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Chapter 3
Listing of integrals
3.1
\(\int x^2 (A+B x^2) (b x^2+c x^4) \, dx\)
3.2
\(\int x (A+B x^2) (b x^2+c x^4) \, dx\)
3.3
\(\int (A+B x^2) (b x^2+c x^4) \, dx\)
3.4
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x} \, dx\)
3.5
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^2} \, dx\)
3.6
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^3} \, dx\)
3.7
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^4} \, dx\)
3.8
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^5} \, dx\)
3.9
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^6} \, dx\)
3.10
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^7} \, dx\)
3.11
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^8} \, dx\)
3.12
\(\int (A+B x^2) (b x^2+c x^4)^2 \, dx\)
3.13
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x} \, dx\)
3.14
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^2} \, dx\)
3.15
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^3} \, dx\)
3.16
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^4} \, dx\)
3.17
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^5} \, dx\)
3.18
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^6} \, dx\)
3.19
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^7} \, dx\)
3.20
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^8} \, dx\)
3.21
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^9} \, dx\)
3.22
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^{10}} \, dx\)
3.23
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^{11}} \, dx\)
3.24
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^{12}} \, dx\)
3.25
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^2} \, dx\)
3.26
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^3} \, dx\)
3.27
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^4} \, dx\)
3.28
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^5} \, dx\)
3.29
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^6} \, dx\)
3.30
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^7} \, dx\)
3.31
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^8} \, dx\)
3.32
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^9} \, dx\)
3.33
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{10}} \, dx\)
3.34
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{11}} \, dx\)
3.35
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{12}} \, dx\)
3.36
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{13}} \, dx\)
3.37
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{14}} \, dx\)
3.38
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{15}} \, dx\)
3.39
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{16}} \, dx\)
3.40
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{17}} \, dx\)
3.41
\(\int \frac{x^{10} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.42
\(\int \frac{x^9 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.43
\(\int \frac{x^8 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.44
\(\int \frac{x^7 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.45
\(\int \frac{x^6 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.46
\(\int \frac{x^5 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.47
\(\int \frac{x^4 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.48
\(\int \frac{x^3 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.49
\(\int \frac{x^2 (A+B x^2)}{b x^2+c x^4} \, dx\)
3.50
\(\int \frac{x (A+B x^2)}{b x^2+c x^4} \, dx\)
3.51
\(\int \frac{A+B x^2}{b x^2+c x^4} \, dx\)
3.52
\(\int \frac{A+B x^2}{b x^2-c x^4} \, dx\)
3.53
\(\int \frac{A+B x^2}{x (b x^2+c x^4)} \, dx\)
3.54
\(\int \frac{A+B x^2}{x^2 (b x^2+c x^4)} \, dx\)
3.55
\(\int \frac{A+B x^2}{x^3 (b x^2+c x^4)} \, dx\)
3.56
\(\int \frac{A+B x^2}{x^4 (b x^2+c x^4)} \, dx\)
3.57
\(\int \frac{A+B x^2}{x^5 (b x^2+c x^4)} \, dx\)
3.58
\(\int \frac{x^{12} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.59
\(\int \frac{x^{11} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.60
\(\int \frac{x^{10} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.61
