Chapter 3
Listing of integrals

 3.1 \(\int (d+e x)^2 (A+B x+C x^2) \sqrt{d^2-e^2 x^2} \, dx\)
 3.2 \(\int (d+e x) (A+B x+C x^2) \sqrt{d^2-e^2 x^2} \, dx\)
 3.3 \(\int (A+B x+C x^2) \sqrt{d^2-e^2 x^2} \, dx\)
 3.4 \(\int \frac{(A+B x+C x^2) \sqrt{d^2-e^2 x^2}}{d+e x} \, dx\)
 3.5 \(\int \frac{(A+B x+C x^2) \sqrt{d^2-e^2 x^2}}{(d+e x)^2} \, dx\)
 3.6 \(\int \frac{(A+B x+C x^2) \sqrt{d^2-e^2 x^2}}{(d+e x)^3} \, dx\)
 3.7 \(\int \frac{(A+B x+C x^2) \sqrt{d^2-e^2 x^2}}{(d+e x)^4} \, dx\)
 3.8 \(\int \frac{(A+B x+C x^2) \sqrt{d^2-e^2 x^2}}{(d+e x)^5} \, dx\)
 3.9 \(\int \frac{(A+B x+C x^2) \sqrt{d^2-e^2 x^2}}{(d+e x)^6} \, dx\)
 3.10 \(\int \frac{(d+e x)^3 (A+B x+C x^2)}{\sqrt{d^2-e^2 x^2}} \, dx\)
 3.11 \(\int \frac{(d+e x)^2 (A+B x+C x^2)}{\sqrt{d^2-e^2 x^2}} \, dx\)
 3.12 \(\int \frac{(d+e x) (A+B x+C x^2)}{\sqrt{d^2-e^2 x^2}} \, dx\)
 3.13 \(\int \frac{A+B x+C x^2}{\sqrt{d^2-e^2 x^2}} \, dx\)
 3.14 \(\int \frac{A+B x+C x^2}{(d+e x) \sqrt{d^2-e^2 x^2}} \, dx\)
 3.15 \(\int \frac{A+B x+C x^2}{(d+e x)^2 \sqrt{d^2-e^2 x^2}} \, dx\)
 3.16 \(\int \frac{A+B x+C x^2}{(d+e x)^3 \sqrt{d^2-e^2 x^2}} \, dx\)
 3.17 \(\int \frac{A+B x+C x^2}{(d+e x)^4 \sqrt{d^2-e^2 x^2}} \, dx\)
 3.18 \(\int (d+e x)^3 (a+c x^2) (A+B x+C x^2) \, dx\)
 3.19 \(\int (d+e x)^2 (a+c x^2) (A+B x+C x^2) \, dx\)
 3.20 \(\int (d+e x) (a+c x^2) (A+B x+C x^2) \, dx\)
 3.21 \(\int (a+c x^2) (A+B x+C x^2) \, dx\)
 3.22 \(\int \frac{(a+c x^2) (A+B x+C x^2)}{d+e x} \, dx\)
 3.23 \(\int \frac{(a+c x^2) (A+B x+C x^2)}{(d+e x)^2} \, dx\)
 3.24 \(\int \frac{(a+c x^2) (A+B x+C x^2)}{(d+e x)^3} \, dx\)
 3.25 \(\int (d+e x)^3 (a+c x^2)^2 (A+B x+C x^2) \, dx\)
 3.26 \(\int (d+e x)^2 (a+c x^2)^2 (A+B x+C x^2) \, dx\)
 3.27 \(\int (d+e x) (a+c x^2)^2 (A+B x+C x^2) \, dx\)
 3.28 \(\int (a+c x^2)^2 (A+B x+C x^2) \, dx\)
 3.29 \(\int \frac{(a+c x^2)^2 (A+B x+C x^2)}{d+e x} \, dx\)
 3.30 \(\int \frac{(a+c x^2)^2 (A+B x+C x^2)}{(d+e x)^2} \, dx\)
 3.31 \(\int \frac{(a+c x^2)^2 (A+B x+C x^2)}{(d+e x)^3} \, dx\)
 3.32 \(\int (d+e x)^3 (a+c x^2)^3 (A+B x+C x^2) \, dx\)
 3.33 \(\int (d+e x)^2 (a+c x^2)^3 (A+B x+C x^2) \, dx\)
 3.34 \(\int (d+e x) (a+c x^2)^3 (A+B x+C x^2) \, dx\)
 3.35 \(\int (a+c x^2)^3 (A+B x+C x^2) \, dx\)
 3.36 \(\int \frac{(a+c x^2)^3 (A+B x+C x^2)}{d+e x} \, dx\)
 3.37 \(\int \frac{(a+c x^2)^3 (A+B x+C x^2)}{(d+e x)^2} \, dx\)
 3.38 \(\int \frac{(a+c x^2)^3 (A+B x+C x^2)}{(d+e x)^3} \, dx\)
 3.39 \(\int \frac{(a+b x^2) (-a d+4 b c x+3 b d x^2)}{(c+d x)^2} \, dx\)
 3.40 \(\int \frac{(a+b x^2) (-a d+b x (4 c+3 d x))}{(c+d x)^2} \, dx\)
 3.41 \(\int \frac{(a+b x^2)^2 (-a d+6 b c x+5 b d x^2)}{(c+d x)^2} \, dx\)
 3.42 \(\int \frac{(a+b x^2)^2 (-a d+b x (6 c+5 d x))}{(c+d x)^2} \, dx\)
 3.43 \(\int \frac{(d+e x)^3 (A+B x+C x^2)}{a+c x^2} \, dx\)
 3.44 \(\int \frac{(d+e x)^2 (A+B x+C x^2)}{a+c x^2} \, dx\)
 3.45 \(\int \frac{(d+e x) (A+B x+C x^2)}{a+c x^2} \, dx\)
 3.46 \(\int \frac{A+B x+C x^2}{a+c x^2} \, dx\)
 3.47 \(\int \frac{A+B x+C x^2}{(d+e x) (a+c x^2)} \, dx\)
 3.48 \(\int \frac{A+B x+C x^2}{(d+e x)^2 (a+c x^2)} \, dx\)
 3.49 \(\int \frac{A+B x+C x^2}{(d+e x)^3 (a+c x^2)} \, dx\)
 3.50 \(\int \frac{(d+e x)^3 (A+B x+C x^2)}{(a+c x^2)^2} \, dx\)
