3.1 \(\int x^2 (a x+b x^3) \, dx\)
 3.2 \(\int x (a x+b x^3) \, dx\)
 3.3 \(\int (a x+b x^3) \, dx\)
 3.4 \(\int \frac{a x+b x^3}{x} \, dx\)
 3.5 \(\int \frac{a x+b x^3}{x^2} \, dx\)
 3.6 \(\int x^2 (a x+b x^3)^2 \, dx\)
 3.7 \(\int x (a x+b x^3)^2 \, dx\)
 3.8 \(\int (a x+b x^3)^2 \, dx\)
 3.9 \(\int \frac{(a x+b x^3)^2}{x} \, dx\)
 3.10 \(\int \frac{(a x+b x^3)^2}{x^2} \, dx\)
 3.11 \(\int (-4 x+3 x^3)^6 \, dx\)
 3.12 \(\int \frac{x^4}{a x+b x^3} \, dx\)
 3.13 \(\int \frac{x^3}{a x+b x^3} \, dx\)
 3.14 \(\int \frac{x^2}{a x+b x^3} \, dx\)
 3.15 \(\int \frac{x}{a x+b x^3} \, dx\)
 3.16 \(\int \frac{1}{a x+b x^3} \, dx\)
 3.17 \(\int \frac{1}{x (a x+b x^3)} \, dx\)
 3.18 \(\int \frac{1}{x^2 (a x+b x^3)} \, dx\)
 3.19 \(\int \frac{1}{x^3 (a x+b x^3)} \, dx\)
 3.20 \(\int \frac{1}{x^4 (a x+b x^3)} \, dx\)
 3.21 \(\int \frac{x^2}{(a x+b x^3)^2} \, dx\)
 3.22 \(\int \frac{x}{(a x+b x^3)^2} \, dx\)
 3.23 \(\int \frac{1}{(a x+b x^3)^2} \, dx\)
 3.24 \(\int \frac{1}{x (a x+b x^3)^2} \, dx\)
 3.25 \(\int \frac{1}{x^2 (a x+b x^3)^2} \, dx\)
 3.26 \(\int \frac{x^5}{x-x^3} \, dx\)
 3.27 \(\int \frac{x^4}{x-x^3} \, dx\)
 3.28 \(\int \frac{x^3}{x-x^3} \, dx\)
 3.29 \(\int \frac{x^2}{x-x^3} \, dx\)
 3.30 \(\int \frac{x}{x-x^3} \, dx\)
 3.31 \(\int \frac{1}{x-x^3} \, dx\)
 3.32 \(\int \frac{1}{x (x-x^3)} \, dx\)
 3.33 \(\int \frac{1}{x^2 (x-x^3)} \, dx\)
 3.34 \(\int \frac{1}{x^3 (x-x^3)} \, dx\)
 3.35 \(\int \frac{1}{x^4 (x-x^3)} \, dx\)
 3.36 \(\int \frac{1}{x+b x^3} \, dx\)
 3.37 \(\int \frac{1}{-x+b x^3} \, dx\)
 3.38 \(\int x^3 \sqrt{a x+b x^3} \, dx\)
 3.39 \(\int x^2 \sqrt{a x+b x^3} \, dx\)
 3.40 \(\int x \sqrt{a x+b x^3} \, dx\)
 3.41 \(\int \sqrt{a x+b x^3} \, dx\)
 3.42 \(\int \frac{\sqrt{a x+b x^3}}{x} \, dx\)
 3.43 \(\int \frac{\sqrt{a x+b x^3}}{x^2} \, dx\)
 3.44 \(\int \frac{\sqrt{a x+b x^3}}{x^3} \, dx\)
 3.45 \(\int \frac{\sqrt{a x+b x^3}}{x^4} \, dx\)
 3.46 \(\int x^2 (a x+b x^3)^{3/2} \, dx\)
 3.47 \(\int x (a x+b x^3)^{3/2} \, dx\)
 3.48 \(\int (a x+b x^3)^{3/2} \, dx\)
 3.49 \(\int \frac{(a x+b x^3)^{3/2}}{x} \, dx\)
 3.50 \(\int \frac{(a x+b x^3)^{3/2}}{x^2} \, dx\)
 3.51 \(\int \frac{(a x+b x^3)^{3/2}}{x^3} \, dx\)
 3.52 \(\int \frac{(a x+b x^3)^{3/2}}{x^4} \, dx\)
 3.53 \(\int \frac{(a x+b x^3)^{3/2}}{x^5} \, dx\)
 3.54 \(\int \frac{(a x+b x^3)^{3/2}}{x^6} \, dx\)
 3.55 \(\int \frac{(a x+b x^3)^{3/2}}{x^7} \, dx\)
 3.56 \(\int \frac{(a x+b x^3)^{3/2}}{x^8} \, dx\)
 3.57 \(\int \frac{x^4}{\sqrt{a x+b x^3}} \, dx\)
 3.58 \(\int \frac{x^3}{\sqrt{a x+b x^3}} \, dx\)
 3.59 \(\int \frac{x^2}{\sqrt{a x+b x^3}} \, dx\)
 3.60 \(\int \frac{x}{\sqrt{a x+b x^3}} \, dx\)
 3.61 \(\int \frac{1}{\sqrt{a x+b x^3}} \, dx\)
 3.62 \(\int \frac{1}{x \sqrt{a x+b x^3}} \, dx\)
 3.63 \(\int \frac{1}{x^2 \sqrt{a x+b x^3}} \, dx\)
 3.64 \(\int \frac{1}{x^3 \sqrt{a x+b x^3}} \, dx\)
 3.65 \(\int \frac{x^7}{(a x+b x^3)^{3/2}} \, dx\)
 3.66 \(\int \frac{x^6}{(a x+b x^3)^{3/2}} \, dx\)
 3.67 \(\int \frac{x^5}{(a x+b x^3)^{3/2}} \, dx\)
 3.68 \(\int \frac{x^4}{(a x+b x^3)^{3/2}} \, dx\)
 3.69 \(\int \frac{x^3}{(a x+b x^3)^{3/2}} \, dx\)
 3.70 \(\int \frac{x^2}{(a x+b x^3)^{3/2}} \, dx\)