\(\int \frac{x^9 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.62
\(\int \frac{x^8 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.63
\(\int \frac{x^7 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.64
\(\int \frac{x^6 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.65
\(\int \frac{x^5 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.66
\(\int \frac{x^4 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.67
\(\int \frac{x^3 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.68
\(\int \frac{x^2 (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.69
\(\int \frac{x (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.70
\(\int \frac{A+B x^2}{(b x^2+c x^4)^2} \, dx\)
3.71
\(\int \frac{A+B x^2}{x (b x^2+c x^4)^2} \, dx\)
3.72
\(\int \frac{A+B x^2}{x^2 (b x^2+c x^4)^2} \, dx\)
3.73
\(\int \frac{x^{14} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.74
\(\int \frac{x^{13} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.75
\(\int \frac{x^{12} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.76
\(\int \frac{x^{11} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.77
\(\int \frac{x^{10} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.78
\(\int \frac{x^9 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.79
\(\int \frac{x^8 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.80
\(\int \frac{x^7 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.81
\(\int \frac{x^6 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.82
\(\int \frac{x^5 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.83
\(\int \frac{x^4 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.84
\(\int \frac{x^3 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.85
\(\int \frac{x^2 (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.86
\(\int \frac{x (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.87
\(\int \frac{A+B x^2}{(b x^2+c x^4)^3} \, dx\)
3.88
\(\int \frac{A+B x^2}{x (b x^2+c x^4)^3} \, dx\)
3.89
\(\int x^7 (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.90
\(\int x^5 (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.91
\(\int x^3 (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.92
\(\int x (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.93
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x} \, dx\)
3.94
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^3} \, dx\)
3.95
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^5} \, dx\)
3.96
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^7} \, dx\)
3.97
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^9} \, dx\)
3.98
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{11}} \, dx\)
3.99
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{13}} \, dx\)
3.100
\(\int x^4 (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.101
\(\int x^2 (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.102
\(\int (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.103
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^2} \, dx\)
3.104
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^4} \, dx\)
3.105
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^6} \, dx\)
3.106
\(\int x^5 (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.107
\(\int x^3 (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.108
\(\int x (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.109
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x} \, dx\)
3.110
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^3} \, dx\)
3.111
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^5} \, dx\)
3.112
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^7} \, dx\)
3.113
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^9} \, dx\)
3.114
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{11}} \, dx\)
3.115
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{13}} \, dx\)
3.116
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{15}} \, dx\)
3.117
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{17}} \, dx\)
3.118
