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Chapter 3
Listing of integrals
3.1
\(\int (a x^3+b x^6)^{5/3} \, dx\)
3.2
\(\int (a x^3+b x^6)^{2/3} \, dx\)
3.3
\(\int \frac{1}{(a x^3+b x^6)^{2/3}} \, dx\)
3.4
\(\int \frac{1}{(a x^3+b x^6)^{5/3}} \, dx\)
3.5
\(\int \frac{1}{-x^3+x^6} \, dx\)
3.6
\(\int x^5 \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.7
\(\int x^4 \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.8
\(\int x^3 \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.9
\(\int x^2 \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.10
\(\int x \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.11
\(\int \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.12
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x} \, dx\)
3.13
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^2} \, dx\)
3.14
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^3} \, dx\)
3.15
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^4} \, dx\)
3.16
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^5} \, dx\)
3.17
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^6} \, dx\)
3.18
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^7} \, dx\)
3.19
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^8} \, dx\)
3.20
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^9} \, dx\)
3.21
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^{10}} \, dx\)
3.22
\(\int \frac{\sqrt{a^2+2 a b x^3+b^2 x^6}}{x^{11}} \, dx\)
3.23
\(\int x^9 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.24
\(\int x^8 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.25
\(\int x^7 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.26
\(\int x^6 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.27
\(\int x^5 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.28
\(\int x^4 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.29
\(\int x^3 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.30
\(\int x^2 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.31
\(\int x (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.32
\(\int (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.33
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x} \, dx\)
3.34
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^2} \, dx\)
3.35
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^3} \, dx\)
3.36
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^4} \, dx\)
3.37
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^5} \, dx\)
3.38
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^6} \, dx\)
3.39
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^7} \, dx\)
3.40
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^8} \, dx\)
3.41
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^9} \, dx\)
3.42
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{10}} \, dx\)
3.43
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{11}} \, dx\)
3.44
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{12}} \, dx\)
3.45
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{13}} \, dx\)
3.46
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{14}} \, dx\)
3.47
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{15}} \, dx\)
3.48
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{16}} \, dx\)
3.49
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{17}} \, dx\)
3.50
\(\int x^{13} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.51
\(\int x^{12} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.52
\(\int x^{11} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.53
\(\int x^{10} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.54
\(\int x^9 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.55
\(\int x^8 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.56
\(\int x^7 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.57
\(\int x^6 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.58
\(\int x^5 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.59
\(\int x^4 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.60
\(\int x^3 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.61
\(\int x^2 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.62
\(\int x (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.63
\(\int (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.64
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x} \, dx\)
3.65
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^2} \, dx\)
3.66
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^3} \, dx\)
3.67
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^4} \, dx\)
3.68
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^5} \, dx\)
3.69
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^6} \, dx\)
3.70
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^7} \, dx\)
3.71
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^8} \, dx\)
3.72
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^9} \, dx\)
3.73
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{10}} \, dx\)
3.74
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{11}} \, dx\)
3.75
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{12}} \, dx\)
3.76
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{13}} \, dx\)
