3.22 Integrals 2101 to 2200

  3.22.1 \(\int (d+e x)^{-2-2 p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2101]
  3.22.2 \(\int (d+e x)^{-3-2 p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2102]
  3.22.3 \(\int (d+e x)^{-4-2 p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2103]
  3.22.4 \(\int (d+e x)^{-5-2 p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2104]
  3.22.5 \(\int (d+e x)^m (a d e+(c d^2+a e^2) x+c d e x^2)^{-m} \, dx\) [2105]
  3.22.6 \(\int (d+e x)^{-p} (a d e+(c d^2+a e^2) x+c d e x^2)^p \, dx\) [2106]
  3.22.7 \(\int (d+e x)^4 (a+b x+c x^2) \, dx\) [2107]
  3.22.8 \(\int (d+e x)^3 (a+b x+c x^2) \, dx\) [2108]
  3.22.9 \(\int (d+e x)^2 (a+b x+c x^2) \, dx\) [2109]
  3.22.10 \(\int (d+e x) (a+b x+c x^2) \, dx\) [2110]
  3.22.11 \(\int (a+b x+c x^2) \, dx\) [2111]
  3.22.12 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{d+e x} \, dx\) [2112]
  3.22.13 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^2} \, dx\) [2113]
  3.22.14 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^3} \, dx\) [2114]
  3.22.15 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^4} \, dx\) [2115]
  3.22.16 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^5} \, dx\) [2116]
  3.22.17 \(\int \genfrac {}{}{}{}{a+b x+c x^2}{(d+e x)^6} \, dx\) [2117]
  3.22.18 \(\int (d+e x)^4 (a+b x+c x^2)^2 \, dx\) [2118]
  3.22.19 \(\int (d+e x)^3 (a+b x+c x^2)^2 \, dx\) [2119]
  3.22.20 \(\int (d+e x)^2 (a+b x+c x^2)^2 \, dx\) [2120]
  3.22.21 \(\int (d+e x) (a+b x+c x^2)^2 \, dx\) [2121]
  3.22.22 \(\int (a+b x+c x^2)^2 \, dx\) [2122]
  3.22.23 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{d+e x} \, dx\) [2123]
  3.22.24 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^2} \, dx\) [2124]
  3.22.25 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^3} \, dx\) [2125]
  3.22.26 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^4} \, dx\) [2126]
  3.22.27 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^5} \, dx\) [2127]
  3.22.28 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^6} \, dx\) [2128]
  3.22.29 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^7} \, dx\) [2129]
  3.22.30 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^2}{(d+e x)^8} \, dx\) [2130]
  3.22.31 \(\int (d+e x)^4 (a+b x+c x^2)^3 \, dx\) [2131]
  3.22.32 \(\int (d+e x)^3 (a+b x+c x^2)^3 \, dx\) [2132]
  3.22.33 \(\int (d+e x)^2 (a+b x+c x^2)^3 \, dx\) [2133]
  3.22.34 \(\int (d+e x) (a+b x+c x^2)^3 \, dx\) [2134]
  3.22.35 \(\int (a+b x+c x^2)^3 \, dx\) [2135]
  3.22.36 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{d+e x} \, dx\) [2136]
  3.22.37 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^2} \, dx\) [2137]
  3.22.38 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^3} \, dx\) [2138]
  3.22.39 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^4} \, dx\) [2139]
  3.22.40 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^5} \, dx\) [2140]
  3.22.41 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^6} \, dx\) [2141]
  3.22.42 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^7} \, dx\) [2142]
  3.22.43 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^8} \, dx\) [2143]
  3.22.44 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^9} \, dx\) [2144]
  3.22.45 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\) [2145]
  3.22.46 \(\int (d+e x)^4 (a+b x+c x^2)^4 \, dx\) [2146]
  3.22.47 \(\int (d+e x)^3 (a+b x+c x^2)^4 \, dx\) [2147]
  3.22.48 \(\int (d+e x)^2 (a+b x+c x^2)^4 \, dx\) [2148]
  3.22.49 \(\int (d+e x) (a+b x+c x^2)^4 \, dx\) [2149]
  3.22.50 \(\int (a+b x+c x^2)^4 \, dx\) [2150]
  3.22.51 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{d+e x} \, dx\) [2151]
