3.24 Integrals 2301 to 2400

3.24.1 \(\int (1+x)^{3/2} (a+b x) (1-x+x^2)^{3/2} \, dx\) [2301]
3.24.2 \(\int \sqrt {1+x} (a+b x) \sqrt {1-x+x^2} \, dx\) [2302]
3.24.3 \(\int \genfrac {}{}{}{}{a+b x}{\sqrt {1+x} \sqrt {1-x+x^2}} \, dx\) [2303]
3.24.4 \(\int \genfrac {}{}{}{}{a+b x}{(1+x)^{3/2} (1-x+x^2)^{3/2}} \, dx\) [2304]
3.24.5 \(\int \genfrac {}{}{}{}{a+b x}{(1+x)^{5/2} (1-x+x^2)^{5/2}} \, dx\) [2305]
3.24.6 \(\int (A+B x) (d+e x)^4 (a+b x+c x^2) \, dx\) [2306]
3.24.7 \(\int (A+B x) (d+e x)^3 (a+b x+c x^2) \, dx\) [2307]
3.24.8 \(\int (A+B x) (d+e x)^2 (a+b x+c x^2) \, dx\) [2308]
3.24.9 \(\int (A+B x) (d+e x) (a+b x+c x^2) \, dx\) [2309]
3.24.10 \(\int (A+B x) (a+b x+c x^2) \, dx\) [2310]
3.24.11 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{d+e x} \, dx\) [2311]
3.24.12 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^2} \, dx\) [2312]
3.24.13 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^3} \, dx\) [2313]
3.24.14 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^4} \, dx\) [2314]
3.24.15 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^5} \, dx\) [2315]
3.24.16 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^6} \, dx\) [2316]
3.24.17 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)}{(d+e x)^7} \, dx\) [2317]
3.24.18 \(\int (A+B x) (d+e x)^5 (a+b x+c x^2)^2 \, dx\) [2318]
3.24.19 \(\int (A+B x) (d+e x)^4 (a+b x+c x^2)^2 \, dx\) [2319]
3.24.20 \(\int (A+B x) (d+e x)^3 (a+b x+c x^2)^2 \, dx\) [2320]
3.24.21 \(\int (A+B x) (d+e x)^2 (a+b x+c x^2)^2 \, dx\) [2321]
3.24.22 \(\int (A+B x) (d+e x) (a+b x+c x^2)^2 \, dx\) [2322]
3.24.23 \(\int (A+B x) (a+b x+c x^2)^2 \, dx\) [2323]
3.24.24 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{d+e x} \, dx\) [2324]
3.24.25 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^2} \, dx\) [2325]
3.24.26 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^3} \, dx\) [2326]
3.24.27 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^4} \, dx\) [2327]
3.24.28 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^5} \, dx\) [2328]
3.24.29 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^6} \, dx\) [2329]
3.24.30 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^7} \, dx\) [2330]
3.24.31 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^8} \, dx\) [2331]
3.24.32 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^2}{(d+e x)^9} \, dx\) [2332]
3.24.33 \(\int (A+B x) (d+e x)^5 (a+b x+c x^2)^3 \, dx\) [2333]
3.24.34 \(\int (A+B x) (d+e x)^4 (a+b x+c x^2)^3 \, dx\) [2334]
3.24.35 \(\int (A+B x) (d+e x)^3 (a+b x+c x^2)^3 \, dx\) [2335]
3.24.36 \(\int (A+B x) (d+e x)^2 (a+b x+c x^2)^3 \, dx\) [2336]
3.24.37 \(\int (A+B x) (d+e x) (a+b x+c x^2)^3 \, dx\) [2337]
3.24.38 \(\int (A+B x) (a+b x+c x^2)^3 \, dx\) [2338]
3.24.39 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{d+e x} \, dx\) [2339]
3.24.40 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^2} \, dx\) [2340]
3.24.41 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^3} \, dx\) [2341]
3.24.42 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^4} \, dx\) [2342]
3.24.43 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^5} \, dx\) [2343]
3.24.44 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^6} \, dx\) [2344]
3.24.45 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^7} \, dx\) [2345]
3.24.46 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^8} \, dx\) [2346]
3.24.47 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^9} \, dx\) [2347]
3.24.48 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\) [2348]
3.24.49 \(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{(d+e x)^{11}} \, dx\) [2349]
3.24.50 \(\int x (d+e x)^m (a+b x+c x^2) \, dx\) [2350]
3.24.51 \(\int x (d+e x)^5 (a+b x+c x^2) \, dx\) [2351]
3.24.52 \(\int x (d+e x)^4 (a+b x+c x^2) \, dx\) [2352]
3.24.53 \(\int x (d+e x)^3 (a+b x+c x^2) \, dx\) [2353]
3.24.54 \(\int x (d+e x)^2 (a+b x+c x^2) \, dx\) [2354]