3.77
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{14}} \, dx\)
3.78
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{15}} \, dx\)
3.79
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{16}} \, dx\)
3.80
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{17}} \, dx\)
3.81
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{18}} \, dx\)
3.82
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{19}} \, dx\)
3.83
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{20}} \, dx\)
3.84
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{21}} \, dx\)
3.85
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{22}} \, dx\)
3.86
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{23}} \, dx\)
3.87
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{24}} \, dx\)
3.88
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{25}} \, dx\)
3.89
\(\int \frac{x^4}{\sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.90
\(\int \frac{x^3}{\sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.91
\(\int \frac{x^2}{\sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.92
\(\int \frac{x}{\sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.93
\(\int \frac{1}{\sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.94
\(\int \frac{1}{x \sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.95
\(\int \frac{1}{x^2 \sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.96
\(\int \frac{1}{x^3 \sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.97
\(\int \frac{1}{x^4 \sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.98
\(\int \frac{x^4}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.99
\(\int \frac{x^3}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.100
\(\int \frac{x^2}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.101
\(\int \frac{x}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.102
\(\int \frac{1}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.103
\(\int \frac{1}{x (a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.104
\(\int \frac{1}{x^2 (a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.105
\(\int \frac{1}{x^3 (a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.106
\(\int \frac{1}{x^4 (a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.107
\(\int \frac{x^6}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.108
\(\int \frac{x^5}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.109
\(\int \frac{x^4}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.110
\(\int \frac{x^3}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.111
\(\int \frac{x^2}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.112
\(\int \frac{x}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.113
\(\int \frac{1}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.114
\(\int \frac{1}{x (a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.115
\(\int \frac{1}{x^2 (a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.116
\(\int \frac{1}{x^3 (a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.117
\(\int \frac{1}{x^4 (a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.118
\(\int (d x)^m (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
3.119
\(\int (d x)^m (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
3.120
\(\int (d x)^m \sqrt{a^2+2 a b x^3+b^2 x^6} \, dx\)
3.121
\(\int \frac{(d x)^m}{\sqrt{a^2+2 a b x^3+b^2 x^6}} \, dx\)
3.122
\(\int \frac{(d x)^m}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
3.123
\(\int \frac{(d x)^m}{(a^2+2 a b x^3+b^2 x^6)^{5/2}} \, dx\)
3.124
\(\int (d x)^m (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.125
\(\int x^{11} (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.126
\(\int x^8 (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.127
\(\int x^5 (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.128
\(\int x^4 (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.129
\(\int x^3 (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.130
\(\int x^2 (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.131
\(\int x (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.132
\(\int (a^2+2 a b x^3+b^2 x^6)^p \, dx\)
3.133
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^p}{x} \, dx\)
3.134
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^p}{x^2} \, dx\)
3.135
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^p}{x^3} \, dx\)
3.136
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^p}{x^4} \, dx\)
3.137
\(\int \frac{(a^2+2 a b x^3+b^2 x^6)^p}{x^5} \, dx\)
3.138
\(\int \frac{x^8}{a+b x^3+c x^6} \, dx\)
3.139
\(\int \frac{x^5}{a+b x^3+c x^6} \, dx\)
3.140
\(\int \frac{x^2}{a+b x^3+c x^6} \, dx\)
3.141
\(\int \frac{1}{x (a+b x^3+c x^6)} \, dx\)
3.142
\(\int \frac{1}{x^4 (a+b x^3+c x^6)} \, dx\)
3.143
\(\int \frac{x^7}{a+b x^3+c x^6} \, dx\)
3.144
\(\int \frac{x^6}{a+b x^3+c x^6} \, dx\)
3.145
\(\int \frac{x^4}{a+b x^3+c x^6} \, dx\)
3.146
\(\int \frac{x^3}{a+b x^3+c x^6} \, dx\)
3.147
\(\int \frac{x}{a+b x^3+c x^6} \, dx\)
3.148
\(\int \frac{1}{a+b x^3+c x^6} \, dx\)
3.149
\(\int \frac{1}{x^2 (a+b x^3+c x^6)} \, dx\)
3.150
\(\int \frac{1}{x^3 (a+b x^3+c x^6)} \, dx\)
3.151
\(\int \frac{x^{11}}{3+4 x^3+x^6} \, dx\)
3.152
