\(\int \genfrac {}{}{}{}{x^{2016} (2017+2018 x)}{1+(x^{2017}+x^{2018})^2} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x^{2016} (2017+2018 x)}{1+x^{4034} (1+x)^2} \, dx\) [2]
\(\int \genfrac {}{}{}{}{x^{2016} (2017+2018 x)}{1+x^{4034}+2 x^{4035}+x^{4036}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{-4+5 x^2+x^3}{x^2} \, dx\) [4]
\(\int \genfrac {}{}{}{}{-2+x^2+x^3}{x^4} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1+x+x^3}{x^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{-1+3 x-3 x^2+x^3}{x^2} \, dx\) [7]
\(\int \genfrac {}{}{}{}{x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [8]
\(\int \genfrac {}{}{}{}{x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [9]
\(\int \genfrac {}{}{}{}{x^2}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [10]
\(\int \genfrac {}{}{}{}{x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [11]
\(\int \genfrac {}{}{}{}{1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [12]
\(\int \genfrac {}{}{}{}{1}{x (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\) [13]
\(\int \genfrac {}{}{}{}{1}{x^2 (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\) [14]
\(\int \genfrac {}{}{}{}{x^5}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [15]
\(\int \genfrac {}{}{}{}{x^4}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [16]
\(\int \genfrac {}{}{}{}{x^3}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [17]
\(\int \genfrac {}{}{}{}{x^2}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [18]
\(\int \genfrac {}{}{}{}{x}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [19]
\(\int \genfrac {}{}{}{}{1}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [20]
\(\int \genfrac {}{}{}{}{1}{x (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{x^2 (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\) [22]
\(\int \genfrac {}{}{}{}{x^8}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{x^7}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{x^6}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{x^5}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{x^4}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [27]
\(\int \genfrac {}{}{}{}{x^3}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [28]
\(\int \genfrac {}{}{}{}{x^2}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [29]
\(\int \genfrac {}{}{}{}{-x+x^3}{6+2 x} \, dx\) [30]
\(\int \genfrac {}{}{}{}{x+x^3}{-1+x} \, dx\) [31]
\(\int \genfrac {}{}{}{}{-1+x^3}{-1+x} \, dx\) [32]
\(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{c+d x} \, dx\) [33]
