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Chapter 3
Listing of integrals
3.1
\(\int (d+e x)^2 (A+B x+C x^2) \sqrt {d^2-e^2 x^2} \, dx\)
3.2
\(\int (d+e x) (A+B x+C x^2) \sqrt {d^2-e^2 x^2} \, dx\)
3.3
\(\int (A+B x+C x^2) \sqrt {d^2-e^2 x^2} \, dx\)
3.4
\(\int \frac {(A+B x+C x^2) \sqrt {d^2-e^2 x^2}}{d+e x} \, dx\)
3.5
\(\int \frac {(A+B x+C x^2) \sqrt {d^2-e^2 x^2}}{(d+e x)^2} \, dx\)
3.6
\(\int \frac {(A+B x+C x^2) \sqrt {d^2-e^2 x^2}}{(d+e x)^3} \, dx\)
3.7
\(\int \frac {(A+B x+C x^2) \sqrt {d^2-e^2 x^2}}{(d+e x)^4} \, dx\)
3.8
\(\int \frac {(A+B x+C x^2) \sqrt {d^2-e^2 x^2}}{(d+e x)^5} \, dx\)
3.9
\(\int \frac {(A+B x+C x^2) \sqrt {d^2-e^2 x^2}}{(d+e x)^6} \, dx\)
3.10
\(\int \frac {(d+e x)^3 (A+B x+C x^2)}{\sqrt {d^2-e^2 x^2}} \, dx\)
3.11
\(\int \frac {(d+e x)^2 (A+B x+C x^2)}{\sqrt {d^2-e^2 x^2}} \, dx\)
3.12
\(\int \frac {(d+e x) (A+B x+C x^2)}{\sqrt {d^2-e^2 x^2}} \, dx\)
3.13
\(\int \frac {A+B x+C x^2}{\sqrt {d^2-e^2 x^2}} \, dx\)
3.14
\(\int \frac {A+B x+C x^2}{(d+e x) \sqrt {d^2-e^2 x^2}} \, dx\)
3.15
\(\int \frac {A+B x+C x^2}{(d+e x)^2 \sqrt {d^2-e^2 x^2}} \, dx\)
3.16
\(\int \frac {A+B x+C x^2}{(d+e x)^3 \sqrt {d^2-e^2 x^2}} \, dx\)
3.17
\(\int \frac {A+B x+C x^2}{(d+e x)^4 \sqrt {d^2-e^2 x^2}} \, dx\)
3.18
\(\int (d+e x)^3 (a+c x^2) (A+B x+C x^2) \, dx\)
3.19
\(\int (d+e x)^2 (a+c x^2) (A+B x+C x^2) \, dx\)
3.20
\(\int (d+e x) (a+c x^2) (A+B x+C x^2) \, dx\)
3.21
\(\int (a+c x^2) (A+B x+C x^2) \, dx\)
3.22
\(\int \frac {(a+c x^2) (A+B x+C x^2)}{d+e x} \, dx\)
3.23
\(\int \frac {(a+c x^2) (A+B x+C x^2)}{(d+e x)^2} \, dx\)
3.24
\(\int \frac {(a+c x^2) (A+B x+C x^2)}{(d+e x)^3} \, dx\)
3.25
\(\int (d+e x)^3 (a+c x^2)^2 (A+B x+C x^2) \, dx\)
3.26
\(\int (d+e x)^2 (a+c x^2)^2 (A+B x+C x^2) \, dx\)
3.27
\(\int (d+e x) (a+c x^2)^2 (A+B x+C x^2) \, dx\)
3.28
\(\int (a+c x^2)^2 (A+B x+C x^2) \, dx\)
3.29
\(\int \frac {(a+c x^2)^2 (A+B x+C x^2)}{d+e x} \, dx\)
3.30
\(\int \frac {(a+c x^2)^2 (A+B x+C x^2)}{(d+e x)^2} \, dx\)
3.31
\(\int \frac {(a+c x^2)^2 (A+B x+C x^2)}{(d+e x)^3} \, dx\)
3.32
\(\int (d+e x)^3 (a+c x^2)^3 (A+B x+C x^2) \, dx\)
3.33
\(\int (d+e x)^2 (a+c x^2)^3 (A+B x+C x^2) \, dx\)
3.34
\(\int (d+e x) (a+c x^2)^3 (A+B x+C x^2) \, dx\)
3.35
\(\int (a+c x^2)^3 (A+B x+C x^2) \, dx\)
3.36
\(\int \frac {(a+c x^2)^3 (A+B x+C x^2)}{d+e x} \, dx\)
3.37
\(\int \frac {(a+c x^2)^3 (A+B x+C x^2)}{(d+e x)^2} \, dx\)
3.38
\(\int \frac {(a+c x^2)^3 (A+B x+C x^2)}{(d+e x)^3} \, dx\)
3.39
\(\int \frac {(a+b x^2) (-a d+4 b c x+3 b d x^2)}{(c+d x)^2} \, dx\)
3.40
\(\int \frac {(a+b x^2) (-a d+b x (4 c+3 d x))}{(c+d x)^2} \, dx\)
3.41
\(\int \frac {(a+b x^2)^2 (-a d+6 b c x+5 b d x^2)}{(c+d x)^2} \, dx\)
3.42
\(\int \frac {(a+b x^2)^2 (-a d+b x (6 c+5 d x))}{(c+d x)^2} \, dx\)
3.43
\(\int \frac {(d+e x)^3 (A+B x+C x^2)}{a+c x^2} \, dx\)
3.44
\(\int \frac {(d+e x)^2 (A+B x+C x^2)}{a+c x^2} \, dx\)
3.45
\(\int \frac {(d+e x) (A+B x+C x^2)}{a+c x^2} \, dx\)
3.46
\(\int \frac {A+B x+C x^2}{a+c x^2} \, dx\)
3.47
\(\int \frac {A+B x+C x^2}{(d+e x) (a+c x^2)} \, dx\)
3.48
\(\int \frac {A+B x+C x^2}{(d+e x)^2 (a+c x^2)} \, dx\)
3.49
\(\int \frac {A+B x+C x^2}{(d+e x)^3 (a+c x^2)} \, dx\)
3.50
\(\int \frac {(d+e x)^3 (A+B x+C x^2)}{(a+c x^2)^2} \, dx\)
3.51
\(\int \frac {(d+e x)^2 (A+B x+C x^2)}{(a+c x^2)^2} \, dx\)
3.52
\(\int \frac {(d+e x) (A+B x+C x^2)}{(a+c x^2)^2} \, dx\)
3.53
\(\int \frac {A+B x+C x^2}{(a+c x^2)^2} \, dx\)
3.54
\(\int \frac {A+B x+C x^2}{(d+e x) (a+c x^2)^2} \, dx\)
3.55
\(\int \frac {A+B x+C x^2}{(d+e x)^2 (a+c x^2)^2} \, dx\)
3.56