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{19}} \, dx\)
3.119
\(\int x^4 (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.120
\(\int x^2 (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.121
\(\int (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.122
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^2} \, dx\)
3.123
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^4} \, dx\)
3.124
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^6} \, dx\)
3.125
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^8} \, dx\)
3.126
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{10}} \, dx\)
3.127
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{12}} \, dx\)
3.128
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{14}} \, dx\)
3.129
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{16}} \, dx\)
3.130
\(\int \frac{x^7 (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.131
\(\int \frac{x^5 (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.132
\(\int \frac{x^3 (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.133
\(\int \frac{x (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.134
\(\int \frac{A+B x^2}{x \sqrt{b x^2+c x^4}} \, dx\)
3.135
\(\int \frac{A+B x^2}{x^3 \sqrt{b x^2+c x^4}} \, dx\)
3.136
\(\int \frac{A+B x^2}{x^5 \sqrt{b x^2+c x^4}} \, dx\)
3.137
\(\int \frac{A+B x^2}{x^7 \sqrt{b x^2+c x^4}} \, dx\)
3.138
\(\int \frac{A+B x^2}{x^9 \sqrt{b x^2+c x^4}} \, dx\)
3.139
\(\int \frac{x^6 (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.140
\(\int \frac{x^4 (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.141
\(\int \frac{x^2 (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.142
\(\int \frac{A+B x^2}{\sqrt{b x^2+c x^4}} \, dx\)
3.143
\(\int \frac{A+B x^2}{x^2 \sqrt{b x^2+c x^4}} \, dx\)
3.144
\(\int \frac{A+B x^2}{x^4 \sqrt{b x^2+c x^4}} \, dx\)
3.145
\(\int \frac{x^9 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.146
\(\int \frac{x^7 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.147
\(\int \frac{x^5 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.148
\(\int \frac{x^3 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.149
\(\int \frac{x (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.150
\(\int \frac{A+B x^2}{x (b x^2+c x^4)^{3/2}} \, dx\)
3.151
\(\int \frac{A+B x^2}{x^3 (b x^2+c x^4)^{3/2}} \, dx\)
3.152
\(\int \frac{A+B x^2}{x^5 (b x^2+c x^4)^{3/2}} \, dx\)
3.153
\(\int \frac{x^8 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.154
\(\int \frac{x^6 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.155
\(\int \frac{x^4 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.156
\(\int \frac{x^2 (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.157
\(\int \frac{A+B x^2}{(b x^2+c x^4)^{3/2}} \, dx\)
3.158
\(\int \frac{A+B x^2}{x^2 (b x^2+c x^4)^{3/2}} \, dx\)
3.159
\(\int x^{7/2} (A+B x^2) (b x^2+c x^4) \, dx\)
3.160
\(\int x^{5/2} (A+B x^2) (b x^2+c x^4) \, dx\)
3.161
\(\int x^{3/2} (A+B x^2) (b x^2+c x^4) \, dx\)
3.162
\(\int \sqrt{x} (A+B x^2) (b x^2+c x^4) \, dx\)
3.163
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{\sqrt{x}} \, dx\)
3.164
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^{3/2}} \, dx\)
3.165
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^{5/2}} \, dx\)
3.166
\(\int \frac{(A+B x^2) (b x^2+c x^4)}{x^{7/2}} \, dx\)
3.167
\(\int x^{7/2} (A+B x^2) (b x^2+c x^4)^2 \, dx\)
3.168
\(\int x^{5/2} (A+B x^2) (b x^2+c x^4)^2 \, dx\)
3.169
\(\int x^{3/2} (A+B x^2) (b x^2+c x^4)^2 \, dx\)
3.170
\(\int \sqrt{x} (A+B x^2) (b x^2+c x^4)^2 \, dx\)
3.171
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{\sqrt{x}} \, dx\)
3.172
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^{3/2}} \, dx\)
3.173
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^{5/2}} \, dx\)
3.174
\(\int \frac{(A+B x^2) (b x^2+c x^4)^2}{x^{7/2}} \, dx\)
3.175
\(\int x^{7/2} (A+B x^2) (b x^2+c x^4)^3 \, dx\)
3.176
\(\int x^{5/2} (A+B x^2) (b x^2+c x^4)^3 \, dx\)
3.177
\(\int x^{3/2} (A+B x^2) (b x^2+c x^4)^3 \, dx\)
3.178
\(\int \sqrt{x} (A+B x^2) (b x^2+c x^4)^3 \, dx\)
3.179
