3.1 \(\int \frac{c+d x+e x^2}{\sqrt{a+b x}} \, dx\)
 3.2 \(\int \frac{(c+d x+e x^2)^2}{\sqrt{a+b x}} \, dx\)
 3.3 \(\int \frac{(c+d x+e x^2)^3}{\sqrt{a+b x}} \, dx\)
 3.4 \(\int \frac{c+d x+e x^2+f x^3}{\sqrt{a+b x}} \, dx\)
 3.5 \(\int \frac{(c+d x+e x^2+f x^3)^2}{\sqrt{a+b x}} \, dx\)
 3.6 \(\int \frac{(c+d x+e x^2+f x^3)^3}{\sqrt{a+b x}} \, dx\)
 3.7 \(\int \frac{c+d x}{a+b x^3} \, dx\)
 3.8 \(\int \frac{c+d x}{(a+b x^3)^2} \, dx\)
 3.9 \(\int \frac{c+d x}{(a+b x^3)^3} \, dx\)
 3.10 \(\int \frac{c+d x}{(a+b x^3)^4} \, dx\)
 3.11 \(\int \frac{a+b x}{d+e x^3} \, dx\)
 3.12 \(\int \frac{a+b x}{d-e x^3} \, dx\)
 3.13 \(\int \frac{1+x}{1+x^3} \, dx\)
 3.14 \(\int \frac{1-x}{1-x^3} \, dx\)
 3.15 \(\int \frac{1+x}{1-x^3} \, dx\)
 3.16 \(\int \frac{1-x}{1+x^3} \, dx\)
 3.17 \(\int \frac{3-x}{1-x^3} \, dx\)
 3.18 \(\int \frac{c+d x}{c^3+d^3 x^3} \, dx\)
 3.19 \(\int \frac{c-d x}{c^3-d^3 x^3} \, dx\)
 3.20 \(\int \frac{\sqrt [3]{a} \sqrt [3]{b} B+b^{2/3} B x}{a+b x^3} \, dx\)
 3.21 \(\int \frac{\sqrt [3]{a} \sqrt [3]{-b} B-(-b)^{2/3} B x}{a+b x^3} \, dx\)
 3.22 \(\int (-\frac{C x^2}{a+b x^3}+\frac{B x+C x^2}{a+b x^3}) \, dx\)
 3.23 \(\int (-\frac{C x^2}{a+b x^3}+\frac{A+C x^2}{a+b x^3}) \, dx\)
 3.24 \(\int (-\frac{C x^2}{a+b x^3}+\frac{A+B x+C x^2}{a+b x^3}) \, dx\)
 3.25 \(\int \frac{b x+c x^2}{d+e x^3} \, dx\)
 3.26 \(\int \frac{a+c x^2}{d-e x^3} \, dx\)
 3.27 \(\int \frac{2 a^2+b^2 x^2}{a^3+b^3 x^3} \, dx\)
 3.28 \(\int \frac{2 a^2+b^2 x^2}{a^3-b^3 x^3} \, dx\)
 3.29 \(\int \frac{8 C+b^{2/3} C x^2}{8+b x^3} \, dx\)
 3.30 \(\int \frac{a^{2/3} C+2 C x^2}{a+8 x^3} \, dx\)
 3.31 \(\int \frac{8 C+(-b)^{2/3} C x^2}{-8+b x^3} \, dx\)
 3.32 \(\int \frac{(-a)^{2/3} C+2 C x^2}{a-8 x^3} \, dx\)
 3.33 \(\int \frac{2 (\frac{a}{b})^{2/3} C+C x^2}{a+b x^3} \, dx\)
 3.34 \(\int \frac{2 (-\frac{a}{b})^{2/3} C+C x^2}{a-b x^3} \, dx\)
 3.35 \(\int \frac{2 (-\frac{a}{b})^{2/3} C+C x^2}{a+b x^3} \, dx\)
 3.36 \(\int \frac{2 (\frac{a}{b})^{2/3} C+C x^2}{a-b x^3} \, dx\)
 3.37 \(\int \frac{2 a^{2/3} C+b^{2/3} C x^2}{a+b x^3} \, dx\)
 3.38 \(\int \frac{-2 a^{2/3} C-(-b)^{2/3} C x^2}{a+b x^3} \, dx\)
 3.39 \(\int \frac{-3+x^2}{-1+x^3} \, dx\)
 3.40 \(\int \frac{\sqrt [3]{a} \sqrt [3]{b} B+2 a^{2/3} C+b^{2/3} B x+b^{2/3} C x^2}{a+b x^3} \, dx\)
 3.41 \(\int \frac{\sqrt [3]{a} \sqrt [3]{-b} B-2 a^{2/3} C-(-b)^{2/3} B x-(-b)^{2/3} C x^2}{a+b x^3} \, dx\)
 3.42 \(\int \frac{B^2+B C x+C^2 x^2}{-B^3+C^3 x^3} \, dx\)
 3.43 \(\int \frac{a^{2/3} C-\sqrt [3]{a} \sqrt [3]{b} C x+b^{2/3} C x^2}{a+b x^3} \, dx\)
 3.44 \(\int \frac{\sqrt [3]{\frac{a}{b}} B+2 (\frac{a}{b})^{2/3} C+B x+C x^2}{a+b x^3} \, dx\)
 3.45 \(\int \frac{\sqrt [3]{-\frac{a}{b}} B+2 (-\frac{a}{b})^{2/3} C+B x+C x^2}{a-b x^3} \, dx\)
 3.46 \(\int \frac{-\sqrt [3]{-\frac{a}{b}} B+2 (-\frac{a}{b})^{2/3} C+B x+C x^2}{a+b x^3} \, dx\)
 3.47 \(\int \frac{-\sqrt [3]{\frac{a}{b}} B+2 (\frac{a}{b})^{2/3} C+B x+C x^2}{a-b x^3} \, dx\)
 3.48 \(\int \frac{a+a x+c x^2}{1-x^3} \, dx\)
 3.49 \(\int \frac{a+b x+c x^2}{1-x^3} \, dx\)
 3.50 \(\int \frac{1+x+x^2}{1-x^3} \, dx\)
 3.51 \(\int \frac{1-x+3 x^2}{1-x^3} \, dx\)
 3.52 \(\int \frac{1+x+4 x^2}{1-x^3} \, dx\)
 3.53 \(\int (a+b x^3)^3 (a c+a d x+b c x^3+b d x^4) \, dx\)
 3.54 \(\int (a+b x^3)^2 (a c+a d x+b c x^3+b d x^4) \, dx\)
 3.55 \(\int (a+b x^3) (a c+a d x+b c x^3+b d x^4) \, dx\)
 3.56 \(\int \frac{a c+a d x+b c x^3+b d x^4}{a+b x^3} \, dx\)
 3.57 \(\int \frac{a c+a d x+b c x^3+b d x^4}{(a+b x^3)^2} \, dx\)
 3.58 \(\int \frac{a c+a d x+b c x^3+b d x^4}{(a+b x^3)^3} \, dx\)
 3.59 \(\int (a+b x^3)^{3/2} (a c+a d x+b c x^3+b d x^4) \, dx\)
 3.60 \(\int \sqrt{a+b x^3} (a c+a d x+b c x^3+b d x^4) \, dx\)
 3.61 \(\int \frac{a c+a d x+b c x^3+b d x^4}{\sqrt{a+b x^3}} \, dx\)
 3.62 \(\int \frac{a c+a d x+b c x^3+b d x^4}{(a+b x^3)^{3/2}} \, dx\)
 3.63 \(\int \frac{a c+a d x+b c x^3+b d x^4}{(a+b x^3)^{5/2}} \, dx\)
 3.64 \(\int \frac{a c+a d x+b c x^3+b d x^4}{(a+b x^3)^{7/2}} \, dx\)
 3.65 \(\int \frac{a c+a d x+b c x^3+b d x^4}{(a+b x^3)^{9/2}} \, dx\)
 3.66 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{\sqrt{a+b x^3}} \, dx\)
 3.67 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a+b x^3)^{3/2}} \, dx\)
 3.68 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a+b x^3)^{5/2}} \, dx\)
 3.69 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a+b x^3)^{7/2}} \, dx\)
 3.70 \(\int \frac{(a+b x)^2}{c+d x^3} \, dx\)
 3.71 \(\int \frac{(a+b x)^3}{c+d x^3} \, dx\)
 3.72 \(\int \frac{(a+b x)^4}{c+d x^3} \, dx\)
 3.73 \(\int \frac{(a+b x+c x^2)^2}{d+e x^3} \, dx\)
 3.74 \(\int \frac{(a+b x+c x^2)^3}{d+e x^3} \, dx\)
 3.75 \(\int \frac{(a+b x+c x^2)^4}{d+e x^3} \, dx\)
 3.76 \(\int \frac{2 x^2+x^4}{1+x^3} \, dx\)
 3.77 \(\int \frac{2 x^2+x^4}{1-x^3} \, dx\)
 3.78 \(\int \frac{1-x+4 x^3}{1+x^3} \, dx\)
 3.79 \(\int \frac{1+\sqrt{3}+x}{\sqrt{1+x^3}} \, dx\)
 3.80 \(\int \frac{1+\sqrt{3}-x}{\sqrt{1-x^3}} \, dx\)
 3.81 \(\int \frac{1+\sqrt{3}-x}{\sqrt{-1+x^3}} \, dx\)
