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3
Listing of integrals
3.1
\(\int \left (a+b x^2\right ) \left (c+d x^2\right )^4 \, dx\)
3.2
\(\int \left (a+b x^2\right ) \left (c+d x^2\right )^3 \, dx\)
3.3
\(\int \left (a+b x^2\right ) \left (c+d x^2\right )^2 \, dx\)
3.4
\(\int \left (a+b x^2\right ) \left (c+d x^2\right ) \, dx\)
3.5
\(\int \frac{a+b x^2}{c+d x^2} \, dx\)
3.6
\(\int \frac{a+b x^2}{\left (c+d x^2\right )^2} \, dx\)
3.7
\(\int \frac{a+b x^2}{\left (c+d x^2\right )^3} \, dx\)
3.8
\(\int \left (a+b x^2\right )^2 \left (c+d x^2\right )^3 \, dx\)
3.9
\(\int \left (a+b x^2\right )^2 \left (c+d x^2\right )^2 \, dx\)
3.10
\(\int \left (a+b x^2\right )^2 \left (c+d x^2\right ) \, dx\)
3.11
\(\int \frac{\left (a+b x^2\right )^2}{c+d x^2} \, dx\)
3.12
\(\int \frac{\left (a+b x^2\right )^2}{\left (c+d x^2\right )^2} \, dx\)
3.13
\(\int \frac{\left (a+b x^2\right )^2}{\left (c+d x^2\right )^3} \, dx\)
3.14
\(\int \left (a+b x^2\right )^3 \left (c+d x^2\right )^3 \, dx\)
3.15
\(\int \left (a+b x^2\right )^3 \left (c+d x^2\right )^2 \, dx\)
3.16
\(\int \left (a+b x^2\right )^3 \left (c+d x^2\right ) \, dx\)
3.17
\(\int \frac{\left (a+b x^2\right )^3}{c+d x^2} \, dx\)
3.18
\(\int \frac{\left (a+b x^2\right )^3}{\left (c+d x^2\right )^2} \, dx\)
3.19
\(\int \frac{\left (a+b x^2\right )^3}{\left (c+d x^2\right )^3} \, dx\)
3.20
\(\int \frac{\left (c+d x^2\right )^4}{a+b x^2} \, dx\)
3.21
\(\int \frac{\left (c+d x^2\right )^3}{a+b x^2} \, dx\)
3.22
\(\int \frac{\left (c+d x^2\right )^2}{a+b x^2} \, dx\)
3.23
\(\int \frac{c+d x^2}{a+b x^2} \, dx\)
3.24
\(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )} \, dx\)
3.25
\(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^2} \, dx\)
3.26
\(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^3} \, dx\)
3.27
\(\int \frac{\left (c+d x^2\right )^5}{\left (a+b x^2\right )^2} \, dx\)
3.28
\(\int \frac{\left (c+d x^2\right )^4}{\left (a+b x^2\right )^2} \, dx\)
3.29
\(\int \frac{\left (c+d x^2\right )^3}{\left (a+b x^2\right )^2} \, dx\)
3.30
\(\int \frac{\left (c+d x^2\right )^2}{\left (a+b x^2\right )^2} \, dx\)
3.31
\(\int \frac{c+d x^2}{\left (a+b x^2\right )^2} \, dx\)
3.32
\(\int \frac{1}{\left (a+b x^2\right )^2 \left (c+d x^2\right )} \, dx\)
3.33
\(\int \frac{1}{\left (a+b x^2\right )^2 \left (c+d x^2\right )^2} \, dx\)
3.34
\(\int \frac{1}{\left (a+b x^2\right )^2 \left (c+d x^2\right )^3} \, dx\)
3.35
\(\int \frac{\left (c+d x^2\right )^5}{\left (a+b x^2\right )^3} \, dx\)
3.36
\(\int \frac{\left (c+d x^2\right )^4}{\left (a+b x^2\right )^3} \, dx\)
3.37
\(\int \frac{\left (c+d x^2\right )^3}{\left (a+b x^2\right )^3} \, dx\)
3.38
\(\int \frac{\left (c+d x^2\right )^2}{\left (a+b x^2\right )^3} \, dx\)
3.39
\(\int \frac{c+d x^2}{\left (a+b x^2\right )^3} \, dx\)
3.40
\(\int \frac{1}{\left (a+b x^2\right )^3 \left (c+d x^2\right )} \, dx\)
3.41
\(\int \frac{1}{\left (a+b x^2\right )^3 \left (c+d x^2\right )^2} \, dx\)
3.42
\(\int \frac{1}{\left (a+b x^2\right )^3 \left (c+d x^2\right )^3} \, dx\)
3.43
\(\int \frac{\left (-1+x^2\right )^3}{\left (1+x^2\right )^4} \, dx\)