 3.71 \(\int \frac{x}{(a x+b x^3)^{3/2}} \, dx\)
 3.72 \(\int \frac{1}{(a x+b x^3)^{3/2}} \, dx\)
 3.73 \(\int \frac{1}{x (a x+b x^3)^{3/2}} \, dx\)
 3.74 \(\int \frac{1}{x^2 (a x+b x^3)^{3/2}} \, dx\)
 3.75 \(\int \frac{x^{29/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.76 \(\int \frac{x^{27/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.77 \(\int \frac{x^{25/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.78 \(\int \frac{x^{23/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.79 \(\int \frac{x^{21/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.80 \(\int \frac{x^{19/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.81 \(\int \frac{x^{17/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.82 \(\int \frac{x^{15/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.83 \(\int \frac{x^{13/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.84 \(\int \frac{x^{11/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.85 \(\int \frac{x^{9/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.86 \(\int \frac{x^{7/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.87 \(\int \frac{x^{5/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.88 \(\int \frac{x^{3/2}}{(a x+b x^3)^{9/2}} \, dx\)
 3.89 \(\int \frac{\sqrt{x}}{(a x+b x^3)^{9/2}} \, dx\)
 3.90 \(\int \frac{1}{\sqrt{x} (a x+b x^3)^{9/2}} \, dx\)
 3.91 \(\int \frac{1}{x^{3/2} (a x+b x^3)^{9/2}} \, dx\)
 3.92 \(\int \frac{x^4}{\sqrt{a x+b x^4}} \, dx\)
 3.93 \(\int \frac{x}{\sqrt{a x+b x^4}} \, dx\)
 3.94 \(\int \frac{1}{x^2 \sqrt{a x+b x^4}} \, dx\)
 3.95 \(\int \frac{1}{x^5 \sqrt{a x+b x^4}} \, dx\)
 3.96 \(\int \frac{1}{x^8 \sqrt{a x+b x^4}} \, dx\)
 3.97 \(\int \frac{x^3}{\sqrt{a x+b x^4}} \, dx\)
 3.98 \(\int \frac{1}{\sqrt{a x+b x^4}} \, dx\)
 3.99 \(\int \frac{1}{x^3 \sqrt{a x+b x^4}} \, dx\)
 3.100 \(\int \frac{x^5}{\sqrt{a x+b x^4}} \, dx\)
 3.101 \(\int \frac{x^2}{\sqrt{a x+b x^4}} \, dx\)
 3.102 \(\int \frac{1}{x \sqrt{a x+b x^4}} \, dx\)
 3.103 \(\int \frac{x^2}{\sqrt{b \sqrt{x}+a x}} \, dx\)
 3.104 \(\int \frac{x}{\sqrt{b \sqrt{x}+a x}} \, dx\)
 3.105 \(\int \frac{1}{\sqrt{b \sqrt{x}+a x}} \, dx\)
 3.106 \(\int \frac{1}{x \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.107 \(\int \frac{1}{x^2 \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.108 \(\int \frac{1}{x^3 \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.109 \(\int \frac{1}{x^4 \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.110 \(\int \frac{x^3}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.111 \(\int \frac{x^2}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.112 \(\int \frac{x}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.113 \(\int \frac{1}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.114 \(\int \frac{1}{x (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.115 \(\int \frac{1}{x^2 (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.116 \(\int \frac{1}{x^3 (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.117 \(\int \frac{x^{5/2}}{\sqrt{b \sqrt{x}+a x}} \, dx\)
 3.118 \(\int \frac{x^{3/2}}{\sqrt{b \sqrt{x}+a x}} \, dx\)
 3.119 \(\int \frac{\sqrt{x}}{\sqrt{b \sqrt{x}+a x}} \, dx\)