 3.82 \(\int \frac{1+\sqrt{3}+x}{\sqrt{-1-x^3}} \, dx\)
 3.83 \(\int \frac{(1+\sqrt{3}) \sqrt [3]{a}+\sqrt [3]{b} x}{\sqrt{a+b x^3}} \, dx\)
 3.84 \(\int \frac{(1+\sqrt{3}) \sqrt [3]{a}-\sqrt [3]{b} x}{\sqrt{a-b x^3}} \, dx\)
 3.85 \(\int \frac{(1+\sqrt{3}) \sqrt [3]{a}-\sqrt [3]{b} x}{\sqrt{-a+b x^3}} \, dx\)
 3.86 \(\int \frac{(1+\sqrt{3}) \sqrt [3]{a}+\sqrt [3]{b} x}{\sqrt{-a-b x^3}} \, dx\)
 3.87 \(\int \frac{1+\sqrt{3}+\sqrt [3]{\frac{b}{a}} x}{\sqrt{a+b x^3}} \, dx\)
 3.88 \(\int \frac{1+\sqrt{3}-\sqrt [3]{\frac{b}{a}} x}{\sqrt{a-b x^3}} \, dx\)
 3.89 \(\int \frac{1+\sqrt{3}-\sqrt [3]{\frac{b}{a}} x}{\sqrt{-a+b x^3}} \, dx\)
 3.90 \(\int \frac{1+\sqrt{3}+\sqrt [3]{\frac{b}{a}} x}{\sqrt{-a-b x^3}} \, dx\)
 3.91 \(\int \frac{1-\sqrt{3}+x}{\sqrt{1+x^3}} \, dx\)
 3.92 \(\int \frac{1-\sqrt{3}-x}{\sqrt{1-x^3}} \, dx\)
 3.93 \(\int \frac{1-\sqrt{3}-x}{\sqrt{-1+x^3}} \, dx\)
 3.94 \(\int \frac{1-\sqrt{3}+x}{\sqrt{-1-x^3}} \, dx\)
 3.95 \(\int \frac{-1+\sqrt{3}-x}{\sqrt{1+x^3}} \, dx\)
 3.96 \(\int \frac{-1+\sqrt{3}+x}{\sqrt{1-x^3}} \, dx\)
 3.97 \(\int \frac{-1+\sqrt{3}+x}{\sqrt{-1+x^3}} \, dx\)
 3.98 \(\int \frac{-1+\sqrt{3}-x}{\sqrt{-1-x^3}} \, dx\)
 3.99 \(\int \frac{(1-\sqrt{3}) \sqrt [3]{a}+\sqrt [3]{b} x}{\sqrt{a+b x^3}} \, dx\)
 3.100 \(\int \frac{(1-\sqrt{3}) \sqrt [3]{a}-\sqrt [3]{b} x}{\sqrt{a-b x^3}} \, dx\)
 3.101 \(\int \frac{(1-\sqrt{3}) \sqrt [3]{a}-\sqrt [3]{b} x}{\sqrt{-a+b x^3}} \, dx\)
 3.102 \(\int \frac{(1-\sqrt{3}) \sqrt [3]{a}+\sqrt [3]{b} x}{\sqrt{-a-b x^3}} \, dx\)
 3.103 \(\int \frac{1-\sqrt{3}+\sqrt [3]{\frac{b}{a}} x}{\sqrt{a+b x^3}} \, dx\)
 3.104 \(\int \frac{1-\sqrt{3}-\sqrt [3]{\frac{b}{a}} x}{\sqrt{a-b x^3}} \, dx\)
 3.105 \(\int \frac{1-\sqrt{3}-\sqrt [3]{\frac{b}{a}} x}{\sqrt{-a+b x^3}} \, dx\)
 3.106 \(\int \frac{1-\sqrt{3}+\sqrt [3]{\frac{b}{a}} x}{\sqrt{-a-b x^3}} \, dx\)
 3.107 \(\int \frac{c+d x}{\sqrt{a+b x^3}} \, dx\)
 3.108 \(\int \frac{c+d x}{\sqrt{a-b x^3}} \, dx\)
 3.109 \(\int \frac{c+d x}{\sqrt{-a+b x^3}} \, dx\)
 3.110 \(\int \frac{c+d x}{\sqrt{-a-b x^3}} \, dx\)
 3.111 \(\int \frac{c+d x}{\sqrt{1+x^3}} \, dx\)
 3.112 \(\int \frac{c+d x}{\sqrt{1-x^3}} \, dx\)
 3.113 \(\int \frac{c+d x}{\sqrt{-1+x^3}} \, dx\)
 3.114 \(\int \frac{c+d x}{\sqrt{-1-x^3}} \, dx\)
 3.115 \(\int \frac{c+d x}{a-b x^4} \, dx\)
 3.116 \(\int \frac{c+d x}{a+b x^4} \, dx\)
 3.117 \(\int \frac{c+d x}{(a-b x^4)^2} \, dx\)
 3.118 \(\int \frac{c+d x}{(a+b x^4)^2} \, dx\)
 3.119 \(\int \frac{c+d x}{(a-b x^4)^3} \, dx\)
 3.120 \(\int \frac{c+d x}{(a+b x^4)^3} \, dx\)
 3.121 \(\int \frac{c+d x}{(a-b x^4)^4} \, dx\)
 3.122 \(\int \frac{c+d x}{(a+b x^4)^4} \, dx\)
 3.123 \(\int \frac{c+d x}{1-x^4} \, dx\)
 3.124 \(\int \frac{c+d x}{1+x^4} \, dx\)
 3.125 \(\int \frac{c+d x+e x^2}{a-b x^4} \, dx\)
 3.126 \(\int \frac{c+d x+e x^2}{a+b x^4} \, dx\)
 3.127 \(\int \frac{c+d x+e x^2}{(a-b x^4)^2} \, dx\)
 3.128 \(\int \frac{c+d x+e x^2}{(a+b x^4)^2} \, dx\)
 3.129 \(\int \frac{c+d x+e x^2}{(a-b x^4)^3} \, dx\)
 3.130 \(\int \frac{c+d x+e x^2}{(a+b x^4)^3} \, dx\)
 3.131 \(\int \frac{c+d x+e x^2}{(a-b x^4)^4} \, dx\)
 3.132 \(\int \frac{c+d x+e x^2}{(a+b x^4)^4} \, dx\)
 3.133 \(\int a (e+f x^4)^2 \, dx\)
 3.134 \(\int b x (e+f x^4)^2 \, dx\)
 3.135 \(\int (a+b x) (e+f x^4)^2 \, dx\)
 3.136 \(\int c x^2 (e+f x^4)^2 \, dx\)
 3.137 \(\int (a+c x^2) (e+f x^4)^2 \, dx\)
 3.138 \(\int (b x+c x^2) (e+f x^4)^2 \, dx\)
 3.139 \(\int (a+b x+c x^2) (e+f x^4)^2 \, dx\)
 3.140 \(\int d x^3 (e+f x^4)^2 \, dx\)
 3.141 \(\int (a+d x^3) (e+f x^4)^2 \, dx\)
 3.142 \(\int (b x+d x^3) (e+f x^4)^2 \, dx\)
 3.143 \(\int (a+b x+d x^3) (e+f x^4)^2 \, dx\)
 3.144 \(\int (c x^2+d x^3) (e+f x^4)^2 \, dx\)
 3.145 \(\int (a+c x^2+d x^3) (e+f x^4)^2 \, dx\)
 3.146 \(\int (b x+c x^2+d x^3) (e+f x^4)^2 \, dx\)
 3.147 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^2 \, dx\)
 3.148 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^3 \, dx\)
 3.149 \(\int \frac{c+d x+e x^2+f x^3}{(a-b x^4)^2} \, dx\)
 3.150 \(\int \frac{c+d x+e x^2+f x^3}{(a-b x^4)^3} \, dx\)
 3.151 \(\int \frac{c+d x+e x^2+f x^3}{(a-b x^4)^4} \, dx\)
 3.152 \(\int \frac{a}{2+3 x^4} \, dx\)
 3.153 \(\int \frac{b x}{2+3 x^4} \, dx\)
 3.154 \(\int \frac{a+b x}{2+3 x^4} \, dx\)
 3.155 \(\int \frac{c x^2}{2+3 x^4} \, dx\)
 3.156 \(\int \frac{a+c x^2}{2+3 x^4} \, dx\)
 3.157 \(\int \frac{b x+c x^2}{2+3 x^4} \, dx\)
 3.158 \(\int \frac{a+b x+c x^2}{2+3 x^4} \, dx\)
 3.159 \(\int \frac{d x^3}{2+3 x^4} \, dx\)
 3.160 \(\int \frac{a+d x^3}{2+3 x^4} \, dx\)
 3.161 \(\int \frac{b x+d x^3}{2+3 x^4} \, dx\)
 3.162 \(\int \frac{a+b x+d x^3}{2+3 x^4} \, dx\)
 3.163 \(\int \frac{c x^2+d x^3}{2+3 x^4} \, dx\)
 3.164 \(\int \frac{a+c x^2+d x^3}{2+3 x^4} \, dx\)
 3.165 \(\int \frac{b x+c x^2+d x^3}{2+3 x^4} \, dx\)
 3.166 \(\int \frac{a+b x+c x^2+d x^3}{2+3 x^4} \, dx\)
 3.167 \(\int \frac{1+x+x^2+x^3}{1-x^4} \, dx\)
 3.168 \(\int \frac{1+x+x^2+x^3}{1+x^4} \, dx\)