\(\int \frac {A+B x+C x^2}{(d+e x)^3 (a+c x^2)^2} \, dx\)
3.57
\(\int \frac {(d+e x)^3 (A+B x+C x^2)}{(a+c x^2)^3} \, dx\)
3.58
\(\int \frac {(d+e x)^2 (A+B x+C x^2)}{(a+c x^2)^3} \, dx\)
3.59
\(\int \frac {(d+e x) (A+B x+C x^2)}{(a+c x^2)^3} \, dx\)
3.60
\(\int \frac {A+B x+C x^2}{(a+c x^2)^3} \, dx\)
3.61
\(\int \frac {A+B x+C x^2}{(d+e x) (a+c x^2)^3} \, dx\)
3.62
\(\int \frac {A+B x+C x^2}{(d+e x)^2 (a+c x^2)^3} \, dx\)
3.63
\(\int \frac {A+B x+C x^2}{(d+e x)^3 (a+c x^2)^3} \, dx\)
3.64
\(\int \frac {(d+e x)^4 (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
3.65
\(\int \frac {(d+e x)^3 (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
3.66
\(\int \frac {(d+e x)^2 (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
3.67
\(\int \frac {(d+e x) (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
3.68
\(\int \frac {A+B x+C x^2}{(a+c x^2)^4} \, dx\)
3.69
\(\int \frac {x^3 (1+x+x^2)}{(1+x^2)^2} \, dx\)
3.70
\(\int \frac {x^2 (1+x+x^2)}{(1+x^2)^2} \, dx\)
3.71
\(\int \frac {x (1+x+x^2)}{(1+x^2)^2} \, dx\)
3.72
\(\int \frac {1+x+x^2}{(1+x^2)^2} \, dx\)
3.73
\(\int \frac {1+x+x^2}{x (1+x^2)^2} \, dx\)
3.74
\(\int \frac {1+x+x^2}{x^2 (1+x^2)^2} \, dx\)
3.75
\(\int \frac {1+x+x^2}{x^3 (1+x^2)^2} \, dx\)
3.76
\(\int \frac {1+2 x+x^2}{(1+x^2)^2} \, dx\)
3.77
\(\int \frac {2+12 x+3 x^2}{(4+x^2)^2} \, dx\)
3.78
\(\int (g+h x)^3 \sqrt {a+c x^2} (d+e x+f x^2) \, dx\)
3.79
\(\int (g+h x)^2 \sqrt {a+c x^2} (d+e x+f x^2) \, dx\)
3.80
\(\int (g+h x) \sqrt {a+c x^2} (d+e x+f x^2) \, dx\)
3.81
\(\int \sqrt {a+c x^2} (d+e x+f x^2) \, dx\)
3.82
\(\int \frac {\sqrt {a+c x^2} (d+e x+f x^2)}{g+h x} \, dx\)
3.83
\(\int \frac {\sqrt {a+c x^2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
3.84
\(\int \frac {\sqrt {a+c x^2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
3.85
\(\int \frac {\sqrt {a+c x^2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
3.86
\(\int \frac {\sqrt {a+c x^2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
3.87
\(\int \frac {\sqrt {a+c x^2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
3.88
\(\int (g+h x)^3 (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.89
\(\int (g+h x)^2 (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.90
\(\int (g+h x) (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.91
\(\int (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.92
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{g+h x} \, dx\)
3.93
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
3.94
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
3.95
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
3.96
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
3.97
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
3.98
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^7} \, dx\)
3.99
\(\int \frac {(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^8} \, dx\)
3.100
\(\int (a+c x^2)^{5/2} (A+B x+C x^2) \, dx\)
3.101
\(\int \frac {(g+h x)^3 (d+e x+f x^2)}{\sqrt {a+c x^2}} \, dx\)
3.102
\(\int \frac {(g+h x)^2 (d+e x+f x^2)}{\sqrt {a+c x^2}} \, dx\)
3.103
\(\int \frac {(g+h x) (d+e x+f x^2)}{\sqrt {a+c x^2}} \, dx\)
3.104
\(\int \frac {d+e x+f x^2}{\sqrt {a+c x^2}} \, dx\)
3.105
\(\int \frac {d+e x+f x^2}{(g+h x) \sqrt {a+c x^2}} \, dx\)
3.106
\(\int \frac {d+e x+f x^2}{(g+h x)^2 \sqrt {a+c x^2}} \, dx\)
3.107
\(\int \frac {d+e x+f x^2}{(g+h x)^3 \sqrt {a+c x^2}} \, dx\)
3.108
\(\int \frac {(g+h x)^3 (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
3.109
\(\int \frac {(g+h x)^2 (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
