\(\int \genfrac {}{}{}{}{9+x+3 x^2+x^3}{(1+x^2) (3+x^2)} \, dx\) [1]
\(\int \genfrac {}{}{}{}{3+x+x^2+x^3}{(1+x^2) (3+x^2)} \, dx\) [2]
\(\int \genfrac {}{}{}{}{-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\) [3]
\(\int \sqrt {a+b x^2} (c+f x^2)^2 (A+B x^2+C x^4) \, dx\) [4]
\(\int \sqrt {a+b x^2} (A+B x^2+C x^4) \, dx\) [5]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{c+f x^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{(c+f x^2)^2} \, dx\) [7]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4)}{(c+f x^2)^3} \, dx\) [8]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt [4]{a+b x^2} (e+f x^2)} \, dx\) [9]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2} (A+B x^2+C x^4)}{\sqrt {a+b x^2}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} (A+B x^2+C x^4)}{\sqrt {a+b x^2}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c+d x^2)^{3/2}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c+d x^2)^{5/2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c+d x^2)^{7/2}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2} (A+B x^2+C x^4)}{(a+b x^2)^{3/2}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} (A+B x^2+C x^4)}{(a+b x^2)^{3/2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{3/2} (c+d x^2)^{3/2}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{(a+b x^2)^{3/2} (c+d x^2)^{5/2}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{a c+2 b c x^2+b d x^4}{\sqrt {a+b x^2} (c+d x^2)^{3/2}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{a c+2 b c x^2+b d x^4}{(a+b x^2)^{3/2} (c+d x^2)^{3/2}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{\sqrt {a+b x^2} (c-d x^2)^{3/2}} \, dx\) [23]
\(\int \sqrt {a+b x^2} (c+d x^2)^{3/2} (A+B x^2+C x^4+D x^6) \, dx\) [24]
\(\int \sqrt {a+b x^2} \sqrt {c+d x^2} (A+B x^2+C x^4+D x^6) \, dx\) [25]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4+D x^6)}{\sqrt {c+d x^2}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{3/2}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{5/2}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{7/2}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{9/2}} \, dx\) [30]
\(\int (a+b x^2)^{3/2} \sqrt {c+d x^2} (A+B x^2+C x^4+D x^6) \, dx\) [31]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{\sqrt {c+d x^2}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{3/2}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{5/2}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{7/2}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{(c+d x^2)^{9/2}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt {a+b x^2} \sqrt {c+d x^2}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt {a+b x^2} (c+d x^2)^{3/2}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt {a+b x^2} (c+d x^2)^{5/2}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt {a+b x^2} (c+d x^2)^{7/2}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [44]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{3/2} \sqrt {c+d x^2}} \, dx\) [45]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{3/2} (c+d x^2)^{3/2}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{3/2} (c+d x^2)^{5/2}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{(c+d x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{5/2}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x^2} (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{5/2}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{5/2} \sqrt {c+d x^2}} \, dx\) [50]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{5/2} (c+d x^2)^{3/2}} \, dx\) [51]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{5/2} (c+d x^2)^{5/2}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{(a+b x^2)^p (A+B x^2+C x^4)}{c+d x^2} \, dx\) [53]
\(\int (A+B x) (a+b x^2)^p (c+d x^2)^q \, dx\) [54]
\(\int (a+b x^2)^p (A+C x^2) (c+d x^2)^q \, dx\) [55]
\(\int (a+b x^2)^p (A+B x+C x^2) (c+d x^2)^q \, dx\) [56]
\(\int (a+b x^2)^p (c+d x^2)^q (a A c+A (b c (1+2 (1+p))+a d (1+2 (1+q))) x^2+A b d (1+2 (2+p+q)) x^4) \, dx\) [57]