3.1.1 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{\sqrt {a+c x^4}} \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{\sqrt {a+c x^4}} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{\sqrt {a+c x^4}} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+c x^4}} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {a+c x^4}} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 \sqrt {a+c x^4}} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 \sqrt {a+c x^4}} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{(a+c x^4)^{3/2}} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{(a+c x^4)^{3/2}} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{(a+c x^4)^{3/2}} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{A+B x^2}{(a+c x^4)^{3/2}} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) (a+c x^4)^{3/2}} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 (a+c x^4)^{3/2}} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 (a+c x^4)^{3/2}} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^q}{a+c x^4} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{2+x^2}{(1+x^2) \sqrt {2+3 x^2+x^4}} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{\sqrt {a+b x^2+c x^4}} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 \sqrt {a+b x^2+c x^4}} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^3 \sqrt {a+b x^2+c x^4}} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^3}{(a+b x^2+c x^4)^{3/2}} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)}{(a+b x^2+c x^4)^{3/2}} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2+c x^4)^{3/2}} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2) (a+b x^2+c x^4)^{3/2}} \, dx\) [28]
3.1.29 \(\int \genfrac {}{}{}{}{A+B x^2}{(d+e x^2)^2 (a+b x^2+c x^4)^{3/2}} \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{\sqrt {a}+\sqrt {c} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{1+\sqrt {\genfrac {}{}{}{}{c}{a}} x^2}{(d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{946+315 x^2}{(7+5 x^2) \sqrt {2+3 x^2+x^4}} \, dx\) [32]
3.1.33 \(\int \genfrac {}{}{}{}{(A+B x^2) (d+e x^2)^q}{a+b x^2+c x^4} \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{x (1+2 x^2)}{\sqrt {1+x^2} (1+x^2+x^4)} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2+c x^4}}{a d-c d x^4} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{\sqrt {a+b x^2-c x^4}}{a d+c d x^4} \, dx\) [36]
3.1.37 \(\int x \sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [37]
3.1.38 \(\int \sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\) [38]
3.1.39 \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x} \, dx\) [39]
3.1.40 \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^2} \, dx\) [40]
3.1.41 \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^3} \, dx\) [41]
3.1.42 \(\int \genfrac {}{}{}{}{\sqrt {c+e x+d x^2} \sqrt {a^2+2 a b x^2+b^2 x^4}}{x^4} \, dx\) [42]