 3.51 \(\int \frac{(d+e x)^2 (A+B x+C x^2)}{(a+c x^2)^2} \, dx\)
 3.52 \(\int \frac{(d+e x) (A+B x+C x^2)}{(a+c x^2)^2} \, dx\)
 3.53 \(\int \frac{A+B x+C x^2}{(a+c x^2)^2} \, dx\)
 3.54 \(\int \frac{A+B x+C x^2}{(d+e x) (a+c x^2)^2} \, dx\)
 3.55 \(\int \frac{A+B x+C x^2}{(d+e x)^2 (a+c x^2)^2} \, dx\)
 3.56 \(\int \frac{A+B x+C x^2}{(d+e x)^3 (a+c x^2)^2} \, dx\)
 3.57 \(\int \frac{(d+e x)^3 (A+B x+C x^2)}{(a+c x^2)^3} \, dx\)
 3.58 \(\int \frac{(d+e x)^2 (A+B x+C x^2)}{(a+c x^2)^3} \, dx\)
 3.59 \(\int \frac{(d+e x) (A+B x+C x^2)}{(a+c x^2)^3} \, dx\)
 3.60 \(\int \frac{A+B x+C x^2}{(a+c x^2)^3} \, dx\)
 3.61 \(\int \frac{A+B x+C x^2}{(d+e x) (a+c x^2)^3} \, dx\)
 3.62 \(\int \frac{A+B x+C x^2}{(d+e x)^2 (a+c x^2)^3} \, dx\)
 3.63 \(\int \frac{A+B x+C x^2}{(d+e x)^3 (a+c x^2)^3} \, dx\)
 3.64 \(\int \frac{(d+e x)^4 (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
 3.65 \(\int \frac{(d+e x)^3 (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
 3.66 \(\int \frac{(d+e x)^2 (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
 3.67 \(\int \frac{(d+e x) (A+B x+C x^2)}{(a+c x^2)^4} \, dx\)
 3.68 \(\int \frac{A+B x+C x^2}{(a+c x^2)^4} \, dx\)
 3.69 \(\int \frac{x^3 (1+x+x^2)}{(1+x^2)^2} \, dx\)
 3.70 \(\int \frac{x^2 (1+x+x^2)}{(1+x^2)^2} \, dx\)
 3.71 \(\int \frac{x (1+x+x^2)}{(1+x^2)^2} \, dx\)
 3.72 \(\int \frac{1+x+x^2}{(1+x^2)^2} \, dx\)
 3.73 \(\int \frac{1+x+x^2}{x (1+x^2)^2} \, dx\)
 3.74 \(\int \frac{1+x+x^2}{x^2 (1+x^2)^2} \, dx\)
 3.75 \(\int \frac{1+x+x^2}{x^3 (1+x^2)^2} \, dx\)
 3.76 \(\int \frac{1+2 x+x^2}{(1+x^2)^2} \, dx\)
 3.77 \(\int \frac{2+12 x+3 x^2}{(4+x^2)^2} \, dx\)
 3.78 \(\int (g+h x)^3 \sqrt{a+c x^2} (d+e x+f x^2) \, dx\)
 3.79 \(\int (g+h x)^2 \sqrt{a+c x^2} (d+e x+f x^2) \, dx\)
 3.80 \(\int (g+h x) \sqrt{a+c x^2} (d+e x+f x^2) \, dx\)
 3.81 \(\int \sqrt{a+c x^2} (d+e x+f x^2) \, dx\)
 3.82 \(\int \frac{\sqrt{a+c x^2} (d+e x+f x^2)}{g+h x} \, dx\)
 3.83 \(\int \frac{\sqrt{a+c x^2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
 3.84 \(\int \frac{\sqrt{a+c x^2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
 3.85 \(\int \frac{\sqrt{a+c x^2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
 3.86 \(\int \frac{\sqrt{a+c x^2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
 3.87 \(\int \frac{\sqrt{a+c x^2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
 3.88 \(\int (g+h x)^3 (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.89 \(\int (g+h x)^2 (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.90 \(\int (g+h x) (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.91 \(\int (a+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.92 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{g+h x} \, dx\)
 3.93 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
 3.94 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
 3.95 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
 3.96 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
 3.97 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
 3.98 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^7} \, dx\)
