3.1 Integrals 1 to 42

   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{\sqrt {a+c x^4}} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{\sqrt {a+c x^4}} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{\sqrt {a+c x^4}} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+c x^4}} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {a+c x^4}} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 \sqrt {a+c x^4}} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 \sqrt {a+c x^4}} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{(a+c x^4)^{3/2}} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{(a+c x^4)^{3/2}} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{(a+c x^4)^{3/2}} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(a+c x^4)^{3/2}} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) (a+c x^4)^{3/2}} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 (a+c x^4)^{3/2}} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 (a+c x^4)^{3/2}} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^q}{a+c x^4} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{2+x^2}{(1+x^2) \sqrt {2+3 x^2+x^4}} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{\sqrt {a+b x^2+c x^4}} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 \sqrt {a+b x^2+c x^4}} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 \sqrt {a+b x^2+c x^4}} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{(a+b x^2+c x^4)^{3/2}} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [25]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\) [26]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [27]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) (a+b x^2+c x^4)^{3/2}} \, dx\) [28]
   \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 (a+b x^2+c x^4)^{3/2}} \, dx\) [29]
   \(\int \genfrac {}{}{}{}{\sqrt {a}+\sqrt {c} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [30]
   \(\int \genfrac {}{}{}{}{1+\sqrt {\genfrac {}{}{}{}{c}{a}} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{946+315 x^2}{(7+5 x^2) \sqrt {2+3 x^2+x^4}} \, dx\) [32]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^q}{a+b x^2+c x^4} \, dx\) [33]
   \(\int \genfrac {}{}{}{}{x (1+2 x^2)}{\sqrt {1+x^2} (1+x^2+x^4)} \, dx\) [34]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2+c x^4}}{a d-c d x^4} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2-c x^4}}{a d+c d x^4} \, dx\) [36]
   \(\int x \sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [37]
   \(\int \sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [38]
   \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^2} \, dx\) [40]
   \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx\) [41]
   \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^4} \, dx\) [42]