 3.169 \(\int \frac{1+x+x^2+x^3}{a-b x^4} \, dx\)
 3.170 \(\int \frac{1+x+x^2+x^3}{a+b x^4} \, dx\)
 3.171 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{a-b x^4} \, dx\)
 3.172 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a-b x^4)^2} \, dx\)
 3.173 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a-b x^4)^3} \, dx\)
 3.174 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a-b x^4)^4} \, dx\)
 3.175 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{a+b x^4} \, dx\)
 3.176 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a+b x^4)^2} \, dx\)
 3.177 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a+b x^4)^3} \, dx\)
 3.178 \(\int \frac{c+d x+e x^2+f x^3+g x^4}{(a+b x^4)^4} \, dx\)
 3.179 \(\int \frac{(1-x^4)^3}{(1+x+x^2+x^3)^3} \, dx\)
 3.180 \(\int \frac{(1-x^4)^2}{(1+x+x^2+x^3)^2} \, dx\)
 3.181 \(\int \frac{1-x^4}{1+x+x^2+x^3} \, dx\)
 3.182 \(\int \frac{1+x+x^2+x^3}{1-x^4} \, dx\)
 3.183 \(\int \frac{(1+x+x^2+x^3)^2}{(1-x^4)^2} \, dx\)
 3.184 \(\int \frac{(1+x+x^2+x^3)^3}{(1-x^4)^3} \, dx\)
 3.185 \(\int \frac{(1+x+x^2+x^3)^4}{(1-x^4)^4} \, dx\)
 3.186 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{a-b x^4} \, dx\)
 3.187 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{a-b x^4} \, dx\)
 3.188 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{a-b x^4} \, dx\)
 3.189 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{a+b x^4} \, dx\)
 3.190 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{a+b x^4} \, dx\)
 3.191 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{a+b x^4} \, dx\)
 3.192 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a-b x^4)^2} \, dx\)
 3.193 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{(a-b x^4)^2} \, dx\)
 3.194 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{(a-b x^4)^2} \, dx\)
 3.195 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a+b x^4)^2} \, dx\)
 3.196 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{(a+b x^4)^2} \, dx\)
 3.197 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{(a+b x^4)^2} \, dx\)
 3.198 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a-b x^4)^3} \, dx\)
 3.199 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{(a-b x^4)^3} \, dx\)
 3.200 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{(a-b x^4)^3} \, dx\)
 3.201 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a+b x^4)^3} \, dx\)
 3.202 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{(a+b x^4)^3} \, dx\)
 3.203 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{(a+b x^4)^3} \, dx\)
 3.204 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a-b x^4)^4} \, dx\)
 3.205 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{(a-b x^4)^4} \, dx\)
 3.206 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{(a-b x^4)^4} \, dx\)
 3.207 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a+b x^4)^4} \, dx\)
 3.208 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{(a+b x^4)^4} \, dx\)
 3.209 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6+j x^7}{(a+b x^4)^4} \, dx\)
 3.210 \(\int \frac{c+d x}{\sqrt{a+b x^4}} \, dx\)
 3.211 \(\int \frac{c+d x}{\sqrt{a-b x^4}} \, dx\)
 3.212 \(\int \frac{c+d x}{\sqrt{-a+b x^4}} \, dx\)
 3.213 \(\int \frac{c+d x}{\sqrt{-a-b x^4}} \, dx\)
 3.214 \(\int \frac{c+d x+e x^2}{\sqrt{a+b x^4}} \, dx\)
 3.215 \(\int \frac{a g-b g x^4}{(a+b x^4)^{3/2}} \, dx\)
 3.216 \(\int \frac{a g+e x-b g x^4}{(a+b x^4)^{3/2}} \, dx\)
 3.217 \(\int \frac{a g+f x^3-b g x^4}{(a+b x^4)^{3/2}} \, dx\)
 3.218 \(\int \frac{a g+e x+f x^3-b g x^4}{(a+b x^4)^{3/2}} \, dx\)
 3.219 \(\int \frac{-1+x^4}{(1+x^4)^{3/2}} \, dx\)
 3.220 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5+i x^6}{\sqrt{a+b x^4}} \, dx\)
 3.221 \(\int \frac{1+x}{1+x^5} \, dx\)
 3.222 \(\int \frac{1-x}{1-x^5} \, dx\)
 3.223 \(\int \frac{x^{11} (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.224 \(\int \frac{x^8 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.225 \(\int \frac{x^5 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.226 \(\int \frac{x^2 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.227 \(\int \frac{c+d x^3+e x^6+f x^9}{x (a+b x^3)} \, dx\)
 3.228 \(\int \frac{c+d x^3+e x^6+f x^9}{x^4 (a+b x^3)} \, dx\)
 3.229 \(\int \frac{c+d x^3+e x^6+f x^9}{x^7 (a+b x^3)} \, dx\)
 3.230 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{10} (a+b x^3)} \, dx\)
 3.231 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{13} (a+b x^3)} \, dx\)
 3.232 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{16} (a+b x^3)} \, dx\)
 3.233 \(\int \frac{x^9 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.234 \(\int \frac{x^7 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.235 \(\int \frac{x^6 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.236 \(\int \frac{x^4 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.237 \(\int \frac{x^3 (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.238 \(\int \frac{x (c+d x^3+e x^6+f x^9)}{a+b x^3} \, dx\)
