3.23.1 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^4} \, dx\) [2201]
  3.23.2 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^5} \, dx\) [2202]
  3.23.3 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^6} \, dx\) [2203]
  3.23.4 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^7} \, dx\) [2204]
  3.23.5 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^8} \, dx\) [2205]
  3.23.6 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^9} \, dx\) [2206]
  3.23.7 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [2207]
  3.23.8 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\) [2208]
  3.23.9 \(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2209]
  3.23.10 \(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2210]
  3.23.11 \(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2211]
  3.23.12 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2212]
  3.23.13 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2213]
  3.23.14 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^3 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2214]
  3.23.15 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^4 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2215]
  3.23.16 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^5 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2216]
  3.23.17 \(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2217]
  3.23.18 \(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2218]
  3.23.19 \(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2219]
  3.23.20 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2220]
  3.23.21 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2221]
  3.23.22 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^3 (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2222]
  3.23.23 \(\int \genfrac {}{}{}{}{(d+e x)^5 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2223]
  3.23.24 \(\int \genfrac {}{}{}{}{(d+e x)^4 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2224]
  3.23.25 \(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2225]
  3.23.26 \(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2226]
  3.23.27 \(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2227]
  3.23.28 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2228]
  3.23.29 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2229]
  3.23.30 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^3 (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2230]
  3.23.31 \(\int (d+e x)^{5/2} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2231]
  3.23.32 \(\int (d+e x)^{3/2} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2232]
  3.23.33 \(\int \sqrt {d+e x} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2233]
  3.23.34 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{\sqrt {d+e x}} \, dx\) [2234]
  3.23.35 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{3/2}} \, dx\) [2235]
  3.23.36 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{5/2}} \, dx\) [2236]
  3.23.37 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{7/2}} \, dx\) [2237]
  3.23.38 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{9/2}} \, dx\) [2238]
  3.23.39 \(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{11/2}} \, dx\) [2239]
  3.23.40 \(\int (d+e x)^{5/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2240]
  3.23.41 \(\int (d+e x)^{3/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2241]
  3.23.42 \(\int \sqrt {d+e x} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2242]
  3.23.43 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [2243]
  3.23.44 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [2244]
  3.23.45 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [2245]
  3.23.46 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [2246]
  3.23.47 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [2247]
  3.23.48 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [2248]
  3.23.49 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\) [2249]
  3.23.50 \(\int (d+e x)^{5/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2250]
  3.23.51 \(\int (d+e x)^{3/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2251]
  3.23.52 \(\int \sqrt {d+e x} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2252]
  3.23.53 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [2253]
  3.23.54 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [2254]
  3.23.55 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [2255]
  3.23.56 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [2256]
  3.23.57 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [2257]
  3.23.58 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [2258]
  3.23.59 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [2259]
  3.23.60 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [2260]
  3.23.61 \(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{17/2}} \, dx\) [2261]
  3.23.62 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2262]
  3.23.63 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2263]
  3.23.64 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2264]
  3.23.65 \(\int \genfrac {}{}{}{}{f+g x}{\sqrt {d+e x} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2265]
  3.23.66 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{3/2} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2266]
  3.23.67 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{5/2} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2267]
  3.23.68 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2268]
  3.23.69 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2269]
  3.23.70 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2270]
  3.23.71 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2271]
  3.23.72 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2272]
  3.23.73 \(\int \genfrac {}{}{}{}{f+g x}{\sqrt {d+e x} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2273]
  3.23.74 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{3/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2274]
  3.23.75 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{5/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2275]
  3.23.76 \(\int \genfrac {}{}{}{}{(d+e x)^{13/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2276]
  3.23.77 \(\int \genfrac {}{}{}{}{(d+e x)^{11/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2277]
  3.23.78 \(\int \genfrac {}{}{}{}{(d+e x)^{9/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2278]
  3.23.79 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2279]
  3.23.80 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2280]
  3.23.81 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2281]
  3.23.82 \(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2282]
  3.23.83 \(\int \genfrac {}{}{}{}{f+g x}{\sqrt {d+e x} (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2283]
  3.23.84 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{3/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2284]
  3.23.85 \(\int (d+e x)^m (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2285]
  3.23.86 \(\int (d+e x)^m (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2286]
  3.23.87 \(\int (d+e x)^m (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2287]
  3.23.88 \(\int \genfrac {}{}{}{}{(d+e x)^m (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2288]
  3.23.89 \(\int \genfrac {}{}{}{}{(d+e x)^m (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2289]
  3.23.90 \(\int \genfrac {}{}{}{}{(d+e x)^m (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2290]
  3.23.91 \(\int (d+e x)^m (c d m-b e (1+m+p)-c e (2+m+2 p) x) (c d^2-b d e-b e^2 x-c e^2 x^2)^p \, dx\) [2291]
  3.23.92 \(\int (d+e x)^{-3-2 p} (f+g x) (d (e f+d g+d g p)+e (e f+3 d g+2 d g p) x+e^2 g (2+p) x^2)^p \, dx\) [2292]
  3.23.93 \(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(c f^2-b f g-b g^2 x-c g^2 x^2)^2} \, dx\) [2293]
  3.23.94 \(\int (1+x)^4 (a+b x) (1-x+x^2)^4 \, dx\) [2294]
  3.23.95 \(\int (1+x)^3 (a+b x) (1-x+x^2)^3 \, dx\) [2295]
  3.23.96 \(\int (1+x)^2 (a+b x) (1-x+x^2)^2 \, dx\) [2296]
  3.23.97 \(\int (1+x) (a+b x) (1-x+x^2) \, dx\) [2297]
  3.23.98 \(\int \genfrac {}{}{}{}{a+b x}{(1+x) (1-x+x^2)} \, dx\) [2298]
  3.23.99 \(\int \genfrac {}{}{}{}{a+b x}{(1+x)^2 (1-x+x^2)^2} \, dx\) [2299]
  3.23.100 \(\int \genfrac {}{}{}{}{a+b x}{(1+x)^3 (1-x+x^2)^3} \, dx\) [2300]