\(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^2}{x^{9/2}} \, dx\) [401]
   \(\int x^{7/2} (A+B x) (a+c x^2)^3 \, dx\) [402]
   \(\int x^{5/2} (A+B x) (a+c x^2)^3 \, dx\) [403]
   \(\int x^{3/2} (A+B x) (a+c x^2)^3 \, dx\) [404]
   \(\int \sqrt {x} (A+B x) (a+c x^2)^3 \, dx\) [405]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{\sqrt {x}} \, dx\) [406]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{x^{3/2}} \, dx\) [407]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{x^{5/2}} \, dx\) [408]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{x^{7/2}} \, dx\) [409]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{x^{9/2}} \, dx\) [410]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^3}{x^{11/2}} \, dx\) [411]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{a+c x^2} \, dx\) [412]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{a+c x^2} \, dx\) [413]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{a+c x^2} \, dx\) [414]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+c x^2)} \, dx\) [415]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+c x^2)} \, dx\) [416]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a+c x^2)} \, dx\) [417]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} (a+c x^2)} \, dx\) [418]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{9/2} (a+c x^2)} \, dx\) [419]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a+c x^2)^2} \, dx\) [420]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a+c x^2)^2} \, dx\) [421]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a+c x^2)^2} \, dx\) [422]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+c x^2)^2} \, dx\) [423]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+c x^2)^2} \, dx\) [424]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a+c x^2)^2} \, dx\) [425]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{(a+c x^2)^3} \, dx\) [426]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a+c x^2)^3} \, dx\) [427]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a+c x^2)^3} \, dx\) [428]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a+c x^2)^3} \, dx\) [429]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+c x^2)^3} \, dx\) [430]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+c x^2)^3} \, dx\) [431]
   \(\int \genfrac {}{}{}{}{1-x}{\sqrt {x} (1+x^2)} \, dx\) [432]
   \(\int (e x)^{7/2} (A+B x) \sqrt {a+c x^2} \, dx\) [433]
   \(\int (e x)^{5/2} (A+B x) \sqrt {a+c x^2} \, dx\) [434]
   \(\int (e x)^{3/2} (A+B x) \sqrt {a+c x^2} \, dx\) [435]
   \(\int \sqrt {e x} (A+B x) \sqrt {a+c x^2} \, dx\) [436]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{\sqrt {e x}} \, dx\) [437]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{(e x)^{3/2}} \, dx\) [438]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{(e x)^{5/2}} \, dx\) [439]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{(e x)^{7/2}} \, dx\) [440]
   \(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+c x^2}}{(e x)^{9/2}} \, dx\) [441]
   \(\int (e x)^{5/2} (A+B x) (a+c x^2)^{3/2} \, dx\) [442]
   \(\int (e x)^{3/2} (A+B x) (a+c x^2)^{3/2} \, dx\) [443]
   \(\int \sqrt {e x} (A+B x) (a+c x^2)^{3/2} \, dx\) [444]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{\sqrt {e x}} \, dx\) [445]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(e x)^{3/2}} \, dx\) [446]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(e x)^{5/2}} \, dx\) [447]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(e x)^{7/2}} \, dx\) [448]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{3/2}}{(e x)^{9/2}} \, dx\) [449]
   \(\int (e x)^{3/2} (A+B x) (a+c x^2)^{5/2} \, dx\) [450]
