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