 3.99 \(\int \frac{(a+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^8} \, dx\)
 3.100 \(\int (a+c x^2)^{5/2} (A+B x+C x^2) \, dx\)
 3.101 \(\int \frac{(g+h x)^3 (d+e x+f x^2)}{\sqrt{a+c x^2}} \, dx\)
 3.102 \(\int \frac{(g+h x)^2 (d+e x+f x^2)}{\sqrt{a+c x^2}} \, dx\)
 3.103 \(\int \frac{(g+h x) (d+e x+f x^2)}{\sqrt{a+c x^2}} \, dx\)
 3.104 \(\int \frac{d+e x+f x^2}{\sqrt{a+c x^2}} \, dx\)
 3.105 \(\int \frac{d+e x+f x^2}{(g+h x) \sqrt{a+c x^2}} \, dx\)
 3.106 \(\int \frac{d+e x+f x^2}{(g+h x)^2 \sqrt{a+c x^2}} \, dx\)
 3.107 \(\int \frac{d+e x+f x^2}{(g+h x)^3 \sqrt{a+c x^2}} \, dx\)
 3.108 \(\int \frac{(g+h x)^3 (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
 3.109 \(\int \frac{(g+h x)^2 (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
 3.110 \(\int \frac{(g+h x) (d+e x+f x^2)}{(a+c x^2)^{3/2}} \, dx\)
 3.111 \(\int \frac{d+e x+f x^2}{(a+c x^2)^{3/2}} \, dx\)
 3.112 \(\int \frac{d+e x+f x^2}{(g+h x) (a+c x^2)^{3/2}} \, dx\)
 3.113 \(\int \frac{d+e x+f x^2}{(g+h x)^2 (a+c x^2)^{3/2}} \, dx\)
 3.114 \(\int \frac{d+e x+f x^2}{(g+h x)^3 (a+c x^2)^{3/2}} \, dx\)
 3.115 \(\int \frac{A+B x+C x^2}{(a+c x^2)^{5/2}} \, dx\)
 3.116 \(\int \frac{A+B x+C x^2}{(a+c x^2)^{7/2}} \, dx\)
 3.117 \(\int \frac{A+B x+C x^2}{(a+c x^2)^{9/2}} \, dx\)
 3.118 \(\int \frac{(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt{2+3 x^2}} \, dx\)
 3.119 \(\int \frac{(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt{2+3 x^2}} \, dx\)
 3.120 \(\int \frac{(1+2 x) (1+3 x+4 x^2)}{\sqrt{2+3 x^2}} \, dx\)
 3.121 \(\int \frac{1+3 x+4 x^2}{(1+2 x) \sqrt{2+3 x^2}} \, dx\)
 3.122 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^2 \sqrt{2+3 x^2}} \, dx\)
 3.123 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^3 \sqrt{2+3 x^2}} \, dx\)
 3.124 \(\int \frac{(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
 3.125 \(\int \frac{(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
 3.126 \(\int \frac{(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\)
 3.127 \(\int \frac{1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{3/2}} \, dx\)
 3.128 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{3/2}} \, dx\)
 3.129 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{3/2}} \, dx\)
 3.130 \(\int \frac{(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
 3.131 \(\int \frac{(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
 3.132 \(\int \frac{(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\)
 3.133 \(\int \frac{1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{5/2}} \, dx\)
 3.134 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{5/2}} \, dx\)
 3.135 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{5/2}} \, dx\)
 3.136 \(\int (g+h x)^m (a+c x^2)^p (d+e x+f x^2) \, dx\)
 3.137 \(\int (g+h x)^m \sqrt{a+c x^2} (d+e x+f x^2) \, dx\)
 3.138 \(\int (g+h x)^{-3-2 p} (a+c x^2)^p (d+e x+f x^2) \, dx\)
 3.139 \(\int (d+e x)^m (-c d^2+b d e+b e^2 x+c e^2 x^2)^p (-(c d-b e) f+(c e f-c d g+b e g) x+c e g x^2) \, dx\)
 3.140 \(\int (a+b x+c x^2)^4 (A+C x^2) \, dx\)
 3.141 \(\int (a+b x+c x^2)^3 (A+C x^2) \, dx\)
 3.142 \(\int (a+b x+c x^2)^2 (A+C x^2) \, dx\)