3.24.55 \(\int x (d+e x) (a+b x+c x^2) \, dx\) [2355]
3.24.56 \(\int x (a+b x+c x^2) \, dx\) [2356]
3.24.57 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{d+e x} \, dx\) [2357]
3.24.58 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^2} \, dx\) [2358]
3.24.59 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^3} \, dx\) [2359]
3.24.60 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^4} \, dx\) [2360]
3.24.61 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^5} \, dx\) [2361]
3.24.62 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^6} \, dx\) [2362]
3.24.63 \(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{(d+e x)^7} \, dx\) [2363]
3.24.64 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^3}{a+b x+c x^2} \, dx\) [2364]
3.24.65 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)^2}{a+b x+c x^2} \, dx\) [2365]
3.24.66 \(\int \genfrac {}{}{}{}{(A+B x) (d+e x)}{a+b x+c x^2} \, dx\) [2366]
3.24.67 \(\int \genfrac {}{}{}{}{A+B x}{a+b x+c x^2} \, dx\) [2367]
3.24.68 \(\int \genfrac {}{}{}{}{A+B x}{(d+e x) (a+b x+c x^2)} \, dx\) [2368]
3.24.69 \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^2 (a+b x+c x^2)} \, dx\) [2369]
3.24.70 \(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^3 (a+b x+c x^2)} \, dx\) [2370]
3.24.71 \(\int \genfrac {}{}{}{}{(d+e x)^4 (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2371]
3.24.72 \(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2372]
3.24.73 \(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2373]
3.24.74 \(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{(a+b x+c x^2)^3} \, dx\) [2374]
3.24.75 \(\int \genfrac {}{}{}{}{f+g x}{(a+b x+c x^2)^3} \, dx\) [2375]
3.24.76 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x) (a+b x+c x^2)^3} \, dx\) [2376]
3.24.77 \(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 (a+b x+c x^2)^3} \, dx\) [2377]
3.24.78 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{2+5 x+3 x^2} \, dx\) [2378]
3.24.79 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{2+5 x+3 x^2} \, dx\) [2379]
3.24.80 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{2+5 x+3 x^2} \, dx\) [2380]
3.24.81 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{2+5 x+3 x^2} \, dx\) [2381]
3.24.82 \(\int \genfrac {}{}{}{}{5-x}{2+5 x+3 x^2} \, dx\) [2382]
3.24.83 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) (2+5 x+3 x^2)} \, dx\) [2383]
3.24.84 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 (2+5 x+3 x^2)} \, dx\) [2384]
3.24.85 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 (2+5 x+3 x^2)} \, dx\) [2385]
3.24.86 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 (2+5 x+3 x^2)} \, dx\) [2386]
3.24.87 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{(2+5 x+3 x^2)^2} \, dx\) [2387]
3.24.88 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{(2+5 x+3 x^2)^2} \, dx\) [2388]
3.24.89 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{(2+5 x+3 x^2)^2} \, dx\) [2389]
3.24.90 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{(2+5 x+3 x^2)^2} \, dx\) [2390]
3.24.91 \(\int \genfrac {}{}{}{}{5-x}{(2+5 x+3 x^2)^2} \, dx\) [2391]
3.24.92 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x) (2+5 x+3 x^2)^2} \, dx\) [2392]
3.24.93 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^2 (2+5 x+3 x^2)^2} \, dx\) [2393]
3.24.94 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^3 (2+5 x+3 x^2)^2} \, dx\) [2394]
3.24.95 \(\int \genfrac {}{}{}{}{5-x}{(3+2 x)^4 (2+5 x+3 x^2)^2} \, dx\) [2395]
3.24.96 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^5}{(2+5 x+3 x^2)^3} \, dx\) [2396]
3.24.97 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^4}{(2+5 x+3 x^2)^3} \, dx\) [2397]
3.24.98 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^3}{(2+5 x+3 x^2)^3} \, dx\) [2398]
3.24.99 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)^2}{(2+5 x+3 x^2)^3} \, dx\) [2399]
3.24.100 \(\int \genfrac {}{}{}{}{(5-x) (3+2 x)}{(2+5 x+3 x^2)^3} \, dx\) [2400]