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3.22
Integrals 2101 to 2200
\(\int (a+b x) (d+e x)^{3/2} (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [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]
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