 3.143 \(\int (a+b x+c x^2) (A+C x^2) \, dx\)
 3.144 \(\int \frac{A+C x^2}{a+b x+c x^2} \, dx\)
 3.145 \(\int \frac{A+C x^2}{(a+b x+c x^2)^2} \, dx\)
 3.146 \(\int \frac{A+C x^2}{(a+b x+c x^2)^3} \, dx\)
 3.147 \(\int \frac{A+C x^2}{(a+b x+c x^2)^4} \, dx\)
 3.148 \(\int \frac{(d+e x)^3 (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
 3.149 \(\int \frac{(d+e x)^2 (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
 3.150 \(\int \frac{(d+e x) (f+g x+h x^2)}{a+b x+c x^2} \, dx\)
 3.151 \(\int \frac{f+g x+h x^2}{a+b x+c x^2} \, dx\)
 3.152 \(\int \frac{f+g x+h x^2}{(d+e x) (a+b x+c x^2)} \, dx\)
 3.153 \(\int \frac{f+g x+h x^2}{(d+e x)^2 (a+b x+c x^2)} \, dx\)
 3.154 \(\int \frac{f+g x+h x^2}{(d+e x)^3 (a+b x+c x^2)} \, dx\)
 3.155 \(\int \frac{(d+e x)^2 (f+g x+h x^2)}{(a+b x+c x^2)^2} \, dx\)
 3.156 \(\int \frac{(d+e x) (f+g x+h x^2)}{(a+b x+c x^2)^2} \, dx\)
 3.157 \(\int \frac{f+g x+h x^2}{(a+b x+c x^2)^2} \, dx\)
 3.158 \(\int \frac{f+g x+h x^2}{(d+e x) (a+b x+c x^2)^2} \, dx\)
 3.159 \(\int \frac{f+g x+h x^2}{(d+e x)^2 (a+b x+c x^2)^2} \, dx\)
 3.160 \(\int \frac{x^3 (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
 3.161 \(\int \frac{x^2 (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
 3.162 \(\int \frac{x (1+x+x^2)}{(1-x+x^2)^2} \, dx\)
 3.163 \(\int \frac{1+x+x^2}{(1-x+x^2)^2} \, dx\)
 3.164 \(\int \frac{1+x+x^2}{x (1-x+x^2)^2} \, dx\)
 3.165 \(\int \frac{1+x+x^2}{x^2 (1-x+x^2)^2} \, dx\)
 3.166 \(\int \frac{1+x+x^2}{x^3 (1-x+x^2)^2} \, dx\)
 3.167 \(\int \frac{1-x^2}{(1+x+x^2)^2} \, dx\)
 3.168 \(\int \frac{1+x^2}{1+x+x^2} \, dx\)
 3.169 \(\int \frac{-1+x^2}{25-6 x+x^2} \, dx\)
 3.170 \(\int \frac{-10+3 x^2}{4-4 x+x^2} \, dx\)
 3.171 \(\int \frac{8+x^2}{6-5 x+x^2} \, dx\)
 3.172 \(\int \frac{-4+3 x+x^2}{-8-2 x+x^2} \, dx\)
 3.173 \(\int \frac{7+5 x+4 x^2}{5+4 x+4 x^2} \, dx\)
 3.174 \(\int \frac{2-x+x^2}{-5+2 x+x^2} \, dx\)
 3.175 \(\int \frac{1+4 x+3 x^2}{(4+7 x+2 x^2)^2} \, dx\)
 3.176 \(\int \frac{1+x+x^2}{(3+2 x+x^2)^2} \, dx\)
 3.177 \(\int \frac{-1+2 x+5 x^2}{(1+x+x^2)^4} \, dx\)
 3.178 \(\int (a+b x+c x^2)^{5/2} (A+C x^2) \, dx\)
 3.179 \(\int (a+b x+c x^2)^{3/2} (A+C x^2) \, dx\)
 3.180 \(\int \sqrt{a+b x+c x^2} (A+C x^2) \, dx\)
 3.181 \(\int \frac{A+C x^2}{\sqrt{a+b x+c x^2}} \, dx\)
 3.182 \(\int \frac{A+C x^2}{(a+b x+c x^2)^{3/2}} \, dx\)
 3.183 \(\int \frac{A+C x^2}{(a+b x+c x^2)^{5/2}} \, dx\)
 3.184 \(\int \frac{A+C x^2}{(a+b x+c x^2)^{7/2}} \, dx\)
 3.185 \(\int \frac{A+C x^2}{(a+b x+c x^2)^{9/2}} \, dx\)
 3.186 \(\int (g+h x)^3 \sqrt{a+b x+c x^2} (d+e x+f x^2) \, dx\)
 3.187 \(\int (g+h x)^2 \sqrt{a+b x+c x^2} (d+e x+f x^2) \, dx\)
 3.188 \(\int (g+h x) \sqrt{a+b x+c x^2} (d+e x+f x^2) \, dx\)
 3.189 \(\int \sqrt{a+b x+c x^2} (d+e x+f x^2) \, dx\)
 3.190 \(\int \frac{\sqrt{a+b x+c x^2} (d+e x+f x^2)}{g+h x} \, dx\)
 3.191 \(\int \frac{\sqrt{a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
 3.192 \(\int \frac{\sqrt{a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
 3.193 \(\int \frac{\sqrt{a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
 3.194 \(\int \frac{\sqrt{a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
