Chapter 3
Listing of integrals

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