3.44
\(\int \frac{\left (-1+x^2\right )^4}{\left (1+x^2\right )^5} \, dx\)
3.45
\(\int \sqrt{a+b x^2} \left (c+d x^2\right )^3 \, dx\)
3.46
\(\int \sqrt{a+b x^2} \left (c+d x^2\right )^2 \, dx\)
3.47
\(\int \sqrt{a+b x^2} \left (c+d x^2\right ) \, dx\)
3.48
\(\int \sqrt{a+b x^2} \, dx\)
3.49
\(\int \frac{\sqrt{a+b x^2}}{c+d x^2} \, dx\)
3.50
\(\int \frac{\sqrt{a+b x^2}}{\left (c+d x^2\right )^2} \, dx\)
3.51
\(\int \frac{\sqrt{a+b x^2}}{\left (c+d x^2\right )^3} \, dx\)
3.52
\(\int \frac{\sqrt{a+b x^2}}{\left (c+d x^2\right )^4} \, dx\)
3.53
\(\int \left (a+b x^2\right )^{3/2} \left (c+d x^2\right )^3 \, dx\)
3.54
\(\int \left (a+b x^2\right )^{3/2} \left (c+d x^2\right )^2 \, dx\)
3.55
\(\int \left (a+b x^2\right )^{3/2} \left (c+d x^2\right ) \, dx\)
3.56
\(\int \left (a+b x^2\right )^{3/2} \, dx\)
3.57
\(\int \frac{\left (a+b x^2\right )^{3/2}}{c+d x^2} \, dx\)
3.58
\(\int \frac{\left (a+b x^2\right )^{3/2}}{\left (c+d x^2\right )^2} \, dx\)
3.59
\(\int \frac{\left (a+b x^2\right )^{3/2}}{\left (c+d x^2\right )^3} \, dx\)
3.60
\(\int \frac{\left (a+b x^2\right )^{3/2}}{\left (c+d x^2\right )^4} \, dx\)
3.61
\(\int \frac{\left (a+b x^2\right )^{3/2}}{\left (c+d x^2\right )^5} \, dx\)
3.62
\(\int \left (a+b x^2\right )^{5/2} \left (c+d x^2\right )^3 \, dx\)
3.63
\(\int \left (a+b x^2\right )^{5/2} \left (c+d x^2\right )^2 \, dx\)
3.64
\(\int \left (a+b x^2\right )^{5/2} \left (c+d x^2\right ) \, dx\)
3.65
\(\int \left (a+b x^2\right )^{5/2} \, dx\)
3.66
\(\int \frac{\left (a+b x^2\right )^{5/2}}{c+d x^2} \, dx\)
3.67
\(\int \frac{\left (a+b x^2\right )^{5/2}}{\left (c+d x^2\right )^2} \, dx\)
3.68
\(\int \frac{\left (a+b x^2\right )^{5/2}}{\left (c+d x^2\right )^3} \, dx\)
3.69
\(\int \frac{\left (a+b x^2\right )^{5/2}}{\left (c+d x^2\right )^4} \, dx\)
3.70
\(\int \frac{\left (a+b x^2\right )^{5/2}}{\left (c+d x^2\right )^5} \, dx\)
3.71
\(\int \frac{\sqrt{1-x^2}}{1+x^2} \, dx\)
3.72
\(\int \frac{\sqrt{1+x^2}}{-1+x^2} \, dx\)
3.73
\(\int \frac{\sqrt{1-x^2}}{-1+2 x^2} \, dx\)
3.74
\(\int \frac{\left (c+d x^2\right )^3}{\sqrt{a+b x^2}} \, dx\)
3.75
\(\int \frac{\left (c+d x^2\right )^2}{\sqrt{a+b x^2}} \, dx\)
3.76
\(\int \frac{c+d x^2}{\sqrt{a+b x^2}} \, dx\)
3.77
\(\int \frac{1}{\sqrt{a+b x^2}} \, dx\)
3.78
\(\int \frac{1}{\sqrt{a+b x^2} \left (c+d x^2\right )} \, dx\)
3.79
\(\int \frac{1}{\sqrt{a+b x^2} \left (c+d x^2\right )^2} \, dx\)
3.80
\(\int \frac{1}{\sqrt{a+b x^2} \left (c+d x^2\right )^3} \, dx\)
3.81
\(\int \frac{\left (c+d x^2\right )^4}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.82
\(\int \frac{\left (c+d x^2\right )^3}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.83
\(\int \frac{\left (c+d x^2\right )^2}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.84
\(\int \frac{c+d x^2}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.85
\(\int \frac{1}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.86
\(\int \frac{1}{\left (a+b x^2\right )^{3/2} \left (c+d x^2\right )} \, dx\)
3.87
\(\int \frac{1}{\left (a+b x^2\right )^{3/2} \left (c+d x^2\right )^2} \, dx\)
3.88
