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