3.3 Integrals 201 to 298

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