx\) [402]
   \(\int \genfrac {}{}{}{}{d+e x}{(a+c x^4)^2} \, dx\) [403]
   \(\int \genfrac {}{}{}{}{1}{(a+c x^4)^2} \, dx\) [404]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+c x^4)^2} \, dx\) [405]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+c x^4)^2} \, dx\) [406]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+c x^4)^2} \, dx\) [407]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+c x^4)^3} \, dx\) [408]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+c x^4)^3} \, dx\) [409]
   \(\int \genfrac {}{}{}{}{d+e x}{(a+c x^4)^3} \, dx\) [410]
   \(\int \genfrac {}{}{}{}{1}{(a+c x^4)^3} \, dx\) [411]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+c x^4)^3} \, dx\) [412]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+c x^4)^3} \, dx\) [413]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+c x^4)^3} \, dx\) [414]
   \(\int \genfrac {}{}{}{}{-1+x}{1-x+x^2} \, dx\) [415]
   \(\int \genfrac {}{}{}{}{-1+x^2}{1+x^3} \, dx\) [416]
   \(\int \genfrac {}{}{}{}{-4+3 x}{4-2 x+x^2} \, dx\) [417]
   \(\int \genfrac {}{}{}{}{-8+2 x+3 x^2}{8+x^3} \, dx\) [418]
   \(\int \genfrac {}{}{}{}{2+x}{-1+2 x+x^2} \, dx\) [419]
   \(\int \genfrac {}{}{}{}{-4+x^2}{2-5 x+x^3} \, dx\) [420]
   \(\int \genfrac {}{}{}{}{2}{-1+4 x^2} \, dx\) [421]
   \(\int (\genfrac {}{}{}{}{1}{-1+2 x}-\genfrac {}{}{}{}{1}{1+2 x}) \, dx\) [422]
   \(\int \genfrac {}{}{}{}{x}{(1-x^2)^5} \, dx\) [423]
   \(\int (-\genfrac {}{}{}{}{1}{32 (-1+x)^5}+\genfrac {}{}{}{}{3}{64 (-1+x)^4}-\genfrac {}{}{}{}{5}{128 (-1+x)^3}+\genfrac {}{}{}{}{5}{256 (-1+x)^2}-\genfrac {}{}{}{}{1}{32 (1+x)^5}-\genfrac {}{}{}{}{3}{64 (1+x)^4}-\genfrac {}{}{}{}{5}{128 (1+x)^3}-\genfrac {}{}{}{}{5}{256 (1+x)^2}) \, dx\) [424]
   \(\int \genfrac {}{}{}{}{1+x^6}{-1+x^6} \, dx\) [425]
   \(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{1}{x^3}+x^3}{-\genfrac {}{}{}{}{1}{x^3}+x^3} \, dx\) [426]
   \(\int \genfrac {}{}{}{}{-x+x^3}{6+2 x} \, dx\) [427]
   \(\int \genfrac {}{}{}{}{x+x^3}{-1+x} \, dx\) [428]
   \(\int (a c+(b c+d) x) \, dx\) [429]
   \(\int (d x+c (a+b x)) \, dx\) [430]
   \(\int \genfrac {}{}{}{}{4+4 x}{x^2 (1+x^2)} \, dx\) [431]
   \(\int \genfrac {}{}{}{}{24+8 x}{x (-4+x^2)} \, dx\) [432]
   \(\int \genfrac {}{}{}{}{-1+x^2}{-2 x+x^3} \, dx\) [433]
   \(\int \genfrac {}{}{}{}{1+x^2}{3 x+x^3} \, dx\) [434]
   \(\int \genfrac {}{}{}{}{a+3 b x^2}{a x+b x^3} \, dx\) [435]
   \(\int \genfrac {}{}{}{}{-2+4 x}{-x+x^3} \, dx\) [436]
   \(\int \genfrac {}{}{}{}{4+x}{4 x+x^3} \, dx\) [437]
   \(\int \genfrac {}{}{}{}{-x+2 x^3}{1-x^2+x^4} \, dx\) [438]
   \(\int \genfrac {}{}{}{}{-3+x}{2 x+3 x^2+x^3} \, dx\) [439]
   \(\int \genfrac {}{}{}{}{2+4 x}{x^2+2 x^3+x^4} \, dx\) [440]
   \(\int \genfrac {}{}{}{}{1+x}{-6 x+x^2+x^3} \, dx\) [441]
   \(\int \genfrac {}{}{}{}{4 x^2+x^3}{x+x^3} \, dx\) [442]
   \(\int \genfrac {}{}{}{}{x+2 x^3}{(x^2+x^4)^3} \, dx\) [443]
   \(\int \genfrac {}{}{}{}{a x^2+b x^3}{c x^2+d x^3} \, dx\) [444]
   \(\int \genfrac {}{}{}{}{x+x^2}{-2 x-x^2+x^3} \, dx\) [445]
   \(\int \genfrac {}{}{}{}{1-5 x^2}{x^3 (1+x^2)} \, dx\) [446]
