3.1 \(\int \frac{1}{2 \sqrt{3} b^{3/2}-9 b x+9 x^3} \, dx\)
 3.2 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^p \, dx\)
 3.3 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^3 \, dx\)
 3.4 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^2 \, dx\)
 3.5 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3) \, dx\)
 3.6 \(\int \frac{1}{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} \, dx\)
 3.7 \(\int \frac{1}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^2} \, dx\)
 3.8 \(\int \frac{1}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^3} \, dx\)
 3.9 \(\int (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^3 \, dx\)
 3.10 \(\int (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^2 \, dx\)
 3.11 \(\int (3 a b+3 b^2 x+3 b c x^2+c^2 x^3) \, dx\)
 3.12 \(\int \frac{1}{3 a b+3 b^2 x+3 b c x^2+c^2 x^3} \, dx\)
 3.13 \(\int \frac{1}{(3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^2} \, dx\)
 3.14 \(\int \frac{1}{(3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^3} \, dx\)
 3.15 \(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^3 \, dx\)
 3.16 \(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^2 \, dx\)
 3.17 \(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3) \, dx\)
 3.18 \(\int \frac{1}{a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3} \, dx\)
 3.19 \(\int \frac{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^2} \, dx\)
 3.20 \(\int \frac{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^3} \, dx\)
 3.21 \(\int \frac{1}{1+x+x^2+x^3} \, dx\)
 3.22 \(\int \frac{1}{-1+4 x-4 x^2+16 x^3} \, dx\)
 3.23 \(\int \frac{1}{d x^3} \, dx\)
 3.24 \(\int \frac{1}{c x^2+d x^3} \, dx\)
 3.25 \(\int \frac{1}{b x+d x^3} \, dx\)
 3.26 \(\int \frac{1}{b x+c x^2+d x^3} \, dx\)
 3.27 \(\int \frac{1}{a+d x^3} \, dx\)
 3.28 \(\int (d x^3)^n \, dx\)
 3.29 \(\int (c x^2+d x^3)^n \, dx\)
 3.30 \(\int (b x+d x^3)^n \, dx\)
 3.31 \(\int (b x+c x^2+d x^3)^n \, dx\)
 3.32 \(\int (a+d x^3)^n \, dx\)
 3.33 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^4 \, dx\)
 3.34 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^3 \, dx\)
 3.35 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^2 \, dx\)
 3.36 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4) \, dx\)
 3.37 \(\int \frac{1}{4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4} \, dx\)
 3.38 \(\int \frac{1}{(4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^2} \, dx\)
 3.39 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^4 \, dx\)
 3.40 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^3 \, dx\)
 3.41 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^2 \, dx\)
 3.42 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4) \, dx\)
 3.43 \(\int \frac{1}{8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4} \, dx\)
 3.44 \(\int \frac{1}{(8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^2} \, dx\)
 3.45 \(\int (8+8 x-x^3+8 x^4)^4 \, dx\)
 3.46 \(\int (8+8 x-x^3+8 x^4)^3 \, dx\)
 3.47 \(\int (8+8 x-x^3+8 x^4)^2 \, dx\)
 3.48 \(\int (8+8 x-x^3+8 x^4) \, dx\)
 3.49 \(\int \frac{1}{8+8 x-x^3+8 x^4} \, dx\)
 3.50 \(\int \frac{1}{(8+8 x-x^3+8 x^4)^2} \, dx\)
 3.51 \(\int (1+4 x+4 x^2+4 x^4)^4 \, dx\)
 3.52 \(\int (1+4 x+4 x^2+4 x^4)^3 \, dx\)
 3.53 \(\int (1+4 x+4 x^2+4 x^4)^2 \, dx\)
 3.54 \(\int (1+4 x+4 x^2+4 x^4) \, dx\)
 3.55 \(\int \frac{1}{1+4 x+4 x^2+4 x^4} \, dx\)
 3.56 \(\int \frac{1}{(1+4 x+4 x^2+4 x^4)^2} \, dx\)
 3.57 \(\int (8+24 x+8 x^2-15 x^3+8 x^4)^4 \, dx\)
 3.58 \(\int (8+24 x+8 x^2-15 x^3+8 x^4)^3 \, dx\)
 3.59 \(\int (8+24 x+8 x^2-15 x^3+8 x^4)^2 \, dx\)
 3.60 \(\int (8+24 x+8 x^2-15 x^3+8 x^4) \, dx\)
