3.3.1 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [201]
3.3.2 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [202]
3.3.3 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [203]
3.3.4 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [204]
3.3.5 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} (b x^2+c x^4)^2} \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{3/2} (b x^2+c x^4)^2} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{x^{23/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [207]
3.3.8 \(\int \genfrac {}{}{}{}{x^{21/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [208]
3.3.9 \(\int \genfrac {}{}{}{}{x^{19/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [209]
3.3.10 \(\int \genfrac {}{}{}{}{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [210]
3.3.11 \(\int \genfrac {}{}{}{}{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [211]
3.3.12 \(\int \genfrac {}{}{}{}{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [212]
3.3.13 \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [213]
3.3.14 \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [214]
3.3.15 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [215]
3.3.16 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [217]
3.3.18 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [218]
3.3.19 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} (b x^2+c x^4)^3} \, dx\) [219]
3.3.20 \(\int x^{5/2} (A+B x^2) \sqrt {b x^2+c x^4} \, dx\) [220]
3.3.21 \(\int x^{3/2} (A+B x^2) \sqrt {b x^2+c x^4} \, dx\) [221]
3.3.22 \(\int \sqrt {x} (A+B x^2) \sqrt {b x^2+c x^4} \, dx\) [222]
3.3.23 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{\sqrt {x}} \, dx\) [223]
3.3.24 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{3/2}} \, dx\) [224]
3.3.25 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{5/2}} \, dx\) [225]
3.3.26 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{7/2}} \, dx\) [226]
3.3.27 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{9/2}} \, dx\) [227]
3.3.28 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{11/2}} \, dx\) [228]
3.3.29 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{13/2}} \, dx\) [229]
3.3.30 \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{15/2}} \, dx\) [230]
3.3.31 \(\int x^{7/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [231]
3.3.32 \(\int x^{5/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [232]
3.3.33 \(\int x^{3/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [233]
3.3.34 \(\int \sqrt {x} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [234]
3.3.35 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{\sqrt {x}} \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{3/2}} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{5/2}} \, dx\) [237]
3.3.38 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{7/2}} \, dx\) [238]
3.3.39 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{9/2}} \, dx\) [239]
3.3.40 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{11/2}} \, dx\) [240]
3.3.41 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{13/2}} \, dx\) [241]
3.3.42 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{15/2}} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{17/2}} \, dx\) [243]
3.3.44 \(\int \genfrac {}{}{}{}{x^{13/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [244]
3.3.45 \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [245]
3.3.46 \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [246]
3.3.47 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [247]
3.3.48 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [248]
3.3.49 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [249]
3.3.50 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [250]
3.3.51 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} \sqrt {b x^2+c x^4}} \, dx\) [251]
3.3.52 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{3/2} \sqrt {b x^2+c x^4}} \, dx\) [252]
3.3.53 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{5/2} \sqrt {b x^2+c x^4}} \, dx\) [253]
3.3.54 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{7/2} \sqrt {b x^2+c x^4}} \, dx\) [254]
3.3.55 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{9/2} \sqrt {b x^2+c x^4}} \, dx\) [255]
3.3.56 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{11/2} \sqrt {b x^2+c x^4}} \, dx\) [256]
3.3.57 \(\int \genfrac {}{}{}{}{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [257]
3.3.58 \(\int \genfrac {}{}{}{}{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [258]
3.3.59 \(\int \genfrac {}{}{}{}{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [259]
3.3.60 \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [260]
3.3.61 \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [261]
3.3.62 \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [262]
3.3.63 \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [263]
3.3.64 \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [264]
3.3.65 \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [265]
3.3.66 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} (b x^2+c x^4)^{3/2}} \, dx\) [266]
3.3.67 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{3/2} (b x^2+c x^4)^{3/2}} \, dx\) [267]
3.3.68 \(\int \genfrac {}{}{}{}{A+B x^2}{x^{5/2} (b x^2+c x^4)^{3/2}} \, dx\) [268]
3.3.69 \(\int x^m (A+B x^2) (b x^2+c x^4)^3 \, dx\) [269]
3.3.70 \(\int x^m (A+B x^2) (b x^2+c x^4)^2 \, dx\) [270]
3.3.71 \(\int x^m (A+B x^2) (b x^2+c x^4) \, dx\) [271]
3.3.72 \(\int \genfrac {}{}{}{}{x^m (A+B x^2)}{b x^2+c x^4} \, dx\) [272]
3.3.73 \(\int \genfrac {}{}{}{}{x^m (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [273]
3.3.74 \(\int x^m (A+B x^2) (b x^2+c x^4)^p \, dx\) [274]
3.3.75 \(\int x^{-1+n-j p} (c+d x^n) (a x^j+b x^{j+n})^p \, dx\) [275]
3.3.76 \(\int (e x)^m (c+d x^n)^q (a x^j+b x^{j+n})^p \, dx\) [276]
3.3.77 \(\int (e x)^{7/4} (c+d x^n)^q (a x^j+b x^{j+n})^{5/3} \, dx\) [277]
3.3.78 \(\int \genfrac {}{}{}{}{4+3 x^4}{5 x+2 x^5} \, dx\) [278]
3.3.79 \(\int \genfrac {}{}{}{}{1+x^6}{x-x^7} \, dx\) [279]
3.3.80 \(\int \genfrac {}{}{}{}{8+5 x^{10}}{2 x-x^{11}} \, dx\) [280]
3.3.81 \(\int \genfrac {}{}{}{}{-3+2 x}{-x^2+x^3} \, dx\) [281]
3.3.82 \(\int \genfrac {}{}{}{}{a x^m+b x^n}{c x^m+d x^n} \, dx\) [282]
3.3.83 \(\int x^m (a+b x^n)^p (a (1+m+q) x^q+b (1+m+n (1+p)+q) x^{n+q}) \, dx\) [283]
3.3.84 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^m}{c+d x} \, dx\) [284]
3.3.85 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^2}{c+d x} \, dx\) [285]
3.3.86 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x}{c+d x} \, dx\) [286]
3.3.87 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{c+d x} \, dx\) [287]
3.3.88 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x (c+d x)} \, dx\) [288]
3.3.89 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^2 (c+d x)} \, dx\) [289]
3.3.90 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^3 (c+d x)} \, dx\) [290]
3.3.91 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^5 (c+d x)} \, dx\) [291]
3.3.92 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^m}{(c+d x)^2} \, dx\) [292]
3.3.93 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^2}{(c+d x)^2} \, dx\) [293]
3.3.94 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x}{(c+d x)^2} \, dx\) [294]
3.3.95 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{(c+d x)^2} \, dx\) [295]
3.3.96 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x (c+d x)^2} \, dx\) [296]
3.3.97 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^2 (c+d x)^2} \, dx\) [297]
3.3.98 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^3 (c+d x)^2} \, dx\) [298]