\(\int \frac{1}{\left (a+b x^2\right )^{3/2} \left (c+d x^2\right )^3} \, dx\)
3.89
\(\int \frac{\left (c+d x^2\right )^4}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.90
\(\int \frac{\left (c+d x^2\right )^3}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.91
\(\int \frac{\left (c+d x^2\right )^2}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.92
\(\int \frac{c+d x^2}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.93
\(\int \frac{1}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.94
\(\int \frac{1}{\left (a+b x^2\right )^{5/2} \left (c+d x^2\right )} \, dx\)
3.95
\(\int \frac{1}{\left (a+b x^2\right )^{5/2} \left (c+d x^2\right )^2} \, dx\)
3.96
\(\int \frac{1}{\left (a+b x^2\right )^{5/2} \left (c+d x^2\right )^3} \, dx\)
3.97
\(\int \frac{\left (a+b x^2\right )^3}{\left (c+d x^2\right )^{11/2}} \, dx\)
3.98
\(\int \frac{\left (a+b x^2\right )^2}{\left (c+d x^2\right )^{9/2}} \, dx\)
3.99
\(\int \frac{a+b x^2}{\left (c+d x^2\right )^{7/2}} \, dx\)
3.100
\(\int \frac{1}{\left (c+d x^2\right )^{5/2}} \, dx\)
3.101
\(\int \frac{1}{\left (a+b x^2\right ) \left (c+d x^2\right )^{3/2}} \, dx\)
3.102
\(\int \frac{1}{\left (a+b x^2\right )^2 \sqrt{c+d x^2}} \, dx\)
3.103
\(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right )^3} \, dx\)
3.104
\(\int \frac{\left (c+d x^2\right )^{3/2}}{\left (a+b x^2\right )^4} \, dx\)
3.105
\(\int \frac{1}{\left (\frac{b c}{d}+b x^2\right ) \sqrt{c+d x^2}} \, dx\)
3.106
\(\int \frac{1}{\sqrt{1-x^2} \left (1+x^2\right )} \, dx\)
3.107
\(\int \frac{1}{\left (a+b x^2\right ) \sqrt{c+d x^2}} \, dx\)
3.108
\(\int \frac{-1+x^2}{\left (1+x^2\right )^{3/2}} \, dx\)
3.109
\(\int \left (a-b x^2\right )^{2/3} \left (3 a+b x^2\right )^3 \, dx\)
3.110
\(\int \left (a-b x^2\right )^{2/3} \left (3 a+b x^2\right )^2 \, dx\)
3.111
\(\int \left (a-b x^2\right )^{2/3} \left (3 a+b x^2\right ) \, dx\)
3.112
\(\int \frac{\left (a-b x^2\right )^{2/3}}{3 a+b x^2} \, dx\)
3.113
\(\int \frac{\left (a-b x^2\right )^{2/3}}{\left (3 a+b x^2\right )^2} \, dx\)
3.114
\(\int \frac{\left (a-b x^2\right )^{2/3}}{\left (3 a+b x^2\right )^3} \, dx\)
3.115
\(\int \frac{\left (a-b x^2\right )^{2/3}}{\left (3 a+b x^2\right )^4} \, dx\)
3.116
\(\int \left (a-b x^2\right )^{5/3} \left (3 a+b x^2\right )^3 \, dx\)
3.117
\(\int \left (a-b x^2\right )^{5/3} \left (3 a+b x^2\right )^2 \, dx\)
3.118
\(\int \left (a-b x^2\right )^{5/3} \left (3 a+b x^2\right ) \, dx\)
3.119
\(\int \frac{\left (a-b x^2\right )^{5/3}}{3 a+b x^2} \, dx\)
3.120
\(\int \frac{\left (a-b x^2\right )^{5/3}}{\left (3 a+b x^2\right )^2} \, dx\)
3.121
\(\int \frac{\left (a-b x^2\right )^{5/3}}{\left (3 a+b x^2\right )^3} \, dx\)
3.122
\(\int \frac{\left (3 a+b x^2\right )^4}{\sqrt [3]{a-b x^2}} \, dx\)
3.123
\(\int \frac{\left (3 a+b x^2\right )^3}{\sqrt [3]{a-b x^2}} \, dx\)
3.124
\(\int \frac{\left (3 a+b x^2\right )^2}{\sqrt [3]{a-b x^2}} \, dx\)
3.125
\(\int \frac{3 a+b x^2}{\sqrt [3]{a-b x^2}} \, dx\)
3.126
\(\int \frac{1}{\sqrt [3]{a-b x^2} \left (3 a+b x^2\right )} \, dx\)
3.127
\(\int \frac{1}{\sqrt [3]{a-b x^2} \left (3 a+b x^2\right )^2} \, dx\)
