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