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