 3.120 \(\int \frac{1}{\sqrt{x} \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.121 \(\int \frac{1}{x^{3/2} \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.122 \(\int \frac{1}{x^{5/2} \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.123 \(\int \frac{1}{x^{7/2} \sqrt{b \sqrt{x}+a x}} \, dx\)
 3.124 \(\int \frac{x^{5/2}}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.125 \(\int \frac{x^{3/2}}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.126 \(\int \frac{\sqrt{x}}{(b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.127 \(\int \frac{1}{\sqrt{x} (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.128 \(\int \frac{1}{x^{3/2} (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.129 \(\int \frac{1}{x^{5/2} (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.130 \(\int \frac{1}{x^{7/2} (b \sqrt{x}+a x)^{3/2}} \, dx\)
 3.131 \(\int x^3 \sqrt{b \sqrt [3]{x}+a x} \, dx\)
 3.132 \(\int x^2 \sqrt{b \sqrt [3]{x}+a x} \, dx\)
 3.133 \(\int x \sqrt{b \sqrt [3]{x}+a x} \, dx\)
 3.134 \(\int \sqrt{b \sqrt [3]{x}+a x} \, dx\)
 3.135 \(\int \frac{\sqrt{b \sqrt [3]{x}+a x}}{x} \, dx\)
 3.136 \(\int \frac{\sqrt{b \sqrt [3]{x}+a x}}{x^2} \, dx\)
 3.137 \(\int \frac{\sqrt{b \sqrt [3]{x}+a x}}{x^3} \, dx\)
 3.138 \(\int \frac{\sqrt{b \sqrt [3]{x}+a x}}{x^4} \, dx\)
 3.139 \(\int \frac{\sqrt{b \sqrt [3]{x}+a x}}{x^5} \, dx\)
 3.140 \(\int x^2 (b \sqrt [3]{x}+a x)^{3/2} \, dx\)
 3.141 \(\int x (b \sqrt [3]{x}+a x)^{3/2} \, dx\)
 3.142 \(\int (b \sqrt [3]{x}+a x)^{3/2} \, dx\)
 3.143 \(\int \frac{(b \sqrt [3]{x}+a x)^{3/2}}{x} \, dx\)
 3.144 \(\int \frac{(b \sqrt [3]{x}+a x)^{3/2}}{x^2} \, dx\)
 3.145 \(\int \frac{(b \sqrt [3]{x}+a x)^{3/2}}{x^3} \, dx\)
 3.146 \(\int \frac{(b \sqrt [3]{x}+a x)^{3/2}}{x^4} \, dx\)
 3.147 \(\int \frac{(b \sqrt [3]{x}+a x)^{3/2}}{x^5} \, dx\)
 3.148 \(\int \frac{(b \sqrt [3]{x}+a x)^{3/2}}{x^6} \, dx\)
 3.149 \(\int \frac{x^4}{\sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.150 \(\int \frac{x^3}{\sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.151 \(\int \frac{x^2}{\sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.152 \(\int \frac{x}{\sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.153 \(\int \frac{1}{\sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.154 \(\int \frac{1}{x \sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.155 \(\int \frac{1}{x^2 \sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.156 \(\int \frac{1}{x^3 \sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.157 \(\int \frac{1}{x^4 \sqrt{b \sqrt [3]{x}+a x}} \, dx\)
 3.158 \(\int \frac{x^4}{(b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.159 \(\int \frac{x^3}{(b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.160 \(\int \frac{x^2}{(b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.161 \(\int \frac{x}{(b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.162 \(\int \frac{1}{(b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.163 \(\int \frac{1}{x (b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.164 \(\int \frac{1}{x^2 (b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.165 \(\int \frac{1}{x^3 (b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.166 \(\int \frac{1}{x^4 (b \sqrt [3]{x}+a x)^{3/2}} \, dx\)