 3.239 \(\int \frac{c+d x^3+e x^6+f x^9}{a+b x^3} \, dx\)
 3.240 \(\int \frac{c+d x^3+e x^6+f x^9}{x^2 (a+b x^3)} \, dx\)
 3.241 \(\int \frac{c+d x^3+e x^6+f x^9}{x^3 (a+b x^3)} \, dx\)
 3.242 \(\int \frac{c+d x^3+e x^6+f x^9}{x^5 (a+b x^3)} \, dx\)
 3.243 \(\int \frac{c+d x^3+e x^6+f x^9}{x^6 (a+b x^3)} \, dx\)
 3.244 \(\int \frac{c+d x^3+e x^6+f x^9}{x^8 (a+b x^3)} \, dx\)
 3.245 \(\int \frac{c+d x^3+e x^6+f x^9}{x^9 (a+b x^3)} \, dx\)
 3.246 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{11} (a+b x^3)} \, dx\)
 3.247 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{12} (a+b x^3)} \, dx\)
 3.248 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{14} (a+b x^3)} \, dx\)
 3.249 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{15} (a+b x^3)} \, dx\)
 3.250 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{17} (a+b x^3)} \, dx\)
 3.251 \(\int \frac{x^{11} (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.252 \(\int \frac{x^8 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.253 \(\int \frac{x^5 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.254 \(\int \frac{x^2 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.255 \(\int \frac{c+d x^3+e x^6+f x^9}{x (a+b x^3)^2} \, dx\)
 3.256 \(\int \frac{c+d x^3+e x^6+f x^9}{x^4 (a+b x^3)^2} \, dx\)
 3.257 \(\int \frac{c+d x^3+e x^6+f x^9}{x^7 (a+b x^3)^2} \, dx\)
 3.258 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{10} (a+b x^3)^2} \, dx\)
 3.259 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{13} (a+b x^3)^2} \, dx\)
 3.260 \(\int \frac{x^9 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.261 \(\int \frac{x^7 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.262 \(\int \frac{x^6 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.263 \(\int \frac{x^4 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.264 \(\int \frac{x^3 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.265 \(\int \frac{x (c+d x^3+e x^6+f x^9)}{(a+b x^3)^2} \, dx\)
 3.266 \(\int \frac{c+d x^3+e x^6+f x^9}{(a+b x^3)^2} \, dx\)
 3.267 \(\int \frac{c+d x^3+e x^6+f x^9}{x^2 (a+b x^3)^2} \, dx\)
 3.268 \(\int \frac{c+d x^3+e x^6+f x^9}{x^3 (a+b x^3)^2} \, dx\)
 3.269 \(\int \frac{c+d x^3+e x^6+f x^9}{x^5 (a+b x^3)^2} \, dx\)
 3.270 \(\int \frac{c+d x^3+e x^6+f x^9}{x^6 (a+b x^3)^2} \, dx\)
 3.271 \(\int \frac{c+d x^3+e x^6+f x^9}{x^8 (a+b x^3)^2} \, dx\)
 3.272 \(\int \frac{c+d x^3+e x^6+f x^9}{x^9 (a+b x^3)^2} \, dx\)
 3.273 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{11} (a+b x^3)^2} \, dx\)
 3.274 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{12} (a+b x^3)^2} \, dx\)
 3.275 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{14} (a+b x^3)^2} \, dx\)
 3.276 \(\int \frac{x^{14} (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.277 \(\int \frac{x^{11} (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.278 \(\int \frac{x^8 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.279 \(\int \frac{x^5 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.280 \(\int \frac{x^2 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.281 \(\int \frac{c+d x^3+e x^6+f x^9}{x (a+b x^3)^3} \, dx\)
 3.282 \(\int \frac{c+d x^3+e x^6+f x^9}{x^4 (a+b x^3)^3} \, dx\)
 3.283 \(\int \frac{c+d x^3+e x^6+f x^9}{x^7 (a+b x^3)^3} \, dx\)
 3.284 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{10} (a+b x^3)^3} \, dx\)
 3.285 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{13} (a+b x^3)^3} \, dx\)
 3.286 \(\int \frac{x^{12} (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.287 \(\int \frac{x^{10} (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.288 \(\int \frac{x^9 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.289 \(\int \frac{x^7 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.290 \(\int \frac{x^6 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.291 \(\int \frac{x^4 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.292 \(\int \frac{x^3 (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.293 \(\int \frac{x (c+d x^3+e x^6+f x^9)}{(a+b x^3)^3} \, dx\)
 3.294 \(\int \frac{c+d x^3+e x^6+f x^9}{(a+b x^3)^3} \, dx\)
 3.295 \(\int \frac{c+d x^3+e x^6+f x^9}{x^2 (a+b x^3)^3} \, dx\)
 3.296 \(\int \frac{c+d x^3+e x^6+f x^9}{x^3 (a+b x^3)^3} \, dx\)
 3.297 \(\int \frac{c+d x^3+e x^6+f x^9}{x^5 (a+b x^3)^3} \, dx\)
 3.298 \(\int \frac{c+d x^3+e x^6+f x^9}{x^6 (a+b x^3)^3} \, dx\)
 3.299 \(\int \frac{c+d x^3+e x^6+f x^9}{x^8 (a+b x^3)^3} \, dx\)
 3.300 \(\int \frac{c+d x^3+e x^6+f x^9}{x^9 (a+b x^3)^3} \, dx\)
 3.301 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{11} (a+b x^3)^3} \, dx\)
 3.302 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{12} (a+b x^3)^3} \, dx\)
 3.303 \(\int \frac{c+d x^3+e x^6+f x^9}{x^{14} (a+b x^3)^3} \, dx\)
 3.304 \(\int \frac{(1-x) x^4}{1+x^3} \, dx\)
 3.305 \(\int \frac{(1-x) x^3}{1+x^3} \, dx\)
 3.306 \(\int \frac{(1-x) x^2}{1+x^3} \, dx\)