3.110
\(\int \frac {(g+h x) (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
3.111
\(\int \frac {d+e x+f x^2}{(a+c x^2)^{3/2}} \, dx\)
3.112
\(\int \frac {d+e x+f x^2}{(g+h x) (a+c x^2)^{3/2}} \, dx\)
3.113
\(\int \frac {d+e x+f x^2}{(g+h x)^2 (a+c x^2)^{3/2}} \, dx\)
3.114
\(\int \frac {d+e x+f x^2}{(g+h x)^3 (a+c x^2)^{3/2}} \, dx\)
3.115
\(\int \frac {A+B x+C x^2}{(a+c x^2)^{5/2}} \, dx\)
3.116
\(\int \frac {A+B x+C x^2}{(a+c x^2)^{7/2}} \, dx\)
3.117
\(\int \frac {A+B x+C x^2}{(a+c x^2)^{9/2}} \, dx\)
3.118
\(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\)
3.119
\(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\)
3.120
\(\int \frac {(1+2 x) (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\)
3.121
\(\int \frac {1+3 x+4 x^2}{(1+2 x) \sqrt {2+3 x^2}} \, dx\)
3.122
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 \sqrt {2+3 x^2}} \, dx\)
3.123
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 \sqrt {2+3 x^2}} \, dx\)
3.124
\(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
3.125
\(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
3.126
\(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
3.127
\(\int \frac {1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{3/2}} \, dx\)
3.128
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{3/2}} \, dx\)
3.129
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{3/2}} \, dx\)
3.130
\(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
3.131
\(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
3.132
\(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
3.133
\(\int \frac {1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{5/2}} \, dx\)
3.134
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{5/2}} \, dx\)
3.135
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{5/2}} \, dx\)
3.136
\(\int (g+h x)^m (a+c x^2)^p (d+e x+f x^2) \, dx\)
3.137
\(\int (g+h x)^m \sqrt {a+c x^2} (d+e x+f x^2) \, dx\)
3.138
\(\int (g+h x)^{-3-2 p} (a+c x^2)^p (d+e x+f x^2) \, dx\)
3.139
\(\int (d+e x)^m (-c d^2+b d e+b e^2 x+c e^2 x^2)^p ((-c d+b e) f+(c e f-c d g+b e g) x+c e g x^2) \, dx\)
3.140
\(\int (a+b x+c x^2)^4 (A+C x^2) \, dx\)
3.141
\(\int (a+b x+c x^2)^3 (A+C x^2) \, dx\)
3.142
\(\int (a+b x+c x^2)^2 (A+C x^2) \, dx\)
3.143
\(\int (a+b x+c x^2) (A+C x^2) \, dx\)
3.144
\(\int \frac {A+C x^2}{a+b x+c x^2} \, dx\)
3.145
\(\int \frac {A+C x^2}{(a+b x+c x^2)^2} \, dx\)
3.146
\(\int \frac {A+C x^2}{(a+b x+c x^2)^3} \, dx\)
3.147
\(\int \frac {A+C x^2}{(a+b x+c x^2)^4} \, dx\)
3.148
\(\int \frac {(d+e x)^3 (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
3.149
\(\int \frac {(d+e x)^2 (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
3.150
\(\int \frac {(d+e x) (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
3.151
\(\int \frac {f+g x+h x^2}{a+b x+c x^2} \, dx\)
3.152
\(\int \frac {f+g x+h x^2}{(d+e x) (a+b x+c x^2)} \, dx\)
3.153
\(\int \frac {f+g x+h x^2}{(d+e x)^2 (a+b x+c x^2)} \, dx\)
3.154
\(\int \frac {f+g x+h x^2}{(d+e x)^3 (a+b x+c x^2)} \, dx\)
3.155
\(\int \frac {(d+e x)^2 (f+g x+h x^2)}{(a+b x+c x^2)^2} \, dx\)
3.156
\(\int \frac {(d+e x) (f+g x+h x^2)}{(a+b x+c x^2)^2} \, dx\)
3.157
\(\int \frac {f+g x+h x^2}{(a+b x+c x^2)^2} \, dx\)
3.158
\(\int \frac {f+g x+h x^2}{(d+e x) (a+b x+c x^2)^2} \, dx\)
3.159
\(\int \frac {f+g x+h x^2}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\)
3.160
\(\int \frac {x^3 (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
3.161
\(\int \frac {x^2 (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