 3.61 \(\int \frac{1}{8+24 x+8 x^2-15 x^3+8 x^4} \, dx\)
 3.62 \(\int \frac{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^2} \, dx\)
 3.63 \(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^3 \, dx\)
 3.64 \(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^2 \, dx\)
 3.65 \(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5) \, dx\)
 3.66 \(\int \frac{1}{a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5} \, dx\)
 3.67 \(\int \frac{1}{(a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^2} \, dx\)
 3.68 \(\int \frac{1}{(a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^3} \, dx\)
 3.69 \(\int \frac{1}{1+x^2+x^3+x^5} \, dx\)
 3.70 \(\int (3-19 x^2+32 x^4-16 x^6)^4 \, dx\)
 3.71 \(\int (3-19 x^2+32 x^4-16 x^6)^3 \, dx\)
 3.72 \(\int (3-19 x^2+32 x^4-16 x^6)^2 \, dx\)
 3.73 \(\int (3-19 x^2+32 x^4-16 x^6) \, dx\)
 3.74 \(\int \frac{1}{3-19 x^2+32 x^4-16 x^6} \, dx\)
 3.75 \(\int \frac{1}{(3-19 x^2+32 x^4-16 x^6)^2} \, dx\)
 3.76 \(\int \frac{1}{(3-19 x^2+32 x^4-16 x^6)^3} \, dx\)
 3.77 \(\int \frac{1}{(-1+7 x^2-7 x^4+x^6)^2} \, dx\)
 3.78 \(\int \frac{x^3}{c+(a+b x)^2} \, dx\)
 3.79 \(\int \frac{x^2}{c+(a+b x)^2} \, dx\)
 3.80 \(\int \frac{x}{c+(a+b x)^2} \, dx\)
 3.81 \(\int \frac{1}{c+(a+b x)^2} \, dx\)
 3.82 \(\int \frac{1}{x (c+(a+b x)^2)} \, dx\)
 3.83 \(\int \frac{1}{x^2 (c+(a+b x)^2)} \, dx\)
 3.84 \(\int \frac{1}{x^3 (c+(a+b x)^2)} \, dx\)
 3.85 \(\int \frac{1}{a+b (c+d x)^2} \, dx\)
 3.86 \(\int \frac{1}{(a+b (c+d x)^2)^2} \, dx\)
 3.87 \(\int \frac{1}{(a+b (c+d x)^2)^3} \, dx\)
 3.88 \(\int \frac{1}{\sqrt{-a}+b (c+d x)^2} \, dx\)
 3.89 \(\int \frac{1}{1+(c+d x)^2} \, dx\)
 3.90 \(\int \frac{1}{(1+(c+d x)^2)^2} \, dx\)
 3.91 \(\int \frac{1}{(1+(c+d x)^2)^3} \, dx\)
 3.92 \(\int \frac{1}{1-(c+d x)^2} \, dx\)
 3.93 \(\int \frac{1}{(1-(c+d x)^2)^2} \, dx\)
 3.94 \(\int \frac{1}{(1-(c+d x)^2)^3} \, dx\)
 3.95 \(\int \frac{1}{1-(1+x)^2} \, dx\)
 3.96 \(\int \frac{1}{(1-(1+x)^2)^2} \, dx\)
 3.97 \(\int \frac{1}{(1-(1+x)^2)^3} \, dx\)
 3.98 \(\int \frac{(1+(a+b x)^2)^2}{x} \, dx\)
 3.99 \(\int \frac{x^2}{1+(-1+x)^2} \, dx\)
 3.100 \(\int \frac{x^2}{\sqrt{1-(1+x)^2}} \, dx\)
 3.101 \(\int \frac{x^2}{\sqrt{1-(a+b x)^2}} \, dx\)
 3.102 \(\int \frac{x^2}{\sqrt{1+(a+b x)^2}} \, dx\)
 3.103 \(\int \frac{x^3}{a+b (c+d x)^3} \, dx\)
 3.104 \(\int \frac{x^2}{a+b (c+d x)^3} \, dx\)
 3.105 \(\int \frac{x}{a+b (c+d x)^3} \, dx\)
 3.106 \(\int \frac{1}{a+b (c+d x)^3} \, dx\)
 3.107 \(\int \frac{1}{x (a+b (c+d x)^3)} \, dx\)
 3.108 \(\int \frac{1}{x^2 (a+b (c+d x)^3)} \, dx\)
 3.109 \(\int \frac{1}{x^3 (a+b (c+d x)^3)} \, dx\)
 3.110 \(\int \frac{x^3}{a+b (c+d x)^4} \, dx\)
 3.111 \(\int \frac{x^2}{a+b (c+d x)^4} \, dx\)
 3.112 \(\int \frac{x}{a+b (c+d x)^4} \, dx\)
 3.113 \(\int \frac{1}{a+b (c+d x)^4} \, dx\)
 3.114 \(\int \frac{1}{x (a+b (c+d x)^4)} \, dx\)
 3.115 \(\int \frac{1}{x^2 (a+b (c+d x)^4)} \, dx\)
 3.116 \(\int (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\)
 3.117 \(\int (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\)
 3.118 \(\int (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\)
 3.119 \(\int (a+8 x-8 x^2+4 x^3-x^4) \, dx\)
 3.120 \(\int \frac{1}{a+8 x-8 x^2+4 x^3-x^4} \, dx\)
 3.121 \(\int \frac{1}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\)
 3.122 \(\int \frac{1}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\)
 3.123 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\)
 3.124 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\)
 3.125 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\)
 3.126 \(\int x (a+8 x-8 x^2+4 x^3-x^4) \, dx\)
 3.127 \(\int \frac{x}{a+8 x-8 x^2+4 x^3-x^4} \, dx\)