3.128
\(\int \frac{1}{\sqrt [3]{a-b x^2} \left (3 a+b x^2\right )^3} \, dx\)
3.129
\(\int \frac{\left (3 a+b x^2\right )^3}{\left (a-b x^2\right )^{4/3}} \, dx\)
3.130
\(\int \frac{\left (3 a+b x^2\right )^2}{\left (a-b x^2\right )^{4/3}} \, dx\)
3.131
\(\int \frac{3 a+b x^2}{\left (a-b x^2\right )^{4/3}} \, dx\)
3.132
\(\int \frac{1}{\left (a-b x^2\right )^{4/3} \left (3 a+b x^2\right )} \, dx\)
3.133
\(\int \frac{1}{\left (a-b x^2\right )^{4/3} \left (3 a+b x^2\right )^2} \, dx\)
3.134
\(\int \frac{1}{\left (a-b x^2\right )^{4/3} \left (3 a+b x^2\right )^3} \, dx\)
3.135
\(\int \frac{\left (3 a+b x^2\right )^4}{\left (a-b x^2\right )^{7/3}} \, dx\)
3.136
\(\int \frac{\left (3 a+b x^2\right )^3}{\left (a-b x^2\right )^{7/3}} \, dx\)
3.137
\(\int \frac{\left (3 a+b x^2\right )^2}{\left (a-b x^2\right )^{7/3}} \, dx\)
3.138
\(\int \frac{3 a+b x^2}{\left (a-b x^2\right )^{7/3}} \, dx\)
3.139
\(\int \frac{1}{\left (a-b x^2\right )^{7/3} \left (3 a+b x^2\right )} \, dx\)
3.140
\(\int \frac{1}{\left (a-b x^2\right )^{7/3} \left (3 a+b x^2\right )^2} \, dx\)
3.141
\(\int \frac{1}{\left (-3 a-b x^2\right ) \sqrt [3]{-a+b x^2}} \, dx\)
3.142
\(\int \frac{1}{\left (3 a-b x^2\right ) \sqrt [3]{a+b x^2}} \, dx\)
3.143
\(\int \frac{1}{\left (c-d x^2\right ) \sqrt [3]{c+3 d x^2}} \, dx\)
3.144
\(\int \frac{1}{\sqrt [3]{a-b x^2} \left (3 a+b x^2\right )} \, dx\)
3.145
\(\int \frac{1}{\sqrt [3]{c-3 d x^2} \left (c+d x^2\right )} \, dx\)
3.146
\(\int \frac{1}{\sqrt [3]{1-x^2} \left (3+x^2\right )} \, dx\)
3.147
\(\int \frac{1}{\left (3-x^2\right ) \sqrt [3]{1+x^2}} \, dx\)
3.148
\(\int \frac{3-x}{\sqrt [3]{1-x^2} \left (3+x^2\right )} \, dx\)
3.149
\(\int \frac{3+x}{\sqrt [3]{1-x^2} \left (3+x^2\right )} \, dx\)
3.150
\(\int \frac{1}{\sqrt [3]{a+b x^2} \left (\frac{9 a d}{b}+d x^2\right )} \, dx\)
3.151
\(\int \frac{1}{\sqrt [3]{a-b x^2} \left (-\frac{9 a d}{b}+d x^2\right )} \, dx\)
3.152
\(\int \frac{1}{\sqrt [3]{-a+b x^2} \left (-\frac{9 a d}{b}+d x^2\right )} \, dx\)
3.153
\(\int \frac{1}{\sqrt [3]{-a-b x^2} \left (\frac{9 a d}{b}+d x^2\right )} \, dx\)
3.154
\(\int \frac{1}{\sqrt [3]{2+b x^2} \left (\frac{18 d}{b}+d x^2\right )} \, dx\)
3.155
\(\int \frac{1}{\sqrt [3]{-2+b x^2} \left (-\frac{18 d}{b}+d x^2\right )} \, dx\)
3.156
\(\int \frac{1}{\sqrt [3]{2+3 x^2} \left (6 d+d x^2\right )} \, dx\)
3.157
\(\int \frac{1}{\sqrt [3]{2-3 x^2} \left (-6 d+d x^2\right )} \, dx\)
3.158
\(\int \frac{1}{\sqrt [3]{-2+3 x^2} \left (-6 d+d x^2\right )} \, dx\)
3.159
\(\int \frac{1}{\sqrt [3]{-2-3 x^2} \left (6 d+d x^2\right )} \, dx\)
3.160
\(\int \frac{1}{\sqrt [3]{1+x^2} \left (9+x^2\right )} \, dx\)
3.161
\(\int \frac{1}{\sqrt [3]{1+b x^2} \left (9+b x^2\right )} \, dx\)
3.162
\(\int \frac{1}{\sqrt [3]{1-x^2} \left (9-x^2\right )} \, dx\)
3.163
\(\int \left (a+b x^2\right )^{3/2} \sqrt{c+d x^2} \, dx\)
3.164
\(\int \sqrt{a+b x^2} \sqrt{c+d x^2} \, dx\)
3.165
\(\int \frac{\sqrt{c+d x^2}}{\sqrt{a+b x^2}} \, dx\)
3.166
\(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.167
\(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.168