3.162
\(\int \frac {x (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
3.163
\(\int \frac {1+x+x^2}{(1-x+x^2)^2} \, dx\)
3.164
\(\int \frac {1+x+x^2}{x (1-x+x^2)^2} \, dx\)
3.165
\(\int \frac {1+x+x^2}{x^2 (1-x+x^2)^2} \, dx\)
3.166
\(\int \frac {1+x+x^2}{x^3 (1-x+x^2)^2} \, dx\)
3.167
\(\int \frac {1-x^2}{(1+x+x^2)^2} \, dx\)
3.168
\(\int \frac {1+x^2}{1+x+x^2} \, dx\)
3.169
\(\int \frac {-1+x^2}{25-6 x+x^2} \, dx\)
3.170
\(\int \frac {-10+3 x^2}{4-4 x+x^2} \, dx\)
3.171
\(\int \frac {8+x^2}{6-5 x+x^2} \, dx\)
3.172
\(\int \frac {-4+3 x+x^2}{-8-2 x+x^2} \, dx\)
3.173
\(\int \frac {7+5 x+4 x^2}{5+4 x+4 x^2} \, dx\)
3.174
\(\int \frac {2-x+x^2}{-5+2 x+x^2} \, dx\)
3.175
\(\int \frac {1+4 x+3 x^2}{(4+7 x+2 x^2)^2} \, dx\)
3.176
\(\int \frac {1+x+x^2}{(3+2 x+x^2)^2} \, dx\)
3.177
\(\int \frac {-1+2 x+5 x^2}{(1+x+x^2)^4} \, dx\)
3.178
\(\int (a+b x+c x^2)^{5/2} (A+C x^2) \, dx\)
3.179
\(\int (a+b x+c x^2)^{3/2} (A+C x^2) \, dx\)
3.180
\(\int \sqrt {a+b x+c x^2} (A+C x^2) \, dx\)
3.181
\(\int \frac {A+C x^2}{\sqrt {a+b x+c x^2}} \, dx\)
3.182
\(\int \frac {A+C x^2}{(a+b x+c x^2)^{3/2}} \, dx\)
3.183
\(\int \frac {A+C x^2}{(a+b x+c x^2)^{5/2}} \, dx\)
3.184
\(\int \frac {A+C x^2}{(a+b x+c x^2)^{7/2}} \, dx\)
3.185
\(\int \frac {A+C x^2}{(a+b x+c x^2)^{9/2}} \, dx\)
3.186
\(\int (g+h x)^3 \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
3.187
\(\int (g+h x)^2 \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
3.188
\(\int (g+h x) \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
3.189
\(\int \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
3.190
\(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{g+h x} \, dx\)
3.191
\(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
3.192
\(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
3.193
\(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
3.194
\(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
3.195
\(\int \frac {\sqrt {a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
3.196
\(\int (g+h x)^3 (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.197
\(\int (g+h x)^2 (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.198
\(\int (g+h x) (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.199
\(\int (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
3.200
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{g+h x} \, dx\)
3.201
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
3.202
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
3.203
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
3.204
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
3.205
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
3.206
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^7} \, dx\)
3.207
\(\int \frac {(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^8} \, dx\)
3.208
\(\int (1+2 x)^3 \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
3.209
\(\int (1+2 x)^2 \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
3.210
\(\int (1+2 x) \sqrt {2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
3.211
\(\int \frac {\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
3.212
\(\int \frac {\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
3.213
\(\int \frac {\sqrt {2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
3.214
\(\int (1+2 x)^3 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
3.215
\(\int (1+2 x)^2 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
3.216
\(\int (1+2 x) (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
3.217
