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