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3.19
Integrals 1801 to 1900
3.19.1
\(\int (d+e x)^3 (a+b x+c x^2)^3 \, dx\)
3.19.2
\(\int (d+e x)^2 (a+b x+c x^2)^3 \, dx\)
3.19.3
\(\int (d+e x) (a+b x+c x^2)^3 \, dx\)
3.19.4
\(\int (a+b x+c x^2)^3 \, dx\)
3.19.5
\(\int \frac {(a+b x+c x^2)^3}{d+e x} \, dx\)
3.19.6
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^2} \, dx\)
3.19.7
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^3} \, dx\)
3.19.8
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^4} \, dx\)
3.19.9
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^5} \, dx\)
3.19.10
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^6} \, dx\)
3.19.11
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^7} \, dx\)
3.19.12
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^8} \, dx\)
3.19.13
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^9} \, dx\)
3.19.14
\(\int \frac {(a+b x+c x^2)^3}{(d+e x)^{10}} \, dx\)
3.19.15
\(\int (d+e x)^4 (a+b x+c x^2)^4 \, dx\)
3.19.16
\(\int (d+e x)^3 (a+b x+c x^2)^4 \, dx\)
3.19.17
\(\int (d+e x)^2 (a+b x+c x^2)^4 \, dx\)
3.19.18
\(\int (d+e x) (a+b x+c x^2)^4 \, dx\)
3.19.19
\(\int (a+b x+c x^2)^4 \, dx\)
3.19.20
\(\int \frac {(a+b x+c x^2)^4}{d+e x} \, dx\)
3.19.21
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^2} \, dx\)
3.19.22
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^3} \, dx\)
3.19.23
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^4} \, dx\)
3.19.24
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^5} \, dx\)
3.19.25
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^6} \, dx\)
3.19.26
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^7} \, dx\)
3.19.27
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^8} \, dx\)
3.19.28
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^9} \, dx\)
3.19.29
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^{10}} \, dx\)
3.19.30
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^{11}} \, dx\)
3.19.31
\(\int \frac {(a+b x+c x^2)^4}{(d+e x)^{12}} \, dx\)
3.19.32
\(\int x^4 (3-4 x+x^2)^2 \, dx\)
3.19.33
\(\int x^3 (3-4 x+x^2)^2 \, dx\)
3.19.34
\(\int x^2 (3-4 x+x^2)^2 \, dx\)
3.19.35
\(\int x (3-4 x+x^2)^2 \, dx\)
3.19.36
\(\int (3-4 x+x^2)^2 \, dx\)
3.19.37
\(\int \frac {(3-4 x+x^2)^2}{x} \, dx\)
3.19.38
\(\int \frac {(3-4 x+x^2)^2}{x^2} \, dx\)
3.19.39
\(\int \frac {(3-4 x+x^2)^2}{x^3} \, dx\)
3.19.40
\(\int \frac {(3-4 x+x^2)^2}{x^4} \, dx\)
3.19.41
\(\int \frac {(3-4 x+x^2)^2}{x^5} \, dx\)
3.19.42
\(\int \frac {(3-4 x+x^2)^2}{x^6} \, dx\)
3.19.43
\(\int \frac {(3-4 x+x^2)^2}{x^7} \, dx\)
3.19.44
\(\int \frac {2+2 x+x^2}{2+x} \, dx\)
3.19.45
\(\int \frac {5+4 x+x^2}{-2+x} \, dx\)
3.19.46
\(\int \frac {2+2 x+x^2}{(1+x)^3} \, dx\)
3.19.47
\(\int \frac {3+3 x+2 x^2}{(1+x)^3} \, dx\)
3.19.48
\(\int \frac {1+x+x^2}{x} \, dx\)
3.19.49
\(\int \frac {9+6 x+x^2}{x^2} \, dx\)
3.19.50