 3.195 \(\int \frac{\sqrt{a+b x+c x^2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
 3.196 \(\int (g+h x)^3 (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.197 \(\int (g+h x)^2 (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.198 \(\int (g+h x) (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.199 \(\int (a+b x+c x^2)^{3/2} (d+e x+f x^2) \, dx\)
 3.200 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{g+h x} \, dx\)
 3.201 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^2} \, dx\)
 3.202 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^3} \, dx\)
 3.203 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^4} \, dx\)
 3.204 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^5} \, dx\)
 3.205 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^6} \, dx\)
 3.206 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^7} \, dx\)
 3.207 \(\int \frac{(a+b x+c x^2)^{3/2} (d+e x+f x^2)}{(g+h x)^8} \, dx\)
 3.208 \(\int (1+2 x)^3 \sqrt{2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
 3.209 \(\int (1+2 x)^2 \sqrt{2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
 3.210 \(\int (1+2 x) \sqrt{2-x+3 x^2} (1+3 x+4 x^2) \, dx\)
 3.211 \(\int \frac{\sqrt{2-x+3 x^2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
 3.212 \(\int \frac{\sqrt{2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
 3.213 \(\int \frac{\sqrt{2-x+3 x^2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
 3.214 \(\int (1+2 x)^3 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
 3.215 \(\int (1+2 x)^2 (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
 3.216 \(\int (1+2 x) (2-x+3 x^2)^{3/2} (1+3 x+4 x^2) \, dx\)
 3.217 \(\int \frac{(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
 3.218 \(\int \frac{(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
 3.219 \(\int \frac{(2-x+3 x^2)^{3/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
 3.220 \(\int (1+2 x)^3 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
 3.221 \(\int (1+2 x)^2 (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
 3.222 \(\int (1+2 x) (2-x+3 x^2)^{5/2} (1+3 x+4 x^2) \, dx\)
 3.223 \(\int \frac{(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{1+2 x} \, dx\)
 3.224 \(\int \frac{(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^2} \, dx\)
 3.225 \(\int \frac{(2-x+3 x^2)^{5/2} (1+3 x+4 x^2)}{(1+2 x)^3} \, dx\)
 3.226 \(\int \frac{(g+h x)^3 (d+e x+f x^2)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.227 \(\int \frac{(g+h x)^2 (d+e x+f x^2)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.228 \(\int \frac{(g+h x) (d+e x+f x^2)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.229 \(\int \frac{d+e x+f x^2}{\sqrt{a+b x+c x^2}} \, dx\)
 3.230 \(\int \frac{d+e x+f x^2}{(g+h x) \sqrt{a+b x+c x^2}} \, dx\)
 3.231 \(\int \frac{d+e x+f x^2}{(g+h x)^2 \sqrt{a+b x+c x^2}} \, dx\)
 3.232 \(\int \frac{d+e x+f x^2}{(g+h x)^3 \sqrt{a+b x+c x^2}} \, dx\)
 3.233 \(\int \frac{(g+h x)^3 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
 3.234 \(\int \frac{(g+h x)^2 (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
 3.235 \(\int \frac{(g+h x) (d+e x+f x^2)}{(a+b x+c x^2)^{3/2}} \, dx\)