\(\int \frac{x^8}{3+4 x^3+x^6} \, dx\)
3.153
\(\int \frac{x^5}{3+4 x^3+x^6} \, dx\)
3.154
\(\int \frac{x^2}{3+4 x^3+x^6} \, dx\)
3.155
\(\int \frac{1}{x (3+4 x^3+x^6)} \, dx\)
3.156
\(\int \frac{1}{x^4 (3+4 x^3+x^6)} \, dx\)
3.157
\(\int \frac{1}{x^7 (3+4 x^3+x^6)} \, dx\)
3.158
\(\int \frac{x^{10}}{3+4 x^3+x^6} \, dx\)
3.159
\(\int \frac{x^9}{3+4 x^3+x^6} \, dx\)
3.160
\(\int \frac{x^7}{3+4 x^3+x^6} \, dx\)
3.161
\(\int \frac{x^6}{3+4 x^3+x^6} \, dx\)
3.162
\(\int \frac{x^4}{3+4 x^3+x^6} \, dx\)
3.163
\(\int \frac{x^3}{3+4 x^3+x^6} \, dx\)
3.164
\(\int \frac{x}{3+4 x^3+x^6} \, dx\)
3.165
\(\int \frac{1}{3+4 x^3+x^6} \, dx\)
3.166
\(\int \frac{1}{x^2 (3+4 x^3+x^6)} \, dx\)
3.167
\(\int \frac{1}{x^3 (3+4 x^3+x^6)} \, dx\)
3.168
\(\int \frac{1}{x^5 (3+4 x^3+x^6)} \, dx\)
3.169
\(\int \frac{1}{x^6 (3+4 x^3+x^6)} \, dx\)
3.170
\(\int \frac{x^6}{1-x^3+x^6} \, dx\)
3.171
\(\int \frac{x^5}{1-x^3+x^6} \, dx\)
3.172
\(\int \frac{x^4}{1-x^3+x^6} \, dx\)
3.173
\(\int \frac{x^3}{1-x^3+x^6} \, dx\)
3.174
\(\int \frac{x^2}{1-x^3+x^6} \, dx\)
3.175
\(\int \frac{x}{1-x^3+x^6} \, dx\)
3.176
\(\int \frac{1}{1-x^3+x^6} \, dx\)
3.177
\(\int \frac{1}{x (1-x^3+x^6)} \, dx\)
3.178
\(\int \frac{1}{x^2 (1-x^3+x^6)} \, dx\)
3.179
\(\int \frac{1}{x^3 (1-x^3+x^6)} \, dx\)
3.180
\(\int \frac{1}{x^4 (1-x^3+x^6)} \, dx\)
3.181
\(\int \frac{1}{x^5 (1-x^3+x^6)} \, dx\)
3.182
\(\int \frac{1}{2+x^3+x^6} \, dx\)
3.183
\(\int \frac{x^2}{2+x^3+x^6} \, dx\)
3.184
\(\int \frac{x^3}{2+x^3+x^6} \, dx\)
3.185
\(\int x^{14} \sqrt{a+b x^3+c x^6} \, dx\)
3.186
\(\int x^{11} \sqrt{a+b x^3+c x^6} \, dx\)
3.187
\(\int x^8 \sqrt{a+b x^3+c x^6} \, dx\)
3.188
\(\int x^5 \sqrt{a+b x^3+c x^6} \, dx\)
3.189
\(\int x^2 \sqrt{a+b x^3+c x^6} \, dx\)
3.190
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x} \, dx\)
3.191
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^4} \, dx\)
3.192
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^7} \, dx\)
3.193
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^{10}} \, dx\)
3.194
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^{13}} \, dx\)
3.195
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^{16}} \, dx\)
3.196
\(\int x^3 \sqrt{a+b x^3+c x^6} \, dx\)
3.197
\(\int x \sqrt{a+b x^3+c x^6} \, dx\)
3.198
\(\int \sqrt{a+b x^3+c x^6} \, dx\)
3.199
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^2} \, dx\)
3.200
\(\int \frac{\sqrt{a+b x^3+c x^6}}{x^3} \, dx\)
3.201
\(\int x^{14} (a+b x^3+c x^6)^{3/2} \, dx\)
3.202
\(\int x^{11} (a+b x^3+c x^6)^{3/2} \, dx\)
3.203
\(\int x^8 (a+b x^3+c x^6)^{3/2} \, dx\)
3.204
\(\int x^5 (a+b x^3+c x^6)^{3/2} \, dx\)
3.205
\(\int x^2 (a+b x^3+c x^6)^{3/2} \, dx\)
3.206
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x} \, dx\)
3.207
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^4} \, dx\)
3.208
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^7} \, dx\)
3.209
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^{10}} \, dx\)
3.210
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^{13}} \, dx\)
3.211
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^{16}} \, dx\)
3.212
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^{19}} \, dx\)
3.213
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^{22}} \, dx\)
3.214
\(\int x^3 (a+b x^3+c x^6)^{3/2} \, dx\)
3.215
\(\int x (a+b x^3+c x^6)^{3/2} \, dx\)
3.216
\(\int (a+b x^3+c x^6)^{3/2} \, dx\)
3.217
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^2} \, dx\)
3.218
\(\int \frac{(a+b x^3+c x^6)^{3/2}}{x^3} \, dx\)
3.219
\(\int \frac{x^{14}}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.220
\(\int \frac{x^{11}}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.221
\(\int \frac{x^8}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.222
\(\int \frac{x^5}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.223
\(\int \frac{x^2}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.224
\(\int \frac{1}{x \sqrt{a+b x^3+c x^6}} \, dx\)
3.225
\(\int \frac{1}{x^4 \sqrt{a+b x^3+c x^6}} \, dx\)
3.226
\(\int \frac{1}{x^7 \sqrt{a+b x^3+c x^6}} \, dx\)
3.227
\(\int \frac{1}{x^{10} \sqrt{a+b x^3+c x^6}} \, dx\)
3.228
\(\int \frac{1}{x^{13} \sqrt{a+b x^3+c x^6}} \, dx\)
3.229
\(\int \frac{x^3}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.230
\(\int \frac{x}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.231
\(\int \frac{1}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.232
\(\int \frac{1}{x^2 \sqrt{a+b x^3+c x^6}} \, dx\)
3.233
\(\int \frac{1}{x^3 \sqrt{a+b x^3+c x^6}} \, dx\)
3.234
\(\int \frac{x^{14}}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.235
\(\int \frac{x^{11}}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.236
\(\int \frac{x^8}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.237
\(\int \frac{x^5}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.238
\(\int \frac{x^2}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.239
\(\int \frac{1}{x (a+b x^3+c x^6)^{3/2}} \, dx\)
3.240
\(\int \frac{1}{x^4 (a+b x^3+c x^6)^{3/2}} \, dx\)
3.241
\(\int \frac{1}{x^7 (a+b x^3+c x^6)^{3/2}} \, dx\)
3.242
\(\int \frac{1}{x^{10} (a+b x^3+c x^6)^{3/2}} \, dx\)
3.243
\(\int \frac{x^3}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.244
