3.3 Integrals 201 to 298

   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [201]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [202]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [203]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [204]
   \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} (b x^2+c x^4)^2} \, dx\) [205]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{3/2} (b x^2+c x^4)^2} \, dx\) [206]
   \(\int \genfrac {}{}{}{}{x^{23/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [207]
   \(\int \genfrac {}{}{}{}{x^{21/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [208]
   \(\int \genfrac {}{}{}{}{x^{19/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [209]
   \(\int \genfrac {}{}{}{}{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [210]
   \(\int \genfrac {}{}{}{}{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [211]
   \(\int \genfrac {}{}{}{}{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [212]
   \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [213]
   \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [214]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [215]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [216]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [217]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\) [218]
   \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} (b x^2+c x^4)^3} \, dx\) [219]
   \(\int x^{5/2} (A+B x^2) \sqrt {b x^2+c x^4} \, dx\) [220]
   \(\int x^{3/2} (A+B x^2) \sqrt {b x^2+c x^4} \, dx\) [221]
   \(\int \sqrt {x} (A+B x^2) \sqrt {b x^2+c x^4} \, dx\) [222]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{\sqrt {x}} \, dx\) [223]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{3/2}} \, dx\) [224]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{5/2}} \, dx\) [225]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{7/2}} \, dx\) [226]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{9/2}} \, dx\) [227]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{11/2}} \, dx\) [228]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{13/2}} \, dx\) [229]
   \(\int \genfrac {}{}{}{}{(A+B x^2) \sqrt {b x^2+c x^4}}{x^{15/2}} \, dx\) [230]
   \(\int x^{7/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [231]
   \(\int x^{5/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [232]
   \(\int x^{3/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [233]
   \(\int \sqrt {x} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\) [234]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{\sqrt {x}} \, dx\) [235]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{3/2}} \, dx\) [236]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{5/2}} \, dx\) [237]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{7/2}} \, dx\) [238]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{9/2}} \, dx\) [239]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{11/2}} \, dx\) [240]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{13/2}} \, dx\) [241]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{15/2}} \, dx\) [242]
   \(\int \genfrac {}{}{}{}{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{17/2}} \, dx\) [243]
   \(\int \genfrac {}{}{}{}{x^{13/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [244]
   \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [245]
   \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [246]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [247]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [248]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [249]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{\sqrt {b x^2+c x^4}} \, dx\) [250]
   \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} \sqrt {b x^2+c x^4}} \, dx\) [251]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{3/2} \sqrt {b x^2+c x^4}} \, dx\) [252]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{5/2} \sqrt {b x^2+c x^4}} \, dx\) [253]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{7/2} \sqrt {b x^2+c x^4}} \, dx\) [254]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{9/2} \sqrt {b x^2+c x^4}} \, dx\) [255]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{11/2} \sqrt {b x^2+c x^4}} \, dx\) [256]
   \(\int \genfrac {}{}{}{}{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [257]
   \(\int \genfrac {}{}{}{}{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [258]
   \(\int \genfrac {}{}{}{}{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [259]
   \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [260]
   \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [261]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [262]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [263]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [264]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\) [265]
   \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {x} (b x^2+c x^4)^{3/2}} \, dx\) [266]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{3/2} (b x^2+c x^4)^{3/2}} \, dx\) [267]
   \(\int \genfrac {}{}{}{}{A+B x^2}{x^{5/2} (b x^2+c x^4)^{3/2}} \, dx\) [268]
   \(\int x^m (A+B x^2) (b x^2+c x^4)^3 \, dx\) [269]
   \(\int x^m (A+B x^2) (b x^2+c x^4)^2 \, dx\) [270]
   \(\int x^m (A+B x^2) (b x^2+c x^4) \, dx\) [271]
   \(\int \genfrac {}{}{}{}{x^m (A+B x^2)}{b x^2+c x^4} \, dx\) [272]
   \(\int \genfrac {}{}{}{}{x^m (A+B x^2)}{(b x^2+c x^4)^2} \, dx\) [273]
   \(\int x^m (A+B x^2) (b x^2+c x^4)^p \, dx\) [274]
   \(\int x^{-1+n-j p} (c+d x^n) (a x^j+b x^{j+n})^p \, dx\) [275]
   \(\int (e x)^m (c+d x^n)^q (a x^j+b x^{j+n})^p \, dx\) [276]
   \(\int (e x)^{7/4} (c+d x^n)^q (a x^j+b x^{j+n})^{5/3} \, dx\) [277]
   \(\int \genfrac {}{}{}{}{4+3 x^4}{5 x+2 x^5} \, dx\) [278]
   \(\int \genfrac {}{}{}{}{1+x^6}{x-x^7} \, dx\) [279]
   \(\int \genfrac {}{}{}{}{8+5 x^{10}}{2 x-x^{11}} \, dx\) [280]
   \(\int \genfrac {}{}{}{}{-3+2 x}{-x^2+x^3} \, dx\) [281]
   \(\int \genfrac {}{}{}{}{a x^m+b x^n}{c x^m+d x^n} \, dx\) [282]
   \(\int x^m (a+b x^n)^p (a (1+m+q) x^q+b (1+m+n (1+p)+q) x^{n+q}) \, dx\) [283]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^m}{c+d x} \, dx\) [284]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^2}{c+d x} \, dx\) [285]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x}{c+d x} \, dx\) [286]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{c+d x} \, dx\) [287]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x (c+d x)} \, dx\) [288]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^2 (c+d x)} \, dx\) [289]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^3 (c+d x)} \, dx\) [290]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^5 (c+d x)} \, dx\) [291]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^m}{(c+d x)^2} \, dx\) [292]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x^2}{(c+d x)^2} \, dx\) [293]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n x}{(c+d x)^2} \, dx\) [294]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{(c+d x)^2} \, dx\) [295]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x (c+d x)^2} \, dx\) [296]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^2 (c+d x)^2} \, dx\) [297]
   \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x})^n}{x^3 (c+d x)^2} \, dx\) [298]