 3.307 \(\int \frac{(1-x) x}{1+x^3} \, dx\)
 3.308 \(\int \frac{1-x}{x (1+x^3)} \, dx\)
 3.309 \(\int \frac{1-x}{x^2 (1+x^3)} \, dx\)
 3.310 \(\int \frac{1-x}{x^3 (1+x^3)} \, dx\)
 3.311 \(\int \frac{x (1+2 x)}{1+x^3} \, dx\)
 3.312 \(\int \frac{x (1+2 x)}{1-x^3} \, dx\)
 3.313 \(\int x^2 (c+d x+e x^2) (a+b x^3) \, dx\)
 3.314 \(\int x (c+d x+e x^2) (a+b x^3) \, dx\)
 3.315 \(\int (c+d x+e x^2) (a+b x^3) \, dx\)
 3.316 \(\int \frac{(c+d x+e x^2) (a+b x^3)}{x} \, dx\)
 3.317 \(\int \frac{(c+d x+e x^2) (a+b x^3)}{x^2} \, dx\)
 3.318 \(\int \frac{(c+d x+e x^2) (a+b x^3)}{x^3} \, dx\)
 3.319 \(\int x^2 (c+d x+e x^2) (a+b x^3)^2 \, dx\)
 3.320 \(\int x (c+d x+e x^2) (a+b x^3)^2 \, dx\)
 3.321 \(\int (c+d x+e x^2) (a+b x^3)^2 \, dx\)
 3.322 \(\int \frac{(c+d x+e x^2) (a+b x^3)^2}{x} \, dx\)
 3.323 \(\int \frac{(c+d x+e x^2) (a+b x^3)^2}{x^2} \, dx\)
 3.324 \(\int \frac{(c+d x+e x^2) (a+b x^3)^2}{x^3} \, dx\)
 3.325 \(\int x^2 (c+d x+e x^2) (a+b x^3)^3 \, dx\)
 3.326 \(\int x (c+d x+e x^2) (a+b x^3)^3 \, dx\)
 3.327 \(\int (c+d x+e x^2) (a+b x^3)^3 \, dx\)
 3.328 \(\int \frac{(c+d x+e x^2) (a+b x^3)^3}{x} \, dx\)
 3.329 \(\int \frac{(c+d x+e x^2) (a+b x^3)^3}{x^2} \, dx\)
 3.330 \(\int \frac{(c+d x+e x^2) (a+b x^3)^3}{x^3} \, dx\)
 3.331 \(\int x^2 (c+d x+e x^2) (a+b x^3)^4 \, dx\)
 3.332 \(\int x (c+d x+e x^2) (a+b x^3)^4 \, dx\)
 3.333 \(\int (c+d x+e x^2) (a+b x^3)^4 \, dx\)
 3.334 \(\int \frac{(c+d x+e x^2) (a+b x^3)^4}{x} \, dx\)
 3.335 \(\int \frac{(c+d x+e x^2) (a+b x^3)^4}{x^2} \, dx\)
 3.336 \(\int \frac{(c+d x+e x^2) (a+b x^3)^4}{x^3} \, dx\)
 3.337 \(\int \frac{x^3 (c+d x+e x^2)}{a+b x^3} \, dx\)
 3.338 \(\int \frac{x^2 (c+d x+e x^2)}{a+b x^3} \, dx\)
 3.339 \(\int \frac{x (c+d x+e x^2)}{a+b x^3} \, dx\)
 3.340 \(\int \frac{c+d x+e x^2}{a+b x^3} \, dx\)
 3.341 \(\int \frac{c+d x+e x^2}{x (a+b x^3)} \, dx\)
 3.342 \(\int \frac{c+d x+e x^2}{x^2 (a+b x^3)} \, dx\)
 3.343 \(\int \frac{c+d x+e x^2}{x^3 (a+b x^3)} \, dx\)
 3.344 \(\int \frac{x^2 (c+d x+e x^2)}{(a+b x^3)^2} \, dx\)
 3.345 \(\int \frac{x (c+d x+e x^2)}{(a+b x^3)^2} \, dx\)
 3.346 \(\int \frac{c+d x+e x^2}{(a+b x^3)^2} \, dx\)
 3.347 \(\int \frac{c+d x+e x^2}{x (a+b x^3)^2} \, dx\)
 3.348 \(\int \frac{c+d x+e x^2}{x^2 (a+b x^3)^2} \, dx\)
 3.349 \(\int \frac{c+d x+e x^2}{x^3 (a+b x^3)^2} \, dx\)
 3.350 \(\int \frac{c+d x+e x^2}{x^4 (a+b x^3)^2} \, dx\)
 3.351 \(\int \frac{x^2 (c+d x+e x^2)}{(a+b x^3)^3} \, dx\)
 3.352 \(\int \frac{x (c+d x+e x^2)}{(a+b x^3)^3} \, dx\)
 3.353 \(\int \frac{c+d x+e x^2}{(a+b x^3)^3} \, dx\)
 3.354 \(\int \frac{c+d x+e x^2}{x (a+b x^3)^3} \, dx\)
 3.355 \(\int \frac{c+d x+e x^2}{x^2 (a+b x^3)^3} \, dx\)
 3.356 \(\int \frac{c+d x+e x^2}{x^3 (a+b x^3)^3} \, dx\)
 3.357 \(\int \frac{c+d x+e x^2}{x^4 (a+b x^3)^3} \, dx\)
 3.358 \(\int \frac{x^2 (c+d x+e x^2)}{(a+b x^3)^4} \, dx\)
 3.359 \(\int \frac{x (c+d x+e x^2)}{(a+b x^3)^4} \, dx\)
 3.360 \(\int \frac{c+d x+e x^2}{(a+b x^3)^4} \, dx\)
 3.361 \(\int \frac{c+d x+e x^2}{x (a+b x^3)^4} \, dx\)
 3.362 \(\int \frac{c+d x+e x^2}{x^2 (a+b x^3)^4} \, dx\)
 3.363 \(\int \frac{c+d x+e x^2}{x^3 (a+b x^3)^4} \, dx\)
 3.364 \(\int \frac{c+d x+e x^2}{x^4 (a+b x^3)^4} \, dx\)
 3.365 \(\int \frac{2 a x-x^2}{a^3+x^3} \, dx\)
 3.366 \(\int \frac{(2 a-x) x}{a^3+x^3} \, dx\)
 3.367 \(\int \frac{2 a x+x^2}{a^3-x^3} \, dx\)
 3.368 \(\int \frac{x (2 a+x)}{a^3-x^3} \, dx\)
 3.369 \(\int \frac{x (-2 \sqrt [3]{\frac{a}{b}} C+C x)}{a+b x^3} \, dx\)
 3.370 \(\int \frac{x (-2 \sqrt [3]{-\frac{a}{b}} C+C x)}{a-b x^3} \, dx\)
 3.371 \(\int \frac{x (2 \sqrt [3]{-\frac{a}{b}} C+C x)}{a+b x^3} \, dx\)
 3.372 \(\int \frac{x (2 \sqrt [3]{\frac{a}{b}} C+C x)}{a-b x^3} \, dx\)
 3.373 \(\int x^4 (a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.374 \(\int x^3 (a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.375 \(\int x^2 (a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.376 \(\int x (a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.377 \(\int (a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.378 \(\int \frac{(a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5)}{x} \, dx\)
 3.379 \(\int \frac{(a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^2} \, dx\)
 3.380 \(\int \frac{(a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^3} \, dx\)
 3.381 \(\int \frac{(a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^4} \, dx\)
 3.382 \(\int \frac{(a+b x^3) (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^5} \, dx\)
 3.383 \(\int x^4 (a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.384 \(\int x^3 (a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.385 \(\int x^2 (a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.386 \(\int x (a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.387 \(\int (a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.388 \(\int \frac{(a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x} \, dx\)