\(\int \frac{x}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.245
\(\int \frac{1}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.246
\(\int \frac{1}{x^2 (a+b x^3+c x^6)^{3/2}} \, dx\)
3.247
\(\int \frac{1}{x^3 (a+b x^3+c x^6)^{3/2}} \, dx\)
3.248
\(\int (d x)^m (a+b x^3+c x^6)^2 \, dx\)
3.249
\(\int (d x)^m (a+b x^3+c x^6) \, dx\)
3.250
\(\int \frac{(d x)^m}{a+b x^3+c x^6} \, dx\)
3.251
\(\int \frac{(d x)^m}{(a+b x^3+c x^6)^2} \, dx\)
3.252
\(\int (d x)^m (a+b x^3+c x^6)^{3/2} \, dx\)
3.253
\(\int (d x)^m \sqrt{a+b x^3+c x^6} \, dx\)
3.254
\(\int \frac{(d x)^m}{\sqrt{a+b x^3+c x^6}} \, dx\)
3.255
\(\int \frac{(d x)^m}{(a+b x^3+c x^6)^{3/2}} \, dx\)
3.256
\(\int (d x)^m (a+b x^3+c x^6)^p \, dx\)
3.257
\(\int x^8 (a+b x^3+c x^6)^p \, dx\)
3.258
\(\int x^5 (a+b x^3+c x^6)^p \, dx\)
3.259
\(\int x^2 (a+b x^3+c x^6)^p \, dx\)
3.260
\(\int x^4 (a+b x^3+c x^6)^p \, dx\)
3.261
\(\int x^3 (a+b x^3+c x^6)^p \, dx\)
3.262
\(\int x (a+b x^3+c x^6)^p \, dx\)
3.263
\(\int (a+b x^3+c x^6)^p \, dx\)
3.264
\(\int \frac{(a+b x^3+c x^6)^p}{x} \, dx\)
3.265
\(\int \frac{(a+b x^3+c x^6)^p}{x^2} \, dx\)
3.266
\(\int \frac{(a+b x^3+c x^6)^p}{x^3} \, dx\)
3.267
\(\int \frac{(a+b x^3+c x^6)^p}{x^4} \, dx\)
3.268
\(\int \frac{(a+b x^3+c x^6)^p}{x^5} \, dx\)
3.269
\(\int \frac{(a+b x^3+c x^6)^p}{x^6} \, dx\)
3.270
\(\int \frac{(a+b x^3+c x^6)^p}{x^7} \, dx\)
3.271
\(\int \frac{x^m}{1+2 x^4+x^8} \, dx\)
3.272
\(\int \frac{x^9}{1+2 x^4+x^8} \, dx\)
3.273
\(\int \frac{x^7}{1+2 x^4+x^8} \, dx\)
3.274
\(\int \frac{x^5}{1+2 x^4+x^8} \, dx\)
3.275
\(\int \frac{x^3}{1+2 x^4+x^8} \, dx\)
3.276
\(\int \frac{x}{1+2 x^4+x^8} \, dx\)
3.277
\(\int \frac{1}{x (1+2 x^4+x^8)} \, dx\)
3.278
\(\int \frac{1}{x^3 (1+2 x^4+x^8)} \, dx\)
3.279
\(\int \frac{1}{x^5 (1+2 x^4+x^8)} \, dx\)
3.280
\(\int \frac{1}{x^7 (1+2 x^4+x^8)} \, dx\)
3.281
\(\int \frac{x^8}{1+2 x^4+x^8} \, dx\)
3.282
\(\int \frac{x^6}{1+2 x^4+x^8} \, dx\)
3.283
\(\int \frac{x^4}{1+2 x^4+x^8} \, dx\)
3.284
\(\int \frac{x^2}{1+2 x^4+x^8} \, dx\)
3.285
\(\int \frac{1}{1+2 x^4+x^8} \, dx\)
3.286
\(\int \frac{1}{x^2 (1+2 x^4+x^8)} \, dx\)
3.287
\(\int \frac{1}{x^4 (1+2 x^4+x^8)} \, dx\)
3.288
\(\int \frac{1}{x^6 (1+2 x^4+x^8)} \, dx\)
3.289
\(\int \frac{1}{x^8 (1+2 x^4+x^8)} \, dx\)
3.290
\(\int \frac{x^m}{1-2 x^4+x^8} \, dx\)
3.291
\(\int \frac{x^9}{1-2 x^4+x^8} \, dx\)
3.292
\(\int \frac{x^7}{1-2 x^4+x^8} \, dx\)
3.293
\(\int \frac{x^5}{1-2 x^4+x^8} \, dx\)
3.294
\(\int \frac{x^3}{1-2 x^4+x^8} \, dx\)
3.295
\(\int \frac{x}{1-2 x^4+x^8} \, dx\)
3.296
\(\int \frac{1}{x (1-2 x^4+x^8)} \, dx\)
3.297
\(\int \frac{1}{x^3 (1-2 x^4+x^8)} \, dx\)
3.298
\(\int \frac{1}{x^5 (1-2 x^4+x^8)} \, dx\)
3.299
\(\int \frac{1}{x^7 (1-2 x^4+x^8)} \, dx\)
3.300
\(\int \frac{x^8}{1-2 x^4+x^8} \, dx\)
3.301
\(\int \frac{x^6}{1-2 x^4+x^8} \, dx\)
3.302
\(\int \frac{x^4}{1-2 x^4+x^8} \, dx\)
3.303
\(\int \frac{x^2}{1-2 x^4+x^8} \, dx\)
3.304
\(\int \frac{1}{1-2 x^4+x^8} \, dx\)
3.305
\(\int \frac{1}{x^2 (1-2 x^4+x^8)} \, dx\)
3.306
\(\int \frac{1}{x^4 (1-2 x^4+x^8)} \, dx\)
3.307
\(\int \frac{1}{x^6 (1-2 x^4+x^8)} \, dx\)
3.308
\(\int \frac{1}{x^8 (1-2 x^4+x^8)} \, dx\)
3.309
\(\int \frac{x^m}{a+b x^4+c x^8} \, dx\)
3.310
\(\int \frac{x^{11}}{a+b x^4+c x^8} \, dx\)
3.311
\(\int \frac{x^9}{a+b x^4+c x^8} \, dx\)
3.312
\(\int \frac{x^7}{a+b x^4+c x^8} \, dx\)
3.313
\(\int \frac{x^5}{a+b x^4+c x^8} \, dx\)
3.314
\(\int \frac{x^3}{a+b x^4+c x^8} \, dx\)
3.315
\(\int \frac{x}{a+b x^4+c x^8} \, dx\)
3.316
\(\int \frac{1}{x (a+b x^4+c x^8)} \, dx\)
3.317
\(\int \frac{1}{x^3 (a+b x^4+c x^8)} \, dx\)
3.318
\(\int \frac{1}{x^5 (a+b x^4+c x^8)} \, dx\)
3.319
\(\int \frac{x^{10}}{a+b x^4+c x^8} \, dx\)
3.320
\(\int \frac{x^8}{a+b x^4+c x^8} \, dx\)
3.321
\(\int \frac{x^6}{a+b x^4+c x^8} \, dx\)
3.322
\(\int \frac{x^4}{a+b x^4+c x^8} \, dx\)
3.323
\(\int \frac{x^2}{a+b x^4+c x^8} \, dx\)
3.324
\(\int \frac{1}{a+b x^4+c x^8} \, dx\)
3.325
\(\int \frac{1}{x^2 (a+b x^4+c x^8)} \, dx\)
3.326
\(\int \frac{1}{x^4 (a+b x^4+c x^8)} \, dx\)
3.327
\(\int \frac{x^m}{1+x^4+x^8} \, dx\)
3.328
\(\int \frac{x^{11}}{1+x^4+x^8} \, dx\)
3.329
\(\int \frac{x^9}{1+x^4+x^8} \, dx\)
3.330
\(\int \frac{x^7}{1+x^4+x^8} \, dx\)
3.331
\(\int \frac{x^5}{1+x^4+x^8} \, dx\)
3.332
\(\int \frac{x^3}{1+x^4+x^8} \, dx\)
3.333
\(\int \frac{x}{1+x^4+x^8} \, dx\)
3.334
\(\int \frac{1}{x (1+x^4+x^8)} \, dx\)
3.335
\(\int \frac{1}{x^3 (1+x^4+x^8)} \, dx\)
3.336
\(\int \frac{1}{x^5 (1+x^4+x^8)} \, dx\)
3.337
\(\int \frac{1}{x^7 (1+x^4+x^8)} \, dx\)
3.338
\(\int \frac{x^8}{1+x^4+x^8} \, dx\)
3.339
\(\int \frac{x^6}{1+x^4+x^8} \, dx\)
3.340
\(\int \frac{x^4}{1+x^4+x^8} \, dx\)
3.341
\(\int \frac{x^2}{1+x^4+x^8} \, dx\)
3.342
\(\int \frac{1}{1+x^4+x^8} \, dx\)
3.343
\(\int \frac{1}{x^2 (1+x^4+x^8)} \, dx\)
3.344
\(\int \frac{1}{x^4 (1+x^4+x^8)} \, dx\)
3.345
\(\int \frac{1}{x^6 (1+x^4+x^8)} \, dx\)
3.346
\(\int \frac{1}{x^8 (1+x^4+x^8)} \, dx\)
3.347
\(\int \frac{x^m}{1-x^4+x^8} \, dx\)
3.348
\(\int \frac{x^{11}}{1-x^4+x^8} \, dx\)
3.349
\(\int \frac{x^9}{1-x^4+x^8} \, dx\)
3.350
\(\int \frac{x^7}{1-x^4+x^8} \, dx\)
3.351
\(\int \frac{x^5}{1-x^4+x^8} \, dx\)
3.352
\(\int \frac{x^3}{1-x^4+x^8} \, dx\)
3.353
\(\int \frac{x}{1-x^4+x^8} \, dx\)
3.354