 3.236 \(\int \frac{d+e x+f x^2}{(a+b x+c x^2)^{3/2}} \, dx\)
 3.237 \(\int \frac{d+e x+f x^2}{(g+h x) (a+b x+c x^2)^{3/2}} \, dx\)
 3.238 \(\int \frac{d+e x+f x^2}{(g+h x)^2 (a+b x+c x^2)^{3/2}} \, dx\)
 3.239 \(\int \frac{d+e x+f x^2}{(g+h x)^3 (a+b x+c x^2)^{3/2}} \, dx\)
 3.240 \(\int \frac{(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt{2-x+3 x^2}} \, dx\)
 3.241 \(\int \frac{(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt{2-x+3 x^2}} \, dx\)
 3.242 \(\int \frac{(1+2 x) (1+3 x+4 x^2)}{\sqrt{2-x+3 x^2}} \, dx\)
 3.243 \(\int \frac{1+3 x+4 x^2}{(1+2 x) \sqrt{2-x+3 x^2}} \, dx\)
 3.244 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^2 \sqrt{2-x+3 x^2}} \, dx\)
 3.245 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^3 \sqrt{2-x+3 x^2}} \, dx\)
 3.246 \(\int \frac{(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
 3.247 \(\int \frac{(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
 3.248 \(\int \frac{(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{3/2}} \, dx\)
 3.249 \(\int \frac{1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{3/2}} \, dx\)
 3.250 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{3/2}} \, dx\)
 3.251 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{3/2}} \, dx\)
 3.252 \(\int \frac{(1+2 x)^3 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
 3.253 \(\int \frac{(1+2 x)^2 (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
 3.254 \(\int \frac{(1+2 x) (1+3 x+4 x^2)}{(2-x+3 x^2)^{5/2}} \, dx\)
 3.255 \(\int \frac{1+3 x+4 x^2}{(1+2 x) (2-x+3 x^2)^{5/2}} \, dx\)
 3.256 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^2 (2-x+3 x^2)^{5/2}} \, dx\)
 3.257 \(\int \frac{1+3 x+4 x^2}{(1+2 x)^3 (2-x+3 x^2)^{5/2}} \, dx\)
 3.258 \(\int \frac{d+e x+f x^2}{(g+h x) (-c g^2+b g h+b h^2 x+c h^2 x^2)^{3/2}} \, dx\)
 3.259 \(\int \sqrt{d+e x} \sqrt{a+b x+c x^2} (A+B x+C x^2) \, dx\)
 3.260 \(\int \frac{\sqrt{a+b x+c x^2} (A+B x+C x^2)}{\sqrt{d+e x}} \, dx\)
 3.261 \(\int \frac{\sqrt{a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{3/2}} \, dx\)
 3.262 \(\int \frac{\sqrt{a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{5/2}} \, dx\)
 3.263 \(\int \frac{\sqrt{a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{7/2}} \, dx\)
 3.264 \(\int \frac{\sqrt{a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{9/2}} \, dx\)
 3.265 \(\int \frac{\sqrt{a+b x+c x^2} (A+B x+C x^2)}{(d+e x)^{11/2}} \, dx\)
 3.266 \(\int \frac{(d+e x)^{3/2} (A+B x+C x^2)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.267 \(\int \frac{\sqrt{d+e x} (A+B x+C x^2)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.268 \(\int \frac{A+B x+C x^2}{\sqrt{d+e x} \sqrt{a+b x+c x^2}} \, dx\)
 3.269 \(\int \frac{A+B x+C x^2}{(d+e x)^{3/2} \sqrt{a+b x+c x^2}} \, dx\)
 3.270 \(\int \frac{A+B x+C x^2}{(d+e x)^{5/2} \sqrt{a+b x+c x^2}} \, dx\)
 3.271 \(\int \frac{A+B x+C x^2}{(d+e x)^{7/2} \sqrt{a+b x+c x^2}} \, dx\)
 3.272 \(\int (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2) \, dx\)
 3.273 \(\int (g+h x)^m \sqrt{a+b x+c x^2} (d+e x+f x^2) \, dx\)
 3.274 \(\int (g+h x)^{-3-2 p} (a+b x+c x^2)^p (d+e x+f x^2) \, dx\)