 3.389 \(\int \frac{(a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^2} \, dx\)
 3.390 \(\int \frac{(a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^3} \, dx\)
 3.391 \(\int \frac{(a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^4} \, dx\)
 3.392 \(\int \frac{(a+b x^3)^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^5} \, dx\)
 3.393 \(\int x^4 (a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.394 \(\int x^3 (a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.395 \(\int x^2 (a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.396 \(\int x (a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.397 \(\int (a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5) \, dx\)
 3.398 \(\int \frac{(a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x} \, dx\)
 3.399 \(\int \frac{(a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^2} \, dx\)
 3.400 \(\int \frac{(a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^3} \, dx\)
 3.401 \(\int \frac{(a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^4} \, dx\)
 3.402 \(\int \frac{(a+b x^3)^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{x^5} \, dx\)
 3.403 \(\int \frac{x^4 (c+d x+e x^2+f x^3+g x^4+h x^5)}{a+b x^3} \, dx\)
 3.404 \(\int \frac{x^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{a+b x^3} \, dx\)
 3.405 \(\int \frac{x^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{a+b x^3} \, dx\)
 3.406 \(\int \frac{x (c+d x+e x^2+f x^3+g x^4+h x^5)}{a+b x^3} \, dx\)
 3.407 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{a+b x^3} \, dx\)
 3.408 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x (a+b x^3)} \, dx\)
 3.409 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^2 (a+b x^3)} \, dx\)
 3.410 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^3 (a+b x^3)} \, dx\)
 3.411 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^4 (a+b x^3)} \, dx\)
 3.412 \(\int \frac{x^4 (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^2} \, dx\)
 3.413 \(\int \frac{x^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^2} \, dx\)
 3.414 \(\int \frac{x^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^2} \, dx\)
 3.415 \(\int \frac{x (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^2} \, dx\)
 3.416 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a+b x^3)^2} \, dx\)
 3.417 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x (a+b x^3)^2} \, dx\)
 3.418 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^2 (a+b x^3)^2} \, dx\)
 3.419 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^3 (a+b x^3)^2} \, dx\)
 3.420 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^4 (a+b x^3)^2} \, dx\)
 3.421 \(\int \frac{x^4 (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^3} \, dx\)
 3.422 \(\int \frac{x^3 (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^3} \, dx\)
 3.423 \(\int \frac{x^2 (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^3} \, dx\)
 3.424 \(\int \frac{x (c+d x+e x^2+f x^3+g x^4+h x^5)}{(a+b x^3)^3} \, dx\)
 3.425 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{(a+b x^3)^3} \, dx\)
 3.426 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x (a+b x^3)^3} \, dx\)
 3.427 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^2 (a+b x^3)^3} \, dx\)
 3.428 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^3 (a+b x^3)^3} \, dx\)
 3.429 \(\int \frac{c+d x+e x^2+f x^3+g x^4+h x^5}{x^4 (a+b x^3)^3} \, dx\)
 3.430 \(\int \frac{x^3 (c+d x+e x^2)}{\sqrt{a+b x^3}} \, dx\)
 3.431 \(\int \frac{x^2 (c+d x+e x^2)}{\sqrt{a+b x^3}} \, dx\)
 3.432 \(\int \frac{x (c+d x+e x^2)}{\sqrt{a+b x^3}} \, dx\)
 3.433 \(\int \frac{c+d x+e x^2}{\sqrt{a+b x^3}} \, dx\)
 3.434 \(\int \frac{c+d x+e x^2}{x \sqrt{a+b x^3}} \, dx\)
 3.435 \(\int \frac{c+d x+e x^2}{x^2 \sqrt{a+b x^3}} \, dx\)
 3.436 \(\int \frac{c+d x+e x^2}{x^3 \sqrt{a+b x^3}} \, dx\)
 3.437 \(\int \frac{x^5 (c+d x+e x^2)}{(a+b x^3)^{3/2}} \, dx\)
 3.438 \(\int \frac{x^4 (c+d x+e x^2)}{(a+b x^3)^{3/2}} \, dx\)
 3.439 \(\int \frac{x^3 (c+d x+e x^2)}{(a+b x^3)^{3/2}} \, dx\)
 3.440 \(\int \frac{x^2 (c+d x+e x^2)}{(a+b x^3)^{3/2}} \, dx\)
 3.441 \(\int \frac{x (c+d x+e x^2)}{(a+b x^3)^{3/2}} \, dx\)
 3.442 \(\int \frac{c+d x+e x^2}{(a+b x^3)^{3/2}} \, dx\)
 3.443 \(\int \frac{c+d x+e x^2}{x (a+b x^3)^{3/2}} \, dx\)
 3.444 \(\int \frac{c+d x+e x^2}{x^2 (a+b x^3)^{3/2}} \, dx\)
 3.445 \(\int x^3 \sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.446 \(\int x^2 \sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.447 \(\int x \sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.448 \(\int \sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.449 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x} \, dx\)
 3.450 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^2} \, dx\)
 3.451 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^3} \, dx\)
 3.452 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^4} \, dx\)
