\(\int x^{5/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [801]
   \(\int x^{3/2} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [802]
   \(\int \sqrt {x} (A+B x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [803]
   \(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {x}} \, dx\) [804]
   \(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{3/2}} \, dx\) [805]
   \(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{5/2}} \, dx\) [806]
   \(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{7/2}} \, dx\) [807]
   \(\int \genfrac {}{}{}{}{(A+B x) (a^2+2 a b x+b^2 x^2)^{5/2}}{x^{9/2}} \, dx\) [808]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [809]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [810]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [811]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [812]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [813]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [814]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [815]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [816]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{9/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [817]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [818]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [819]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [820]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [821]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [822]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [823]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [824]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [825]
   \(\int \genfrac {}{}{}{}{x^{11/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [826]
   \(\int \genfrac {}{}{}{}{x^{9/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [827]
   \(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [828]
   \(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [829]
   \(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [830]
   \(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [831]
   \(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [832]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [833]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [834]
   \(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [835]
   \(\int x^m (A+B x) (a^2+2 a b x+b^2 x^2)^3 \, dx\) [836]
   \(\int x^m (A+B x) (a^2+2 a b x+b^2 x^2)^2 \, dx\) [837]
   \(\int x^m (A+B x) (a^2+2 a b x+b^2 x^2) \, dx\) [838]
   \(\int \genfrac {}{}{}{}{x^m (A+B x)}{a^2+2 a b x+b^2 x^2} \, dx\) [839]
   \(\int \genfrac {}{}{}{}{x^m (A+B x)}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [840]
   \(\int x^m (1+x) (1+2 x+x^2)^5 \, dx\) [841]
   \(\int x^m (d+e x) (1+2 x+x^2)^5 \, dx\) [842]
   \(\int x^3 (A+B x) (a+b x+c x^2) \, dx\) [843]
   \(\int x^2 (A+B x) (a+b x+c x^2) \, dx\) [844]
   \(\int x (A+B x) (a+b x+c x^2) \, dx\) [845]
   \(\int (A+B x) (a+b x+c x^2) \, dx\) [846]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x} \, dx\) [847]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^2} \, dx\) [848]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^3} \, dx\) [849]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^4} \, dx\) [850]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^5} \, dx\) [851]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^6} \, dx\) [852]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^7} \, dx\) [853]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{x^8} \, dx\) [854]
   \(\int x^2 (A+B x) (a+b x+c x^2)^2 \, dx\) [855]
   \(\int x (A+B x) (a+b x+c x^2)^2 \, dx\) [856]
   \(\int (A+B x) (a+b x+c x^2)^2 \, dx\) [857]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x} \, dx\) [858]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^2} \, dx\) [859]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^3} \, dx\) [860]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^4} \, dx\) [861]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^5} \, dx\) [862]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^6} \, dx\) [863]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^7} \, dx\) [864]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^8} \, dx\) [865]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{x^9} \, dx\) [866]
   \(\int x^2 (A+B x) (a+b x+c x^2)^3 \, dx\) [867]
   \(\int x (A+B x) (a+b x+c x^2)^3 \, dx\) [868]
   \(\int (A+B x) (a+b x+c x^2)^3 \, dx\) [869]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x} \, dx\) [870]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^2} \, dx\) [871]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^3} \, dx\) [872]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^4} \, dx\) [873]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^5} \, dx\) [874]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^6} \, dx\) [875]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^7} \, dx\) [876]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^8} \, dx\) [877]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^9} \, dx\) [878]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{10}} \, dx\) [879]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{11}} \, dx\) [880]
   \(\int \genfrac {}{}{}{}{x^4 (d+e x)}{a+b x+c x^2} \, dx\) [881]
   \(\int \genfrac {}{}{}{}{x^3 (d+e x)}{a+b x+c x^2} \, dx\) [882]
   \(\int \genfrac {}{}{}{}{x^2 (d+e x)}{a+b x+c x^2} \, dx\) [883]
   \(\int \genfrac {}{}{}{}{x (d+e x)}{a+b x+c x^2} \, dx\) [884]
   \(\int \genfrac {}{}{}{}{d+e x}{a+b x+c x^2} \, dx\) [885]
   \(\int \genfrac {}{}{}{}{d+e x}{x (a+b x+c x^2)} \, dx\) [886]
   \(\int \genfrac {}{}{}{}{d+e x}{x^2 (a+b x+c x^2)} \, dx\) [887]
   \(\int \genfrac {}{}{}{}{d+e x}{x^3 (a+b x+c x^2)} \, dx\) [888]
   \(\int \genfrac {}{}{}{}{d+e x}{x^4 (a+b x+c x^2)} \, dx\) [889]
   \(\int \genfrac {}{}{}{}{x^4 (d+e x)}{(a+b x+c x^2)^2} \, dx\) [890]
   \(\int \genfrac {}{}{}{}{x^3 (d+e x)}{(a+b x+c x^2)^2} \, dx\) [891]
   \(\int \genfrac {}{}{}{}{x^2 (d+e x)}{(a+b x+c x^2)^2} \, dx\) [892]
   \(\int \genfrac {}{}{}{}{x (d+e x)}{(a+b x+c x^2)^2} \, dx\) [893]
   \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^2} \, dx\) [894]
   \(\int \genfrac {}{}{}{}{d+e x}{x (a+b x+c x^2)^2} \, dx\) [895]
   \(\int \genfrac {}{}{}{}{d+e x}{x^2 (a+b x+c x^2)^2} \, dx\) [896]
   \(\int \genfrac {}{}{}{}{d+e x}{x^3 (a+b x+c x^2)^2} \, dx\) [897]
   \(\int \genfrac {}{}{}{}{5+2 x}{4+5 x+x^2} \, dx\) [898]
   \(\int \genfrac {}{}{}{}{7+3 x}{8+6 x+x^2} \, dx\) [899]
   \(\int \genfrac {}{}{}{}{5+2 x}{5+4 x+x^2} \, dx\) [900]