   \(\int \genfrac {}{}{}{}{2 x}{(-1+x) (5+x^2)} \, dx\) [447]
   \(\int \genfrac {}{}{}{}{2+x^2}{2+x} \, dx\) [448]
   \(\int \genfrac {}{}{}{}{1}{(-3+x) (4+x^2)} \, dx\) [449]
   \(\int \genfrac {}{}{}{}{-2+3 x^6}{x (5+2 x^6)} \, dx\) [450]
   \(\int \genfrac {}{}{}{}{3+2 x}{(-2+x) (5+x)} \, dx\) [451]
   \(\int \genfrac {}{}{}{}{x^4}{4+5 x^2+x^4} \, dx\) [452]
   \(\int \genfrac {}{}{}{}{1}{(1+x) (2+x)^2 (3+x)^3} \, dx\) [453]
   \(\int \genfrac {}{}{}{}{x}{-1+x^2} \, dx\) [454]
   \(\int \genfrac {}{}{}{}{1}{(-1+x^2)^2} \, dx\) [455]
   \(\int \genfrac {}{}{}{}{x^2}{(1+x^2)^2} \, dx\) [456]
   \(\int \genfrac {}{}{}{}{1}{2+3 x} \, dx\) [457]
   \(\int \genfrac {}{}{}{}{1}{a^2+x^2} \, dx\) [458]
   \(\int \genfrac {}{}{}{}{1}{a+b x^2} \, dx\) [459]
   \(\int \genfrac {}{}{}{}{1}{2-x+x^2} \, dx\) [460]
   \(\int x^2 (4-x^2)^2 \, dx\) [461]
   \(\int x (1-x^3)^2 \, dx\) [462]
   \(\int \genfrac {}{}{}{}{-4+5 x^2+x^3}{x^2} \, dx\) [463]
   \(\int \genfrac {}{}{}{}{-1+x}{3-4 x+3 x^2} \, dx\) [464]
   \(\int (2+x^3)^2 \, dx\) [465]
   \(\int \genfrac {}{}{}{}{-4+x^2}{2+x} \, dx\) [466]
   \(\int \genfrac {}{}{}{}{1}{(2+x) (1+x^2)} \, dx\) [467]
   \(\int \genfrac {}{}{}{}{1}{(1+x) (1+x^2)} \, dx\) [468]
   \(\int \genfrac {}{}{}{}{x}{(1+x) (1+x^2)} \, dx\) [469]
   \(\int \genfrac {}{}{}{}{2 x+x^2}{(1+x)^2} \, dx\) [470]
   \(\int \genfrac {}{}{}{}{-10+x^2}{4+9 x^2+2 x^4} \, dx\) [471]
   \(\int \genfrac {}{}{}{}{31+5 x}{11-4 x+3 x^2} \, dx\) [472]
   \(\int \genfrac {}{}{}{}{-2+x^2+x^3}{x^4} \, dx\) [473]
   \(\int \genfrac {}{}{}{}{1+x+x^3}{x^2} \, dx\) [474]
   \(\int \genfrac {}{}{}{}{-2+x^2}{x (2+x^2)} \, dx\) [475]
   \(\int (-3+x) (-7+4 x^2) \, dx\) [476]
   \(\int (-2+7 x)^3 \, dx\) [477]
   \(\int \genfrac {}{}{}{}{-7+4 x^2}{3+2 x} \, dx\) [478]
   \(\int \genfrac {}{}{}{}{1+x}{(-1+x) x^2} \, dx\) [479]
   \(\int \genfrac {}{}{}{}{1}{4 x^2+4 x^3+x^4} \, dx\) [480]
   \(\int \genfrac {}{}{}{}{1+x^2}{1+x} \, dx\) [481]
   \(\int \genfrac {}{}{}{}{-1+3 x-3 x^2+x^3}{x^2} \, dx\) [482]
   \(\int (\genfrac {}{}{}{}{1}{2} (3-\sqrt {37})+x) (\genfrac {}{}{}{}{1}{2} (3+\sqrt {37})+x) \, dx\) [483]
   \(\int \genfrac {}{}{}{}{4+3 x^2+2 x^3}{(1+x)^4} \, dx\) [484]
   \(\int \genfrac {}{}{}{}{x}{(1+x)^2 (1+x^2)} \, dx\) [485]
   \(\int \genfrac {}{}{}{}{7-2 x+3 x^2-x^3+x^4}{2+x} \, dx\) [486]
   \(\int \genfrac {}{}{}{}{-1+x^3}{-1+x} \, dx\) [487]
   \(\int \genfrac {}{}{}{}{2+2 x}{(-1+x)^3 (1+x^2)} \, dx\) [488]
   \(\int \genfrac {}{}{}{}{1}{b x+c (d+e x)^2} \, dx\) [489]
   \(\int \genfrac {}{}{}{}{1}{a+b x+c (d+e x)^2} \, dx\) [490]
   \(\int \genfrac {}{}{}{}{x^2}{1+(-1+x^2)^2} \, dx\) [491]
   \(\int -\genfrac {}{}{}{}{15-36 x+5 x^2+12 x^3-34 x^4+140 x^5+15 x^6+8 x^7-30 x^9}{(3+x+x^4)^4} \, dx\) [492]
   \(\int (\genfrac {}{}{}{}{3 (-47+228 x+120 x^2+19 x^3)}{(3+x+x^4)^4}+\genfrac {}{}{}{}{42-320 x-75 x^2-8 x^3}{(3+x+x^4)^3}+\genfrac {}{}{}{}{30 x}{(3+x+x^4)^2}) \, dx\) [493]
   \(\int (\genfrac {}{}{}{}{-3+10 x+4 x^3-30 x^5}{(3+x+x^4)^3}-\genfrac {}{}{}{}{3 (1+4 x^3) (2-3 x+5 x^2+x^4-5 x^6)}{(3+x+x^4)^4}) \, dx\) [494]