 3.128 \(\int \frac{x}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\)
 3.129 \(\int \frac{x}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\)
 3.130 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\)
 3.131 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\)
 3.132 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\)
 3.133 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4) \, dx\)
 3.134 \(\int \frac{x^2}{a+8 x-8 x^2+4 x^3-x^4} \, dx\)
 3.135 \(\int \frac{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\)
 3.136 \(\int \frac{x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
 3.137 \(\int \frac{x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
 3.138 \(\int \frac{x^2}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
 3.139 \(\int \frac{x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
 3.140 \(\int \frac{1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\)
 3.141 \(\int \frac{1}{x (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\)
 3.142 \(\int \frac{1}{x^2 (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\)
 3.143 \(\int \frac{x^5}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
 3.144 \(\int \frac{x^4}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
 3.145 \(\int \frac{x^3}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
 3.146 \(\int \frac{x^2}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
 3.147 \(\int \frac{x}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
 3.148 \(\int \frac{1}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\)
 3.149 \(\int \frac{1}{x (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\)
 3.150 \(\int \frac{1}{x^2 (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\)
 3.151 \(\int \frac{x^8}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.152 \(\int \frac{x^7}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.153 \(\int \frac{x^6}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.154 \(\int \frac{x^5}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.155 \(\int \frac{x^4}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.156 \(\int \frac{x^3}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.157 \(\int \frac{x^2}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\)
 3.158 \(\int \frac{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{c+d x} \, dx\)
 3.159 \(\int \frac{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(c+d x)^2} \, dx\)
 3.160 \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\)
 3.161 \(\int x^{14} (b+2 c x^2) (b x+c x^3)^{13} \, dx\)
 3.162 \(\int x^{28} (b+2 c x^3) (b x+c x^4)^{13} \, dx\)
 3.163 \(\int x^{14 (-1+n)} (b+2 c x^n) (b x+c x^{1+n})^{13} \, dx\)
 3.164 \(\int \frac{b+2 c x}{b x+c x^2} \, dx\)
 3.165 \(\int \frac{b+2 c x^2}{b x+c x^3} \, dx\)
 3.166 \(\int \frac{b+2 c x^3}{b x+c x^4} \, dx\)
 3.167 \(\int \frac{b+2 c x^n}{b x+c x^{1+n}} \, dx\)
 3.168 \(\int \frac{b+2 c x}{(b x+c x^2)^8} \, dx\)
 3.169 \(\int \frac{b+2 c x^2}{x^7 (b x+c x^3)^8} \, dx\)
 3.170 \(\int \frac{b+2 c x^3}{x^{14} (b x+c x^4)^8} \, dx\)
 3.171 \(\int \frac{x^{-7 (-1+n)} (b+2 c x^n)}{(b x+c x^{1+n})^8} \, dx\)
 3.172 \(\int (b+2 c x) (b x+c x^2)^p \, dx\)
 3.173 \(\int x^{1+p} (b+2 c x^2) (b x+c x^3)^p \, dx\)
 3.174 \(\int (b x^{1+p} (b x+c x^3)^p+2 c x^{3+p} (b x+c x^3)^p) \, dx\)
 3.175 \(\int x^{2 (1+p)} (b+2 c x^3) (b x+c x^4)^p \, dx\)
 3.176 \(\int x^{(-1+n) (1+p)} (b+2 c x^n) (b x+c x^{1+n})^p \, dx\)
 3.177 \(\int \frac{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{a+b x^2} \, dx\)
 3.178 \(\int \frac{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^2} \, dx\)