  3.22.52 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^2} \, dx\) [2152]
  3.22.53 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^3} \, dx\) [2153]
  3.22.54 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^4} \, dx\) [2154]
  3.22.55 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^5} \, dx\) [2155]
  3.22.56 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^6} \, dx\) [2156]
  3.22.57 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^7} \, dx\) [2157]
  3.22.58 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^8} \, dx\) [2158]
  3.22.59 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^9} \, dx\) [2159]
  3.22.60 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^{10}} \, dx\) [2160]
  3.22.61 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^{11}} \, dx\) [2161]
  3.22.62 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^4}{(d+e x)^{12}} \, dx\) [2162]
  3.22.63 \(\int x^4 (3-4 x+x^2)^2 \, dx\) [2163]
  3.22.64 \(\int x^3 (3-4 x+x^2)^2 \, dx\) [2164]
  3.22.65 \(\int x^2 (3-4 x+x^2)^2 \, dx\) [2165]
  3.22.66 \(\int x (3-4 x+x^2)^2 \, dx\) [2166]
  3.22.67 \(\int (3-4 x+x^2)^2 \, dx\) [2167]
  3.22.68 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x} \, dx\) [2168]
  3.22.69 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x^2} \, dx\) [2169]
  3.22.70 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x^3} \, dx\) [2170]
  3.22.71 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x^4} \, dx\) [2171]
  3.22.72 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x^5} \, dx\) [2172]
  3.22.73 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x^6} \, dx\) [2173]
  3.22.74 \(\int \genfrac {}{}{}{}{(3-4 x+x^2)^2}{x^7} \, dx\) [2174]
  3.22.75 \(\int \genfrac {}{}{}{}{2+2 x+x^2}{2+x} \, dx\) [2175]
  3.22.76 \(\int \genfrac {}{}{}{}{5+4 x+x^2}{-2+x} \, dx\) [2176]
  3.22.77 \(\int \genfrac {}{}{}{}{2+2 x+x^2}{(1+x)^3} \, dx\) [2177]
  3.22.78 \(\int \genfrac {}{}{}{}{3+3 x+2 x^2}{(1+x)^3} \, dx\) [2178]
  3.22.79 \(\int \genfrac {}{}{}{}{1+x+x^2}{x} \, dx\) [2179]
  3.22.80 \(\int \genfrac {}{}{}{}{9+6 x+x^2}{x^2} \, dx\) [2180]
  3.22.81 \(\int \genfrac {}{}{}{}{1+2 x+x^2}{x^4} \, dx\) [2181]
  3.22.82 \(\int \genfrac {}{}{}{}{(d+e x)^4}{a+b x+c x^2} \, dx\) [2182]
  3.22.83 \(\int \genfrac {}{}{}{}{(d+e x)^3}{a+b x+c x^2} \, dx\) [2183]
  3.22.84 \(\int \genfrac {}{}{}{}{(d+e x)^2}{a+b x+c x^2} \, dx\) [2184]
  3.22.85 \(\int \genfrac {}{}{}{}{d+e x}{a+b x+c x^2} \, dx\) [2185]
  3.22.86 \(\int \genfrac {}{}{}{}{1}{a+b x+c x^2} \, dx\) [2186]
  3.22.87 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)} \, dx\) [2187]
  3.22.88 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)} \, dx\) [2188]
  3.22.89 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)} \, dx\) [2189]
  3.22.90 \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a+b x+c x^2)^2} \, dx\) [2190]
  3.22.91 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^2} \, dx\) [2191]
  3.22.92 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^2} \, dx\) [2192]
  3.22.93 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^2} \, dx\) [2193]
  3.22.94 \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^2} \, dx\) [2194]
  3.22.95 \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^2} \, dx\) [2195]
  3.22.96 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^2} \, dx\) [2196]
  3.22.97 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\) [2197]
  3.22.98 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^2} \, dx\) [2198]
  3.22.99 \(\int \genfrac {}{}{}{}{x^7}{(a+b x+c x^2)^3} \, dx\) [2199]
  3.22.100 \(\int \genfrac {}{}{}{}{x^6}{(a+b x+c x^2)^3} \, dx\) [2200]