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