 3.179 \(\int \frac{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^3} \, dx\)
 3.180 \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^n \, dx\)
 3.181 \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^n \, dx\)
 3.182 \(\int x^n (b+c x+d x^2)^n (b+2 c x+3 d x^2) \, dx\)
 3.183 \(\int (b+3 d x^2) (a+b x+d x^3)^n \, dx\)
 3.184 \(\int (b+3 d x^2) (b x+d x^3)^n \, dx\)
 3.185 \(\int x^n (b+d x^2)^n (b+3 d x^2) \, dx\)
 3.186 \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^n \, dx\)
 3.187 \(\int (2 c x+3 d x^2) (c x^2+d x^3)^n \, dx\)
 3.188 \(\int x^n (c x+d x^2)^n (2 c x+3 d x^2) \, dx\)
 3.189 \(\int x^{2 n} (c+d x)^n (2 c x+3 d x^2) \, dx\)
 3.190 \(\int x (2 c+3 d x) (a+c x^2+d x^3)^n \, dx\)
 3.191 \(\int x (2 c+3 d x) (c x^2+d x^3)^n \, dx\)
 3.192 \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^7 \, dx\)
 3.193 \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^7 \, dx\)
 3.194 \(\int x^7 (b+c x+d x^2)^7 (b+2 c x+3 d x^2) \, dx\)
 3.195 \(\int (b+3 d x^2) (a+b x+d x^3)^7 \, dx\)
 3.196 \(\int (b+3 d x^2) (b x+d x^3)^7 \, dx\)
 3.197 \(\int x^7 (b+d x^2)^7 (b+3 d x^2) \, dx\)
 3.198 \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^7 \, dx\)
 3.199 \(\int (2 c x+3 d x^2) (c x^2+d x^3)^7 \, dx\)
 3.200 \(\int x^7 (c x+d x^2)^7 (2 c x+3 d x^2) \, dx\)
 3.201 \(\int x^{14} (c+d x)^7 (2 c x+3 d x^2) \, dx\)
 3.202 \(\int x (2 c+3 d x) (a+c x^2+d x^3)^7 \, dx\)
 3.203 \(\int x (2 c+3 d x) (c x^2+d x^3)^7 \, dx\)
 3.204 \(\int x^8 (2 c+3 d x) (c x+d x^2)^7 \, dx\)
 3.205 \(\int x^{15} (c+d x)^7 (2 c+3 d x) \, dx\)
 3.206 \(\int (a+b x) (1+(a x+\frac{b x^2}{2})^4) \, dx\)
 3.207 \(\int (a+b x) (1+(c+a x+\frac{b x^2}{2})^4) \, dx\)
 3.208 \(\int (a+b x) (1+(a x+\frac{b x^2}{2})^n) \, dx\)
 3.209 \(\int (a+b x) (1+(c+a x+\frac{b x^2}{2})^n) \, dx\)
 3.210 \(\int (a+c x^2) (1+(a x+\frac{c x^3}{3})^5) \, dx\)
 3.211 \(\int (a+c x^2) (1+(d+a x+\frac{c x^3}{3})^5) \, dx\)
 3.212 \(\int (b x+c x^2) (1+(\frac{b x^2}{2}+\frac{c x^3}{3})^5) \, dx\)
 3.213 \(\int (b x+c x^2) (1+(d+\frac{b x^2}{2}+\frac{c x^3}{3})^5) \, dx\)
 3.214 \(\int (a+b x+c x^2) (1+(a x+\frac{b x^2}{2}+\frac{c x^3}{3})^5) \, dx\)
 3.215 \(\int (a+b x+c x^2) (1+(d+a x+\frac{b x^2}{2}+\frac{c x^3}{3})^5) \, dx\)
 3.216 \(\int (a+c x^2) (1+(a x+\frac{c x^3}{3})^n) \, dx\)
 3.217 \(\int (b x+c x^2) (1+(\frac{b x^2}{2}+\frac{c x^3}{3})^n) \, dx\)
 3.218 \(\int (a+b x+c x^2) (1+(a x+\frac{b x^2}{2}+\frac{c x^3}{3})^n) \, dx\)
 3.219 \(\int (-4+4 x+x^2) (5-12 x+6 x^2+x^3) \, dx\)
 3.220 \(\int (2 x+x^3) (1+4 x^2+x^4) \, dx\)
 3.221 \(\int (1+2 x) (x+x^2)^3 (-18+7 (x+x^2)^3)^2 \, dx\)
 3.222 \(\int x^3 (1+x)^3 (1+2 x) (-18+7 x^3 (1+x)^3)^2 \, dx\)
 3.223 \(\int \frac{2-x^2}{(1-6 x+x^3)^5} \, dx\)
 3.224 \(\int \frac{2 x+x^2}{4+3 x^2+x^3} \, dx\)
 3.225 \(\int \frac{1+x+x^3}{4 x+2 x^2+x^4} \, dx\)
 3.226 \(\int \frac{b c-a d-2 a e x-b e x^2-3 a f x^2-2 b f x^3}{(c+d x+e x^2+f x^3)^2} \, dx\)
 3.227 \(\int \frac{A+B x+C x^2+D x^3}{a+b x+c x^2+b x^3+a x^4} \, dx\)
 3.228 \(\int \frac{2+x-4 x^2+2 x^3}{1-x+x^2-x^3+x^4} \, dx\)
 3.229 \(\int \frac{3 x+3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\)
 3.230 \(\int \frac{-1+3 x-3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\)
 3.231 \(\int \frac{9-40 x-18 x^2+174 x^4+24 x^5+26 x^6-39 x^8}{(3+2 x^2+x^4)^3} \, dx\)
 3.232 \(\int \frac{-1+4 x^5}{(1+x+x^5)^2} \, dx\)
 3.233 \(\int \frac{1+x^2}{(1-7 x^2+7 x^4-x^6)^2} \, dx\)
 3.234 \(\int x^m (a+b x+c x^2+d x^3)^p (a (1+m)+x (b (2+m+p)+x (c (3+m+2 p)+d (4+m+3 p) x))) \, dx\)
 3.235 \(\int x^2 (a+b x+c x^2+d x^3)^p (3 a+b (4+p) x+c (5+2 p) x^2+d (6+3 p) x^3) \, dx\)