\(\int \frac {(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
3.218
\(\int \frac {(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
3.219
\(\int \frac {(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
3.220
\(\int (1+2 x)^3 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
3.221
\(\int (1+2 x)^2 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
3.222
\(\int (1+2 x) (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
3.223
\(\int \frac {(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
3.224
\(\int \frac {(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
3.225
\(\int \frac {(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
3.226
\(\int \frac {(g+h x)^3 (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
3.227
\(\int \frac {(g+h x)^2 (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
3.228
\(\int \frac {(g+h x) (d+e x+f x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
3.229
\(\int \frac {d+e x+f x^2}{\sqrt {a+b x+c x^2}} \, dx\)
3.230
\(\int \frac {d+e x+f x^2}{(g+h x) \sqrt {a+b x+c x^2}} \, dx\)
3.231
\(\int \frac {d+e x+f x^2}{(g+h x)^2 \sqrt {a+b x+c x^2}} \, dx\)
3.232
\(\int \frac {d+e x+f x^2}{(g+h x)^3 \sqrt {a+b x+c x^2}} \, dx\)
3.233
\(\int \frac {(g+h x)^3 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
3.234
\(\int \frac {(g+h x)^2 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
3.235
\(\int \frac {(g+h x) (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
3.236
\(\int \frac {d+e x+f x^2}{(a+b x+c x^2)^{3/2}} \, dx\)
3.237
\(\int \frac {d+e x+f x^2}{(g+h x) (a+b x+c x^2)^{3/2}} \, dx\)
3.238
\(\int \frac {d+e x+f x^2}{(g+h x)^2 (a+b x+c x^2)^{3/2}} \, dx\)
3.239
\(\int \frac {d+e x+f x^2}{(g+h x)^3 (a+b x+c x^2)^{3/2}} \, dx\)
3.240
\(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\)
3.241
\(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\)
3.242
\(\int \frac {(1+2 x) (1+3 x+4 x^2)}{\sqrt {2-x+3 x^2}} \, dx\)
3.243
\(\int \frac {1+3 x+4 x^2}{(1+2 x) \sqrt {2-x+3 x^2}} \, dx\)
3.244
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 \sqrt {2-x+3 x^2}} \, dx\)
3.245
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 \sqrt {2-x+3 x^2}} \, dx\)
3.246
\(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
3.247
\(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
3.248
\(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
3.249
\(\int \frac {1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{3/2}} \, dx\)
3.250
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{3/2}} \, dx\)
3.251
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{3/2}} \, dx\)
3.252
\(\int \frac {(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
3.253
\(\int \frac {(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
3.254
\(\int \frac {(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
3.255
\(\int \frac {1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{5/2}} \, dx\)
3.256
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{5/2}} \, dx\)
3.257
\(\int \frac {1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{5/2}} \, dx\)
3.258
\(\int \frac {d+e x+f x^2}{(g+h x) (-c g^2+b g h+b h^2 x+c h^2 x^2)^{3/2}} \, dx\)
3.259
\(\int \sqrt {d+e x} \sqrt {a+b x+c x^2} (A+B x+C x^2) \, dx\)
3.260
\(\int \frac {\sqrt {a+b x+c x^2} (A+B x+C x^2)}{\sqrt {d+e x}} \, dx\)
3.261
\(\int \frac {\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{3/2}} \, dx\)
3.262
\(\int \frac {\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{5/2}} \, dx\)
3.263