\(\int \frac{1}{x (1-x^4+x^8)} \, dx\)
3.355
\(\int \frac{1}{x^3 (1-x^4+x^8)} \, dx\)
3.356
\(\int \frac{1}{x^5 (1-x^4+x^8)} \, dx\)
3.357
\(\int \frac{1}{x^7 (1-x^4+x^8)} \, dx\)
3.358
\(\int \frac{x^8}{1-x^4+x^8} \, dx\)
3.359
\(\int \frac{x^6}{1-x^4+x^8} \, dx\)
3.360
\(\int \frac{x^4}{1-x^4+x^8} \, dx\)
3.361
\(\int \frac{x^2}{1-x^4+x^8} \, dx\)
3.362
\(\int \frac{1}{1-x^4+x^8} \, dx\)
3.363
\(\int \frac{1}{x^2 (1-x^4+x^8)} \, dx\)
3.364
\(\int \frac{1}{x^4 (1-x^4+x^8)} \, dx\)
3.365
\(\int \frac{1}{x^6 (1-x^4+x^8)} \, dx\)
3.366
\(\int \frac{1}{x^8 (1-x^4+x^8)} \, dx\)
3.367
\(\int \frac{x^m}{1+3 x^4+x^8} \, dx\)
3.368
\(\int \frac{x^{11}}{1+3 x^4+x^8} \, dx\)
3.369
\(\int \frac{x^9}{1+3 x^4+x^8} \, dx\)
3.370
\(\int \frac{x^7}{1+3 x^4+x^8} \, dx\)
3.371
\(\int \frac{x^5}{1+3 x^4+x^8} \, dx\)
3.372
\(\int \frac{x^3}{1+3 x^4+x^8} \, dx\)
3.373
\(\int \frac{x}{1+3 x^4+x^8} \, dx\)
3.374
\(\int \frac{1}{x (1+3 x^4+x^8)} \, dx\)
3.375
\(\int \frac{1}{x^3 (1+3 x^4+x^8)} \, dx\)
3.376
\(\int \frac{1}{x^5 (1+3 x^4+x^8)} \, dx\)
3.377
\(\int \frac{1}{x^7 (1+3 x^4+x^8)} \, dx\)
3.378
\(\int \frac{x^8}{1+3 x^4+x^8} \, dx\)
3.379
\(\int \frac{x^6}{1+3 x^4+x^8} \, dx\)
3.380
\(\int \frac{x^4}{1+3 x^4+x^8} \, dx\)
3.381
\(\int \frac{x^2}{1+3 x^4+x^8} \, dx\)
3.382
\(\int \frac{1}{1+3 x^4+x^8} \, dx\)
3.383
\(\int \frac{1}{x^2 (1+3 x^4+x^8)} \, dx\)
3.384
\(\int \frac{1}{x^4 (1+3 x^4+x^8)} \, dx\)
3.385
\(\int \frac{x^m}{1-3 x^4+x^8} \, dx\)
3.386
\(\int \frac{x^{11}}{1-3 x^4+x^8} \, dx\)
3.387
\(\int \frac{x^9}{1-3 x^4+x^8} \, dx\)
3.388
\(\int \frac{x^7}{1-3 x^4+x^8} \, dx\)
3.389
\(\int \frac{x^5}{1-3 x^4+x^8} \, dx\)
3.390
\(\int \frac{x^3}{1-3 x^4+x^8} \, dx\)
3.391
\(\int \frac{x}{1-3 x^4+x^8} \, dx\)
3.392
\(\int \frac{1}{x (1-3 x^4+x^8)} \, dx\)
3.393
\(\int \frac{1}{x^3 (1-3 x^4+x^8)} \, dx\)
3.394
\(\int \frac{1}{x^5 (1-3 x^4+x^8)} \, dx\)
3.395
\(\int \frac{1}{x^7 (1-3 x^4+x^8)} \, dx\)
3.396
\(\int \frac{x^8}{1-3 x^4+x^8} \, dx\)
3.397
\(\int \frac{x^6}{1-3 x^4+x^8} \, dx\)
3.398
\(\int \frac{x^4}{1-3 x^4+x^8} \, dx\)
3.399
\(\int \frac{x^2}{1-3 x^4+x^8} \, dx\)
3.400
\(\int \frac{1}{1-3 x^4+x^8} \, dx\)
3.401
\(\int \frac{1}{x^2 (1-3 x^4+x^8)} \, dx\)
3.402
\(\int \frac{1}{x^4 (1-3 x^4+x^8)} \, dx\)
3.403
\(\int \frac{1}{x^6 (1-3 x^4+x^8)} \, dx\)
3.404
\(\int \frac{1}{x^8 (1-3 x^4+x^8)} \, dx\)
3.405
\(\int \frac{x^3}{2+3 x^4+x^8} \, dx\)
3.406
\(\int \frac{x^{11}}{2+3 x^4+x^8} \, dx\)
3.407
\(\int \frac{x^9}{2+x^5+x^{10}} \, dx\)
3.408
\(\int \frac{x^4}{2+x^5+x^{10}} \, dx\)
3.409
\(\int \frac{1}{x (1+x^5+x^{10})} \, dx\)
3.410
\(\int \frac{1}{x^6 (1+x^5+x^{10})} \, dx\)
3.411
\(\int \frac{1}{x+x^6+x^{11}} \, dx\)
3.412
\(\int \frac{x^3}{c+\frac{a}{x^2}+\frac{b}{x}} \, dx\)
3.413
\(\int \frac{x^2}{c+\frac{a}{x^2}+\frac{b}{x}} \, dx\)
3.414
\(\int \frac{x}{c+\frac{a}{x^2}+\frac{b}{x}} \, dx\)
3.415
\(\int \frac{1}{c+\frac{a}{x^2}+\frac{b}{x}} \, dx\)
3.416
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x}) x} \, dx\)
3.417
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x}) x^2} \, dx\)
3.418
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x}) x^3} \, dx\)
3.419
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x}) x^4} \, dx\)
3.420
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x}) x^5} \, dx\)
3.421
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x}) x^6} \, dx\)
3.422
\(\int \frac{x}{(c+\frac{a}{x^2}+\frac{b}{x})^2} \, dx\)
3.423
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2} \, dx\)
3.424
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x} \, dx\)
3.425
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x^2} \, dx\)
3.426
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x^3} \, dx\)
3.427
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x^4} \, dx\)
3.428
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x^5} \, dx\)
3.429
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x^6} \, dx\)
3.430
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^2 x^7} \, dx\)
3.431
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3} \, dx\)
3.432
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x} \, dx\)
3.433
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^2} \, dx\)
3.434
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^3} \, dx\)
3.435
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^4} \, dx\)
3.436
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^5} \, dx\)
3.437
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^6} \, dx\)
3.438
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^7} \, dx\)
3.439
\(\int \frac{1}{(c+\frac{a}{x^2}+\frac{b}{x})^3 x^8} \, dx\)
3.440
\(\int \frac{x^2}{15+\frac{2}{x^2}+\frac{13}{x}} \, dx\)
3.441
\(\int \frac{x}{15+\frac{2}{x^2}+\frac{13}{x}} \, dx\)
3.442
\(\int \frac{1}{15+\frac{2}{x^2}+\frac{13}{x}} \, dx\)
3.443
\(\int \frac{1}{(15+\frac{2}{x^2}+\frac{13}{x}) x} \, dx\)
3.444
\(\int \frac{1}{(15+\frac{2}{x^2}+\frac{13}{x}) x^2} \, dx\)
3.445
\(\int \frac{1}{(15+\frac{2}{x^2}+\frac{13}{x}) x^3} \, dx\)
3.446
\(\int \frac{1}{(15+\frac{2}{x^2}+\frac{13}{x}) x^4} \, dx\)
3.447
\(\int \frac{1}{(15+\frac{2}{x^2}+\frac{13}{x}) x^5} \, dx\)
3.448
\(\int \frac{1}{(15+\frac{2}{x^2}+\frac{13}{x}) x^6} \, dx\)
