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