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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]
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