 3.275 \(\int (d+f x^2)^p (2 c d f+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\)
 3.276 \(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f-c e^2 p+2 c f^2 (3+2 p) x^2) \, dx\)
 3.277 \(\int (d+e x+f x^2)^p (-2 c e^2+2 c d f+3 b e f-c e^2 p+2 b e f p+2 b f^2 (3+2 p) x+2 c f^2 (3+2 p) x^2) \, dx\)
 3.278 \(\int (d+e x)^3 (a+b x+c x^2)^5 (d (6 b d+5 a e)+(12 c d^2+17 b d e+5 a e^2) x+e (29 c d+11 b e) x^2+17 c e^2 x^3) \, dx\)
 3.279 \(\int \frac{x^2+x^3}{-2+x+x^2} \, dx\)
 3.280 \(\int \frac{x^2 (d+e x+f x^2+g x^3)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.281 \(\int \frac{x (d+e x+f x^2+g x^3)}{\sqrt{a+b x+c x^2}} \, dx\)
 3.282 \(\int \frac{d+e x+f x^2+g x^3}{\sqrt{a+b x+c x^2}} \, dx\)
 3.283 \(\int \frac{d+e x+f x^2+g x^3}{x \sqrt{a+b x+c x^2}} \, dx\)
 3.284 \(\int \frac{d+e x+f x^2+g x^3}{x^2 \sqrt{a+b x+c x^2}} \, dx\)
 3.285 \(\int \frac{d+e x+f x^2+g x^3}{x^3 \sqrt{a+b x+c x^2}} \, dx\)
 3.286 \(\int \frac{d+e x+f x^2+g x^3}{x^4 \sqrt{a+b x+c x^2}} \, dx\)
 3.287 \(\int \frac{d+e x+f x^2+g x^3}{x^5 \sqrt{a+b x+c x^2}} \, dx\)
 3.288 \(\int \frac{d+e x+f x^2+g x^3}{x^6 \sqrt{a+b x+c x^2}} \, dx\)
 3.289 \(\int (d+e x)^3 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.290 \(\int (d+e x)^2 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.291 \(\int (d+e x) (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.292 \(\int (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.293 \(\int \frac{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\)
 3.294 \(\int \frac{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\)
 3.295 \(\int \frac{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\)
 3.296 \(\int (d+e x)^3 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.297 \(\int (d+e x)^2 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.298 \(\int (d+e x) (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.299 \(\int (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.300 \(\int \frac{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\)
 3.301 \(\int \frac{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\)
 3.302 \(\int \frac{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\)
 3.303 \(\int \frac{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^4} \, dx\)
 3.304 \(\int \frac{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
 3.305 \(\int \frac{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
 3.306 \(\int \frac{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
 3.307 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{3+2 x+5 x^2} \, dx\)
 3.308 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)} \, dx\)
 3.309 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)} \, dx\)
 3.310 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)} \, dx\)
 3.311 \(\int \frac{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
 3.312 \(\int \frac{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
 3.313 \(\int \frac{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
 3.314 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^2} \, dx\)
