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