3.449
\(\int (a+\frac{c}{x^2}+\frac{b}{x})^{5/2} \, dx\)
3.450
\(\int (a+\frac{c}{x^2}+\frac{b}{x})^{3/2} \, dx\)
3.451
\(\int \sqrt{a+\frac{c}{x^2}+\frac{b}{x}} \, dx\)
3.452
\(\int \frac{1}{\sqrt{a+\frac{c}{x^2}+\frac{b}{x}}} \, dx\)
3.453
\(\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})^{3/2}} \, dx\)
3.454
\(\int \frac{1}{(a+\frac{c}{x^2}+\frac{b}{x})^{5/2}} \, dx\)
3.455
\(\int \sqrt{a^2+\frac{b^2}{x^2}+\frac{2 a b}{x}} \, dx\)
3.456
\(\int \frac{1}{c+\frac{a}{x^4}+\frac{b}{x^2}} \, dx\)
3.457
\(\int \frac{1}{c+\frac{a}{x^6}+\frac{b}{x^3}} \, dx\)
3.458
\(\int \frac{1}{c+\frac{a}{x^8}+\frac{b}{x^4}} \, dx\)
3.459
\(\int \frac{\sqrt{a+b \sqrt{x}+c x}}{x} \, dx\)
3.460
\(\int (\frac{b^2}{4 c}+b \sqrt{x}+c x)^2 \, dx\)
3.461
\(\int \frac{1}{\sqrt{a^2+2 a b \sqrt{x}+b^2 x}} \, dx\)
3.462
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{7/2} \, dx\)
3.463
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{5/2} \, dx\)
3.464
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{3/2} \, dx\)
3.465
\(\int \sqrt{a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3}} \, dx\)
3.466
\(\int \frac{1}{\sqrt{a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3}}} \, dx\)
3.467
\(\int \frac{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{3/2}} \, dx\)
3.468
\(\int \frac{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{5/2}} \, dx\)
3.469
\(\int \frac{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{7/2}} \, dx\)
3.470
\(\int \frac{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{9/2}} \, dx\)
3.471
\(\int \frac{1}{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^{11/2}} \, dx\)
3.472
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p (d x)^m \, dx\)
3.473
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x^2 \, dx\)
3.474
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p x \, dx\)
3.475
\(\int (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p \, dx\)
3.476
\(\int \frac{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x} \, dx\)
3.477
\(\int \frac{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2} \, dx\)
3.478
\(\int (\frac{(a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{x^2}-\frac{2 b^3 (1-2 p) (1-p) p (a^2+2 a b \sqrt [3]{x}+b^2 x^{2/3})^p}{3 a^3 x}) \, dx\)
3.479
\(\int \frac{1}{(a^2+2 a b \sqrt [4]{x}+b^2 \sqrt{x})^{3/2}} \, dx\)
3.480
\(\int \frac{1}{(a^2+2 a b \sqrt [6]{x}+b^2 \sqrt [3]{x})^{5/2}} \, dx\)
3.481
\(\int (a^2+\frac{b^2}{x}+\frac{2 a b}{\sqrt{x}})^{3/2} \, dx\)
3.482
\(\int (a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}})^{7/2} \, dx\)
3.483
\(\int (a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}})^{5/2} \, dx\)
3.484
\(\int (a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}})^{3/2} \, dx\)
3.485
\(\int \sqrt{a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}}} \, dx\)
3.486
\(\int \frac{1}{\sqrt{a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}}}} \, dx\)
3.487
\(\int \frac{1}{(a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}})^{3/2}} \, dx\)
3.488
\(\int \frac{1}{(a^2+\frac{b^2}{x^{2/3}}+\frac{2 a b}{\sqrt [3]{x}})^{5/2}} \, dx\)
3.489
\(\int (a^2+\frac{b^2}{\sqrt{x}}+\frac{2 a b}{\sqrt [4]{x}})^{5/2} \, dx\)
3.490
\(\int (a^2+\frac{b^2}{x^{2/5}}+\frac{2 a b}{\sqrt [5]{x}})^{5/2} \, dx\)
3.491
\(\int \frac{1}{(a^2+2 a b \sqrt [5]{x}+b^2 x^{2/5})^{5/2}} \, dx\)
3.492
\(\int (a^2+\frac{b^2}{\sqrt [3]{x}}+\frac{2 a b}{\sqrt [6]{x}})^{7/2} \, dx\)
3.493
\(\int \frac{x^{-1+4 n}}{b x^n+c x^{2 n}} \, dx\)
3.494
\(\int \frac{x^{-1+3 n}}{b x^n+c x^{2 n}} \, dx\)
3.495
\(\int \frac{x^{-1+2 n}}{b x^n+c x^{2 n}} \, dx\)
3.496
\(\int \frac{x^{-1+n}}{b x^n+c x^{2 n}} \, dx\)
3.497
\(\int \frac{x^{-1-n}}{b x^n+c x^{2 n}} \, dx\)
3.498
\(\int \frac{x^{-1-2 n}}{b x^n+c x^{2 n}} \, dx\)
3.499
\(\int \frac{x^{-1-3 n}}{b x^n+c x^{2 n}} \, dx\)
3.500
\(\int \frac{x^{-1+\frac{n}{4}}}{b x^n+c x^{2 n}} \, dx\)
3.501
\(\int \frac{x^{-1+\frac{n}{3}}}{b x^n+c x^{2 n}} \, dx\)
3.502
\(\int \frac{x^{-1+\frac{n}{2}}}{b x^n+c x^{2 n}} \, dx\)
3.503
\(\int \frac{x^{-1-\frac{n}{2}}}{b x^n+c x^{2 n}} \, dx\)
3.504
\(\int \frac{x^{-1-\frac{n}{3}}}{b x^n+c x^{2 n}} \, dx\)
3.505
\(\int \frac{x^{-1-\frac{n}{4}}}{b x^n+c x^{2 n}} \, dx\)
3.506
\(\int x^{-1-n (-1+p)} (b x^n+c x^{2 n})^p \, dx\)
3.507
\(\int x^{-1-n (1+2 p)} (b x^n+c x^{2 n})^p \, dx\)
3.508
\(\int x^{-1+2 n} (a^2+2 a b x^n+b^2 x^{2 n})^{5/2} \, dx\)
3.509
\(\int x^{-1+2 n} (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\)
3.510
\(\int x^{-1+2 n} \sqrt{a^2+2 a b x^n+b^2 x^{2 n}} \, dx\)
3.511
\(\int \frac{x^{-1+2 n}}{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.512
\(\int \frac{x^{-1+2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.513
\(\int \frac{x^{-1+2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{5/2}} \, dx\)
3.514
\(\int \frac{x^{-1+2 n}}{(a^2+2 a b x^n+b^2 x^{2 n})^{7/2}} \, dx\)
3.515
\(\int (d x)^m \sqrt{a^2+2 a b x^n+b^2 x^{2 n}} \, dx\)
3.516
\(\int x^2 \sqrt{a^2+2 a b x^n+b^2 x^{2 n}} \, dx\)
3.517
\(\int x \sqrt{a^2+2 a b x^n+b^2 x^{2 n}} \, dx\)
3.518
\(\int \sqrt{a^2+2 a b x^n+b^2 x^{2 n}} \, dx\)
3.519
\(\int \frac{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}}{x} \, dx\)