\(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(c+d x)^2} \, dx\) [34]
\(\int \genfrac {}{}{}{}{-1+x^3}{1+x+x^2} \, dx\) [35]
\(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{a+b x^2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^2} \, dx\) [37]
\(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^3} \, dx\) [38]
\(\int \genfrac {}{}{}{}{1-x}{1+x^3} \, dx\) [39]
\(\int \genfrac {}{}{}{}{1+x+4 x^2}{x+4 x^3} \, dx\) [40]
\(\int \genfrac {}{}{}{}{1-x+3 x^2}{-x^2+x^3} \, dx\) [41]
\(\int \genfrac {}{}{}{}{4+3 x+x^2}{x+x^2} \, dx\) [42]
\(\int \genfrac {}{}{}{}{4+x+3 x^2}{x+x^3} \, dx\) [43]
\(\int \genfrac {}{}{}{}{1+x^3}{-x+x^3} \, dx\) [44]
\(\int \genfrac {}{}{}{}{1+x^3}{-x^2+x^3} \, dx\) [45]
\(\int \genfrac {}{}{}{}{-1+x^5}{-x+x^3} \, dx\) [46]
\(\int \genfrac {}{}{}{}{1+x^4}{x^3+x^5} \, dx\) [47]
\(\int \genfrac {}{}{}{}{-1+x^2}{-2 x+x^3} \, dx\) [48]
\(\int \genfrac {}{}{}{}{1+x^2}{3 x+x^3} \, dx\) [49]
\(\int \genfrac {}{}{}{}{a+3 b x^2}{a x+b x^3} \, dx\) [50]
\(\int \genfrac {}{}{}{}{-2+4 x}{-x+x^3} \, dx\) [51]
\(\int \genfrac {}{}{}{}{4+x}{4 x+x^3} \, dx\) [52]
\(\int \genfrac {}{}{}{}{4 x^2+x^3}{x+x^3} \, dx\) [53]
\(\int \genfrac {}{}{}{}{a x^2+b x^3}{c x^2+d x^3} \, dx\) [54]
\(\int \genfrac {}{}{}{}{x+x^2}{-2 x-x^2+x^3} \, dx\) [55]
\(\int \genfrac {}{}{}{}{1+x^2}{x+2 x^2+x^3} \, dx\) [56]
\(\int \genfrac {}{}{}{}{1+x^5}{-10 x-3 x^2+x^3} \, dx\) [57]
\(\int \genfrac {}{}{}{}{-x+2 x^3}{1-x^2+x^4} \, dx\) [58]
\(\int \genfrac {}{}{}{}{x+2 x^3}{(x^2+x^4)^3} \, dx\) [59]
\(\int \genfrac {}{}{}{}{-x+2 x^3+4 x^5}{(3+2 x^2+x^4)^2} \, dx\) [60]
\(\int \genfrac {}{}{}{}{x+x^5}{(1+2 x^2+2 x^4)^3} \, dx\) [61]
\(\int \genfrac {}{}{}{}{-84-576 x-400 x^2+2560 x^3}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\) [62]
\(\int -\genfrac {}{}{}{}{15-36 x+5 x^2+12 x^3-34 x^4+140 x^5+15 x^6+8 x^7-30 x^9}{(3+x+x^4)^4} \, dx\) [63]
\(\int (\genfrac {}{}{}{}{3 (-47+228 x+120 x^2+19 x^3)}{(3+x+x^4)^4}+\genfrac {}{}{}{}{42-320 x-75 x^2-8 x^3}{(3+x+x^4)^3}+\genfrac {}{}{}{}{30 x}{(3+x+x^4)^2}) \, dx\) [64]
\(\int (\genfrac {}{}{}{}{-3+10 x+4 x^3-30 x^5}{(3+x+x^4)^3}-\genfrac {}{}{}{}{3 (1+4 x^3) (2-3 x+5 x^2+x^4-5 x^6)}{(3+x+x^4)^4}) \, dx\) [65]
\(\int \genfrac {}{}{}{}{-1+4 x^5}{(1+x+x^5)^2} \, dx\) [66]
\(\int \genfrac {}{}{}{}{1+x^3+x^6}{x+x^5} \, dx\) [67]
\(\int \genfrac {}{}{}{}{1}{(-1+7 x^2-7 x^4+x^6)^2} \, dx\) [68]
\(\int \genfrac {}{}{}{}{1+x^2}{(1-7 x^2+7 x^4-x^6)^2} \, dx\) [69]