\(\int \frac{\sqrt{c+d x^2}}{\left (a+b x^2\right )^{7/2}} \, dx\)
3.169
\(\int \left (a+b x^2\right )^{3/2} \left (c+d x^2\right )^{3/2} \, dx\)
3.170
\(\int \sqrt{a+b x^2} \left (c+d x^2\right )^{3/2} \, dx\)
3.171
\(\int \frac{\left (c+d x^2\right )^{3/2}}{\sqrt{a+b x^2}} \, dx\)
3.172
\(\int \frac{\left (c+d x^2\right )^{3/2}}{\left (a+b x^2\right )^{3/2}} \, dx\)
3.173
\(\int \frac{\left (c+d x^2\right )^{3/2}}{\left (a+b x^2\right )^{5/2}} \, dx\)
3.174
\(\int \frac{\left (c+d x^2\right )^{3/2}}{\left (a+b x^2\right )^{7/2}} \, dx\)
3.175
\(\int \sqrt{2+b x^2} \sqrt{3+d x^2} \, dx\)
3.176
\(\int \sqrt{3-6 x^2} \sqrt{2+4 x^2} \, dx\)
3.177
\(\int \sqrt{2+4 x^2} \sqrt{3+6 x^2} \, dx\)
3.178
\(\int \frac{\sqrt{2+b x^2}}{\sqrt{3+d x^2}} \, dx\)
3.179
\(\int \frac{\sqrt{4-x^2}}{\sqrt{c+d x^2}} \, dx\)
3.180
\(\int \frac{\sqrt{4+x^2}}{\sqrt{c+d x^2}} \, dx\)
3.181
\(\int \frac{\sqrt{1-x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.182
\(\int \frac{\sqrt{4-x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.183
\(\int \frac{\sqrt{1-4 x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.184
\(\int \frac{\sqrt{1+x^2}}{\sqrt{1-x^2}} \, dx\)
3.185
\(\int \frac{\sqrt{1+x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.186
\(\int \frac{\sqrt{4+x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.187
\(\int \frac{\sqrt{1+4 x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.188
\(\int \frac{\sqrt{1-x^2}}{\sqrt{1+x^2}} \, dx\)
3.189
\(\int \frac{\sqrt{1-x^2}}{\sqrt{2+3 x^2}} \, dx\)
3.190
\(\int \frac{\sqrt{4-x^2}}{\sqrt{2+3 x^2}} \, dx\)
3.191
\(\int \frac{\sqrt{1-4 x^2}}{\sqrt{2+3 x^2}} \, dx\)
3.192
\(\int \frac{\sqrt{1+x^2}}{\sqrt{2+3 x^2}} \, dx\)
3.193
\(\int \frac{\sqrt{4+x^2}}{\sqrt{2+3 x^2}} \, dx\)
3.194
\(\int \frac{\sqrt{1+4 x^2}}{\sqrt{2+3 x^2}} \, dx\)
3.195
\(\int \frac{\sqrt{1-x^2}}{\sqrt{-1+2 x^2}} \, dx\)
3.196
\(\int \frac{\left (a+b x^2\right )^{7/2}}{\sqrt{c+d x^2}} \, dx\)
3.197
\(\int \frac{\left (a+b x^2\right )^{5/2}}{\sqrt{c+d x^2}} \, dx\)
3.198
\(\int \frac{\left (a+b x^2\right )^{3/2}}{\sqrt{c+d x^2}} \, dx\)
3.199
\(\int \frac{\sqrt{a+b x^2}}{\sqrt{c+d x^2}} \, dx\)
3.200
\(\int \frac{1}{\sqrt{a+b x^2} \sqrt{c+d x^2}} \, dx\)
3.201
\(\int \frac{1}{\left (a+b x^2\right )^{3/2} \sqrt{c+d x^2}} \, dx\)
3.202
\(\int \frac{1}{\left (a+b x^2\right )^{5/2} \sqrt{c+d x^2}} \, dx\)
3.203
\(\int \frac{1}{\left (a+b x^2\right )^{7/2} \sqrt{c+d x^2}} \, dx\)
3.204
\(\int \frac{\left (a+b x^2\right )^{7/2}}{\left (c+d x^2\right )^{3/2}} \, dx\)
3.205
\(\int \frac{\left (a+b x^2\right )^{5/2}}{\left (c+d x^2\right )^{3/2}} \, dx\)
3.206
\(\int \frac{\left (a+b x^2\right )^{3/2}}{\left (c+d x^2\right )^{3/2}} \, dx\)
3.207
\(\int \frac{\sqrt{a+b x^2}}{\left (c+d x^2\right )^{3/2}} \, dx\)
3.208
\(\int \frac{1}{\sqrt{a+b x^2} \left (c+d x^2\right )^{3/2}} \, dx\)
3.209
\(\int \frac{1}{\left (a+b x^2\right )^{3/2} \left (c+d x^2\right )^{3/2}} \, dx\)
3.210
\(\int \frac{1}{\left (a+b x^2\right )^{5/2} \left (c+d x^2\right )^{3/2}} \, dx\)
3.211
\(\int \frac{1}{\sqrt{a+b x^2} \sqrt{c+d x^2}} \, dx\)
3.212