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{\sqrt{x}} \, dx\)
3.180
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{3/2}} \, dx\)
3.181
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{5/2}} \, dx\)
3.182
\(\int \frac{(A+B x^2) (b x^2+c x^4)^3}{x^{7/2}} \, dx\)
3.183
\(\int \frac{x^{13/2} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.184
\(\int \frac{x^{11/2} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.185
\(\int \frac{x^{9/2} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.186
\(\int \frac{x^{7/2} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.187
\(\int \frac{x^{5/2} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.188
\(\int \frac{x^{3/2} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.189
\(\int \frac{\sqrt{x} (A+B x^2)}{b x^2+c x^4} \, dx\)
3.190
\(\int \frac{A+B x^2}{\sqrt{x} (b x^2+c x^4)} \, dx\)
3.191
\(\int \frac{A+B x^2}{x^{3/2} (b x^2+c x^4)} \, dx\)
3.192
\(\int \frac{A+B x^2}{x^{5/2} (b x^2+c x^4)} \, dx\)
3.193
\(\int \frac{A+B x^2}{x^{7/2} (b x^2+c x^4)} \, dx\)
3.194
\(\int \frac{A+B x^2}{x^{9/2} (b x^2+c x^4)} \, dx\)
3.195
\(\int \frac{x^{19/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.196
\(\int \frac{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.197
\(\int \frac{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.198
\(\int \frac{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.199
\(\int \frac{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.200
\(\int \frac{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.201
\(\int \frac{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.202
\(\int \frac{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.203
\(\int \frac{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.204
\(\int \frac{\sqrt{x} (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.205
\(\int \frac{A+B x^2}{\sqrt{x} (b x^2+c x^4)^2} \, dx\)
3.206
\(\int \frac{A+B x^2}{x^{3/2} (b x^2+c x^4)^2} \, dx\)
3.207
\(\int \frac{x^{23/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.208
\(\int \frac{x^{21/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.209
\(\int \frac{x^{19/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.210
\(\int \frac{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.211
\(\int \frac{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.212
\(\int \frac{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.213
\(\int \frac{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.214
\(\int \frac{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.215
\(\int \frac{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.216
\(\int \frac{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.217
\(\int \frac{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.218
\(\int \frac{\sqrt{x} (A+B x^2)}{(b x^2+c x^4)^3} \, dx\)
3.219
\(\int \frac{A+B x^2}{\sqrt{x} (b x^2+c x^4)^3} \, dx\)
3.220
\(\int x^{5/2} (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.221
\(\int x^{3/2} (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.222
\(\int \sqrt{x} (A+B x^2) \sqrt{b x^2+c x^4} \, dx\)
3.223
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{\sqrt{x}} \, dx\)
3.224
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{3/2}} \, dx\)
3.225
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{5/2}} \, dx\)
3.226
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{7/2}} \, dx\)
3.227
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{9/2}} \, dx\)
3.228
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{11/2}} \, dx\)
3.229
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{13/2}} \, dx\)
3.230
\(\int \frac{(A+B x^2) \sqrt{b x^2+c x^4}}{x^{15/2}} \, dx\)
3.231
\(\int x^{7/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.232
\(\int x^{5/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.233
\(\int x^{3/2} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.234
\(\int \sqrt{x} (A+B x^2) (b x^2+c x^4)^{3/2} \, dx\)
3.235
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{\sqrt{x}} \, dx\)
3.236
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{3/2}} \, dx\)
