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3.20
Integrals 1901 to 2000
3.20.1
\(\int \frac {1}{(1+2 x)^2 (2+3 x+5 x^2)^4} \, dx\)
3.20.2
\(\int \frac {7-3 x}{-5+2 x+x^2} \, dx\)
3.20.3
\(\int \frac {1}{(-1+x) (1+x+x^2)} \, dx\)
3.20.4
\(\int \frac {2 ((\frac {a}{b})^{\frac {1}{n}}-x \cos (\frac {(-1+2 k) \pi }{n}))}{(\frac {a}{b})^{2/n}+x^2-2 (\frac {a}{b})^{\frac {1}{n}} x \cos (\frac {(-1+2 k) \pi }{n})} \, dx\)
3.20.5
\(\int \frac {x^4}{2+13 x+15 x^2} \, dx\)
3.20.6
\(\int \frac {x^3}{2+13 x+15 x^2} \, dx\)
3.20.7
\(\int \frac {x^2}{2+13 x+15 x^2} \, dx\)
3.20.8
\(\int \frac {x}{2+13 x+15 x^2} \, dx\)
3.20.9
\(\int \frac {1}{2+13 x+15 x^2} \, dx\)
3.20.10
\(\int \frac {1}{x (2+13 x+15 x^2)} \, dx\)
3.20.11
\(\int \frac {1}{x^2 (2+13 x+15 x^2)} \, dx\)
3.20.12
\(\int \frac {1}{x^3 (2+13 x+15 x^2)} \, dx\)
3.20.13
\(\int \frac {1}{x^4 (2+13 x+15 x^2)} \, dx\)
3.20.14
\(\int \frac {x^5}{2 x+13 x^2+15 x^3} \, dx\)
3.20.15
\(\int \frac {x^4}{2 x+13 x^2+15 x^3} \, dx\)
3.20.16
\(\int \frac {x^3}{2 x+13 x^2+15 x^3} \, dx\)
3.20.17
\(\int \frac {x^2}{2 x+13 x^2+15 x^3} \, dx\)
3.20.18
\(\int \frac {x}{2 x+13 x^2+15 x^3} \, dx\)
3.20.19
\(\int \frac {1}{2 x+13 x^2+15 x^3} \, dx\)
3.20.20
\(\int \frac {1}{x (2 x+13 x^2+15 x^3)} \, dx\)
3.20.21
\(\int \frac {1}{x^2 (2 x+13 x^2+15 x^3)} \, dx\)
3.20.22
\(\int \frac {1}{x^3 (2 x+13 x^2+15 x^3)} \, dx\)
3.20.23
\(\int \frac {x}{4+4 x+x^2} \, dx\)
3.20.24
\(\int \frac {x}{5+2 x+x^2} \, dx\)
3.20.25
\(\int \frac {x}{6-5 x+x^2} \, dx\)
3.20.26
\(\int \frac {x}{(2+2 x+x^2)^2} \, dx\)
3.20.27
\(\int \frac {x}{(1+x+x^2)^3} \, dx\)
3.20.28
\(\int \frac {x^2}{1+x+x^2} \, dx\)
3.20.29
\(\int \frac {x^2}{2-3 x+x^2} \, dx\)
3.20.30
\(\int \frac {x^2}{-6+x+x^2} \, dx\)
3.20.31
\(\int \frac {x^2}{(2+2 x+x^2)^2} \, dx\)
3.20.32
\(\int \frac {x^3}{2-3 x+x^2} \, dx\)
3.20.33
\(\int \frac {x^3}{1+2 x+x^2} \, dx\)
3.20.34
\(\int \frac {x^3}{1-2 x+x^2} \, dx\)
3.20.35
\(\int \frac {x^4}{4+4 x+x^2} \, dx\)
3.20.36
\(\int \frac {1}{x (1+x+x^2)} \, dx\)
3.20.37
\(\int (d+e x)^{5/2} (a+b x+c x^2) \, dx\)
3.20.38
\(\int (d+e x)^{3/2} (a+b x+c x^2) \, dx\)
3.20.39
\(\int \sqrt {d+e x} (a+b x+c x^2) \, dx\)
3.20.40
\(\int \frac {a+b x+c x^2}{\sqrt {d+e x}} \, dx\)
3.20.41
\(\int \frac {a+b x+c x^2}{(d+e x)^{3/2}} \, dx\)
3.20.42
\(\int \frac {a+b x+c x^2}{(d+e x)^{5/2}} \, dx\)
3.20.43
\(\int \frac {a+b x+c x^2}{(d+e x)^{7/2}} \, dx\)
3.20.44
\(\int (d+e x)^{5/2} (a+b x+c x^2)^2 \, dx\)
3.20.45
\(\int (d+e x)^{3/2} (a+b x+c x^2)^2 \, dx\)
3.20.46
\(\int \sqrt {d+e x} (a+b x+c x^2)^2 \, dx\)
3.20.47
\(\int \frac {(a+b x+c x^2)^2}{\sqrt {d+e x}} \, dx\)
3.20.48
\(\int \frac {(a+b x+c x^2)^2}{(d+e x)^{3/2}} \, dx\)
3.20.49
\(\int \frac {(a+b x+c x^2)^2}{(d+e x)^{5/2}} \, dx\)
3.20.50
\(\int \frac {(a+b x+c x^2)^2}{(d+e x)^{7/2}} \, dx\)
3.20.51
\(\int (d+e x)^{5/2} (a+b x+c x^2)^3 \, dx\)
3.20.52
\(\int (d+e x)^{3/2} (a+b x+c x^2)^3 \, dx\)
3.20.53
\(\int \sqrt {d+e x} (a+b x+c x^2)^3 \, dx\)
3.20.54