\(\int \frac {1+2 x+x^2}{x^4} \, dx\)
3.19.51
\(\int \frac {(d+e x)^4}{a+b x+c x^2} \, dx\)
3.19.52
\(\int \frac {(d+e x)^3}{a+b x+c x^2} \, dx\)
3.19.53
\(\int \frac {(d+e x)^2}{a+b x+c x^2} \, dx\)
3.19.54
\(\int \frac {d+e x}{a+b x+c x^2} \, dx\)
3.19.55
\(\int \frac {1}{a+b x+c x^2} \, dx\)
3.19.56
\(\int \frac {1}{(d+e x) (a+b x+c x^2)} \, dx\)
3.19.57
\(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)} \, dx\)
3.19.58
\(\int \frac {1}{(d+e x)^3 (a+b x+c x^2)} \, dx\)
3.19.59
\(\int \frac {(d+e x)^5}{(a+b x+c x^2)^2} \, dx\)
3.19.60
\(\int \frac {(d+e x)^4}{(a+b x+c x^2)^2} \, dx\)
3.19.61
\(\int \frac {(d+e x)^3}{(a+b x+c x^2)^2} \, dx\)
3.19.62
\(\int \frac {(d+e x)^2}{(a+b x+c x^2)^2} \, dx\)
3.19.63
\(\int \frac {d+e x}{(a+b x+c x^2)^2} \, dx\)
3.19.64
\(\int \frac {1}{(a+b x+c x^2)^2} \, dx\)
3.19.65
\(\int \frac {1}{(d+e x) (a+b x+c x^2)^2} \, dx\)
3.19.66
\(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\)
3.19.67
\(\int \frac {1}{(d+e x)^3 (a+b x+c x^2)^2} \, dx\)
3.19.68
\(\int \frac {x^7}{(a+b x+c x^2)^3} \, dx\)
3.19.69
\(\int \frac {x^6}{(a+b x+c x^2)^3} \, dx\)
3.19.70
\(\int \frac {(d+e x)^5}{(a+b x+c x^2)^3} \, dx\)
3.19.71
\(\int \frac {(d+e x)^4}{(a+b x+c x^2)^3} \, dx\)
3.19.72
\(\int \frac {(d+e x)^3}{(a+b x+c x^2)^3} \, dx\)
3.19.73
\(\int \frac {(d+e x)^2}{(a+b x+c x^2)^3} \, dx\)
3.19.74
\(\int \frac {d+e x}{(a+b x+c x^2)^3} \, dx\)
3.19.75
\(\int \frac {1}{(a+b x+c x^2)^3} \, dx\)
3.19.76
\(\int \frac {1}{(d+e x) (a+b x+c x^2)^3} \, dx\)
3.19.77
\(\int \frac {1}{x^2 (a+b x+c x^2)^3} \, dx\)
3.19.78
\(\int \frac {1}{x^3 (a+b x+c x^2)^3} \, dx\)
3.19.79
\(\int \frac {x^8}{(a+b x+c x^2)^4} \, dx\)
3.19.80
\(\int \frac {x^7}{(a+b x+c x^2)^4} \, dx\)
3.19.81
\(\int \frac {x^6}{(a+b x+c x^2)^4} \, dx\)
3.19.82
\(\int \frac {x^5}{(a+b x+c x^2)^4} \, dx\)
3.19.83
\(\int \frac {(d+e x)^4}{(a+b x+c x^2)^4} \, dx\)
3.19.84
\(\int \frac {(d+e x)^3}{(a+b x+c x^2)^4} \, dx\)
3.19.85
\(\int \frac {(d+e x)^2}{(a+b x+c x^2)^4} \, dx\)
3.19.86
\(\int \frac {d+e x}{(a+b x+c x^2)^4} \, dx\)
3.19.87
\(\int \frac {1}{(a+b x+c x^2)^4} \, dx\)
3.19.88
\(\int \frac {1}{(d+e x) (a+b x+c x^2)^4} \, dx\)
3.19.89
\(\int \frac {1}{x^2 (a+b x+c x^2)^4} \, dx\)
3.19.90
\(\int \frac {(d+e x)^5}{(a+b x+c x^2)^5} \, dx\)
3.19.91
\(\int \frac {(d+e x)^4}{(a+b x+c x^2)^5} \, dx\)
3.19.92
\(\int \frac {(d+e x)^3}{(a+b x+c x^2)^5} \, dx\)
3.19.93
\(\int \frac {(d+e x)^2}{(a+b x+c x^2)^5} \, dx\)
3.19.94
\(\int \frac {d+e x}{(a+b x+c x^2)^5} \, dx\)
3.19.95
\(\int \frac {1}{(a+b x+c x^2)^5} \, dx\)
3.19.96
\(\int \frac {1}{(d+e x) (a+b x+c x^2)^5} \, dx\)
3.19.97
\(\int \frac {1}{(d+e x)^2 (a+b x+c x^2)^5} \, dx\)
3.19.98
\(\int \frac {1}{(1+2 x) (2+3 x+5 x^2)^3} \, dx\)
3.19.99
\(\int \frac {1}{(1+2 x)^2 (2+3 x+5 x^2)^3} \, dx\)
3.19.100
\(\int \frac {1}{(1+2 x) (2+3 x+5 x^2)^4} \, dx\)
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