3.1.1 \(\int \genfrac {}{}{}{}{a+b x+\genfrac {}{}{}{}{b f x^2}{e}}{\sqrt {d+e x+f x^2}} \, dx\) [1]
  3.1.2 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x+f x^2} (a+b x+\genfrac {}{}{}{}{b f x^2}{e})} \, dx\) [2]
  3.1.3 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)} \, dx\) [3]
  3.1.4 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)^2} \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)^3} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} (d+b x+c x^2)^4} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x+f x^2} (a e+b e x+b f x^2)^2} \, dx\) [7]
  3.1.8 \(\int \genfrac {}{}{}{}{1}{(4+2 x+x^2) \sqrt {5+2 x+x^2}} \, dx\) [8]
  3.1.9 \(\int (a+\genfrac {}{}{}{}{e x}{2}+c x^2)^p (2 a+e x+2 c x^2)^q \, dx\) [9]
  3.1.10 \(\int (a+\genfrac {}{}{}{}{c e x}{f}+c x^2)^p (\genfrac {}{}{}{}{a f}{c}+e x+f x^2)^q \, dx\) [10]
  3.1.11 \(\int \genfrac {}{}{}{}{\sqrt {1+2 x+x^2}}{\sqrt {1+x^2}} \, dx\) [11]
  3.1.12 \(\int \genfrac {}{}{}{}{1}{(-1+x^2)^2 \sqrt {-1+x+x^2}} \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2} \sqrt {d+f x^2}} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{\sqrt {-3-4 x-x^2}}{3+4 x+2 x^2} \, dx\) [14]
  3.1.15 \(\int (3-x+2 x^2) (2+3 x+5 x^2)^4 \, dx\) [15]
  3.1.16 \(\int (3-x+2 x^2) (2+3 x+5 x^2)^3 \, dx\) [16]
  3.1.17 \(\int (3-x+2 x^2) (2+3 x+5 x^2)^2 \, dx\) [17]
  3.1.18 \(\int (3-x+2 x^2) (2+3 x+5 x^2) \, dx\) [18]
  3.1.19 \(\int \genfrac {}{}{}{}{3-x+2 x^2}{2+3 x+5 x^2} \, dx\) [19]
  3.1.20 \(\int \genfrac {}{}{}{}{3-x+2 x^2}{(2+3 x+5 x^2)^2} \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{3-x+2 x^2}{(2+3 x+5 x^2)^3} \, dx\) [21]
  3.1.22 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2)^4 \, dx\) [22]
  3.1.23 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2)^3 \, dx\) [23]
  3.1.24 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2)^2 \, dx\) [24]
  3.1.25 \(\int (3-x+2 x^2)^2 (2+3 x+5 x^2) \, dx\) [25]
  3.1.26 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^2}{2+3 x+5 x^2} \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^2}{(2+3 x+5 x^2)^2} \, dx\) [27]
  3.1.28 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^2}{(2+3 x+5 x^2)^3} \, dx\) [28]
  3.1.29 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^2}{(2+3 x+5 x^2)^4} \, dx\) [29]
  3.1.30 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2)^4 \, dx\) [30]
  3.1.31 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2)^3 \, dx\) [31]
  3.1.32 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2)^2 \, dx\) [32]
  3.1.33 \(\int (3-x+2 x^2)^3 (2+3 x+5 x^2) \, dx\) [33]
  3.1.34 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^3}{2+3 x+5 x^2} \, dx\) [34]
  3.1.35 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^3}{(2+3 x+5 x^2)^2} \, dx\) [35]
  3.1.36 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^3}{(2+3 x+5 x^2)^3} \, dx\) [36]
  3.1.37 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{3-x+2 x^2} \, dx\) [37]
  3.1.38 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{3-x+2 x^2} \, dx\) [38]
  3.1.39 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{3-x+2 x^2} \, dx\) [39]
  3.1.40 \(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{3-x+2 x^2} \, dx\) [40]
  3.1.41 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2) (2+3 x+5 x^2)} \, dx\) [41]
  3.1.42 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2) (2+3 x+5 x^2)^2} \, dx\) [42]
  3.1.43 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2) (2+3 x+5 x^2)^3} \, dx\) [43]
  3.1.44 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{(3-x+2 x^2)^2} \, dx\) [44]
  3.1.45 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{(3-x+2 x^2)^2} \, dx\) [45]
  3.1.46 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{(3-x+2 x^2)^2} \, dx\) [46]
  3.1.47 \(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{(3-x+2 x^2)^2} \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^2 (2+3 x+5 x^2)} \, dx\) [48]
  3.1.49 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^2 (2+3 x+5 x^2)^2} \, dx\) [49]
  3.1.50 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^2 (2+3 x+5 x^2)^3} \, dx\) [50]