   \(\int \sqrt {e x} (A+B x) (a+c x^2)^{5/2} \, dx\) [451]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{5/2}}{\sqrt {e x}} \, dx\) [452]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{5/2}}{(e x)^{3/2}} \, dx\) [453]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{5/2}}{(e x)^{5/2}} \, dx\) [454]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{5/2}}{(e x)^{7/2}} \, dx\) [455]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{5/2}}{(e x)^{9/2}} \, dx\) [456]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+c x^2)^{5/2}}{(e x)^{11/2}} \, dx\) [457]
   \(\int \genfrac {}{}{}{}{(e x)^{7/2} (A+B x)}{\sqrt {a+c x^2}} \, dx\) [458]
   \(\int \genfrac {}{}{}{}{(e x)^{5/2} (A+B x)}{\sqrt {a+c x^2}} \, dx\) [459]
   \(\int \genfrac {}{}{}{}{(e x)^{3/2} (A+B x)}{\sqrt {a+c x^2}} \, dx\) [460]
   \(\int \genfrac {}{}{}{}{\sqrt {e x} (A+B x)}{\sqrt {a+c x^2}} \, dx\) [461]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} \sqrt {a+c x^2}} \, dx\) [462]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{3/2} \sqrt {a+c x^2}} \, dx\) [463]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{5/2} \sqrt {a+c x^2}} \, dx\) [464]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{7/2} \sqrt {a+c x^2}} \, dx\) [465]
   \(\int \genfrac {}{}{}{}{(e x)^{7/2} (A+B x)}{(a+c x^2)^{3/2}} \, dx\) [466]
   \(\int \genfrac {}{}{}{}{(e x)^{5/2} (A+B x)}{(a+c x^2)^{3/2}} \, dx\) [467]
   \(\int \genfrac {}{}{}{}{(e x)^{3/2} (A+B x)}{(a+c x^2)^{3/2}} \, dx\) [468]
   \(\int \genfrac {}{}{}{}{\sqrt {e x} (A+B x)}{(a+c x^2)^{3/2}} \, dx\) [469]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} (a+c x^2)^{3/2}} \, dx\) [470]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{3/2} (a+c x^2)^{3/2}} \, dx\) [471]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{5/2} (a+c x^2)^{3/2}} \, dx\) [472]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{7/2} (a+c x^2)^{3/2}} \, dx\) [473]
   \(\int \genfrac {}{}{}{}{(e x)^{13/2} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [474]
   \(\int \genfrac {}{}{}{}{(e x)^{11/2} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [475]
   \(\int \genfrac {}{}{}{}{(e x)^{9/2} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [476]
   \(\int \genfrac {}{}{}{}{(e x)^{7/2} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [477]
   \(\int \genfrac {}{}{}{}{(e x)^{5/2} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [478]
   \(\int \genfrac {}{}{}{}{(e x)^{3/2} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [479]
   \(\int \genfrac {}{}{}{}{\sqrt {e x} (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [480]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} (a+c x^2)^{5/2}} \, dx\) [481]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{3/2} (a+c x^2)^{5/2}} \, dx\) [482]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{5/2} (a+c x^2)^{5/2}} \, dx\) [483]
   \(\int \genfrac {}{}{}{}{A+B x}{(e x)^{7/2} (a+c x^2)^{5/2}} \, dx\) [484]
   \(\int (e x)^m (A+B x) (a+c x^2)^4 \, dx\) [485]
   \(\int (e x)^m (A+B x) (a+c x^2)^3 \, dx\) [486]
   \(\int (e x)^m (A+B x) (a+c x^2)^2 \, dx\) [487]
   \(\int (e x)^m (A+B x) (a+c x^2) \, dx\) [488]
   \(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{a+c x^2} \, dx\) [489]
   \(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+c x^2)^2} \, dx\) [490]
   \(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+c x^2)^3} \, dx\) [491]
   \(\int (e x)^m (A+B x) (a+c x^2)^{5/2} \, dx\) [492]
   \(\int (e x)^m (A+B x) (a+c x^2)^{3/2} \, dx\) [493]
   \(\int (e x)^m (A+B x) \sqrt {a+c x^2} \, dx\) [494]
   \(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{\sqrt {a+c x^2}} \, dx\) [495]
   \(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+c x^2)^{3/2}} \, dx\) [496]
   \(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+c x^2)^{5/2}} \, dx\) [497]
   \(\int \genfrac {}{}{}{}{x^m (1+a x)}{(1-a^2 x^2)^2} \, dx\) [498]
   \(\int \genfrac {}{}{}{}{x^m}{(1-a x)^2 (1+a x)} \, dx\) [499]
   \(\int (\genfrac {}{}{}{}{x^m}{(1-a^2 x^2)^2}+\genfrac {}{}{}{}{a x^{1+m}}{(1-a^2 x^2)^2}) \, dx\) [500]