3.24 Integrals 2301 to 2400

  3.24.1 \(\int \genfrac {}{}{}{}{1}{x^{5/2} (a+b x+c x^2)^2} \, dx\) [2301]
  3.24.2 \(\int \genfrac {}{}{}{}{(d+e x)^{7/2}}{(a+b x+c x^2)^3} \, dx\) [2302]
  3.24.3 \(\int \genfrac {}{}{}{}{(d+e x)^{5/2}}{(a+b x+c x^2)^3} \, dx\) [2303]
  3.24.4 \(\int \genfrac {}{}{}{}{(d+e x)^{3/2}}{(a+b x+c x^2)^3} \, dx\) [2304]
  3.24.5 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{(a+b x+c x^2)^3} \, dx\) [2305]
  3.24.6 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+b x+c x^2)^3} \, dx\) [2306]
  3.24.7 \(\int \genfrac {}{}{}{}{\sqrt {d+e x}}{a+i b x+c x^2} \, dx\) [2307]
  3.24.8 \(\int \genfrac {}{}{}{}{1}{\sqrt {d+e x} (a+i b x+c x^2)} \, dx\) [2308]
  3.24.9 \(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{2+3 x+5 x^2} \, dx\) [2309]
  3.24.10 \(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{2+3 x+5 x^2} \, dx\) [2310]
  3.24.11 \(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{2+3 x+5 x^2} \, dx\) [2311]
  3.24.12 \(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{2+3 x+5 x^2} \, dx\) [2312]
  3.24.13 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (2+3 x+5 x^2)} \, dx\) [2313]
  3.24.14 \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (2+3 x+5 x^2)} \, dx\) [2314]
  3.24.15 \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{5/2} (2+3 x+5 x^2)} \, dx\) [2315]
  3.24.16 \(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{(2+3 x+5 x^2)^2} \, dx\) [2316]
  3.24.17 \(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\) [2317]
  3.24.18 \(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\) [2318]
  3.24.19 \(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{(2+3 x+5 x^2)^2} \, dx\) [2319]
  3.24.20 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (2+3 x+5 x^2)^2} \, dx\) [2320]
  3.24.21 \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^2} \, dx\) [2321]
  3.24.22 \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{5/2} (2+3 x+5 x^2)^2} \, dx\) [2322]
  3.24.23 \(\int \genfrac {}{}{}{}{(1+2 x)^{9/2}}{(2+3 x+5 x^2)^3} \, dx\) [2323]
  3.24.24 \(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{(2+3 x+5 x^2)^3} \, dx\) [2324]
  3.24.25 \(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\) [2325]
  3.24.26 \(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\) [2326]
  3.24.27 \(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{(2+3 x+5 x^2)^3} \, dx\) [2327]
  3.24.28 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (2+3 x+5 x^2)^3} \, dx\) [2328]
  3.24.29 \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^3} \, dx\) [2329]
  3.24.30 \(\int \genfrac {}{}{}{}{x^{9/2}}{(a+b x+c x^2)^3} \, dx\) [2330]
  3.24.31 \(\int \genfrac {}{}{}{}{1}{x^{3/2} (a+b x+c x^2)^3} \, dx\) [2331]
  3.24.32 \(\int \genfrac {}{}{}{}{3-x+x^2}{\sqrt [3]{x}} \, dx\) [2332]
  3.24.33 \(\int (d+e x)^3 \sqrt {a+b x+c x^2} \, dx\) [2333]
  3.24.34 \(\int (d+e x)^2 \sqrt {a+b x+c x^2} \, dx\) [2334]
  3.24.35 \(\int (d+e x) \sqrt {a+b x+c x^2} \, dx\) [2335]
  3.24.36 \(\int \sqrt {a+b x+c x^2} \, dx\) [2336]
  3.24.37 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{d+e x} \, dx\) [2337]
  3.24.38 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^2} \, dx\) [2338]
  3.24.39 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^3} \, dx\) [2339]
  3.24.40 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^4} \, dx\) [2340]
  3.24.41 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^5} \, dx\) [2341]
  3.24.42 \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(d+e x)^6} \, dx\) [2342]
  3.24.43 \(\int (d+e x)^3 (a+b x+c x^2)^{3/2} \, dx\) [2343]
  3.24.44 \(\int (d+e x)^2 (a+b x+c x^2)^{3/2} \, dx\) [2344]
  3.24.45 \(\int (d+e x) (a+b x+c x^2)^{3/2} \, dx\) [2345]
  3.24.46 \(\int (a+b x+c x^2)^{3/2} \, dx\) [2346]
  3.24.47 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{d+e x} \, dx\) [2347]
  3.24.48 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^2} \, dx\) [2348]
  3.24.49 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^3} \, dx\) [2349]
  3.24.50 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^4} \, dx\) [2350]