 3.453 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^5} \, dx\)
 3.454 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^6} \, dx\)
 3.455 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^7} \, dx\)
 3.456 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^8} \, dx\)
 3.457 \(\int \frac{\sqrt{a+b x^3} (c+d x+e x^2+f x^3+g x^4)}{x^9} \, dx\)
 3.458 \(\int x^3 (a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.459 \(\int x^2 (a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.460 \(\int x (a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.461 \(\int (a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4) \, dx\)
 3.462 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x} \, dx\)
 3.463 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^2} \, dx\)
 3.464 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^3} \, dx\)
 3.465 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^4} \, dx\)
 3.466 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^5} \, dx\)
 3.467 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^6} \, dx\)
 3.468 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^7} \, dx\)
 3.469 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^8} \, dx\)
 3.470 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^9} \, dx\)
 3.471 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^{10}} \, dx\)
 3.472 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^{11}} \, dx\)
 3.473 \(\int \frac{(a+b x^3)^{3/2} (c+d x+e x^2+f x^3+g x^4)}{x^{12}} \, dx\)
 3.474 \(\int (c+d x+e x^2) (a+b x^3)^p \, dx\)
 3.475 \(\int x (c+d x+e x^2) (a+b x^3)^p \, dx\)
 3.476 \(\int x^2 (c+d x+e x^2) (a+b x^3)^p \, dx\)
 3.477 \(\int (c+d x+e x^2+f x^3) (a+b x^4) \, dx\)
 3.478 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4) \, dx\)
 3.479 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^2 \, dx\)
 3.480 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^2 \, dx\)
 3.481 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^3 \, dx\)
 3.482 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^3 \, dx\)
 3.483 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^4 \, dx\)
 3.484 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^4 \, dx\)
 3.485 \(\int \frac{c+d x+e x^2+f x^3}{a-b x^4} \, dx\)
 3.486 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{a-b x^4} \, dx\)
 3.487 \(\int \frac{c+d x+e x^2+f x^3}{a+b x^4} \, dx\)
 3.488 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{a+b x^4} \, dx\)
 3.489 \(\int \frac{c+d x+e x^2+f x^3}{(a+b x^4)^2} \, dx\)
 3.490 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{(a+b x^4)^2} \, dx\)
 3.491 \(\int \frac{c+d x+e x^2+f x^3}{(a+b x^4)^3} \, dx\)
 3.492 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{(a+b x^4)^3} \, dx\)
 3.493 \(\int \frac{c+d x+e x^2+f x^3}{(a+b x^4)^4} \, dx\)
 3.494 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{(a+b x^4)^4} \, dx\)
 3.495 \(\int x^4 (c+d x+e x^2+f x^3) \sqrt{a+b x^4} \, dx\)
 3.496 \(\int x^3 (c+d x+e x^2+f x^3) \sqrt{a+b x^4} \, dx\)
 3.497 \(\int x^2 (c+d x+e x^2+f x^3) \sqrt{a+b x^4} \, dx\)
 3.498 \(\int x (c+d x+e x^2+f x^3) \sqrt{a+b x^4} \, dx\)
 3.499 \(\int (c+d x+e x^2+f x^3) \sqrt{a+b x^4} \, dx\)
 3.500 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x} \, dx\)
 3.501 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^2} \, dx\)
 3.502 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^3} \, dx\)
 3.503 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^4} \, dx\)
 3.504 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^5} \, dx\)
 3.505 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^6} \, dx\)
 3.506 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^7} \, dx\)
 3.507 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^8} \, dx\)
 3.508 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^9} \, dx\)
 3.509 \(\int \frac{(c+d x+e x^2+f x^3) \sqrt{a+b x^4}}{x^{10}} \, dx\)
 3.510 \(\int x^4 (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\)
 3.511 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\)
 3.512 \(\int x^2 (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\)
 3.513 \(\int x (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\)
 3.514 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^{3/2} \, dx\)
 3.515 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x} \, dx\)
 3.516 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^2} \, dx\)
 3.517 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^3} \, dx\)
 3.518 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^4} \, dx\)
 3.519 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^5} \, dx\)
 3.520 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^6} \, dx\)
 3.521 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^7} \, dx\)
 3.522 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^8} \, dx\)
 3.523 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^9} \, dx\)