 3.167 \(\int x^3 \sqrt{b x^{2/3}+a x} \, dx\)
 3.168 \(\int x^2 \sqrt{b x^{2/3}+a x} \, dx\)
 3.169 \(\int x \sqrt{b x^{2/3}+a x} \, dx\)
 3.170 \(\int \sqrt{b x^{2/3}+a x} \, dx\)
 3.171 \(\int \frac{\sqrt{b x^{2/3}+a x}}{x} \, dx\)
 3.172 \(\int \frac{\sqrt{b x^{2/3}+a x}}{x^2} \, dx\)
 3.173 \(\int \frac{\sqrt{b x^{2/3}+a x}}{x^3} \, dx\)
 3.174 \(\int \frac{\sqrt{b x^{2/3}+a x}}{x^4} \, dx\)
 3.175 \(\int \frac{\sqrt{b x^{2/3}+a x}}{x^5} \, dx\)
 3.176 \(\int x^2 (b x^{2/3}+a x)^{3/2} \, dx\)
 3.177 \(\int x (b x^{2/3}+a x)^{3/2} \, dx\)
 3.178 \(\int (b x^{2/3}+a x)^{3/2} \, dx\)
 3.179 \(\int \frac{(b x^{2/3}+a x)^{3/2}}{x} \, dx\)
 3.180 \(\int \frac{(b x^{2/3}+a x)^{3/2}}{x^2} \, dx\)
 3.181 \(\int \frac{(b x^{2/3}+a x)^{3/2}}{x^3} \, dx\)
 3.182 \(\int \frac{(b x^{2/3}+a x)^{3/2}}{x^4} \, dx\)
 3.183 \(\int \frac{(b x^{2/3}+a x)^{3/2}}{x^5} \, dx\)
 3.184 \(\int \frac{(b x^{2/3}+a x)^{3/2}}{x^6} \, dx\)
 3.185 \(\int \frac{x^4}{\sqrt{b x^{2/3}+a x}} \, dx\)
 3.186 \(\int \frac{x^3}{\sqrt{b x^{2/3}+a x}} \, dx\)
 3.187 \(\int \frac{x^2}{\sqrt{b x^{2/3}+a x}} \, dx\)
 3.188 \(\int \frac{x}{\sqrt{b x^{2/3}+a x}} \, dx\)
 3.189 \(\int \frac{1}{\sqrt{b x^{2/3}+a x}} \, dx\)
 3.190 \(\int \frac{1}{x \sqrt{b x^{2/3}+a x}} \, dx\)
 3.191 \(\int \frac{1}{x^2 \sqrt{b x^{2/3}+a x}} \, dx\)
 3.192 \(\int \frac{1}{x^3 \sqrt{b x^{2/3}+a x}} \, dx\)
 3.193 \(\int \frac{1}{x^4 \sqrt{b x^{2/3}+a x}} \, dx\)
 3.194 \(\int \frac{x^4}{(b x^{2/3}+a x)^{3/2}} \, dx\)
 3.195 \(\int \frac{x^3}{(b x^{2/3}+a x)^{3/2}} \, dx\)
 3.196 \(\int \frac{x^2}{(b x^{2/3}+a x)^{3/2}} \, dx\)
 3.197 \(\int \frac{x}{(b x^{2/3}+a x)^{3/2}} \, dx\)
 3.198 \(\int \frac{1}{(b x^{2/3}+a x)^{3/2}} \, dx\)
 3.199 \(\int \frac{1}{x (b x^{2/3}+a x)^{3/2}} \, dx\)
 3.200 \(\int \frac{1}{x^2 (b x^{2/3}+a x)^{3/2}} \, dx\)
 3.201 \(\int \frac{1}{x^3 (b x^{2/3}+a x)^{3/2}} \, dx\)
 3.202 \(\int \frac{1}{x^4 (b x^{2/3}+a x)^{3/2}} \, dx\)
 3.203 \(\int x^2 (a x^2+b x^3) \, dx\)
 3.204 \(\int x (a x^2+b x^3) \, dx\)
 3.205 \(\int (a x^2+b x^3) \, dx\)
 3.206 \(\int \frac{a x^2+b x^3}{x} \, dx\)
 3.207 \(\int \frac{a x^2+b x^3}{x^2} \, dx\)
 3.208 \(\int x^2 (a x^2+b x^3)^2 \, dx\)
 3.209 \(\int x (a x^2+b x^3)^2 \, dx\)
 3.210 \(\int (a x^2+b x^3)^2 \, dx\)
 3.211 \(\int \frac{(a x^2+b x^3)^2}{x} \, dx\)
 3.212 \(\int \frac{(a x^2+b x^3)^2}{x^2} \, dx\)
 3.213 \(\int \frac{x^6}{a x^2+b x^3} \, dx\)
 3.214 \(\int \frac{x^5}{a x^2+b x^3} \, dx\)
 3.215 \(\int \frac{x^4}{a x^2+b x^3} \, dx\)
 3.216 \(\int \frac{x^3}{a x^2+b x^3} \, dx\)
 3.217 \(\int \frac{x^2}{a x^2+b x^3} \, dx\)
 3.218 \(\int \frac{x}{a x^2+b x^3} \, dx\)
 3.219 \(\int \frac{1}{a x^2+b x^3} \, dx\)
 3.220 \(\int \frac{1}{x (a x^2+b x^3)} \, dx\)
 3.221 \(\int \frac{1}{x^2 (a x^2+b x^3)} \, dx\)
 3.222 \(\int \frac{x^8}{(a x^2+b x^3)^2} \, dx\)
 3.223 \(\int \frac{x^7}{(a x^2+b x^3)^2} \, dx\)
 3.224 \(\int \frac{x^6}{(a x^2+b x^3)^2} \, dx\)
 3.225 \(\int \frac{x^5}{(a x^2+b x^3)^2} \, dx\)
