3.3 Integrals 201 to 270

\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^4} \, dx\) [201]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^6} \, dx\) [202]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^8} \, dx\) [203]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^{10}} \, dx\) [204]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^{12}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^{14}} \, dx\) [206]
\(\int \genfrac {}{}{}{}{(a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6)}{x^{16}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{x^5 (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{x^3 (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{x (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x \sqrt {a+b x^2}} \, dx\) [211]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^3 \sqrt {a+b x^2}} \, dx\) [212]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^5 \sqrt {a+b x^2}} \, dx\) [213]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^7 \sqrt {a+b x^2}} \, dx\) [214]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^9 \sqrt {a+b x^2}} \, dx\) [215]
\(\int \genfrac {}{}{}{}{x^4 (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [216]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [217]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{\sqrt {a+b x^2}} \, dx\) [218]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^2 \sqrt {a+b x^2}} \, dx\) [219]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^4 \sqrt {a+b x^2}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^6 \sqrt {a+b x^2}} \, dx\) [221]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^8 \sqrt {a+b x^2}} \, dx\) [222]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^{10} \sqrt {a+b x^2}} \, dx\) [223]
\(\int \genfrac {}{}{}{}{x^5 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [224]
\(\int \genfrac {}{}{}{}{x^3 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{x (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x (a+b x^2)^{3/2}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^3 (a+b x^2)^{3/2}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^5 (a+b x^2)^{3/2}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^7 (a+b x^2)^{3/2}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^9 (a+b x^2)^{3/2}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{x^4 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{3/2}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^2 (a+b x^2)^{3/2}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^4 (a+b x^2)^{3/2}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^6 (a+b x^2)^{3/2}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^8 (a+b x^2)^{3/2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^{10} (a+b x^2)^{3/2}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{x^6 (A+B x^2+C x^4+B x^6)}{(a+b x^2)^{9/2}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{x^4 (A+B x^2+C x^4+B x^6)}{(a+b x^2)^{9/2}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+B x^6)}{(a+b x^2)^{9/2}} \, dx\) [242]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+B x^6}{(a+b x^2)^{9/2}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+B x^6}{x^2 (a+b x^2)^{9/2}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+B x^6}{x^4 (a+b x^2)^{9/2}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+B x^6}{x^6 (a+b x^2)^{9/2}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+B x^6}{x^8 (a+b x^2)^{9/2}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+B x^6}{x^{10} (a+b x^2)^{9/2}} \, dx\) [248]
\(\int \genfrac {}{}{}{}{A x^5+B x^7+C x^9+D x^{11}}{\sqrt {a+b x^2}} \, dx\) [249]
\(\int \genfrac {}{}{}{}{A x^3+B x^5+C x^7+D x^9}{\sqrt {a+b x^2}} \, dx\) [250]
\(\int \genfrac {}{}{}{}{A x+B x^3+C x^5+D x^7}{\sqrt {a+b x^2}} \, dx\) [251]
\(\int (c x)^m (a+b x^2)^3 (A+B x^2+C x^4+D x^6) \, dx\) [252]
\(\int (c x)^m (a+b x^2)^2 (A+B x^2+C x^4+D x^6) \, dx\) [253]
\(\int (c x)^m (a+b x^2) (A+B x^2+C x^4+D x^6) \, dx\) [254]
\(\int (c x)^m (A+B x^2+C x^4+D x^6) \, dx\) [255]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{a+b x^2} \, dx\) [256]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{(a+b x^2)^2} \, dx\) [257]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{(a+b x^2)^3} \, dx\) [258]
\(\int (c x)^m (a+b x^2)^{3/2} (A+B x^2+C x^4+D x^6) \, dx\) [259]
\(\int (c x)^m \sqrt {a+b x^2} (A+B x^2+C x^4+D x^6) \, dx\) [260]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{\sqrt {a+b x^2}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{3/2}} \, dx\) [262]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{5/2}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{(c x)^m (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{7/2}} \, dx\) [264]
\(\int (c x)^m (a+b x^2)^p (A+B x^2+C x^4+D x^6) \, dx\) [265]
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6+F x^8)}{(a+b x^2)^{9/2}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{(a+b x^2)^{9/2}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{x^2 (a+b x^2)^{9/2}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{x^4 (a+b x^2)^{9/2}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{x^6 (a+b x^2)^{9/2}} \, dx\) [270]