\(\int \frac {\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{7/2}} \, dx\)
3.264
\(\int \frac {\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{9/2}} \, dx\)
3.265
\(\int \frac {\sqrt {a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{11/2}} \, dx\)
3.266
\(\int \frac {(d+e x)^{3/2} (A+B x+C x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
3.267
\(\int \frac {\sqrt {d+e x} (A+B x+C x^2)}{\sqrt {a+b x+c x^2}} \, dx\)
3.268
\(\int \frac {A+B x+C x^2}{\sqrt {d+e x} \sqrt {a+b x+c x^2}} \, dx\)
3.269
\(\int \frac {A+B x+C x^2}{(d+e x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\)
3.270
\(\int \frac {A+B x+C x^2}{(d+e x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\)
3.271
\(\int \frac {A+B x+C x^2}{(d+e x)^{7/2} \sqrt {a+b x+c x^2}} \, dx\)
3.272
\(\int (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2) \, dx\)
3.273
\(\int (g+h x)^m \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\)
3.274
\(\int (g+h x)^{-3-2 p} (a+b x+c x^2)^p (d+e x+f x^2) \, dx\)
3.275
\(\int (d+f x^2)^p (2 c d f+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\)
3.276
\(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f-c e^2 p+2 c f^2 (3+2 p) x^2) \, dx\)
3.277
\(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f+3 b e f-c e^2 p+2 b e f p+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\)
3.278
\(\int (d+e x)^3 (a+b x+c x^2)^5 (d (6 b d+5 a e)+(12 c d^2+17 b d e+5 a e^2) x+e (29 c d+11 b e) x^2+17 c e^2 x^3) \, dx\)
3.279
\(\int \frac {x^2+x^3}{-2+x+x^2} \, dx\)
3.280
\(\int \frac {x^2 (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\)
3.281
\(\int \frac {x (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\)
3.282
\(\int \frac {d+e x+f x^2+g x^3}{\sqrt {a+b x+c x^2}} \, dx\)
3.283
\(\int \frac {d+e x+f x^2+g x^3}{x \sqrt {a+b x+c x^2}} \, dx\)
3.284
\(\int \frac {d+e x+f x^2+g x^3}{x^2 \sqrt {a+b x+c x^2}} \, dx\)
3.285
\(\int \frac {d+e x+f x^2+g x^3}{x^3 \sqrt {a+b x+c x^2}} \, dx\)
3.286
\(\int \frac {d+e x+f x^2+g x^3}{x^4 \sqrt {a+b x+c x^2}} \, dx\)
3.287
\(\int \frac {d+e x+f x^2+g x^3}{x^5 \sqrt {a+b x+c x^2}} \, dx\)
3.288
\(\int \frac {d+e x+f x^2+g x^3}{x^6 \sqrt {a+b x+c x^2}} \, dx\)
3.289
\(\int (d+e x)^3 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.290
\(\int (d+e x)^2 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.291
\(\int (d+e x) (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.292
\(\int (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.293
\(\int \frac {(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\)
3.294
\(\int \frac {(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\)
3.295
\(\int \frac {(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\)
3.296
\(\int (d+e x)^3 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.297
\(\int (d+e x)^2 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.298
\(\int (d+e x) (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.299
\(\int (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.300
\(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\)
3.301
\(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\)
3.302
\(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\)
3.303
\(\int \frac {(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^4} \, dx\)
3.304
\(\int \frac {(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
3.305
\(\int \frac {(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
3.306
\(\int \frac {(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
3.307
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{3+2 x+5 x^2} \, dx\)