 3.226 \(\int \frac{x^4}{(a x^2+b x^3)^2} \, dx\)
 3.227 \(\int \frac{x^3}{(a x^2+b x^3)^2} \, dx\)
 3.228 \(\int \frac{x^2}{(a x^2+b x^3)^2} \, dx\)
 3.229 \(\int \frac{x}{(a x^2+b x^3)^2} \, dx\)
 3.230 \(\int \frac{1}{(a x^2+b x^3)^2} \, dx\)
 3.231 \(\int \frac{1}{x (a x^2+b x^3)^2} \, dx\)
 3.232 \(\int x^2 \sqrt{a x^2+b x^3} \, dx\)
 3.233 \(\int x \sqrt{a x^2+b x^3} \, dx\)
 3.234 \(\int \sqrt{a x^2+b x^3} \, dx\)
 3.235 \(\int \frac{\sqrt{a x^2+b x^3}}{x} \, dx\)
 3.236 \(\int \frac{\sqrt{a x^2+b x^3}}{x^2} \, dx\)
 3.237 \(\int \frac{\sqrt{a x^2+b x^3}}{x^3} \, dx\)
 3.238 \(\int \frac{\sqrt{a x^2+b x^3}}{x^4} \, dx\)
 3.239 \(\int \frac{\sqrt{a x^2+b x^3}}{x^5} \, dx\)
 3.240 \(\int x^2 (a x^2+b x^3)^{3/2} \, dx\)
 3.241 \(\int x (a x^2+b x^3)^{3/2} \, dx\)
 3.242 \(\int (a x^2+b x^3)^{3/2} \, dx\)
 3.243 \(\int \frac{(a x^2+b x^3)^{3/2}}{x} \, dx\)
 3.244 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^2} \, dx\)
 3.245 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^3} \, dx\)
 3.246 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^4} \, dx\)
 3.247 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^5} \, dx\)
 3.248 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^6} \, dx\)
 3.249 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^7} \, dx\)
 3.250 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^8} \, dx\)
 3.251 \(\int \frac{(a x^2+b x^3)^{3/2}}{x^9} \, dx\)
 3.252 \(\int \frac{x^4}{\sqrt{a x^2+b x^3}} \, dx\)
 3.253 \(\int \frac{x^3}{\sqrt{a x^2+b x^3}} \, dx\)
 3.254 \(\int \frac{x^2}{\sqrt{a x^2+b x^3}} \, dx\)
 3.255 \(\int \frac{x}{\sqrt{a x^2+b x^3}} \, dx\)
 3.256 \(\int \frac{1}{\sqrt{a x^2+b x^3}} \, dx\)
 3.257 \(\int \frac{1}{x \sqrt{a x^2+b x^3}} \, dx\)
 3.258 \(\int \frac{1}{x^2 \sqrt{a x^2+b x^3}} \, dx\)
 3.259 \(\int \frac{1}{x^3 \sqrt{a x^2+b x^3}} \, dx\)
 3.260 \(\int \frac{x^6}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.261 \(\int \frac{x^5}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.262 \(\int \frac{x^4}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.263 \(\int \frac{x^3}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.264 \(\int \frac{x^2}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.265 \(\int \frac{x}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.266 \(\int \frac{1}{(a x^2+b x^3)^{3/2}} \, dx\)
 3.267 \(\int \frac{1}{x (a x^2+b x^3)^{3/2}} \, dx\)
 3.268 \(\int \frac{1}{x^2 (a x^2+b x^3)^{3/2}} \, dx\)
 3.269 \(\int \frac{x^{7/2}}{\sqrt{a x^2+b x^3}} \, dx\)
 3.270 \(\int \frac{x^{5/2}}{\sqrt{a x^2+b x^3}} \, dx\)
 3.271 \(\int \frac{x^{3/2}}{\sqrt{a x^2+b x^3}} \, dx\)
 3.272 \(\int \frac{\sqrt{x}}{\sqrt{a x^2+b x^3}} \, dx\)
 3.273 \(\int \frac{1}{\sqrt{x} \sqrt{a x^2+b x^3}} \, dx\)
 3.274 \(\int \frac{1}{x^{3/2} \sqrt{a x^2+b x^3}} \, dx\)
 3.275 \(\int \frac{1}{x^{5/2} \sqrt{a x^2+b x^3}} \, dx\)
 3.276 \(\int \frac{1}{x^{7/2} \sqrt{a x^2+b x^3}} \, dx\)
 3.277 \(\int x^{1-3 n} (a x^2+b x^3)^n \, dx\)
 3.278 \(\int x^{-3 n} (a x^2+b x^3)^n \, dx\)
 3.279 \(\int x^{-1-3 n} (a x^2+b x^3)^n \, dx\)
 3.280 \(\int x^{-2-3 n} (a x^2+b x^3)^n \, dx\)
