3.1 Integrals 1 to 100

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