3.308
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)} \, dx\)
3.309
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)} \, dx\)
3.310
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)} \, dx\)
3.311
\(\int \frac {(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
3.312
\(\int \frac {(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
3.313
\(\int \frac {(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
3.314
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^2} \, dx\)
3.315
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^2} \, dx\)
3.316
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^2} \, dx\)
3.317
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)^2} \, dx\)
3.318
\(\int \frac {(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
3.319
\(\int \frac {(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
3.320
\(\int \frac {(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
3.321
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^3} \, dx\)
3.322
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^3} \, dx\)
3.323
\(\int \frac {2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^3} \, dx\)
3.324
\(\int (5+2 x) \sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
3.325
\(\int \sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
3.326
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\)
3.327
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\)
3.328
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\)
3.329
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\)
3.330
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\)
3.331
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\)
3.332
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\)
3.333
\(\int \frac {\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\)
3.334
\(\int (5+2 x) (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
3.335
\(\int (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
3.336
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\)
3.337
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\)
3.338
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\)
3.339
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\)
3.340
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\)
3.341
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\)
3.342
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\)
3.343
\(\int \frac {(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\)
3.344
\(\int \frac {(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{\sqrt {3-x+2 x^2}} \, dx\)
3.345
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{\sqrt {3-x+2 x^2}} \, dx\)
3.346
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x) \sqrt {3-x+2 x^2}} \, dx\)
3.347
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 \sqrt {3-x+2 x^2}} \, dx\)
3.348
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 \sqrt {3-x+2 x^2}} \, dx\)
3.349
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 \sqrt {3-x+2 x^2}} \, dx\)
3.350
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^5 \sqrt {3-x+2 x^2}} \, dx\)
3.351
\(\int \frac {(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\)
3.352
\(\int \frac {(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\)
3.353
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{3/2}} \, dx\)
3.354
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{3/2}} \, dx\)
3.355
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{3/2}} \, dx\)
3.356
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{3/2}} \, dx\)