 3.281 \(\int x^{-3-3 n} (a x^2+b x^3)^n \, dx\)
 3.282 \(\int x^{-4-3 n} (a x^2+b x^3)^n \, dx\)
 3.283 \(\int \frac{x^{11}}{(a x^2+b x^5)^3} \, dx\)
 3.284 \(\int \frac{x^9}{\sqrt{a x^2+b x^5}} \, dx\)
 3.285 \(\int \frac{x^6}{\sqrt{a x^2+b x^5}} \, dx\)
 3.286 \(\int \frac{x^3}{\sqrt{a x^2+b x^5}} \, dx\)
 3.287 \(\int \frac{1}{\sqrt{a x^2+b x^5}} \, dx\)
 3.288 \(\int \frac{1}{x^3 \sqrt{a x^2+b x^5}} \, dx\)
 3.289 \(\int \frac{x^4}{\sqrt{a x^2+b x^5}} \, dx\)
 3.290 \(\int \frac{x}{\sqrt{a x^2+b x^5}} \, dx\)
 3.291 \(\int \frac{1}{x^2 \sqrt{a x^2+b x^5}} \, dx\)
 3.292 \(\int \frac{x^5}{\sqrt{a x^2+b x^5}} \, dx\)
 3.293 \(\int \frac{x^2}{\sqrt{a x^2+b x^5}} \, dx\)
 3.294 \(\int \frac{1}{x \sqrt{a x^2+b x^5}} \, dx\)
 3.295 \(\int \frac{x^{13/2}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.296 \(\int \frac{x^{11/2}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.297 \(\int \frac{x^{9/2}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.298 \(\int \frac{x^{7/2}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.299 \(\int \frac{x^{5/2}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.300 \(\int \frac{x^{3/2}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.301 \(\int \frac{\sqrt{x}}{\sqrt{a x^2+b x^5}} \, dx\)
 3.302 \(\int \frac{1}{\sqrt{x} \sqrt{a x^2+b x^5}} \, dx\)
 3.303 \(\int \frac{1}{x^{3/2} \sqrt{a x^2+b x^5}} \, dx\)
 3.304 \(\int \frac{1}{x^{5/2} \sqrt{a x^2+b x^5}} \, dx\)
 3.305 \(\int \frac{1}{x^{7/2} \sqrt{a x^2+b x^5}} \, dx\)
 3.306 \(\int \frac{1}{x^{9/2} \sqrt{a x^2+b x^5}} \, dx\)
 3.307 \(\int \frac{1}{x^{11/2} \sqrt{a x^2+b x^5}} \, dx\)
 3.308 \(\int \frac{x}{a x^3+b x^4} \, dx\)
 3.309 \(\int \frac{1}{a x^3+b x^4} \, dx\)
 3.310 \(\int \frac{x^4}{\sqrt{a x^3+b x^4}} \, dx\)
 3.311 \(\int \frac{x^3}{\sqrt{a x^3+b x^4}} \, dx\)
 3.312 \(\int \frac{x^2}{\sqrt{a x^3+b x^4}} \, dx\)
 3.313 \(\int \frac{x}{\sqrt{a x^3+b x^4}} \, dx\)
 3.314 \(\int \frac{1}{\sqrt{a x^3+b x^4}} \, dx\)
 3.315 \(\int \frac{1}{x \sqrt{a x^3+b x^4}} \, dx\)
 3.316 \(\int \frac{1}{x^2 \sqrt{a x^3+b x^4}} \, dx\)
 3.317 \(\int \frac{1}{x^3 \sqrt{a x^3+b x^4}} \, dx\)
 3.318 \(\int \frac{1}{x^4 \sqrt{a x^3+b x^4}} \, dx\)
 3.319 \(\int \frac{1}{x^3+b x^5} \, dx\)
 3.320 \(\int \frac{1}{-x^3+b x^5} \, dx\)
 3.321 \(\int \frac{1}{a x+b x} \, dx\)
 3.322 \(\int \frac{1}{(a x+b x)^2} \, dx\)
 3.323 \(\int \frac{1}{(a x+b x)^3} \, dx\)
 3.324 \(\int \frac{1}{a x^2+b x^2} \, dx\)
 3.325 \(\int \frac{1}{a x^n+b x^n} \, dx\)
 3.326 \(\int \frac{1}{(a x^n+b x^n)^2} \, dx\)
 3.327 \(\int \frac{1}{(a x^n+b x^n)^3} \, dx\)
 3.328 \(\int (a x+b x^{14})^{12} \, dx\)
 3.329 \(\int x^{12} (a x+b x^{26})^{12} \, dx\)
 3.330 \(\int x^{24} (a x+b x^{38})^{12} \, dx\)
 3.331 \(\int x^{12 (-1+m)} (a x+b x^{2+12 m})^{12} \, dx\)
 3.332 \(\int (a x+b x^{14})^{12} \, dx\)
 3.333 \(\int (a x^2+b x^{27})^{12} \, dx\)
 3.334 \(\int (a x^3+b x^{40})^{12} \, dx\)
 3.335 \(\int (a x^m+b x^{1+13 m})^{12} \, dx\)
 3.336 \(\int (a x^m+b x^{1+6 m})^5 \, dx\)
 3.337 \(\int \frac{1}{(b x^{1-2 m}+a x^m)^3} \, dx\)
 3.338 \(\int \frac{1}{\frac{b}{x}+a x} \, dx\)
 3.339 \(\int \frac{1}{\frac{b}{x^2}+a x} \, dx\)
