\(\int (1+x)^{3/2} (a+b x) (1-x+x^2)^{3/2} \, dx\) [2301]
   \(\int \sqrt {1+x} (a+b x) \sqrt {1-x+x^2} \, dx\) [2302]
   \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {1+x} \sqrt {1-x+x^2}} \, dx\) [2303]
   \(\int \genfrac {}{}{}{}{a+b x}{(1+x)^{3/2} (1-x+x^2)^{3/2}} \, dx\) [2304]
   \(\int \genfrac {}{}{}{}{a+b x}{(1+x)^{5/2} (1-x+x^2)^{5/2}} \, dx\) [2305]
   \(\int (A+B x) (d+e x)^4 (a+b x+c x^2) \, dx\) [2306]
   \(\int (A+B x) (d+e x)^3 (a+b x+c x^2) \, dx\) [2307]
   \(\int (A+B x) (d+e x)^2 (a+b x+c x^2) \, dx\) [2308]
   \(\int (A+B x) (d+e x) (a+b x+c x^2) \, dx\) [2309]
   \(\int (A+B x) (a+b x+c x^2) \, dx\) [2310]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{d+e x} \, dx\) [2311]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^2} \, dx\) [2312]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^3} \, dx\) [2313]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^4} \, dx\) [2314]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^5} \, dx\) [2315]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^6} \, dx\) [2316]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^7} \, dx\) [2317]
   \(\int (A+B x) (d+e x)^5 (a+b x+c x^2)^2 \, dx\) [2318]
   \(\int (A+B x) (d+e x)^4 (a+b x+c x^2)^2 \, dx\) [2319]
   \(\int (A+B x) (d+e x)^3 (a+b x+c x^2)^2 \, dx\) [2320]
   \(\int (A+B x) (d+e x)^2 (a+b x+c x^2)^2 \, dx\) [2321]
   \(\int (A+B x) (d+e x) (a+b x+c x^2)^2 \, dx\) [2322]
   \(\int (A+B x) (a+b x+c x^2)^2 \, dx\) [2323]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{d+e x} \, dx\) [2324]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^2} \, dx\) [2325]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^3} \, dx\) [2326]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^4} \, dx\) [2327]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^5} \, dx\) [2328]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^6} \, dx\) [2329]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^7} \, dx\) [2330]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^8} \, dx\) [2331]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^9} \, dx\) [2332]
   \(\int (A+B x) (d+e x)^5 (a+b x+c x^2)^3 \, dx\) [2333]
   \(\int (A+B x) (d+e x)^4 (a+b x+c x^2)^3 \, dx\) [2334]
   \(\int (A+B x) (d+e x)^3 (a+b x+c x^2)^3 \, dx\) [2335]
   \(\int (A+B x) (d+e x)^2 (a+b x+c x^2)^3 \, dx\) [2336]
   \(\int (A+B x) (d+e x) (a+b x+c x^2)^3 \, dx\) [2337]
   \(\int (A+B x) (a+b x+c x^2)^3 \, dx\) [2338]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{d+e x} \, dx\) [2339]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^2} \, dx\) [2340]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^3} \, dx\) [2341]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^4} \, dx\) [2342]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^5} \, dx\) [2343]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^6} \, dx\) [2344]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^7} \, dx\) [2345]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^8} \, dx\) [2346]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^9} \, dx\) [2347]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\) [2348]
   \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^{11}} \, dx\) [2349]
   \(\int x (d+e x)^m (a+b x+c x^2) \, dx\) [2350]
   \(\int x (d+e x)^5 (a+b x+c x^2) \, dx\) [2351]
   \(\int x (d+e x)^4 (a+b x+c x^2) \, dx\) [2352]
   \(\int x (d+e x)^3 (a+b x+c x^2) \, dx\) [2353]
   \(\int x (d+e x)^2 (a+b x+c x^2) \, dx\) [2354]
   \(\int x (d+e x) (a+b x+c x^2) \, dx\) [2355]
   \(\int x (a+b x+c x^2) \, dx\) [2356]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{d+e x} \, dx\) [2357]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^2} \, dx\) [2358]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^3} \, dx\) [2359]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^4} \, dx\) [2360]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^5} \, dx\) [2361]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^6} \, dx\) [2362]
   \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^7} \, dx\) [2363]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^3}{a+b x+c x^2} \, dx\) [2364]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^2}{a+b x+c x^2} \, dx\) [2365]
   \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)}{a+b x+c x^2} \, dx\) [2366]
   \(\int \genfrac {}{}{}{}{A+B x}{a+b x+c x^2} \, dx\) [2367]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x) (a+b x+c x^2)} \, dx\) [2368]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^2 (a+b x+c x^2)} \, dx\) [2369]
   \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^3 (a+b x+c x^2)} \, dx\) [2370]
   \(\int \genfrac {}{}{}{}{(d+e x)^4 (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2371]
   \(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2372]
   \(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2373]
   \(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2374]
   \(\int \genfrac {}{}{}{}{f+g x}{(a+b x+c x^2)^3} \, dx\) [2375]
   \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) (a+b x+c x^2)^3} \, dx\) [2376]
   \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 (a+b x+c x^2)^3} \, dx\) [2377]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{2+5 x+3 x^2} \, dx\) [2378]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{2+5 x+3 x^2} \, dx\) [2379]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{2+5 x+3 x^2} \, dx\) [2380]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{2+5 x+3 x^2} \, dx\) [2381]
   \(\int \genfrac {}{}{}{}{5-x}{2+5 x+3 x^2} \, dx\) [2382]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) (2+5 x+3 x^2)} \, dx\) [2383]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 (2+5 x+3 x^2)} \, dx\) [2384]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 (2+5 x+3 x^2)} \, dx\) [2385]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 (2+5 x+3 x^2)} \, dx\) [2386]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{(2+5 x+3 x^2)^2} \, dx\) [2387]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{(2+5 x+3 x^2)^2} \, dx\) [2388]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{(2+5 x+3 x^2)^2} \, dx\) [2389]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{(2+5 x+3 x^2)^2} \, dx\) [2390]
   \(\int \genfrac {}{}{}{}{5-x}{(2+5 x+3 x^2)^2} \, dx\) [2391]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) (2+5 x+3 x^2)^2} \, dx\) [2392]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 (2+5 x+3 x^2)^2} \, dx\) [2393]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 (2+5 x+3 x^2)^2} \, dx\) [2394]
   \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 (2+5 x+3 x^2)^2} \, dx\) [2395]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^5}{(2+5 x+3 x^2)^3} \, dx\) [2396]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{(2+5 x+3 x^2)^3} \, dx\) [2397]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{(2+5 x+3 x^2)^3} \, dx\) [2398]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{(2+5 x+3 x^2)^3} \, dx\) [2399]
   \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{(2+5 x+3 x^2)^3} \, dx\) [2400]