3.520
\(\int \frac{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}}{x^2} \, dx\)
3.521
\(\int \frac{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}}{x^3} \, dx\)
3.522
\(\int (d x)^m (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\)
3.523
\(\int x^2 (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\)
3.524
\(\int x (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\)
3.525
\(\int (a^2+2 a b x^n+b^2 x^{2 n})^{3/2} \, dx\)
3.526
\(\int \frac{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}}{x} \, dx\)
3.527
\(\int \frac{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}}{x^2} \, dx\)
3.528
\(\int \frac{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}}{x^3} \, dx\)
3.529
\(\int \frac{(d x)^m}{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.530
\(\int \frac{x^2}{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.531
\(\int \frac{x}{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.532
\(\int \frac{1}{\sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.533
\(\int \frac{1}{x \sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.534
\(\int \frac{1}{x^2 \sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.535
\(\int \frac{1}{x^3 \sqrt{a^2+2 a b x^n+b^2 x^{2 n}}} \, dx\)
3.536
\(\int \frac{(d x)^m}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.537
\(\int \frac{x^2}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.538
\(\int \frac{x}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.539
\(\int \frac{1}{(a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.540
\(\int \frac{1}{x (a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.541
\(\int \frac{1}{x^2 (a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.542
\(\int \frac{1}{x^3 (a^2+2 a b x^n+b^2 x^{2 n})^{3/2}} \, dx\)
3.543
\(\int (a^2+b^2 x^{-\frac{2}{1+2 p}}+2 a b x^{-\frac{1}{1+2 p}})^p \, dx\)
3.544
\(\int (a^2+2 a b x^n+b^2 x^{2 n})^{-\frac{1+n}{2 n}} \, dx\)
3.545
\(\int (a^2+b^2 x^{-\frac{1}{1+p}}+2 a b x^{-\frac{1}{2 (1+p)}})^p \, dx\)
3.546
\(\int (a^2+2 a b x^n+b^2 x^{2 n})^{-\frac{1+2 n}{2 n}} \, dx\)
3.547
\(\int (d x)^{-1-2 n (1+p)} (a^2+2 a b x^n+b^2 x^{2 n})^p \, dx\)
3.548
\(\int x^{-1+2 n} (a^2+2 a b x^n+b^2 x^{2 n})^p \, dx\)
3.549
\(\int \frac{x^{-1+4 n}}{a+b x^n+c x^{2 n}} \, dx\)
3.550
\(\int \frac{x^{-1+3 n}}{a+b x^n+c x^{2 n}} \, dx\)
3.551
\(\int \frac{x^{-1+2 n}}{a+b x^n+c x^{2 n}} \, dx\)
3.552
\(\int \frac{x^{-1+n}}{a+b x^n+c x^{2 n}} \, dx\)
3.553
\(\int \frac{x^{-1-n}}{a+b x^n+c x^{2 n}} \, dx\)
3.554
\(\int \frac{x^{-1-2 n}}{a+b x^n+c x^{2 n}} \, dx\)
3.555
\(\int \frac{x^{-1-3 n}}{a+b x^n+c x^{2 n}} \, dx\)
3.556
\(\int \frac{x^{-1+\frac{n}{4}}}{a+b x^n+c x^{2 n}} \, dx\)
3.557
\(\int \frac{x^{-1+\frac{n}{3}}}{a+b x^n+c x^{2 n}} \, dx\)
3.558
\(\int \frac{x^{-1+\frac{n}{2}}}{a+b x^n+c x^{2 n}} \, dx\)
3.559
\(\int \frac{x^{-1-\frac{n}{2}}}{a+b x^n+c x^{2 n}} \, dx\)
3.560
\(\int \frac{x^{-1-\frac{n}{3}}}{a+b x^n+c x^{2 n}} \, dx\)
3.561
\(\int \frac{x^{-1-\frac{n}{4}}}{a+b x^n+c x^{2 n}} \, dx\)
3.562
\(\int \frac{x^2}{a+b x^n+c x^{2 n}} \, dx\)
3.563
\(\int \frac{x}{a+b x^n+c x^{2 n}} \, dx\)
3.564
\(\int \frac{1}{a+b x^n+c x^{2 n}} \, dx\)
3.565
\(\int \frac{1}{x (a+b x^n+c x^{2 n})} \, dx\)
3.566
\(\int \frac{1}{x^2 (a+b x^n+c x^{2 n})} \, dx\)
3.567
\(\int \frac{1}{x^3 (a+b x^n+c x^{2 n})} \, dx\)
3.568
\(\int x^3 \sqrt{a+b x^n+c x^{2 n}} \, dx\)
3.569
\(\int x^2 \sqrt{a+b x^n+c x^{2 n}} \, dx\)
3.570
\(\int x \sqrt{a+b x^n+c x^{2 n}} \, dx\)
3.571
\(\int \sqrt{a+b x^n+c x^{2 n}} \, dx\)
3.572
\(\int \frac{\sqrt{a+b x^n+c x^{2 n}}}{x} \, dx\)
3.573
\(\int \frac{\sqrt{a+b x^n+c x^{2 n}}}{x^2} \, dx\)
3.574
\(\int \frac{\sqrt{a+b x^n+c x^{2 n}}}{x^3} \, dx\)
3.575
\(\int x^3 (a+b x^n+c x^{2 n})^{3/2} \, dx\)
3.576
\(\int x^2 (a+b x^n+c x^{2 n})^{3/2} \, dx\)
3.577
\(\int x (a+b x^n+c x^{2 n})^{3/2} \, dx\)
3.578
\(\int (a+b x^n+c x^{2 n})^{3/2} \, dx\)
3.579
\(\int \frac{(a+b x^n+c x^{2 n})^{3/2}}{x} \, dx\)
3.580
\(\int \frac{(a+b x^n+c x^{2 n})^{3/2}}{x^2} \, dx\)
3.581
\(\int \frac{(a+b x^n+c x^{2 n})^{3/2}}{x^3} \, dx\)
3.582
\(\int \frac{x^3}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.583
\(\int \frac{x^2}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.584
\(\int \frac{x}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.585
\(\int \frac{1}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.586
\(\int \frac{1}{x \sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.587
\(\int \frac{1}{x^2 \sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.588
\(\int \frac{1}{x^3 \sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.589
\(\int \frac{x^3}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.590
\(\int \frac{x^2}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.591
\(\int \frac{x}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.592
\(\int \frac{1}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.593
\(\int \frac{1}{x (a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.594
\(\int \frac{1}{x^2 (a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.595
\(\int \frac{1}{x^3 (a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.596
\(\int (d x)^m (a+b x^n+c x^{2 n})^3 \, dx\)
3.597
