3.3 Integrals 201 to 260

\(\int \genfrac {}{}{}{}{x (A+B x+C x^2)}{(c+d x)^{5/2} \sqrt {a-b x^2}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(c+d x)^{5/2} \sqrt {a-b x^2}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x (c+d x)^{5/2} \sqrt {a-b x^2}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^2 (c+d x)^{5/2} \sqrt {a-b x^2}} \, dx\) [204]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^3 (c+d x)^{5/2} \sqrt {a-b x^2}} \, dx\) [205]
\(\int \genfrac {}{}{}{}{B x+C x^2}{x \sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [206]
\(\int \genfrac {}{}{}{}{x^4 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{x^3 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [210]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [211]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x \sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [212]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^2 \sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [213]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^3 \sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [214]
\(\int \genfrac {}{}{}{}{x^4 (A+B x+C x^2)}{(c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [215]
\(\int \genfrac {}{}{}{}{x^3 (A+B x+C x^2)}{(c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [216]
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2)}{(c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [217]
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2)}{(c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [218]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [219]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x (c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^2 (c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [221]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^3 (c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [222]
\(\int \genfrac {}{}{}{}{x^4 (A+B x+C x^2)}{(c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [223]
\(\int \genfrac {}{}{}{}{x^3 (A+B x+C x^2)}{(c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [224]
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2)}{(c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [225]
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2)}{(c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [226]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [227]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x (c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [228]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^2 (c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [229]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^3 (c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [230]
\(\int \genfrac {}{}{}{}{x^5 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [231]
\(\int \genfrac {}{}{}{}{x^4 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [232]
\(\int \genfrac {}{}{}{}{x^3 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [233]
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2)}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x \sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^2 \sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [238]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{x^3 \sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2+D x^3+F x^4)}{\sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2+D x^3+F x^4)}{\sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3+F x^4}{\sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [242]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3+F x^4}{x \sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3+F x^4}{x^2 \sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3+F x^4}{x^3 \sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [245]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3+F x^4}{x^4 \sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [246]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3+F x^4}{x^5 \sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [247]
\(\int \genfrac {}{}{}{}{(e x)^{3/2} (A+B x)}{(c+d x) \sqrt {a-b x^2}} \, dx\) [248]
\(\int \genfrac {}{}{}{}{\sqrt {e x} (A+B x)}{(c+d x) \sqrt {a-b x^2}} \, dx\) [249]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} (c+d x) \sqrt {a-b x^2}} \, dx\) [250]
\(\int \genfrac {}{}{}{}{A+B x}{(e x)^{3/2} (c+d x) \sqrt {a-b x^2}} \, dx\) [251]
\(\int \genfrac {}{}{}{}{A+B x}{(e x)^{5/2} (c+d x) \sqrt {a-b x^2}} \, dx\) [252]
\(\int \genfrac {}{}{}{}{(e x)^{3/2} (A+B x)}{(c+d x) \sqrt {a+b x^2}} \, dx\) [253]
\(\int \genfrac {}{}{}{}{\sqrt {e x} (A+B x)}{(c+d x) \sqrt {a+b x^2}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} (c+d x) \sqrt {a+b x^2}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{A+B x}{(e x)^{3/2} (c+d x) \sqrt {a+b x^2}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{A+B x}{(e x)^{5/2} (c+d x) \sqrt {a+b x^2}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {e x} \sqrt {c+d x} \sqrt {a+b x^2}} \, dx\) [258]
\(\int (g x)^m (c+d x)^{-p} (c (1+m)-d (2+m+p) x) (c^2-d^2 x^2)^p \, dx\) [259]
\(\int \genfrac {}{}{}{}{(g x)^m (e+f x) \sqrt {c^2-d^2 x^2}}{(c+d x)^{5/2}} \, dx\) [260]