3.237
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{5/2}} \, dx\)
3.238
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{7/2}} \, dx\)
3.239
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{9/2}} \, dx\)
3.240
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{11/2}} \, dx\)
3.241
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{13/2}} \, dx\)
3.242
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{15/2}} \, dx\)
3.243
\(\int \frac{(A+B x^2) (b x^2+c x^4)^{3/2}}{x^{17/2}} \, dx\)
3.244
\(\int \frac{x^{13/2} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.245
\(\int \frac{x^{11/2} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.246
\(\int \frac{x^{9/2} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.247
\(\int \frac{x^{7/2} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.248
\(\int \frac{x^{5/2} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.249
\(\int \frac{x^{3/2} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.250
\(\int \frac{\sqrt{x} (A+B x^2)}{\sqrt{b x^2+c x^4}} \, dx\)
3.251
\(\int \frac{A+B x^2}{\sqrt{x} \sqrt{b x^2+c x^4}} \, dx\)
3.252
\(\int \frac{A+B x^2}{x^{3/2} \sqrt{b x^2+c x^4}} \, dx\)
3.253
\(\int \frac{A+B x^2}{x^{5/2} \sqrt{b x^2+c x^4}} \, dx\)
3.254
\(\int \frac{A+B x^2}{x^{7/2} \sqrt{b x^2+c x^4}} \, dx\)
3.255
\(\int \frac{A+B x^2}{x^{9/2} \sqrt{b x^2+c x^4}} \, dx\)
3.256
\(\int \frac{A+B x^2}{x^{11/2} \sqrt{b x^2+c x^4}} \, dx\)
3.257
\(\int \frac{x^{17/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.258
\(\int \frac{x^{15/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.259
\(\int \frac{x^{13/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.260
\(\int \frac{x^{11/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.261
\(\int \frac{x^{9/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.262
\(\int \frac{x^{7/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.263
\(\int \frac{x^{5/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.264
\(\int \frac{x^{3/2} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.265
\(\int \frac{\sqrt{x} (A+B x^2)}{(b x^2+c x^4)^{3/2}} \, dx\)
3.266
\(\int \frac{A+B x^2}{\sqrt{x} (b x^2+c x^4)^{3/2}} \, dx\)
3.267
\(\int \frac{A+B x^2}{x^{3/2} (b x^2+c x^4)^{3/2}} \, dx\)
3.268
\(\int \frac{A+B x^2}{x^{5/2} (b x^2+c x^4)^{3/2}} \, dx\)
3.269
\(\int x^m (A+B x^2) (b x^2+c x^4)^3 \, dx\)
3.270
\(\int x^m (A+B x^2) (b x^2+c x^4)^2 \, dx\)
3.271
\(\int x^m (A+B x^2) (b x^2+c x^4) \, dx\)
3.272
\(\int \frac{x^m (A+B x^2)}{b x^2+c x^4} \, dx\)
3.273
\(\int \frac{x^m (A+B x^2)}{(b x^2+c x^4)^2} \, dx\)
3.274
\(\int x^m (A+B x^2) (b x^2+c x^4)^p \, dx\)
3.275
\(\int x^{-1+n-j p} (c+d x^n) (a x^j+b x^{j+n})^p \, dx\)
3.276
\(\int (e x)^m (c+d x^n)^q (a x^j+b x^{j+n})^p \, dx\)
3.277
\(\int (e x)^{7/4} (c+d x^n)^q (a x^j+b x^{j+n})^{5/3} \, dx\)
3.278
\(\int \frac{4+3 x^4}{5 x+2 x^5} \, dx\)
3.279
\(\int \frac{1+x^6}{x-x^7} \, dx\)
3.280
\(\int \frac{8+5 x^{10}}{2 x-x^{11}} \, dx\)
3.281
\(\int \frac{-3+2 x}{-x^2+x^3} \, dx\)
3.282
\(\int \frac{a x^m+b x^n}{c x^m+d x^n} \, dx\)
3.283
\(\int x^m (a+b x^n)^p (a (1+m+q) x^q+b (1+m+n (1+p)+q) x^{n+q}) \, dx\)
3.284
\(\int \frac{(a+\frac{b}{x})^n x^m}{c+d x} \, dx\)
3.285
\(\int \frac{(a+\frac{b}{x})^n x^2}{c+d x} \, dx\)
3.286
\(\int \frac{(a+\frac{b}{x})^n x}{c+d x} \, dx\)
3.287
\(\int \frac{(a+\frac{b}{x})^n}{c+d x} \, dx\)
3.288
\(\int \frac{(a+\frac{b}{x})^n}{x (c+d x)} \, dx\)
3.289
\(\int \frac{(a+\frac{b}{x})^n}{x^2 (c+d x)} \, dx\)
3.290
\(\int \frac{(a+\frac{b}{x})^n}{x^3 (c+d x)} \, dx\)
3.291
\(\int \frac{(a+\frac{b}{x})^n}{x^5 (c+d x)} \, dx\)
3.292
\(\int \frac{(a+\frac{b}{x})^n x^m}{(c+d x)^2} \, dx\)
3.293
\(\int \frac{(a+\frac{b}{x})^n x^2}{(c+d x)^2} \, dx\)
3.294
\(\int \frac{(a+\frac{b}{x})^n x}{(c+d x)^2} \, dx\)
3.295
\(\int \frac{(a+\frac{b}{x})^n}{(c+d x)^2} \, dx\)
3.296
\(\int \frac{(a+\frac{b}{x})^n}{x (c+d x)^2} \, dx\)
3.297
\(\int \frac{(a+\frac{b}{x})^n}{x^2 (c+d x)^2} \, dx\)
3.298
\(\int \frac{(a+\frac{b}{x})^n}{x^3 (c+d x)^2} \, dx\)
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