\(\int \genfrac {}{}{}{}{(3-2 \sqrt {2}+x^2)^2 (-3+2 \sqrt {2}+x^2)}{577-408 \sqrt {2}-8 (-41+29 \sqrt {2}) x^2-2 (-39+28 \sqrt {2}) x^4-8 (-1+\sqrt {2}) x^6+x^8} \, dx\) [70]
\(\int (a+b x) (1+(a x+\genfrac {}{}{}{}{b x^2}{2})^4) \, dx\) [71]
\(\int (a+b x) (1+(c+a x+\genfrac {}{}{}{}{b x^2}{2})^4) \, dx\) [72]
\(\int (a+b x) (1+(a x+\genfrac {}{}{}{}{b x^2}{2})^n) \, dx\) [73]
\(\int (a+b x) (1+(c+a x+\genfrac {}{}{}{}{b x^2}{2})^n) \, dx\) [74]
\(\int (a+c x^2) (1+(a x+\genfrac {}{}{}{}{c x^3}{3})^5) \, dx\) [75]
\(\int (a+c x^2) (1+(d+a x+\genfrac {}{}{}{}{c x^3}{3})^5) \, dx\) [76]
\(\int (b x+c x^2) (1+(\genfrac {}{}{}{}{b x^2}{2}+\genfrac {}{}{}{}{c x^3}{3})^5) \, dx\) [77]
\(\int (b x+c x^2) (1+(d+\genfrac {}{}{}{}{b x^2}{2}+\genfrac {}{}{}{}{c x^3}{3})^5) \, dx\) [78]
\(\int (a+b x+c x^2) (1+(a x+\genfrac {}{}{}{}{b x^2}{2}+\genfrac {}{}{}{}{c x^3}{3})^5) \, dx\) [79]
\(\int (a+b x+c x^2) (1+(d+a x+\genfrac {}{}{}{}{b x^2}{2}+\genfrac {}{}{}{}{c x^3}{3})^5) \, dx\) [80]
\(\int (a+c x^2) (1+(a x+\genfrac {}{}{}{}{c x^3}{3})^n) \, dx\) [81]
\(\int (b x+c x^2) (1+(\genfrac {}{}{}{}{b x^2}{2}+\genfrac {}{}{}{}{c x^3}{3})^n) \, dx\) [82]
\(\int (a+b x+c x^2) (1+(a x+\genfrac {}{}{}{}{b x^2}{2}+\genfrac {}{}{}{}{c x^3}{3})^n) \, dx\) [83]
\(\int (-4+4 x+x^2) (5-12 x+6 x^2+x^3) \, dx\) [84]
\(\int (2 x+x^3) (1+4 x^2+x^4) \, dx\) [85]
\(\int (1+2 x) (x+x^2)^3 (-18+7 (x+x^2)^3)^2 \, dx\) [86]
\(\int x^3 (1+x)^3 (1+2 x) (-18+7 x^3 (1+x)^3)^2 \, dx\) [87]
\(\int \genfrac {}{}{}{}{2-x^2}{(1-6 x+x^3)^5} \, dx\) [88]
\(\int \genfrac {}{}{}{}{2 x+x^2}{4+3 x^2+x^3} \, dx\) [89]
\(\int \genfrac {}{}{}{}{1+x+x^3}{4 x+2 x^2+x^4} \, dx\) [90]
\(\int \genfrac {}{}{}{}{-1+x}{1-x+x^2} \, dx\) [91]
\(\int \genfrac {}{}{}{}{-1+x^2}{1+x^3} \, dx\) [92]
\(\int \genfrac {}{}{}{}{-4+3 x}{4-2 x+x^2} \, dx\) [93]
\(\int \genfrac {}{}{}{}{-8+2 x+3 x^2}{8+x^3} \, dx\) [94]
\(\int \genfrac {}{}{}{}{2+x}{-1+2 x+x^2} \, dx\) [95]
\(\int \genfrac {}{}{}{}{-4+x^2}{2-5 x+x^3} \, dx\) [96]
\(\int \genfrac {}{}{}{}{-3+2 \sqrt {2}+x^2}{17-12 \sqrt {2}+(2-4 \sqrt {2}) x^2+x^4} \, dx\) [97]
\(\int \genfrac {}{}{}{}{(-3+2 \sqrt {2})^2-x^4}{-99+70 \sqrt {2}+(-39+28 \sqrt {2}) x^2+(-5+6 \sqrt {2}) x^4-x^6} \, dx\) [98]
\(\int \genfrac {}{}{}{}{(-3+2 \sqrt {2}-x^2) (-3+2 \sqrt {2}+x^2)}{-99+70 \sqrt {2}+(-39+28 \sqrt {2}) x^2+(-5+6 \sqrt {2}) x^4-x^6} \, dx\) [99]
\(\int \genfrac {}{}{}{}{(-3+2 \sqrt {2})^3-(-3+2 \sqrt {2})^2 x^2-(-3+2 \sqrt {2}) x^4+x^6}{577-408 \sqrt {2}+(328-232 \sqrt {2}) x^2+(78-56 \sqrt {2}) x^4+(8-8 \sqrt {2}) x^6+x^8} \, dx\) [100]