\(\int \frac {(a+b x+c x^2)^3}{\sqrt {d+e x}} \, dx\)
3.20.55
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{3/2}} \, dx\)
3.20.56
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{5/2}} \, dx\)
3.20.57
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{7/2}} \, dx\)
3.20.58
\(\int \frac {(d+e x)^{5/2}}{a+b x+c x^2} \, dx\)
3.20.59
\(\int \frac {(d+e x)^{3/2}}{a+b x+c x^2} \, dx\)
3.20.60
\(\int \frac {\sqrt {d+e x}}{a+b x+c x^2} \, dx\)
3.20.61
\(\int \frac {1}{\sqrt {d+e x} (a+b x+c x^2)} \, dx\)
3.20.62
\(\int \frac {1}{(d+e x)^{3/2} (a+b x+c x^2)} \, dx\)
3.20.63
\(\int \frac {1}{(d+e x)^{5/2} (a+b x+c x^2)} \, dx\)
3.20.64
\(\int \frac {(d+e x)^{7/2}}{(a+b x+c x^2)^2} \, dx\)
3.20.65
\(\int \frac {(d+e x)^{5/2}}{(a+b x+c x^2)^2} \, dx\)
3.20.66
\(\int \frac {(d+e x)^{3/2}}{(a+b x+c x^2)^2} \, dx\)
3.20.67
\(\int \frac {\sqrt {d+e x}}{(a+b x+c x^2)^2} \, dx\)
3.20.68
\(\int \frac {1}{\sqrt {d+e x} (a+b x+c x^2)^2} \, dx\)
3.20.69
\(\int \frac {1}{(d+e x)^{3/2} (a+b x+c x^2)^2} \, dx\)
3.20.70
\(\int \frac {1}{x^{5/2} (a+b x+c x^2)^2} \, dx\)
3.20.71
\(\int \frac {(d+e x)^{7/2}}{(a+b x+c x^2)^3} \, dx\)
3.20.72
\(\int \frac {(d+e x)^{5/2}}{(a+b x+c x^2)^3} \, dx\)
3.20.73
\(\int \frac {(d+e x)^{3/2}}{(a+b x+c x^2)^3} \, dx\)
3.20.74
\(\int \frac {\sqrt {d+e x}}{(a+b x+c x^2)^3} \, dx\)
3.20.75
\(\int \frac {1}{\sqrt {d+e x} (a+b x+c x^2)^3} \, dx\)
3.20.76
\(\int \frac {\sqrt {d+e x}}{a+i b x+c x^2} \, dx\)
3.20.77
\(\int \frac {1}{\sqrt {d+e x} (a+i b x+c x^2)} \, dx\)
3.20.78
\(\int \frac {(1+2 x)^{7/2}}{2+3 x+5 x^2} \, dx\)
3.20.79
\(\int \frac {(1+2 x)^{5/2}}{2+3 x+5 x^2} \, dx\)
3.20.80
\(\int \frac {(1+2 x)^{3/2}}{2+3 x+5 x^2} \, dx\)
3.20.81
\(\int \frac {\sqrt {1+2 x}}{2+3 x+5 x^2} \, dx\)
3.20.82
\(\int \frac {1}{\sqrt {1+2 x} (2+3 x+5 x^2)} \, dx\)
3.20.83
\(\int \frac {1}{(1+2 x)^{3/2} (2+3 x+5 x^2)} \, dx\)
3.20.84
\(\int \frac {1}{(1+2 x)^{5/2} (2+3 x+5 x^2)} \, dx\)
3.20.85
\(\int \frac {(1+2 x)^{7/2}}{(2+3 x+5 x^2)^2} \, dx\)
3.20.86
\(\int \frac {(1+2 x)^{5/2}}{(2+3 x+5 x^2)^2} \, dx\)
3.20.87
\(\int \frac {(1+2 x)^{3/2}}{(2+3 x+5 x^2)^2} \, dx\)
3.20.88
\(\int \frac {\sqrt {1+2 x}}{(2+3 x+5 x^2)^2} \, dx\)
3.20.89
\(\int \frac {1}{\sqrt {1+2 x} (2+3 x+5 x^2)^2} \, dx\)
3.20.90
\(\int \frac {1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^2} \, dx\)
3.20.91
\(\int \frac {1}{(1+2 x)^{5/2} (2+3 x+5 x^2)^2} \, dx\)
3.20.92
\(\int \frac {(1+2 x)^{9/2}}{(2+3 x+5 x^2)^3} \, dx\)
3.20.93
\(\int \frac {(1+2 x)^{7/2}}{(2+3 x+5 x^2)^3} \, dx\)
3.20.94
\(\int \frac {(1+2 x)^{5/2}}{(2+3 x+5 x^2)^3} \, dx\)
3.20.95
\(\int \frac {(1+2 x)^{3/2}}{(2+3 x+5 x^2)^3} \, dx\)
3.20.96
\(\int \frac {\sqrt {1+2 x}}{(2+3 x+5 x^2)^3} \, dx\)
3.20.97
\(\int \frac {1}{\sqrt {1+2 x} (2+3 x+5 x^2)^3} \, dx\)
3.20.98
\(\int \frac {1}{(1+2 x)^{3/2} (2+3 x+5 x^2)^3} \, dx\)
3.20.99
\(\int \frac {x^{9/2}}{(a+b x+c x^2)^3} \, dx\)
3.20.100
\(\int \frac {1}{x^{3/2} (a+b x+c x^2)^3} \, dx\)
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