\(\int \frac{1}{\sqrt{a-b x^2} \sqrt{c+d x^2}} \, dx\)
3.213
\(\int \frac{1}{\sqrt{a+b x^2} \sqrt{c-d x^2}} \, dx\)
3.214
\(\int \frac{1}{\sqrt{a-b x^2} \sqrt{c-d x^2}} \, dx\)
3.215
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{2+5 x^2}} \, dx\)
3.216
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{2+4 x^2}} \, dx\)
3.217
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{2+3 x^2}} \, dx\)
3.218
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{2+2 x^2}} \, dx\)
3.219
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{2+x^2}} \, dx\)
3.220
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{2-x^2}} \, dx\)
3.221
\(\int \frac{1}{\sqrt{2-2 x^2} \sqrt{1-x^2}} \, dx\)
3.222
\(\int \frac{1}{\sqrt{2-3 x^2} \sqrt{1-x^2}} \, dx\)
3.223
\(\int \frac{1}{\sqrt{2-4 x^2} \sqrt{1-x^2}} \, dx\)
3.224
\(\int \frac{1}{\sqrt{2-5 x^2} \sqrt{1-x^2}} \, dx\)
3.225
\(\int \frac{1}{\sqrt{1+x^2} \sqrt{2+5 x^2}} \, dx\)
3.226
\(\int \frac{1}{\sqrt{1+x^2} \sqrt{2+4 x^2}} \, dx\)
3.227
\(\int \frac{1}{\sqrt{1+x^2} \sqrt{2+3 x^2}} \, dx\)
3.228
\(\int \frac{1}{\sqrt{1+x^2} \sqrt{2+2 x^2}} \, dx\)
3.229
\(\int \frac{1}{\sqrt{1+x^2} \sqrt{2+x^2}} \, dx\)
3.230
\(\int \frac{1}{\sqrt{2-x^2} \sqrt{1+x^2}} \, dx\)
3.231
\(\int \frac{1}{\sqrt{2-2 x^2} \sqrt{1+x^2}} \, dx\)
3.232
\(\int \frac{1}{\sqrt{2-3 x^2} \sqrt{1+x^2}} \, dx\)
3.233
\(\int \frac{1}{\sqrt{2-4 x^2} \sqrt{1+x^2}} \, dx\)
3.234
\(\int \frac{1}{\sqrt{2-5 x^2} \sqrt{1+x^2}} \, dx\)
3.235
\(\int \frac{1}{\sqrt{-1+x^2} \sqrt{2+5 x^2}} \, dx\)
3.236
\(\int \frac{1}{\sqrt{-1+x^2} \sqrt{2+4 x^2}} \, dx\)
3.237
\(\int \frac{1}{\sqrt{-1+x^2} \sqrt{2+3 x^2}} \, dx\)
3.238
\(\int \frac{1}{\sqrt{-1+x^2} \sqrt{2+2 x^2}} \, dx\)
3.239
\(\int \frac{1}{\sqrt{-1+x^2} \sqrt{2+x^2}} \, dx\)
3.240
\(\int \frac{1}{\sqrt{2-x^2} \sqrt{-1+x^2}} \, dx\)
3.241
\(\int \frac{1}{\sqrt{2-2 x^2} \sqrt{-1+x^2}} \, dx\)
3.242
\(\int \frac{1}{\sqrt{2-3 x^2} \sqrt{-1+x^2}} \, dx\)
3.243
\(\int \frac{1}{\sqrt{2-4 x^2} \sqrt{-1+x^2}} \, dx\)
3.244
\(\int \frac{1}{\sqrt{2-5 x^2} \sqrt{-1+x^2}} \, dx\)
3.245
\(\int \frac{1}{\sqrt{-1-x^2} \sqrt{2+5 x^2}} \, dx\)
3.246
\(\int \frac{1}{\sqrt{-1-x^2} \sqrt{2+4 x^2}} \, dx\)
3.247
\(\int \frac{1}{\sqrt{-1-x^2} \sqrt{2+3 x^2}} \, dx\)
3.248
\(\int \frac{1}{\sqrt{-1-x^2} \sqrt{2+2 x^2}} \, dx\)
3.249
\(\int \frac{1}{\sqrt{-1-x^2} \sqrt{2+x^2}} \, dx\)
3.250
\(\int \frac{1}{\sqrt{-1-x^2} \sqrt{2-x^2}} \, dx\)
3.251
\(\int \frac{1}{\sqrt{2-2 x^2} \sqrt{-1-x^2}} \, dx\)
3.252
\(\int \frac{1}{\sqrt{2-3 x^2} \sqrt{-1-x^2}} \, dx\)
3.253
\(\int \frac{1}{\sqrt{2-4 x^2} \sqrt{-1-x^2}} \, dx\)
3.254
\(\int \frac{1}{\sqrt{2-5 x^2} \sqrt{-1-x^2}} \, dx\)
3.255
\(\int \frac{\sqrt{a+b x^2}}{\sqrt{c-d x^2}} \, dx\)
3.256
\(\int \frac{\sqrt{-a-b x^2}}{\sqrt{c-d x^2}} \, dx\)
3.257
\(\int \frac{\sqrt{a+b x^2}}{\sqrt{-c+d x^2}} \, dx\)
3.258
\(\int \frac{\sqrt{-a-b x^2}}{\sqrt{-c+d x^2}} \, dx\)
3.259
\(\int \frac{\sqrt{a-b x^2}}{\sqrt{c-d x^2}} \, dx\)
3.260
\(\int \frac{\sqrt{-a+b x^2}}{\sqrt{c-d x^2}} \, dx\)
3.261
\(\int \frac{\sqrt{a-b x^2}}{\sqrt{-c+d x^2}} \, dx\)
3.262