 3.236 \(\int x (a+b x+c x^2+d x^3)^p (2 a+b (3+p) x+c (4+2 p) x^2+d (5+3 p) x^3) \, dx\)
 3.237 \(\int (a+b x+c x^2+d x^3)^p (a+b (2+p) x+c (3+2 p) x^2+d (4+3 p) x^3) \, dx\)
 3.238 \(\int \frac{(a+b x+c x^2+d x^3)^p (b (1+p) x+c (2+2 p) x^2+d (3+3 p) x^3)}{x} \, dx\)
 3.239 \(\int \frac{(a+b x+c x^2+d x^3)^p (-a+b p x+c (1+2 p) x^2+d (2+3 p) x^3)}{x^2} \, dx\)
 3.240 \(\int \frac{(a+b x+c x^2+d x^3)^p (-2 a+b (-1+p) x+2 c p x^2+d (1+3 p) x^3)}{x^3} \, dx\)
 3.241 \(\int \frac{(a+b x+c x^2+d x^3)^p (-3 a+b (-2+p) x+c (-1+2 p) x^2+3 d p x^3)}{x^4} \, dx\)
 3.242 \(\int \frac{x^4 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
 3.243 \(\int \frac{x^3 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
 3.244 \(\int \frac{x^2 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
 3.245 \(\int \frac{x (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\)
 3.246 \(\int \frac{5+x+3 x^2+2 x^3}{2+x+3 x^2+x^3+2 x^4} \, dx\)
 3.247 \(\int \frac{5+x+3 x^2+2 x^3}{x (2+x+3 x^2+x^3+2 x^4)} \, dx\)
 3.248 \(\int \frac{5+x+3 x^2+2 x^3}{x^2 (2+x+3 x^2+x^3+2 x^4)} \, dx\)
 3.249 \(\int \frac{5+x+3 x^2+2 x^3}{x^3 (2+x+3 x^2+x^3+2 x^4)} \, dx\)
 3.250 \(\int \frac{x^3 (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\)
 3.251 \(\int \frac{x^2 (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\)
 3.252 \(\int \frac{x (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\)
 3.253 \(\int \frac{5+x+3 x^2+2 x^3}{2+x+5 x^2+x^3+2 x^4} \, dx\)
 3.254 \(\int \frac{5+x+3 x^2+2 x^3}{x (2+x+5 x^2+x^3+2 x^4)} \, dx\)
 3.255 \(\int \frac{5+x+3 x^2+2 x^3}{x^2 (2+x+5 x^2+x^3+2 x^4)} \, dx\)
 3.256 \(\int \frac{5+x+3 x^2+2 x^3}{x^3 (2+x+5 x^2+x^3+2 x^4)} \, dx\)
 3.257 \(\int \frac{x^2 (3 a+b x^2)}{a^2+2 a b x^2+b^2 x^4+c^2 x^6} \, dx\)
 3.258 \(\int \frac{1-3 x^4}{(-2+x) (1+x^2)^2} \, dx\)
 3.259 \(\int \frac{-9-9 x+2 x^2}{-9 x+x^3} \, dx\)
 3.260 \(\int \frac{1+2 x^2+x^5}{-x+x^3} \, dx\)
 3.261 \(\int \frac{3+2 x^2}{(-1+x)^2 x} \, dx\)
 3.262 \(\int \frac{-1+2 x^2}{(-1+4 x) (1+x^2)} \, dx\)
 3.263 \(\int \frac{-3+2 x-3 x^2+x^3}{1+x^2} \, dx\)
 3.264 \(\int \frac{x+10 x^2+6 x^3+x^4}{10+6 x+x^2} \, dx\)
 3.265 \(\int \frac{1}{-18+27 x-7 x^2-3 x^3+x^4} \, dx\)
 3.266 \(\int \frac{1+x^3}{-2+x} \, dx\)
 3.267 \(\int \frac{3 x-4 x^2+3 x^3}{1+x^2} \, dx\)
 3.268 \(\int \frac{5+3 x}{1-x-x^2+x^3} \, dx\)
 3.269 \(\int \frac{-1-x-x^3+x^4}{-x^2+x^3} \, dx\)
 3.270 \(\int \frac{2+x+x^2+x^3}{2+3 x^2+x^4} \, dx\)
 3.271 \(\int \frac{-4+8 x-4 x^2+4 x^3-x^4+x^5}{(2+x^2)^3} \, dx\)
 3.272 \(\int \frac{-1-3 x+x^2}{-2 x+x^2+x^3} \, dx\)
 3.273 \(\int \frac{3-x+3 x^2-2 x^3+x^4}{3 x-2 x^2+x^3} \, dx\)
 3.274 \(\int \frac{-1+x+x^3}{(1+x^2)^2} \, dx\)
 3.275 \(\int \frac{1+2 x-x^2+8 x^3+x^4}{(x+x^2) (1+x^3)} \, dx\)
 3.276 \(\int \frac{15-5 x+x^2+x^3}{(5+x^2) (3+2 x+x^2)} \, dx\)
 3.277 \(\int \frac{-3+25 x+23 x^2+32 x^3+15 x^4+7 x^5+x^6}{(1+x^2)^2 (2+x+x^2)^2} \, dx\)
 3.278 \(\int \frac{1}{(1+x^2) (4+x^2)} \, dx\)
 3.279 \(\int \frac{a+b x^3}{1+x^2} \, dx\)
 3.280 \(\int \frac{x+x^2}{(4+x) (-4+x^2)} \, dx\)
 3.281 \(\int \frac{4+x^2}{(1+x^2) (2+x^2)} \, dx\)
 3.282 \(\int \frac{5-4 x+3 x^2+x^4}{(-1+x)^2 (1+x^2)} \, dx\)
 3.283 \(\int \frac{1+x^4}{2+x^2} \, dx\)
 3.284 \(\int \frac{2+2 x+x^4}{x^4+x^5} \, dx\)
 3.285 \(\int \frac{-1-5 x+2 x^2}{2-x-2 x^2+x^3} \, dx\)
 3.286 \(\int \frac{2+x+x^3}{1+2 x^2+x^4} \, dx\)
 3.287 \(\int \frac{1+2 x+x^2+x^3}{1+2 x^2+x^4} \, dx\)
 3.288 \(\int \frac{3+4 x}{(1+x^2) (2+x^2)} \, dx\)
 3.289 \(\int \frac{2+x}{(1+x^2) (4+x^2)} \, dx\)
 3.290 \(\int \frac{2-x+x^3}{-7-6 x+x^2} \, dx\)
 3.291 \(\int \frac{-1+x^5}{-1+x^2} \, dx\)
