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