\(\int \frac{\sqrt{-a+b x^2}}{\sqrt{-c+d x^2}} \, dx\)
3.263
\(\int \frac{\sqrt{a+b x^2}}{\sqrt{c+d x^2}} \, dx\)
3.264
\(\int \frac{\sqrt{-a-b x^2}}{\sqrt{c+d x^2}} \, dx\)
3.265
\(\int \frac{\sqrt{a+b x^2}}{\sqrt{-c-d x^2}} \, dx\)
3.266
\(\int \frac{\sqrt{-a-b x^2}}{\sqrt{-c-d x^2}} \, dx\)
3.267
\(\int \frac{\sqrt{a-b x^2}}{\sqrt{c+d x^2}} \, dx\)
3.268
\(\int \frac{\sqrt{-a+b x^2}}{\sqrt{c+d x^2}} \, dx\)
3.269
\(\int \frac{\sqrt{a-b x^2}}{\sqrt{-c-d x^2}} \, dx\)
3.270
\(\int \frac{\sqrt{-a+b x^2}}{\sqrt{-c-d x^2}} \, dx\)
3.271
\(\int \frac{\sqrt{c+d x^2}}{\sqrt{a-b x^2}} \, dx\)
3.272
\(\int \frac{\sqrt{-c-d x^2}}{\sqrt{a-b x^2}} \, dx\)
3.273
\(\int \frac{\sqrt{c+d x^2}}{\sqrt{-a+b x^2}} \, dx\)
3.274
\(\int \frac{\sqrt{-c-d x^2}}{\sqrt{-a+b x^2}} \, dx\)
3.275
\(\int \frac{\sqrt{c-d x^2}}{\sqrt{a-b x^2}} \, dx\)
3.276
\(\int \frac{\sqrt{-c+d x^2}}{\sqrt{a-b x^2}} \, dx\)
3.277
\(\int \frac{\sqrt{c-d x^2}}{\sqrt{-a+b x^2}} \, dx\)
3.278
\(\int \frac{\sqrt{-c+d x^2}}{\sqrt{-a+b x^2}} \, dx\)
3.279
\(\int \frac{\sqrt{c+d x^2}}{\sqrt{a+b x^2}} \, dx\)
3.280
\(\int \frac{\sqrt{-c-d x^2}}{\sqrt{a+b x^2}} \, dx\)
3.281
\(\int \frac{\sqrt{c+d x^2}}{\sqrt{-a-b x^2}} \, dx\)
3.282
\(\int \frac{\sqrt{-c-d x^2}}{\sqrt{-a-b x^2}} \, dx\)
3.283
\(\int \frac{\sqrt{c-d x^2}}{\sqrt{a+b x^2}} \, dx\)
3.284
\(\int \frac{\sqrt{-c+d x^2}}{\sqrt{a+b x^2}} \, dx\)
3.285
\(\int \frac{\sqrt{c-d x^2}}{\sqrt{-a-b x^2}} \, dx\)
3.286
\(\int \frac{\sqrt{-c+d x^2}}{\sqrt{-a-b x^2}} \, dx\)
3.287
\(\int \frac{1}{\sqrt{2+b x^2} \sqrt{3+d x^2}} \, dx\)
3.288
\(\int \frac{1}{\sqrt{4-x^2} \sqrt{c+d x^2}} \, dx\)
3.289
\(\int \frac{1}{\sqrt{4+x^2} \sqrt{c+d x^2}} \, dx\)
3.290
\(\int \frac{1}{\sqrt{1-x^2} \sqrt{-1+2 x^2}} \, dx\)
3.291
\(\int \frac{\sqrt{1-c^2 x^2}}{\sqrt{1+c^2 x^2}} \, dx\)
3.292
\(\int \frac{\sqrt{2+b x^2}}{\sqrt{3+d x^2}} \, dx\)
3.293
\(\int \frac{\sqrt{-1+3 x^2}}{\sqrt{2-3 x^2}} \, dx\)
3.294
\(\int \frac{\sqrt{1+\frac{2 c x^2}{b-\sqrt{b^2-4 a c}}}}{\sqrt{1-\frac{2 c x^2}{b+\sqrt{b^2-4 a c}}}} \, dx\)
3.295
\(\int \frac{\sqrt{1-\frac{2 c x^2}{b-\sqrt{b^2-4 a c}}}}{\sqrt{1-\frac{2 c x^2}{b+\sqrt{b^2-4 a c}}}} \, dx\)
3.296
\(\int \frac{\sqrt{1+\frac{2 c x^2}{b-\sqrt{b^2-4 a c}}}}{\sqrt{1+\frac{2 c x^2}{b+\sqrt{b^2-4 a c}}}} \, dx\)
3.297
\(\int \frac{\sqrt{1-\frac{2 c x^2}{b-\sqrt{b^2-4 a c}}}}{\sqrt{1+\frac{2 c x^2}{b+\sqrt{b^2-4 a c}}}} \, dx\)
3.298
\(\int \frac{\left (1-2 x^2\right )^m}{\sqrt{1-x^2}} \, dx\)
3.299
\(\int \frac{1}{\sqrt{-1+x^2} \sqrt{7-4 \sqrt{3}+x^2}} \, dx\)
3.300
\(\int \frac{1}{\sqrt{3-3 \sqrt{3}+2 \sqrt{3} x^2} \sqrt{3+\left (-3+\sqrt{3}\right ) x^2}} \, dx\)
3.301
\(\int \frac{1}{\sqrt [4]{2+3 x^2} \left (4+3 x^2\right )} \, dx\)
3.302
\(\int \frac{1}{\sqrt [4]{2-3 x^2} \left (4-3 x^2\right )} \, dx\)
3.303
\(\int \frac{1}{\sqrt [4]{2+b x^2} \left (4+b x^2\right )} \, dx\)
3.304
\(\int \frac{1}{\sqrt [4]{2-b x^2} \left (4-b x^2\right )} \, dx\)
3.305
\(\int \frac{1}{\sqrt [4]{a+3 x^2} \left (2 a+3 x^2\right )} \, dx\)
3.306
\(\int \frac{1}{\sqrt [4]{a-3 x^2} \left (2 a-3 x^2\right )} \, dx\)
3.307
