\(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(1-\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [101]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(1-\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [102]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(1-\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [103]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(1-\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{(1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a+b x^3}} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a-b x^3}} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a+b x^3}} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a-b x^3}} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [113]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [115]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [116]
   \(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{(1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x}{((1+\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [120]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a+b x^3}} \, dx\) [121]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {a-b x^3}} \, dx\) [122]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}-\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a+b x^3}} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x}{(1+\sqrt {3}+\sqrt [3]{\genfrac {}{}{}{}{b}{a}} x) \sqrt {-a-b x^3}} \, dx\) [124]
   \(\int \genfrac {}{}{}{}{1+x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{1+x}{(1-\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [129]
   \(\int \genfrac {}{}{}{}{e+f x}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [130]
   \(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [131]
   \(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{e+f x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}-x) \sqrt {1-x^3}} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}-x) \sqrt {-1+x^3}} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{x}{(1+\sqrt {3}+x) \sqrt {-1-x^3}} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{x}{(1-\sqrt {3}+x) \sqrt {1+x^3}} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {a+b x^3}} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {a-b x^3}} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}-\sqrt [3]{b} x) \sqrt {-a+b x^3}} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{x}{((1-\sqrt {3}) \sqrt [3]{a}+\sqrt [3]{b} x) \sqrt {-a-b x^3}} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(c+d x) \sqrt {1+x^3}} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(c+d x) \sqrt {1-x^3}} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{(c+d x) \sqrt {-1+x^3}} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{(c+d x) \sqrt {-1-x^3}} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(c+d x) \sqrt {1+x^3}} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(c+d x) \sqrt {1-x^3}} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{(c+d x) \sqrt {-1+x^3}} \, dx\) [150]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{(c+d x) \sqrt {-1-x^3}} \, dx\) [151]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{x \sqrt {1+x^3}} \, dx\) [152]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{x \sqrt {1-x^3}} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}-x}{x \sqrt {-1+x^3}} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{1+\sqrt {3}+x}{x \sqrt {-1-x^3}} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{x \sqrt {1+x^3}} \, dx\) [156]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{x \sqrt {1-x^3}} \, dx\) [157]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}-x}{x \sqrt {-1+x^3}} \, dx\) [158]
   \(\int \genfrac {}{}{}{}{1-\sqrt {3}+x}{x \sqrt {-1-x^3}} \, dx\) [159]
   \(\int \genfrac {}{}{}{}{x}{(3+x) \sqrt {1+x^3}} \, dx\) [160]
   \(\int \genfrac {}{}{}{}{x}{(3+x) \sqrt {1-x^3}} \, dx\) [161]
   \(\int \genfrac {}{}{}{}{x}{(3+x) \sqrt {-1+x^3}} \, dx\) [162]
   \(\int \genfrac {}{}{}{}{x}{(3+x) \sqrt {-1-x^3}} \, dx\) [163]
   \(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {1+x^3}} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {1-x^3}} \, dx\) [165]
   \(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {-1+x^3}} \, dx\) [166]
   \(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt {-1-x^3}} \, dx\) [167]
   \(\int \genfrac {}{}{}{}{e+f x}{x \sqrt {1+x^3}} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{e+f x}{x \sqrt {1-x^3}} \, dx\) [169]
   \(\int \genfrac {}{}{}{}{e+f x}{x \sqrt {-1+x^3}} \, dx\) [170]
   \(\int \genfrac {}{}{}{}{e+f x}{x \sqrt {-1-x^3}} \, dx\) [171]
   \(\int \genfrac {}{}{}{}{c-d x}{(c+d x) \sqrt [3]{2 c^3+d^3 x^3}} \, dx\) [172]
   \(\int \genfrac {}{}{}{}{e+f x}{(c+d x) \sqrt [3]{-c^3+d^3 x^3}} \, dx\) [173]
   \(\int x^2 (a+b x)^n (c+d x^3) \, dx\) [174]
   \(\int x (a+b x)^n (c+d x^3) \, dx\) [175]
   \(\int (a+b x)^n (c+d x^3) \, dx\) [176]
   \(\int \genfrac {}{}{}{}{(a+b x)^n (c+d x^3)}{x} \, dx\) [177]
   \(\int x^2 (a+b x)^n (c+d x^3)^2 \, dx\) [178]
   \(\int x (a+b x)^n (c+d x^3)^2 \, dx\) [179]
   \(\int (a+b x)^n (c+d x^3)^2 \, dx\) [180]
   \(\int \genfrac {}{}{}{}{(a+b x)^n (c+d x^3)^2}{x} \, dx\) [181]
   \(\int x^2 (a+b x)^n (c+d x^3)^3 \, dx\) [182]
   \(\int x (a+b x)^n (c+d x^3)^3 \, dx\) [183]
   \(\int (a+b x)^n (c+d x^3)^3 \, dx\) [184]
   \(\int \genfrac {}{}{}{}{(a+b x)^n (c+d x^3)^3}{x} \, dx\) [185]
   \(\int \genfrac {}{}{}{}{x^5 (e+f x)^n}{a+b x^3} \, dx\) [186]
   \(\int \genfrac {}{}{}{}{x^4 (e+f x)^n}{a+b x^3} \, dx\) [187]
   \(\int \genfrac {}{}{}{}{x^3 (e+f x)^n}{a+b x^3} \, dx\) [188]
   \(\int \genfrac {}{}{}{}{x^2 (e+f x)^n}{a+b x^3} \, dx\) [189]
   \(\int \genfrac {}{}{}{}{x (e+f x)^n}{a+b x^3} \, dx\) [190]
   \(\int \genfrac {}{}{}{}{(e+f x)^n}{a+b x^3} \, dx\) [191]
   \(\int \genfrac {}{}{}{}{(e+f x)^n}{x (a+b x^3)} \, dx\) [192]
   \(\int \genfrac {}{}{}{}{(e+f x)^n}{x^2 (a+b x^3)} \, dx\) [193]
   \(\int \genfrac {}{}{}{}{x^2 (c+d x)^{1+n}}{a+b x^3} \, dx\) [194]
   \(\int \genfrac {}{}{}{}{x^m (e+f x)^n}{a+b x^3} \, dx\) [195]
   \(\int \genfrac {}{}{}{}{\sqrt {c+d x^3}}{a+b x} \, dx\) [196]
   \(\int \genfrac {}{}{}{}{(d^3+e^3 x^3)^p}{d+e x} \, dx\) [197]
   \(\int \genfrac {}{}{}{}{2-2 x-x^2}{(2+x^2) \sqrt {1+x^3}} \, dx\) [198]
   \(\int \genfrac {}{}{}{}{2+2 x-x^2}{(2+x^2) \sqrt {1-x^3}} \, dx\) [199]
   \(\int \genfrac {}{}{}{}{2+2 x-x^2}{(2+x^2) \sqrt {-1+x^3}} \, dx\) [200]