 3.292 \(\int \frac{5+2 x-x^2+x^3}{1+x+x^2} \, dx\)
 3.293 \(\int \frac{-3+x-2 x^3+x^4}{10-8 x+2 x^2} \, dx\)
 3.294 \(\int \frac{1+2 x+3 x^2+x^3}{(-3+x) (-2+x) (-1+x)} \, dx\)
 3.295 \(\int \frac{2-7 x+x^2-x^3+x^4}{-24-14 x+x^2+x^3} \, dx\)
 3.296 \(\int \frac{2+x^2}{(-1+x)^2 x (1+x)} \, dx\)
 3.297 \(\int \frac{3+x^2+x^3}{(2+x^2)^2} \, dx\)
 3.298 \(\int \frac{-35+70 x-4 x^2+2 x^3}{(26-10 x+x^2) (17-2 x+x^2)} \, dx\)
 3.299 \(\int \frac{2+x^2}{(-5+x) (-3+x) (4+x)} \, dx\)
 3.300 \(\int \frac{x^4}{(-1+x) (2+x^2)} \, dx\)
 3.301 \(\int \frac{-1+7 x+2 x^2}{-1-x+x^2+x^3} \, dx\)
 3.302 \(\int \frac{1+2 x}{-1+3 x-3 x^2+x^3} \, dx\)
 3.303 \(\int \frac{5-5 x+7 x^2+x^3}{(-1+x)^2 (1+x)^3} \, dx\)
 3.304 \(\int \frac{1+3 x+3 x^2}{1+2 x+2 x^2+x^3} \, dx\)
 3.305 \(\int \frac{-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx\)
 3.306 \(\int \frac{1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx\)
 3.307 \(\int \frac{4-x+2 x^2}{4 x+x^3} \, dx\)
 3.308 \(\int \frac{1+x^2+x^3}{(-1+x) x (1+x^2)^3 (1+x+x^2)} \, dx\)
 3.309 \(\int \frac{1-3 x+2 x^2-x^3}{(1+x^2)^2} \, dx\)
 3.310 \(\int \frac{1-3 x+2 x^2-x^3}{x (1+x^2)^2} \, dx\)
 3.311 \(\int \frac{1-x-x^2+x^3+x^4}{-x+x^3} \, dx\)
 3.312 \(\int \frac{2-4 x^2+x^3}{(1+x^2) (2+x^2)} \, dx\)
 3.313 \(\int \frac{1+x^2+x^4}{(1+x^2) (4+x^2)^2} \, dx\)
 3.314 \(\int \frac{1+x^2+x^3}{2 x^2+x^3+x^4} \, dx\)
 3.315 \(\int \frac{1-12 x+x^2+x^3}{-12+x+x^2} \, dx\)
 3.316 \(\int \frac{-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx\)
 3.317 \(\int \frac{-2+3 x+5 x^2}{2 x^2+x^3} \, dx\)
 3.318 \(\int \frac{18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx\)
 3.319 \(\int \frac{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx\)
 3.320 \(\int \frac{-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx\)
 3.321 \(\int \frac{8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx\)
 3.322 \(\int \frac{9+x^4}{x^2 (9+x^2)} \, dx\)
 3.323 \(\int \frac{2 x+x^4}{1+x^2} \, dx\)
 3.324 \(\int \frac{-x+x^3}{(-1+x)^2 (1+x^2)} \, dx\)
 3.325 \(\int \frac{2+5 x+3 x^2+2 x^3}{1+x+x^2} \, dx\)
 3.326 \(\int \frac{3-4 x-5 x^2+3 x^3}{x^3 (-1+x+x^2)} \, dx\)
 3.327 \(\int \frac{4+8 x+5 x^2+2 x^3}{(2+2 x+x^2)^2} \, dx\)
 3.328 \(\int \frac{(-1+x)^4 x^4}{1+x^2} \, dx\)
 3.329 \(\int \frac{-20 x+4 x^2}{9-10 x^2+x^4} \, dx\)
 3.330 \(\int \frac{-1+x+4 x^3}{(-1+x) x^2 (1+x^2)} \, dx\)
 3.331 \(\int \frac{1-3 x+2 x^2-4 x^3+x^4}{(1+x^2)^3} \, dx\)
 3.332 \(\int \frac{1-3 x+2 x^2-4 x^3+x^4}{1+3 x^2+3 x^4+x^6} \, dx\)
 3.333 \(\int \frac{1+x+2 x^2+2 x^3}{x^2+x^3+x^4} \, dx\)
 3.334 \(\int \frac{x^2 (c+d x)^2}{a+b x^3} \, dx\)
 3.335 \(\int \frac{-x+2 x^3+4 x^5}{(3+2 x^2+x^4)^2} \, dx\)
 3.336 \(\int \frac{x+x^5}{(1+2 x^2+2 x^4)^3} \, dx\)
 3.337 \(\int \frac{a+b x+c x^2}{d+e x^2+f x^4} \, dx\)
 3.338 \(\int \frac{(d+e x)^2}{a+b x^2+c x^4} \, dx\)
 3.339 \(\int \frac{x^2}{(a+b x) (c+d x)} \, dx\)
 3.340 \(\int \frac{x^2}{(c+d x) (a+b x^2)} \, dx\)
 3.341 \(\int \frac{x^2}{(c+d x) (a+b x^3)} \, dx\)
 3.342 \(\int \frac{x^2}{(c+d x) (a+b x^4)} \, dx\)
 3.343 \(\int \frac{x}{(1-x) (1+x)^2} \, dx\)
 3.344 \(\int \frac{x^2}{(1-x^2) (1+x^2)^2} \, dx\)
 3.345 \(\int \frac{x^3}{(1-x^3) (1+x^3)^2} \, dx\)
 3.346 \(\int \frac{9+x+3 x^2+x^3}{(1+x^2) (3+x^2)} \, dx\)
 3.347 \(\int \frac{3+x+x^2+x^3}{(1+x^2) (3+x^2)} \, dx\)
 3.348 \(\int \frac{-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\)
 3.349 \(\int \frac{1}{(4-4 x+x^2) (5-4 x+x^2)} \, dx\)
 3.350 \(\int \frac{-3+x+x^2}{(-3+x) x^2} \, dx\)
 3.351 \(\int \frac{1+x+4 x^2}{x+4 x^3} \, dx\)
 3.352 \(\int \frac{1-x+3 x^2}{-x^2+x^3} \, dx\)
 3.353 \(\int \frac{4+3 x+x^2}{x+x^2} \, dx\)
 3.354 \(\int \frac{4+x+3 x^2}{x+x^3} \, dx\)