\(\int \frac{1}{\sqrt [4]{a+b x^2} \left (2 a+b x^2\right )} \, dx\)
3.308
\(\int \frac{1}{\sqrt [4]{a-b x^2} \left (2 a-b x^2\right )} \, dx\)
3.309
\(\int \frac{1}{\left (-2+3 x^2\right ) \sqrt [4]{-1+3 x^2}} \, dx\)
3.310
\(\int \frac{1}{\left (-2-3 x^2\right ) \sqrt [4]{-1-3 x^2}} \, dx\)
3.311
\(\int \frac{1}{\left (-2+b x^2\right ) \sqrt [4]{-1+b x^2}} \, dx\)
3.312
\(\int \frac{1}{\left (-2-b x^2\right ) \sqrt [4]{-1-b x^2}} \, dx\)
3.313
\(\int \frac{1}{\left (-2 a+3 x^2\right ) \sqrt [4]{-a+3 x^2}} \, dx\)
3.314
\(\int \frac{1}{\left (-2 a-3 x^2\right ) \sqrt [4]{-a-3 x^2}} \, dx\)
3.315
\(\int \frac{1}{\left (-2 a+b x^2\right ) \sqrt [4]{-a+b x^2}} \, dx\)
3.316
\(\int \frac{1}{\left (-2 a-b x^2\right ) \sqrt [4]{-a-b x^2}} \, dx\)
3.317
\(\int \frac{1}{\left (2-x^2\right ) \sqrt [4]{-1+x^2}} \, dx\)
3.318
\(\int \frac{\left (a+b x^2\right )^{7/4}}{c+d x^2} \, dx\)
3.319
\(\int \frac{\left (a+b x^2\right )^{5/4}}{c+d x^2} \, dx\)
3.320
\(\int \frac{\left (a+b x^2\right )^{3/4}}{c+d x^2} \, dx\)
3.321
\(\int \frac{\sqrt [4]{a+b x^2}}{c+d x^2} \, dx\)
3.322
\(\int \frac{1}{\sqrt [4]{a+b x^2} \left (c+d x^2\right )} \, dx\)
3.323
\(\int \frac{1}{\left (a+b x^2\right )^{3/4} \left (c+d x^2\right )} \, dx\)
3.324
\(\int \frac{1}{\left (a+b x^2\right )^{5/4} \left (c+d x^2\right )} \, dx\)
3.325
\(\int \frac{1}{\left (a+b x^2\right )^{7/4} \left (c+d x^2\right )} \, dx\)
3.326
\(\int \frac{1}{\left (a+b x^2\right )^{9/4} \left (c+d x^2\right )} \, dx\)
3.327
\(\int \frac{1}{\left (a+b x^2\right )^{11/4} \left (c+d x^2\right )} \, dx\)
3.328
\(\int \frac{\left (a+b x^2\right )^{7/4}}{\left (c+d x^2\right )^2} \, dx\)
3.329
\(\int \frac{\left (a+b x^2\right )^{5/4}}{\left (c+d x^2\right )^2} \, dx\)
3.330
\(\int \frac{\left (a+b x^2\right )^{3/4}}{\left (c+d x^2\right )^2} \, dx\)
3.331
\(\int \frac{\sqrt [4]{a+b x^2}}{\left (c+d x^2\right )^2} \, dx\)
3.332
\(\int \frac{1}{\sqrt [4]{a+b x^2} \left (c+d x^2\right )^2} \, dx\)
3.333
\(\int \frac{1}{\left (a+b x^2\right )^{3/4} \left (c+d x^2\right )^2} \, dx\)
3.334
\(\int \frac{1}{\left (a+b x^2\right )^{5/4} \left (c+d x^2\right )^2} \, dx\)
3.335
\(\int \frac{1}{\left (a+b x^2\right )^{7/4} \left (c+d x^2\right )^2} \, dx\)
3.336
\(\int \frac{1}{\left (a+b x^2\right )^{9/4} \left (c+d x^2\right )^2} \, dx\)
3.337
\(\int \frac{1}{\left (a+b x^2\right )^{11/4} \left (c+d x^2\right )^2} \, dx\)
3.338
\(\int \left (a+b x^2\right )^p \left (c+d x^2\right )^q \, dx\)
3.339
\(\int \left (a+b x^2\right )^p \left (c+d x^2\right )^3 \, dx\)
3.340
\(\int \left (a+b x^2\right )^p \left (c+d x^2\right )^2 \, dx\)
3.341
\(\int \left (a+b x^2\right )^p \left (c+d x^2\right ) \, dx\)
3.342
\(\int \left (a+b x^2\right )^p \, dx\)
3.343
\(\int \frac{\left (a+b x^2\right )^p}{c+d x^2} \, dx\)
3.344
\(\int \frac{\left (a+b x^2\right )^p}{\left (c+d x^2\right )^2} \, dx\)
3.345
\(\int \frac{\left (a+b x^2\right )^p}{\left (c+d x^2\right )^3} \, dx\)
3.346
\(\int \left (a+b x^2\right )^{-1-\frac{b c}{2 b c-2 a d}} \left (c+d x^2\right )^{-1+\frac{a d}{2 b c-2 a d}} \, dx\)
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