 3.340 \(\int \frac{1}{\frac{b}{x^3}+a x} \, dx\)
 3.341 \(\int \frac{1}{(\frac{b}{x}+a x)^3} \, dx\)
 3.342 \(\int \frac{1}{(\frac{b}{x^3}+a x^2)^3} \, dx\)
 3.343 \(\int \frac{1}{(\frac{b}{x^5}+a x^3)^3} \, dx\)
 3.344 \(\int (\frac{a}{x}+b x)^2 \, dx\)
 3.345 \(\int (\frac{a}{x}+b x)^3 \, dx\)
 3.346 \(\int (\frac{a}{x}+b x)^4 \, dx\)
 3.347 \(\int \frac{1}{\frac{1}{x^2}+x^3} \, dx\)
 3.348 \(\int x^p (a x^n+b x^{1+13 n+p})^{12} \, dx\)
 3.349 \(\int x^{12} (a+b x^{13})^{12} \, dx\)
 3.350 \(\int x^{12} (a x+b x^{26})^{12} \, dx\)
 3.351 \(\int x^{12} (a x^2+b x^{39})^{12} \, dx\)
 3.352 \(\int x^{24} (a+b x^{25})^{12} \, dx\)
 3.353 \(\int x^{24} (a x+b x^{38})^{12} \, dx\)
 3.354 \(\int x^{36} (a+b x^{37})^{12} \, dx\)
 3.355 \(\int \frac{1}{a x+b x^n} \, dx\)
 3.356 \(\int \frac{1}{a x+b x^{1+n}} \, dx\)
 3.357 \(\int \frac{1}{a x+b x^{1-n}} \, dx\)
 3.358 \(\int \frac{1}{2 x+3 x^{1+n}} \, dx\)
 3.359 \(\int \frac{1}{2 x+3 x^{1-n}} \, dx\)
 3.360 \(\int \frac{1}{-\sqrt{x}+x} \, dx\)
 3.361 \(\int \frac{1}{-x^{3/5}+x} \, dx\)
 3.362 \(\int \frac{1}{\frac{1}{\sqrt [3]{x}}+x} \, dx\)
 3.363 \(\int \frac{1}{x+x^{\sqrt{2}}} \, dx\)
 3.364 \(\int x^{-1-\frac{j}{2}} \sqrt{a x^j+b x^n} \, dx\)
 3.365 \(\int (c x)^{-1-\frac{j}{2}} \sqrt{a x^j+b x^n} \, dx\)
 3.366 \(\int \frac{\sqrt{a x^3+b x^n}}{(c x)^{5/2}} \, dx\)
 3.367 \(\int \frac{\sqrt{a x^2+b x^n}}{c^2 x^2} \, dx\)
 3.368 \(\int \frac{\sqrt{a x+b x^n}}{(c x)^{3/2}} \, dx\)
 3.369 \(\int \frac{\sqrt{a+b x^n}}{c x} \, dx\)
 3.370 \(\int \frac{\sqrt{\frac{a}{x}+b x^n}}{\sqrt{c x}} \, dx\)
 3.371 \(\int \sqrt{\frac{a}{x^2}+b x^n} \, dx\)
 3.372 \(\int \sqrt{c x} \sqrt{\frac{a}{x^3}+b x^n} \, dx\)
 3.373 \(\int (c x)^{-1-\frac{3 j}{2}} (a x^j+b x^n)^{3/2} \, dx\)
 3.374 \(\int \frac{(a x^3+b x^n)^{3/2}}{(c x)^{11/2}} \, dx\)
 3.375 \(\int \frac{(a x^2+b x^n)^{3/2}}{c^4 x^4} \, dx\)
 3.376 \(\int \frac{(a x+b x^n)^{3/2}}{(c x)^{5/2}} \, dx\)
 3.377 \(\int \frac{(a+b x^n)^{3/2}}{c x} \, dx\)
 3.378 \(\int \sqrt{c x} (\frac{a}{x}+b x^n)^{3/2} \, dx\)
 3.379 \(\int c^2 x^2 (\frac{a}{x^2}+b x^n)^{3/2} \, dx\)
 3.380 \(\int (c x)^{7/2} (\frac{a}{x^3}+b x^n)^{3/2} \, dx\)
 3.381 \(\int c^5 x^5 (\frac{a}{x^4}+b x^n)^{3/2} \, dx\)
 3.382 \(\int \sqrt{\frac{a+b x}{x^2}} \, dx\)
 3.383 \(\int \sqrt{\frac{a+b x^2}{x^2}} \, dx\)
 3.384 \(\int \sqrt{\frac{a+b x^3}{x^2}} \, dx\)
 3.385 \(\int \sqrt{\frac{a+b x^n}{x^2}} \, dx\)
 3.386 \(\int \sqrt{\frac{-a+b x}{x^2}} \, dx\)
 3.387 \(\int \sqrt{\frac{-a+b x^2}{x^2}} \, dx\)
 3.388 \(\int \sqrt{\frac{-a+b x^3}{x^2}} \, dx\)
 3.389 \(\int \sqrt{\frac{-a+b x^n}{x^2}} \, dx\)
 3.390 \(\int \frac{(c x)^{-1+\frac{j}{2}}}{\sqrt{a x^j+b x^n}} \, dx\)
 3.391 \(\int \frac{\sqrt{c x}}{\sqrt{a x^3+b x^n}} \, dx\)
 3.392 \(\int \frac{1}{\sqrt{a x^2+b x^n}} \, dx\)
 3.393 \(\int \frac{1}{\sqrt{c x} \sqrt{a x+b x^n}} \, dx\)
 3.394 \(\int \frac{1}{c x \sqrt{a+b x^n}} \, dx\)
 3.395 \(\int \frac{1}{(c x)^{3/2} \sqrt{\frac{a}{x}+b x^n}} \, dx\)
 3.396 \(\int \frac{1}{c^2 x^2 \sqrt{\frac{a}{x^2}+b x^n}} \, dx\)
 3.397 \(\int \frac{1}{(c x)^{5/2} \sqrt{\frac{a}{x^3}+b x^n}} \, dx\)