3.357
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{3/2}} \, dx\)
3.358
\(\int \frac {(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\)
3.359
\(\int \frac {(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\)
3.360
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{5/2}} \, dx\)
3.361
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{5/2}} \, dx\)
3.362
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{5/2}} \, dx\)
3.363
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{5/2}} \, dx\)
3.364
\(\int \frac {2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{5/2}} \, dx\)
3.365
\(\int \frac {f+g x+h x^2+i x^3+j x^4}{(a+b x+c x^2)^{5/2}} \, dx\)
3.366
\(\int \frac {f+g x+h x^2+i x^3+j x^4}{(a+b x-c x^2)^{5/2}} \, dx\)
3.367
\(\int (d+e x)^m (3+2 x+5 x^2)^3 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.368
\(\int (d+e x)^m (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.369
\(\int (d+e x)^m (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
3.370
\(\int \frac {(d+e x)^m (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
3.371
\(\int \frac {(d+e x)^m (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
3.372
\(\int \frac {d+e x+f x^2+g x^3+h x^4+i x^5}{(a+b x+c x^2)^3} \, dx\)
3.373
\(\int \frac {d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x+c x^2} \, dx\)
3.374
\(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\)
3.375
\(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\)
3.376
\(\int (1+4 x-7 x^2) (2+5 x+x^2) \sqrt {3+2 x+5 x^2} \, dx\)
3.377
\(\int \frac {(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{1+4 x-7 x^2} \, dx\)
3.378
\(\int \frac {(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{(1+4 x-7 x^2)^2} \, dx\)
3.379
\(\int \frac {(2+5 x+x^2) \sqrt {3+2 x+5 x^2}}{(1+4 x-7 x^2)^3} \, dx\)
3.380
\(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\)
3.381
\(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\)
3.382
\(\int (1+4 x-7 x^2) (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\)
3.383
\(\int \frac {(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{1+4 x-7 x^2} \, dx\)
3.384
\(\int \frac {(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^2} \, dx\)
3.385
\(\int \frac {(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^3} \, dx\)
3.386
\(\int \frac {(1+4 x-7 x^2)^3 (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\)
3.387
\(\int \frac {(1+4 x-7 x^2)^2 (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\)
3.388
\(\int \frac {(1+4 x-7 x^2) (2+5 x+x^2)}{\sqrt {3+2 x+5 x^2}} \, dx\)
3.389
\(\int \frac {2+5 x+x^2}{(1+4 x-7 x^2) \sqrt {3+2 x+5 x^2}} \, dx\)
3.390
\(\int \frac {2+5 x+x^2}{(1+4 x-7 x^2)^2 \sqrt {3+2 x+5 x^2}} \, dx\)
3.391
\(\int \frac {2+5 x+x^2}{(1+4 x-7 x^2)^3 \sqrt {3+2 x+5 x^2}} \, dx\)
3.392
\(\int \frac {(1+4 x-7 x^2)^3 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\)
3.393
\(\int \frac {(1+4 x-7 x^2)^2 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\)
3.394
\(\int \frac {(1+4 x-7 x^2) (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\)
3.395
\(\int \frac {2+5 x+x^2}{(1+4 x-7 x^2) (3+2 x+5 x^2)^{3/2}} \, dx\)
3.396
\(\int \frac {2+5 x+x^2}{(1+4 x-7 x^2)^2 (3+2 x+5 x^2)^{3/2}} \, dx\)
3.397
\(\int \frac {2+5 x+x^2}{(1+4 x-7 x^2)^3 (3+2 x+5 x^2)^{3/2}} \, dx\)
3.398
\(\int (a+c x^2)^p (A+C x^2) (d+f x^2)^q \, dx\)
3.399
\(\int (A+B x) (a+c x^2)^p (d+f x^2)^q \, dx\)
3.400
\(\int (a+c x^2)^p (A+B x+C x^2) (d+f x^2)^q \, dx\)
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