 3.524 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{10}} \, dx\)
 3.525 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{11}} \, dx\)
 3.526 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{12}} \, dx\)
 3.527 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{13}} \, dx\)
 3.528 \(\int \frac{(c+d x+e x^2+f x^3) (a+b x^4)^{3/2}}{x^{14}} \, dx\)
 3.529 \(\int \frac{x^4 (c+d x+e x^2+f x^3)}{\sqrt{a+b x^4}} \, dx\)
 3.530 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{\sqrt{a+b x^4}} \, dx\)
 3.531 \(\int \frac{x^2 (c+d x+e x^2+f x^3)}{\sqrt{a+b x^4}} \, dx\)
 3.532 \(\int \frac{x (c+d x+e x^2+f x^3)}{\sqrt{a+b x^4}} \, dx\)
 3.533 \(\int \frac{c+d x+e x^2+f x^3}{\sqrt{a+b x^4}} \, dx\)
 3.534 \(\int \frac{c+d x+e x^2+f x^3}{x \sqrt{a+b x^4}} \, dx\)
 3.535 \(\int \frac{c+d x+e x^2+f x^3}{x^2 \sqrt{a+b x^4}} \, dx\)
 3.536 \(\int \frac{c+d x+e x^2+f x^3}{x^3 \sqrt{a+b x^4}} \, dx\)
 3.537 \(\int \frac{c+d x+e x^2+f x^3}{x^4 \sqrt{a+b x^4}} \, dx\)
 3.538 \(\int \frac{c+d x+e x^2+f x^3}{x^5 \sqrt{a+b x^4}} \, dx\)
 3.539 \(\int \frac{c+d x+e x^2+f x^3}{x^6 \sqrt{a+b x^4}} \, dx\)
 3.540 \(\int \frac{x^6 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\)
 3.541 \(\int \frac{x^5 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\)
 3.542 \(\int \frac{x^4 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\)
 3.543 \(\int \frac{x^3 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\)
 3.544 \(\int \frac{x^2 (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\)
 3.545 \(\int \frac{x (c+d x+e x^2+f x^3)}{(a+b x^4)^{3/2}} \, dx\)
 3.546 \(\int \frac{c+d x+e x^2+f x^3}{(a+b x^4)^{3/2}} \, dx\)
 3.547 \(\int \frac{c+d x+e x^2+f x^3}{x (a+b x^4)^{3/2}} \, dx\)
 3.548 \(\int \frac{c+d x+e x^2+f x^3}{x^2 (a+b x^4)^{3/2}} \, dx\)
 3.549 \(\int \frac{c+d x+e x^2+f x^3}{x^3 (a+b x^4)^{3/2}} \, dx\)
 3.550 \(\int \frac{c+d x+e x^2+f x^3}{x^4 (a+b x^4)^{3/2}} \, dx\)
 3.551 \(\int (g x)^m (c+d x+e x^2+f x^3) (a+b x^4)^p \, dx\)
 3.552 \(\int (c+d x+e x^2+f x^3) (a+b x^4)^p \, dx\)
 3.553 \(\int x^3 (c+d x+e x^2+f x^3) (a+b x^4)^p \, dx\)
 3.554 \(\int \frac{1+x+x^2+x^3+x^4}{1-x^5} \, dx\)
 3.555 \(\int \frac{243-162 x+108 x^2-72 x^3+48 x^4-32 x^5}{729-64 x^6} \, dx\)
 3.556 \(\int \frac{243+162 x+108 x^2+72 x^3+48 x^4+32 x^5}{729-64 x^6} \, dx\)
 3.557 \(\int \frac{81+36 x^2+16 x^4}{729-64 x^6} \, dx\)
 3.558 \(\int \frac{81+54 x-24 x^3-16 x^4}{729-64 x^6} \, dx\)
 3.559 \(\int \frac{3-2 x}{729-64 x^6} \, dx\)
 3.560 \(\int \frac{3+2 x}{729-64 x^6} \, dx\)
 3.561 \(\int \frac{9-6 x+4 x^2}{729-64 x^6} \, dx\)
 3.562 \(\int \frac{9+6 x+4 x^2}{729-64 x^6} \, dx\)
 3.563 \(\int \frac{27-8 x^3}{729-64 x^6} \, dx\)
 3.564 \(\int \frac{27+36 x+24 x^2+8 x^3}{729-64 x^6} \, dx\)
 3.565 \(\int \frac{243-162 x+108 x^2-72 x^3+48 x^4-32 x^5}{(729-64 x^6)^2} \, dx\)
 3.566 \(\int \frac{243+162 x+108 x^2+72 x^3+48 x^4+32 x^5}{(729-64 x^6)^2} \, dx\)
 3.567 \(\int \frac{81+36 x^2+16 x^4}{(729-64 x^6)^2} \, dx\)
 3.568 \(\int \frac{81+54 x-24 x^3-16 x^4}{(729-64 x^6)^2} \, dx\)
 3.569 \(\int \frac{3-2 x}{(729-64 x^6)^2} \, dx\)
 3.570 \(\int \frac{3+2 x}{(729-64 x^6)^2} \, dx\)
 3.571 \(\int \frac{9-6 x+4 x^2}{(729-64 x^6)^2} \, dx\)
 3.572 \(\int \frac{9+6 x+4 x^2}{(729-64 x^6)^2} \, dx\)
 3.573 \(\int \frac{27-8 x^3}{(729-64 x^6)^2} \, dx\)
 3.574 \(\int \frac{27+36 x+24 x^2+8 x^3}{(729-64 x^6)^2} \, dx\)
 3.575 \(\int \frac{x (27-2 x^3)}{729-64 x^6} \, dx\)
 3.576 \(\int \frac{(c x)^m (d+e x^n+f x^{2 n}+g x^{3 n})}{a+b x^n} \, dx\)
 3.577 \(\int (c+d x^{-1+n}) (a+b x^n)^3 \, dx\)
 3.578 \(\int (c+d x^{-1+n}) (a+b x^n)^2 \, dx\)
 3.579 \(\int (c+d x^{-1+n}) (a+b x^n) \, dx\)
 3.580 \(\int (c+d x^{-1+n}) \, dx\)
 3.581 \(\int \frac{c+d x^{-1+n}}{a+b x^n} \, dx\)
 3.582 \(\int \frac{c+d x^{-1+n}}{(a+b x^n)^2} \, dx\)
 3.583 \(\int \frac{c+d x^{-1+n}}{(a+b x^n)^3} \, dx\)
 3.584 \(\int \frac{(c x)^m (d+e x^n+f x^{2 n}+g x^{3 n})}{\sqrt{a+b x^n}} \, dx\)
 3.585 \(\int \frac{-a h x^{-1+\frac{n}{4}}+b f x^{-1+\frac{n}{2}}+b g x^{-1+n}+b h x^{-1+\frac{5 n}{4}}}{(a+b x^n)^{3/2}} \, dx\)
 3.586 \(\int (c x)^m (d+e x+f x^2+g x^3) (a+b x^n)^p \, dx\)
 3.587 \(\int (c x)^m (a+b x^n)^p (d+e x^n+f x^{2 n}+g x^{3 n}) \, dx\)
 3.588 \(\int \frac{c+d x^{n/2}+e x^n+f x^{3 n/2}}{(a+b x^n)^2} \, dx\)
 3.589 \(\int \frac{a c+2 (b c+a d) x^2+3 b d x^4}{\sqrt{a+b x^2} \sqrt{c+d x^2}} \, dx\)
 3.590 \(\int \frac{1+x^3}{(1-x^4) \sqrt [4]{1+x^4}} \, dx\)
 3.591 \(\int (a+b x^n)^{\frac{-1-n}{n}} (c+d x^n)^{\frac{-1-n}{n}} (a c-b d x^{2 n}) \, dx\)
 3.592 \(\int (h x)^{-1-n-n p} (a+b x^n)^p (c+d x^n)^p (a c-b d x^{2 n}) \, dx\)
 3.593 \(\int (a+b x^n)^p (c+d x^n)^p (e+\frac{(b c+a d) e (1+n+n p) x^n}{a c}+\frac{b d e (1+2 n+2 n p) x^{2 n}}{a c}) \, dx\)
 3.594 \(\int (h x)^m (a+b x^n)^p (c+d x^n)^p (e+\frac{(b c+a d) e (1+m+n+n p) x^n}{a c (1+m)}+\frac{b d e (1+m+2 n+2 n p) x^{2 n}}{a c (1+m)}) \, dx\)