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