 3.398 \(\int \frac{(c x)^{-1+\frac{3 j}{2}}}{(a x^j+b x^n)^{3/2}} \, dx\)
 3.399 \(\int \frac{(c x)^{7/2}}{(a x^3+b x^n)^{3/2}} \, dx\)
 3.400 \(\int \frac{c^2 x^2}{(a x^2+b x^n)^{3/2}} \, dx\)
 3.401 \(\int \frac{\sqrt{c x}}{(a x+b x^n)^{3/2}} \, dx\)
 3.402 \(\int \frac{1}{c x (a+b x^n)^{3/2}} \, dx\)
 3.403 \(\int \frac{1}{(c x)^{5/2} (\frac{a}{x}+b x^n)^{3/2}} \, dx\)
 3.404 \(\int \frac{1}{c^4 x^4 (\frac{a}{x^2}+b x^n)^{3/2}} \, dx\)
 3.405 \(\int \frac{1}{(c x)^{11/2} (\frac{a}{x^3}+b x^n)^{3/2}} \, dx\)
 3.406 \(\int \frac{1}{c^7 x^7 (\frac{a}{x^4}+b x^n)^{3/2}} \, dx\)
 3.407 \(\int \frac{1}{\sqrt{\frac{a+b x^3}{x}}} \, dx\)
 3.408 \(\int \frac{1}{\sqrt{\frac{a+b x^4}{x^2}}} \, dx\)
 3.409 \(\int \frac{1}{\sqrt{\frac{a+b x^5}{x^3}}} \, dx\)
 3.410 \(\int \frac{1}{\sqrt{x^{2-n} (a+b x^n)}} \, dx\)
 3.411 \(\int \frac{1}{\sqrt{\frac{a-b x^3}{x}}} \, dx\)
 3.412 \(\int \frac{1}{\sqrt{\frac{a-b x^4}{x^2}}} \, dx\)
 3.413 \(\int \frac{1}{\sqrt{\frac{a-b x^5}{x^3}}} \, dx\)
 3.414 \(\int \frac{1}{\sqrt{x^{2-n} (a-b x^n)}} \, dx\)
 3.415 \(\int \frac{1}{\sqrt{x^n (a+b x^{2-n})}} \, dx\)
 3.416 \(\int \frac{1}{\sqrt{x^2 (b+a x^{-2+n})}} \, dx\)
 3.417 \(\int \frac{1}{\sqrt{x (b x+a x^{-1+n})}} \, dx\)
 3.418 \(\int \frac{1}{\sqrt{x^n (a-b x^{2-n})}} \, dx\)
 3.419 \(\int \frac{1}{\sqrt{x^2 (-b+a x^{-2+n})}} \, dx\)
 3.420 \(\int \frac{1}{\sqrt{x (-b x+a x^{-1+n})}} \, dx\)
 3.421 \(\int (c x)^m (a x^j+b x^n)^{3/2} \, dx\)
 3.422 \(\int (c x)^m \sqrt{a x^j+b x^n} \, dx\)
 3.423 \(\int \frac{(c x)^m}{\sqrt{a x^j+b x^n}} \, dx\)
 3.424 \(\int \frac{(c x)^m}{(a x^j+b x^n)^{3/2}} \, dx\)
 3.425 \(\int \frac{(c x)^m}{(a x^j+b x^n)^{5/2}} \, dx\)
 3.426 \(\int (a x^j+b x^n)^{3/2} \, dx\)
 3.427 \(\int \sqrt{a x^j+b x^n} \, dx\)
 3.428 \(\int \frac{1}{\sqrt{a x^j+b x^n}} \, dx\)
 3.429 \(\int \frac{1}{(a x^j+b x^n)^{3/2}} \, dx\)
 3.430 \(\int \frac{1}{(a x^j+b x^n)^{5/2}} \, dx\)
 3.431 \(\int \sqrt{\frac{1+x}{x^5}} \, dx\)
 3.432 \(\int \sqrt{x+x^{5/2}} \, dx\)
 3.433 \(\int \frac{1}{\sqrt{x}+x^{3/2}} \, dx\)
 3.434 \(\int x \sqrt{x^2 (a+b x^3)} \, dx\)
 3.435 \(\int x \sqrt{a x^2+b x^5} \, dx\)
 3.436 \(\int \sqrt{x^4 (a+b x^3)} \, dx\)
 3.437 \(\int \frac{1}{\sqrt [3]{a \sqrt [3]{x}+b x^{2/3}}} \, dx\)
 3.438 \(\int \frac{1}{(a \sqrt [3]{x}+b x^{2/3})^{2/3}} \, dx\)
 3.439 \(\int x^m (a x^j+b x^n)^p \, dx\)
 3.440 \(\int x^{-1-p q} (b x^n+a x^q)^p \, dx\)
 3.441 \(\int x^{-1-n p} (b x^n+a x^q)^p \, dx\)
 3.442 \(\int x^{-1-n-(-1+p) q} (b x^n+a x^q)^p \, dx\)
 3.443 \(\int x^{-1-n (-1+p)-q} (b x^n+a x^q)^p \, dx\)
 3.444 \(\int (a x^m+b x^{1+m+m p})^p \, dx\)
 3.445 \(\int (x^m (a+b x^{1+m p}))^p \, dx\)
 3.446 \(\int x^n (x^m (a+b x^{1+n+m p}))^p \, dx\)
 3.447 \(\int x^n (a x^m+b x^{1+m+n+m p})^p \, dx\)
 3.448 \(\int \sqrt{x^{2 (-1+n)} (a+b x^n)} \, dx\)
 3.449 \(\int \sqrt [3]{x^{3 (-1+n)} (a+b x^n)} \, dx\)
 3.450 \(\int \sqrt [4]{x^{4 (-1+n)} (a+b x^n)} \, dx\)
 3.451 \(\int (x^{(-1+n) p} (a+b x^n))^{\frac{1}{p}} \, dx\)
 3.452 \(\int (x^{\frac{-1+n}{p}} (a+b x^n))^p \, dx\)
 3.453 \(\int x^{-1+n-p (1+q)} (a x^n+b x^p)^q \, dx\)
 3.454 \(\int x^{-1-n q-p (1+q)} (x^n (a+b x^p))^q \, dx\)