\(\int (a+b x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [2101]
   \(\int (a+b x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [2102]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [2103]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [2104]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [2105]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [2106]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [2107]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [2108]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\) [2109]
   \(\int (a+b x) (d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [2110]
   \(\int (a+b x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [2111]
   \(\int (a+b x) \sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [2112]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [2113]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [2114]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [2115]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [2116]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [2117]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [2118]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [2119]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [2120]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{17/2}} \, dx\) [2121]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{7/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2122]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{5/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2123]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{3/2}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2124]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {d+e x}}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2125]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {d+e x} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2126]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{3/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2127]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{5/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2128]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{7/2} \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2129]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2130]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2131]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2132]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2133]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2134]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2135]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2136]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2137]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{7/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2138]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{5/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2139]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^{3/2}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2140]
   \(\int \genfrac {}{}{}{}{(a+b x) \sqrt {d+e x}}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2141]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {d+e x} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2142]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2143]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{5/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2144]
   \(\int \genfrac {}{}{}{}{a+b x}{(d+e x)^{7/2} (a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2145]
   \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2146]
   \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^2 \, dx\) [2147]
   \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2) \, dx\) [2148]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^m}{a^2+2 a b x+b^2 x^2} \, dx\) [2149]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^m}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [2150]
   \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [2151]
   \(\int (a+b x) (d+e x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [2152]
   \(\int (a+b x) (d+e x)^m \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [2153]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^m}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [2154]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2155]
   \(\int \genfrac {}{}{}{}{(a+b x) (d+e x)^m}{(a^2+2 a b x+b^2 x^2)^{5/2}} \, dx\) [2156]
   \(\int (a c+b c x) (d+e x)^{-3-2 p} (a^2+2 a b x+b^2 x^2)^p \, dx\) [2157]
   \(\int (a+b x) (d+e x)^3 (a^2+2 a b x+b^2 x^2)^p \, dx\) [2158]
   \(\int (a+b x) (d+e x)^2 (a^2+2 a b x+b^2 x^2)^p \, dx\) [2159]
   \(\int (a+b x) (d+e x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [2160]
   \(\int (a+b x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [2161]
   \(\int \genfrac {}{}{}{}{(a+b x) (a^2+2 a b x+b^2 x^2)^p}{d+e x} \, dx\) [2162]
   \(\int (A+B x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2163]
   \(\int \genfrac {}{}{}{}{(A+B x) (a c+b c x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2164]
   \(\int (A+B x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [2165]
   \(\int \genfrac {}{}{}{}{(A+B x) (a c+b c x)^m}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [2166]
   \(\int (a c+b c x)^m (f+g x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [2167]
   \(\int (a c+b c x)^{-3-2 p} (f+g x) (a^2+2 a b x+b^2 x^2)^p \, dx\) [2168]
   \(\int (a+b x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^p \, dx\) [2169]
   \(\int (a+b x) (a c+b c x)^m (a^2+2 a b x+b^2 x^2)^3 \, dx\) [2170]
   \(\int \genfrac {}{}{}{}{(a+b x) (a c+b c x)^m}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [2171]
   \(\int (d+e x)^3 (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2172]
   \(\int (d+e x)^2 (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2173]
   \(\int (d+e x) (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2174]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{d+e x} \, dx\) [2175]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^2} \, dx\) [2176]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^3} \, dx\) [2177]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^4} \, dx\) [2178]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^5} \, dx\) [2179]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^6} \, dx\) [2180]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^7} \, dx\) [2181]
   \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^8} \, dx\) [2182]
   \(\int (d+e x)^3 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2183]
   \(\int (d+e x)^2 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2184]
   \(\int (d+e x) (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2185]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{d+e x} \, dx\) [2186]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^2} \, dx\) [2187]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^3} \, dx\) [2188]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^4} \, dx\) [2189]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^5} \, dx\) [2190]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^6} \, dx\) [2191]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^7} \, dx\) [2192]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^8} \, dx\) [2193]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^9} \, dx\) [2194]
   \(\int (d+e x)^3 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2195]
   \(\int (d+e x)^2 (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2196]
   \(\int (d+e x) (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2197]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{d+e x} \, dx\) [2198]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^2} \, dx\) [2199]
   \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^3} \, dx\) [2200]