\(\int (d x)^m (a+b x^n+c x^{2 n})^2 \, dx\)
3.598
\(\int (d x)^m (a+b x^n+c x^{2 n}) \, dx\)
3.599
\(\int \frac{(d x)^m}{a+b x^n+c x^{2 n}} \, dx\)
3.600
\(\int \frac{(d x)^m}{(a+b x^n+c x^{2 n})^2} \, dx\)
3.601
\(\int \frac{(d x)^m}{(a+b x^n+c x^{2 n})^3} \, dx\)
3.602
\(\int (d x)^m (a+b x^n+c x^{2 n})^{3/2} \, dx\)
3.603
\(\int (d x)^m \sqrt{a+b x^n+c x^{2 n}} \, dx\)
3.604
\(\int \frac{(d x)^m}{\sqrt{a+b x^n+c x^{2 n}}} \, dx\)
3.605
\(\int \frac{(d x)^m}{(a+b x^n+c x^{2 n})^{3/2}} \, dx\)
3.606
\(\int (d x)^m (a+b x^n+c x^{2 n})^p \, dx\)
3.607
\(\int (d+e x)^3 (a+b (d+e x)^2+c (d+e x)^4) \, dx\)
3.608
\(\int (d+e x)^3 (a+b (d+e x)^2+c (d+e x)^4)^2 \, dx\)
3.609
\(\int (d+e x)^3 (a+b (d+e x)^2+c (d+e x)^4)^3 \, dx\)
3.610
\(\int (d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4) \, dx\)
3.611
\(\int (d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^2 \, dx\)
3.612
\(\int (d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^3 \, dx\)
3.613
\(\int \frac{(d+e x)^4}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.614
\(\int \frac{(d+e x)^3}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.615
\(\int \frac{(d+e x)^2}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.616
\(\int \frac{d+e x}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.617
\(\int \frac{1}{(d+e x) (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.618
\(\int \frac{1}{(d+e x)^2 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.619
\(\int \frac{1}{(d+e x)^3 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.620
\(\int \frac{1}{(d+e x)^4 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.621
\(\int \frac{(d+e x)^4}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.622
\(\int \frac{(d+e x)^3}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.623
\(\int \frac{(d+e x)^2}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.624
\(\int \frac{d+e x}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.625
\(\int \frac{1}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.626
\(\int \frac{1}{(d+e x) (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.627
\(\int \frac{1}{(d+e x)^2 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.628
\(\int \frac{1}{(d+e x)^3 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.629
\(\int \frac{1}{(d+e x)^4 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.630
\(\int \frac{(d+e x)^4}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.631
\(\int \frac{(d+e x)^3}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.632
\(\int \frac{(d+e x)^2}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.633
\(\int \frac{d+e x}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.634
\(\int \frac{1}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.635
\(\int \frac{1}{(d+e x) (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.636
\(\int \frac{1}{(d+e x)^2 (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.637
\(\int \frac{1}{(d+e x)^3 (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.638
\(\int \frac{(d f+e f x)^4}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.639
\(\int \frac{(d f+e f x)^3}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.640
\(\int \frac{(d f+e f x)^2}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.641
\(\int \frac{d f+e f x}{a+b (d+e x)^2+c (d+e x)^4} \, dx\)
3.642
\(\int \frac{1}{(d f+e f x) (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.643
\(\int \frac{1}{(d f+e f x)^2 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.644
\(\int \frac{1}{(d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.645
\(\int \frac{1}{(d f+e f x)^4 (a+b (d+e x)^2+c (d+e x)^4)} \, dx\)
3.646
\(\int \frac{(d f+e f x)^4}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.647
\(\int \frac{(d f+e f x)^3}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.648
\(\int \frac{(d f+e f x)^2}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.649
\(\int \frac{d f+e f x}{(a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.650
\(\int \frac{1}{(d f+e f x) (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.651
\(\int \frac{1}{(d f+e f x)^2 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.652
\(\int \frac{1}{(d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.653
\(\int \frac{1}{(d f+e f x)^4 (a+b (d+e x)^2+c (d+e x)^4)^2} \, dx\)
3.654
\(\int \frac{(d f+e f x)^4}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.655
\(\int \frac{(d f+e f x)^3}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.656
\(\int \frac{(d f+e f x)^2}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.657
\(\int \frac{d f+e f x}{(a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.658
\(\int \frac{1}{(d f+e f x) (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.659
\(\int \frac{1}{(d f+e f x)^2 (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.660
\(\int \frac{1}{(d f+e f x)^3 (a+b (d+e x)^2+c (d+e x)^4)^3} \, dx\)
3.661
\(\int \frac{x}{\sqrt{a+b (d+e x)^3+c (d+e x)^6}} \, dx\)
3.662
\(\int \frac{x^2}{\sqrt{a+b (d+e x)^3+c (d+e x)^6}} \, dx\)
3.663
\(\int (2+3 x)^6 (1+(2+3 x)^7+(2+3 x)^{14}) \, dx\)
3.664
\(\int (2+3 x)^6 (1+(2+3 x)^7+(2+3 x)^{14})^2 \, dx\)
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