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