  3.1.51 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{(3-x+2 x^2)^3} \, dx\) [51]
  3.1.52 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{(3-x+2 x^2)^3} \, dx\) [52]
  3.1.53 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{(3-x+2 x^2)^3} \, dx\) [53]
  3.1.54 \(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{(3-x+2 x^2)^3} \, dx\) [54]
  3.1.55 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^3 (2+3 x+5 x^2)} \, dx\) [55]
  3.1.56 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^3 (2+3 x+5 x^2)^2} \, dx\) [56]
  3.1.57 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^3 (2+3 x+5 x^2)^3} \, dx\) [57]
  3.1.58 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2)^4 \, dx\) [58]
  3.1.59 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2)^3 \, dx\) [59]
  3.1.60 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2)^2 \, dx\) [60]
  3.1.61 \(\int \sqrt {3-x+2 x^2} (2+3 x+5 x^2) \, dx\) [61]
  3.1.62 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2}}{2+3 x+5 x^2} \, dx\) [62]
  3.1.63 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2}}{(2+3 x+5 x^2)^2} \, dx\) [63]
  3.1.64 \(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2}}{(2+3 x+5 x^2)^3} \, dx\) [64]
  3.1.65 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^4 \, dx\) [65]
  3.1.66 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^3 \, dx\) [66]
  3.1.67 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^2 \, dx\) [67]
  3.1.68 \(\int (3-x+2 x^2)^{3/2} (2+3 x+5 x^2) \, dx\) [68]
  3.1.69 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2}}{2+3 x+5 x^2} \, dx\) [69]
  3.1.70 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\) [70]
  3.1.71 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\) [71]
  3.1.72 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^4 \, dx\) [72]
  3.1.73 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^3 \, dx\) [73]
  3.1.74 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^2 \, dx\) [74]
  3.1.75 \(\int (3-x+2 x^2)^{5/2} (2+3 x+5 x^2) \, dx\) [75]
  3.1.76 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{5/2}}{2+3 x+5 x^2} \, dx\) [76]
  3.1.77 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\) [77]
  3.1.78 \(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\) [78]
  3.1.79 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{\sqrt {3-x+2 x^2}} \, dx\) [79]
  3.1.80 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{\sqrt {3-x+2 x^2}} \, dx\) [80]
  3.1.81 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{\sqrt {3-x+2 x^2}} \, dx\) [81]
  3.1.82 \(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{\sqrt {3-x+2 x^2}} \, dx\) [82]
  3.1.83 \(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)} \, dx\) [83]
  3.1.84 \(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)^2} \, dx\) [84]
  3.1.85 \(\int \genfrac {}{}{}{}{1}{\sqrt {3-x+2 x^2} (2+3 x+5 x^2)^3} \, dx\) [85]
  3.1.86 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{(3-x+2 x^2)^{3/2}} \, dx\) [86]
  3.1.87 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{(3-x+2 x^2)^{3/2}} \, dx\) [87]
  3.1.88 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{(3-x+2 x^2)^{3/2}} \, dx\) [88]
  3.1.89 \(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{(3-x+2 x^2)^{3/2}} \, dx\) [89]
  3.1.90 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)} \, dx\) [90]
  3.1.91 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^2} \, dx\) [91]
  3.1.92 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{3/2} (2+3 x+5 x^2)^3} \, dx\) [92]
  3.1.93 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^4}{(3-x+2 x^2)^{5/2}} \, dx\) [93]
  3.1.94 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^3}{(3-x+2 x^2)^{5/2}} \, dx\) [94]
  3.1.95 \(\int \genfrac {}{}{}{}{(2+3 x+5 x^2)^2}{(3-x+2 x^2)^{5/2}} \, dx\) [95]
  3.1.96 \(\int \genfrac {}{}{}{}{2+3 x+5 x^2}{(3-x+2 x^2)^{5/2}} \, dx\) [96]
  3.1.97 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)} \, dx\) [97]
  3.1.98 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^2} \, dx\) [98]
  3.1.99 \(\int \genfrac {}{}{}{}{1}{(3-x+2 x^2)^{5/2} (2+3 x+5 x^2)^3} \, dx\) [99]
  3.1.100 \(\int \sqrt {a+b x+c x^2} (d+e x+f x^2)^2 \, dx\) [100]