 3.355 \(\int \frac{7-4 x+8 x^2}{(1+4 x) (1+x^2)} \, dx\)
 3.356 \(\int \frac{x^2}{(-1+x) (1+2 x+x^2)} \, dx\)
 3.357 \(\int \frac{-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx\)
 3.358 \(\int \frac{5-4 x+3 x^2}{(-1+x) (1+x^2)} \, dx\)
 3.359 \(\int \frac{-1-2 x+x^2}{(-1+x)^2 (1+x^2)} \, dx\)
 3.360 \(\int \frac{5+x^3}{(10-6 x+x^2) (\frac{1}{2}-x+x^2)} \, dx\)
 3.361 \(\int \frac{4+3 x+x^2}{(-3+x) (-2+x) (-1+x)} \, dx\)
 3.362 \(\int \frac{1+16 x}{(5+x)^2 (-3+2 x) (1+x+x^2)} \, dx\)
 3.363 \(\int \frac{-1+x^3}{1+x+x^2} \, dx\)
 3.364 \(\int \frac{-3+x^3}{-7-6 x+x^2} \, dx\)
 3.365 \(\int \frac{1+x^3}{(13+4 x+x^2)^2} \, dx\)
 3.366 \(\int \frac{-32+36 x-42 x^2+21 x^3-10 x^4+3 x^5}{x (1+x^2) (4+x^2)^2} \, dx\)
 3.367 \(\int \frac{-1+x^4+7 x^5+x^9}{-7+6 x^4+x^8} \, dx\)
 3.368 \(\int \frac{1+x^3+x^6}{x+x^5} \, dx\)
 3.369 \(\int \frac{1+x^2}{-x+x^2} \, dx\)
 3.370 \(\int \frac{1+x^3}{-x+x^3} \, dx\)
 3.371 \(\int \frac{1+x^3}{-x^2+x^3} \, dx\)
 3.372 \(\int \frac{-1+x^5}{-x+x^3} \, dx\)
 3.373 \(\int \frac{1+x^4}{x^3+x^5} \, dx\)
 3.374 \(\int \frac{1+x^2}{x+2 x^2+x^3} \, dx\)
 3.375 \(\int \frac{1+x^5}{-10 x-3 x^2+x^3} \, dx\)
 3.376 \(\int \frac{15-5 x+x^2+x^3}{(5+x^2) (3+2 x+x^2)} \, dx\)
 3.377 \(\int \frac{1}{(1+x^2) (3+\frac{10 x}{1+x^2})} \, dx\)
 3.378 \(\int \frac{x^3}{13+\frac{2}{x}+15 x} \, dx\)
 3.379 \(\int \frac{x^2}{13+\frac{2}{x}+15 x} \, dx\)
 3.380 \(\int \frac{x}{13+\frac{2}{x}+15 x} \, dx\)
 3.381 \(\int \frac{1}{13+\frac{2}{x}+15 x} \, dx\)
 3.382 \(\int \frac{1}{x (13+\frac{2}{x}+15 x)} \, dx\)
 3.383 \(\int \frac{1}{x^2 (13+\frac{2}{x}+15 x)} \, dx\)
 3.384 \(\int \frac{1}{x^3 (13+\frac{2}{x}+15 x)} \, dx\)
 3.385 \(\int \frac{1}{x^4 (13+\frac{2}{x}+15 x)} \, dx\)
 3.386 \(\int \frac{1}{x^5 (13+\frac{2}{x}+15 x)} \, dx\)
 3.387 \(\int \frac{x^2}{2-(1+x^2)^4} \, dx\)
 3.388 \(\int \frac{x^2}{2-(1-x^2)^4} \, dx\)
 3.389 \(\int \frac{x^2}{2+(1+x^2)^4} \, dx\)
 3.390 \(\int \frac{x^2}{2+(1-x^2)^4} \, dx\)
 3.391 \(\int \frac{1-x^2}{a+b (1-x^2)^4} \, dx\)
 3.392 \(\int \frac{1-x^2}{a+b (-1+x^2)^4} \, dx\)
 3.393 \(\int \frac{(1+x^2)^2}{a x^6+b (1+x^2)^3} \, dx\)
 3.394 \(\int \frac{(d+e x)^3}{a+c x^4} \, dx\)
 3.395 \(\int \frac{(d+e x)^2}{a+c x^4} \, dx\)
 3.396 \(\int \frac{d+e x}{a+c x^4} \, dx\)
 3.397 \(\int \frac{1}{a+c x^4} \, dx\)
 3.398 \(\int \frac{1}{(d+e x) (a+c x^4)} \, dx\)
 3.399 \(\int \frac{1}{(d+e x)^2 (a+c x^4)} \, dx\)
 3.400 \(\int \frac{1}{(d+e x)^3 (a+c x^4)} \, dx\)
 3.401 \(\int \frac{(d+e x)^3}{(a+c x^4)^2} \, dx\)
 3.402 \(\int \frac{(d+e x)^2}{(a+c x^4)^2} \, dx\)
 3.403 \(\int \frac{d+e x}{(a+c x^4)^2} \, dx\)
 3.404 \(\int \frac{1}{(a+c x^4)^2} \, dx\)
 3.405 \(\int \frac{1}{(d+e x) (a+c x^4)^2} \, dx\)
 3.406 \(\int \frac{1}{(d+e x)^2 (a+c x^4)^2} \, dx\)
 3.407 \(\int \frac{1}{(d+e x)^3 (a+c x^4)^2} \, dx\)
 3.408 \(\int \frac{(d+e x)^3}{(a+c x^4)^3} \, dx\)
 3.409 \(\int \frac{(d+e x)^2}{(a+c x^4)^3} \, dx\)
 3.410 \(\int \frac{d+e x}{(a+c x^4)^3} \, dx\)
 3.411 \(\int \frac{1}{(a+c x^4)^3} \, dx\)
 3.412 \(\int \frac{1}{(d+e x) (a+c x^4)^3} \, dx\)
 3.413 \(\int \frac{1}{(d+e x)^2 (a+c x^4)^3} \, dx\)
 3.414 \(\int \frac{1}{(d+e x)^3 (a+c x^4)^3} \, dx\)
 3.415 \(\int \frac{-1+x}{1-x+x^2} \, dx\)
 3.416 \(\int \frac{-1+x^2}{1+x^3} \, dx\)
 3.417 \(\int \frac{-4+3 x}{4-2 x+x^2} \, dx\)
 3.418 \(\int \frac{-8+2 x+3 x^2}{8+x^3} \, dx\)
 3.419 \(\int \frac{2+x}{-1+2 x+x^2} \, dx\)
 3.420 \(\int \frac{-4+x^2}{2-5 x+x^3} \, dx\)
 3.421 \(\int \frac{2}{-1+4 x^2} \, dx\)
 3.422 \(\int (\frac{1}{-1+2 x}-\frac{1}{1+2 x}) \, dx\)
 3.423 \(\int \frac{x}{(1-x^2)^5} \, dx\)