  3.24.51 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^5} \, dx\) [2351]
  3.24.52 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^6} \, dx\) [2352]
  3.24.53 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^7} \, dx\) [2353]
  3.24.54 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(d+e x)^8} \, dx\) [2354]
  3.24.55 \(\int (d+e x)^3 (a+b x+c x^2)^{5/2} \, dx\) [2355]
  3.24.56 \(\int (d+e x)^2 (a+b x+c x^2)^{5/2} \, dx\) [2356]
  3.24.57 \(\int (d+e x) (a+b x+c x^2)^{5/2} \, dx\) [2357]
  3.24.58 \(\int (a+b x+c x^2)^{5/2} \, dx\) [2358]
  3.24.59 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{d+e x} \, dx\) [2359]
  3.24.60 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^2} \, dx\) [2360]
  3.24.61 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^3} \, dx\) [2361]
  3.24.62 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^4} \, dx\) [2362]
  3.24.63 \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(d+e x)^5} \, dx\) [2363]
  3.24.64 \(\int \genfrac {}{}{}{}{\sqrt {-2-3 x+5 x^2}}{x} \, dx\) [2364]
  3.24.65 \(\int \genfrac {}{}{}{}{\sqrt {2-x-x^2}}{x^2} \, dx\) [2365]
  3.24.66 \(\int (1+x)^3 \sqrt {2+2 x+x^2} \, dx\) [2366]
  3.24.67 \(\int (-2+3 x) \sqrt {8+12 x+9 x^2} \, dx\) [2367]
  3.24.68 \(\int (7-2 x) \sqrt {9+16 x-4 x^2} \, dx\) [2368]
  3.24.69 \(\int \genfrac {}{}{}{}{\sqrt {-1-x+x^2}}{1+x} \, dx\) [2369]
  3.24.70 \(\int \genfrac {}{}{}{}{\sqrt {-1-x+x^2}}{1-x} \, dx\) [2370]
  3.24.71 \(\int \genfrac {}{}{}{}{x^6}{\sqrt {a+b x+c x^2}} \, dx\) [2371]
  3.24.72 \(\int \genfrac {}{}{}{}{x^5}{\sqrt {a+b x+c x^2}} \, dx\) [2372]
  3.24.73 \(\int \genfrac {}{}{}{}{(d+e x)^4}{\sqrt {a+b x+c x^2}} \, dx\) [2373]
  3.24.74 \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {a+b x+c x^2}} \, dx\) [2374]
  3.24.75 \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {a+b x+c x^2}} \, dx\) [2375]
  3.24.76 \(\int \genfrac {}{}{}{}{d+e x}{\sqrt {a+b x+c x^2}} \, dx\) [2376]
  3.24.77 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x+c x^2}} \, dx\) [2377]
  3.24.78 \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {a+b x+c x^2}} \, dx\) [2378]
  3.24.79 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {a+b x+c x^2}} \, dx\) [2379]
  3.24.80 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {a+b x+c x^2}} \, dx\) [2380]
  3.24.81 \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 \sqrt {a+b x+c x^2}} \, dx\) [2381]
  3.24.82 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^{3/2}} \, dx\) [2382]
  3.24.83 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{3/2}} \, dx\) [2383]
  3.24.84 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{3/2}} \, dx\) [2384]
  3.24.85 \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{3/2}} \, dx\) [2385]
  3.24.86 \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{3/2}} \, dx\) [2386]
  3.24.87 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{3/2}} \, dx\) [2387]
  3.24.88 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{3/2}} \, dx\) [2388]
  3.24.89 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{3/2}} \, dx\) [2389]
  3.24.90 \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 (a+b x+c x^2)^{3/2}} \, dx\) [2390]
  3.24.91 \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a+b x+c x^2)^{5/2}} \, dx\) [2391]
  3.24.92 \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a+b x+c x^2)^{5/2}} \, dx\) [2392]
  3.24.93 \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a+b x+c x^2)^{5/2}} \, dx\) [2393]
  3.24.94 \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a+b x+c x^2)^{5/2}} \, dx\) [2394]
  3.24.95 \(\int \genfrac {}{}{}{}{d+e x}{(a+b x+c x^2)^{5/2}} \, dx\) [2395]
  3.24.96 \(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2)^{5/2}} \, dx\) [2396]
  3.24.97 \(\int \genfrac {}{}{}{}{1}{(d+e x) (a+b x+c x^2)^{5/2}} \, dx\) [2397]
  3.24.98 \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a+b x+c x^2)^{5/2}} \, dx\) [2398]
  3.24.99 \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a+b x+c x^2)^{5/2}} \, dx\) [2399]
  3.24.100 \(\int \genfrac {}{}{}{}{3+x}{\sqrt {5-4 x-x^2}} \, dx\) [2400]