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3.23
Integrals 2201 to 2300
3.23.1
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^4} \, dx\) [2201]
3.23.2
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^5} \, dx\) [2202]
3.23.3
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^6} \, dx\) [2203]
3.23.4
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^7} \, dx\) [2204]
3.23.5
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^8} \, dx\) [2205]
3.23.6
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^9} \, dx\) [2206]
3.23.7
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [2207]
3.23.8
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\) [2208]
3.23.9
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2209]
3.23.10
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2210]
3.23.11
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2211]
3.23.12
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2212]
3.23.13
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2213]
3.23.14
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^3 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2214]
3.23.15
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^4 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2215]
3.23.16
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^5 \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2216]
3.23.17
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2217]
3.23.18
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2218]
3.23.19
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2219]
3.23.20
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2220]
3.23.21
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2221]
3.23.22
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^3 (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2222]
3.23.23
\(\int \genfrac {}{}{}{}{(d+e x)^5 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2223]
3.23.24
\(\int \genfrac {}{}{}{}{(d+e x)^4 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2224]
3.23.25
\(\int \genfrac {}{}{}{}{(d+e x)^3 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2225]
3.23.26
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2226]
3.23.27
\(\int \genfrac {}{}{}{}{(d+e x) (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2227]
3.23.28
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2228]
3.23.29
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^2 (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2229]
3.23.30
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^3 (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2230]
3.23.31
\(\int (d+e x)^{5/2} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2231]
3.23.32
\(\int (d+e x)^{3/2} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2232]
3.23.33
\(\int \sqrt {d+e x} (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2233]
3.23.34
\(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{\sqrt {d+e x}} \, dx\) [2234]
3.23.35
\(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{3/2}} \, dx\) [2235]
3.23.36
\(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{5/2}} \, dx\) [2236]
3.23.37
\(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{7/2}} \, dx\) [2237]
3.23.38
\(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{9/2}} \, dx\) [2238]
3.23.39
\(\int \genfrac {}{}{}{}{(f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}}{(d+e x)^{11/2}} \, dx\) [2239]
3.23.40
\(\int (d+e x)^{5/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2240]
3.23.41
\(\int (d+e x)^{3/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2241]
3.23.42
\(\int \sqrt {d+e x} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2242]
3.23.43
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\) [2243]
3.23.44
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\) [2244]
3.23.45
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\) [2245]
3.23.46
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\) [2246]
3.23.47
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\) [2247]
3.23.48
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\) [2248]
3.23.49
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\) [2249]
3.23.50
\(\int (d+e x)^{5/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2250]
3.23.51
\(\int (d+e x)^{3/2} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2251]
3.23.52
\(\int \sqrt {d+e x} (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2252]
3.23.53
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{\sqrt {d+e x}} \, dx\) [2253]
3.23.54
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{3/2}} \, dx\) [2254]
3.23.55
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{5/2}} \, dx\) [2255]
3.23.56
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{7/2}} \, dx\) [2256]
3.23.57
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{9/2}} \, dx\) [2257]
3.23.58
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{11/2}} \, dx\) [2258]
3.23.59
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{13/2}} \, dx\) [2259]
3.23.60
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{15/2}} \, dx\) [2260]
3.23.61
\(\int \genfrac {}{}{}{}{(f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}}{(d+e x)^{17/2}} \, dx\) [2261]
3.23.62
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2262]
3.23.63
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2263]
3.23.64
\(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2264]
3.23.65
\(\int \genfrac {}{}{}{}{f+g x}{\sqrt {d+e x} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2265]
3.23.66
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{3/2} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2266]
3.23.67
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{5/2} \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2267]
3.23.68
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2268]
3.23.69
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2269]
3.23.70
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2270]
3.23.71
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2271]
3.23.72
\(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2272]
3.23.73
\(\int \genfrac {}{}{}{}{f+g x}{\sqrt {d+e x} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2273]
3.23.74
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{3/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2274]
3.23.75
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{5/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2275]
3.23.76
\(\int \genfrac {}{}{}{}{(d+e x)^{13/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2276]
3.23.77
\(\int \genfrac {}{}{}{}{(d+e x)^{11/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2277]
3.23.78
\(\int \genfrac {}{}{}{}{(d+e x)^{9/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2278]
3.23.79
\(\int \genfrac {}{}{}{}{(d+e x)^{7/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2279]
3.23.80
\(\int \genfrac {}{}{}{}{(d+e x)^{5/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2280]
3.23.81
\(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2281]
3.23.82
\(\int \genfrac {}{}{}{}{\sqrt {d+e x} (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2282]
3.23.83
\(\int \genfrac {}{}{}{}{f+g x}{\sqrt {d+e x} (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2283]
3.23.84
\(\int \genfrac {}{}{}{}{f+g x}{(d+e x)^{3/2} (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2284]
3.23.85
\(\int (d+e x)^m (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2} \, dx\) [2285]
3.23.86
\(\int (d+e x)^m (f+g x) (c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2} \, dx\) [2286]
3.23.87
\(\int (d+e x)^m (f+g x) \sqrt {c d^2-b d e-b e^2 x-c e^2 x^2} \, dx\) [2287]
3.23.88
\(\int \genfrac {}{}{}{}{(d+e x)^m (f+g x)}{\sqrt {c d^2-b d e-b e^2 x-c e^2 x^2}} \, dx\) [2288]
3.23.89
\(\int \genfrac {}{}{}{}{(d+e x)^m (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{3/2}} \, dx\) [2289]
3.23.90
\(\int \genfrac {}{}{}{}{(d+e x)^m (f+g x)}{(c d^2-b d e-b e^2 x-c e^2 x^2)^{5/2}} \, dx\) [2290]
3.23.91
\(\int (d+e x)^m (c d m-b e (1+m+p)-c e (2+m+2 p) x) (c d^2-b d e-b e^2 x-c e^2 x^2)^p \, dx\) [2291]
3.23.92
\(\int (d+e x)^{-3-2 p} (f+g x) (d (e f+d g+d g p)+e (e f+3 d g+2 d g p) x+e^2 g (2+p) x^2)^p \, dx\) [2292]
3.23.93
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(c f^2-b f g-b g^2 x-c g^2 x^2)^2} \, dx\) [2293]
3.23.94
\(\int (1+x)^4 (a+b x) (1-x+x^2)^4 \, dx\) [2294]
3.23.95
\(\int (1+x)^3 (a+b x) (1-x+x^2)^3 \, dx\) [2295]
3.23.96
\(\int (1+x)^2 (a+b x) (1-x+x^2)^2 \, dx\) [2296]
3.23.97
\(\int (1+x) (a+b x) (1-x+x^2) \, dx\) [2297]
3.23.98
\(\int \genfrac {}{}{}{}{a+b x}{(1+x) (1-x+x^2)} \, dx\) [2298]
3.23.99
\(\int \genfrac {}{}{}{}{a+b x}{(1+x)^2 (1-x+x^2)^2} \, dx\) [2299]
3.23.100
\(\int \genfrac {}{}{}{}{a+b x}{(1+x)^3 (1-x+x^2)^3} \, dx\) [2300]
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