 3.424 \(\int (-\frac{1}{32 (-1+x)^5}+\frac{3}{64 (-1+x)^4}-\frac{5}{128 (-1+x)^3}+\frac{5}{256 (-1+x)^2}-\frac{1}{32 (1+x)^5}-\frac{3}{64 (1+x)^4}-\frac{5}{128 (1+x)^3}-\frac{5}{256 (1+x)^2}) \, dx\)
 3.425 \(\int \frac{1+x^6}{-1+x^6} \, dx\)
 3.426 \(\int \frac{\frac{1}{x^3}+x^3}{-\frac{1}{x^3}+x^3} \, dx\)
 3.427 \(\int \frac{-x+x^3}{6+2 x} \, dx\)
 3.428 \(\int \frac{x+x^3}{-1+x} \, dx\)
 3.429 \(\int (a c+(b c+d) x) \, dx\)
 3.430 \(\int (d x+c (a+b x)) \, dx\)
 3.431 \(\int \frac{4+4 x}{x^2 (1+x^2)} \, dx\)
 3.432 \(\int \frac{24+8 x}{x (-4+x^2)} \, dx\)
 3.433 \(\int \frac{-1+x^2}{-2 x+x^3} \, dx\)
 3.434 \(\int \frac{1+x^2}{3 x+x^3} \, dx\)
 3.435 \(\int \frac{a+3 b x^2}{a x+b x^3} \, dx\)
 3.436 \(\int \frac{-2+4 x}{-x+x^3} \, dx\)
 3.437 \(\int \frac{4+x}{4 x+x^3} \, dx\)
 3.438 \(\int \frac{-x+2 x^3}{1-x^2+x^4} \, dx\)
 3.439 \(\int \frac{-3+x}{2 x+3 x^2+x^3} \, dx\)
 3.440 \(\int \frac{2+4 x}{x^2+2 x^3+x^4} \, dx\)
 3.441 \(\int \frac{1+x}{-6 x+x^2+x^3} \, dx\)
 3.442 \(\int \frac{4 x^2+x^3}{x+x^3} \, dx\)
 3.443 \(\int \frac{x+2 x^3}{(x^2+x^4)^3} \, dx\)
 3.444 \(\int \frac{a x^2+b x^3}{c x^2+d x^3} \, dx\)
 3.445 \(\int \frac{x+x^2}{-2 x-x^2+x^3} \, dx\)
 3.446 \(\int \frac{1-5 x^2}{x^3 (1+x^2)} \, dx\)
 3.447 \(\int \frac{2 x}{(-1+x) (5+x^2)} \, dx\)
 3.448 \(\int \frac{2+x^2}{2+x} \, dx\)
 3.449 \(\int \frac{1}{(-3+x) (4+x^2)} \, dx\)
 3.450 \(\int \frac{-2+3 x^6}{x (5+2 x^6)} \, dx\)
 3.451 \(\int \frac{3+2 x}{(-2+x) (5+x)} \, dx\)
 3.452 \(\int \frac{x^4}{4+5 x^2+x^4} \, dx\)
 3.453 \(\int \frac{1}{(1+x) (2+x)^2 (3+x)^3} \, dx\)
 3.454 \(\int \frac{x}{-1+x^2} \, dx\)
 3.455 \(\int \frac{1}{(-1+x^2)^2} \, dx\)
 3.456 \(\int \frac{x^2}{(1+x^2)^2} \, dx\)
 3.457 \(\int \frac{1}{2+3 x} \, dx\)
 3.458 \(\int \frac{1}{a^2+x^2} \, dx\)
 3.459 \(\int \frac{1}{a+b x^2} \, dx\)
 3.460 \(\int \frac{1}{2-x+x^2} \, dx\)
 3.461 \(\int x^2 (4-x^2)^2 \, dx\)
 3.462 \(\int x (1-x^3)^2 \, dx\)
 3.463 \(\int \frac{-4+5 x^2+x^3}{x^2} \, dx\)
 3.464 \(\int \frac{-1+x}{3-4 x+3 x^2} \, dx\)
 3.465 \(\int (2+x^3)^2 \, dx\)
 3.466 \(\int \frac{-4+x^2}{2+x} \, dx\)
 3.467 \(\int \frac{1}{(2+x) (1+x^2)} \, dx\)
 3.468 \(\int \frac{1}{(1+x) (1+x^2)} \, dx\)
 3.469 \(\int \frac{x}{(1+x) (1+x^2)} \, dx\)
 3.470 \(\int \frac{2 x+x^2}{(1+x)^2} \, dx\)
 3.471 \(\int \frac{-10+x^2}{4+9 x^2+2 x^4} \, dx\)
 3.472 \(\int \frac{31+5 x}{11-4 x+3 x^2} \, dx\)
 3.473 \(\int \frac{-2+x^2+x^3}{x^4} \, dx\)
 3.474 \(\int \frac{1+x+x^3}{x^2} \, dx\)
 3.475 \(\int \frac{-2+x^2}{x (2+x^2)} \, dx\)
 3.476 \(\int (-3+x) (-7+4 x^2) \, dx\)
 3.477 \(\int (-2+7 x)^3 \, dx\)
 3.478 \(\int \frac{-7+4 x^2}{3+2 x} \, dx\)
 3.479 \(\int \frac{1+x}{(-1+x) x^2} \, dx\)
 3.480 \(\int \frac{1}{4 x^2+4 x^3+x^4} \, dx\)
 3.481 \(\int \frac{1+x^2}{1+x} \, dx\)
 3.482 \(\int \frac{-1+3 x-3 x^2+x^3}{x^2} \, dx\)
 3.483 \(\int (\frac{1}{2} (3-\sqrt{37})+x) (\frac{1}{2} (3+\sqrt{37})+x) \, dx\)
 3.484 \(\int \frac{4+3 x^2+2 x^3}{(1+x)^4} \, dx\)
 3.485 \(\int \frac{x}{(1+x)^2 (1+x^2)} \, dx\)
 3.486 \(\int \frac{7-2 x+3 x^2-x^3+x^4}{2+x} \, dx\)
 3.487 \(\int \frac{-1+x^3}{-1+x} \, dx\)
 3.488 \(\int \frac{2+2 x}{(-1+x)^3 (1+x^2)} \, dx\)
 3.489 \(\int \frac{1}{b x+c (d+e x)^2} \, dx\)
 3.490 \(\int \frac{1}{a+b x+c (d+e x)^2} \, dx\)
 3.491 \(\int \frac{x^2}{1+(-1+x^2)^2} \, dx\)
 3.492 \(\int -\frac{15-36 x+5 x^2+12 x^3-34 x^4+140 x^5+15 x^6+8 x^7-30 x^9}{(3+x+x^4)^4} \, dx\)
 3.493 \(\int (\frac{3 (-47+228 x+120 x^2+19 x^3)}{(3+x+x^4)^4}+\frac{42-320 x-75 x^2-8 x^3}{(3+x+x^4)^3}+\frac{30 x}{(3+x+x^4)^2}) \, dx\)
 3.494 \(\int (\frac{-3+10 x+4 x^3-30 x^5}{(3+x+x^4)^3}-\frac{3 (1+4 x^3) (2-3 x+5 x^2+x^4-5 x^6)}{(3+x+x^4)^4}) \, dx\)