 3.315 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^2} \, dx\)
 3.316 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^2} \, dx\)
 3.317 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)^2} \, dx\)
 3.318 \(\int \frac{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
 3.319 \(\int \frac{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
 3.320 \(\int \frac{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\)
 3.321 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^3} \, dx\)
 3.322 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^3} \, dx\)
 3.323 \(\int \frac{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^3} \, dx\)
 3.324 \(\int (5+2 x) \sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
 3.325 \(\int \sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
 3.326 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\)
 3.327 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\)
 3.328 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\)
 3.329 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\)
 3.330 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\)
 3.331 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\)
 3.332 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\)
 3.333 \(\int \frac{\sqrt{3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\)
 3.334 \(\int (5+2 x) (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
 3.335 \(\int (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\)
 3.336 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\)
 3.337 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\)
 3.338 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\)
 3.339 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\)
 3.340 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\)
 3.341 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\)
 3.342 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\)
 3.343 \(\int \frac{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\)
 3.344 \(\int \frac{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{\sqrt{3-x+2 x^2}} \, dx\)
 3.345 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{\sqrt{3-x+2 x^2}} \, dx\)
 3.346 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x) \sqrt{3-x+2 x^2}} \, dx\)
 3.347 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 \sqrt{3-x+2 x^2}} \, dx\)
 3.348 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 \sqrt{3-x+2 x^2}} \, dx\)
 3.349 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 \sqrt{3-x+2 x^2}} \, dx\)
 3.350 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^5 \sqrt{3-x+2 x^2}} \, dx\)
 3.351 \(\int \frac{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\)
 3.352 \(\int \frac{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\)
 3.353 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{3/2}} \, dx\)
 3.354 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{3/2}} \, dx\)
 3.355 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{3/2}} \, dx\)
 3.356 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{3/2}} \, dx\)
 3.357 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{3/2}} \, dx\)
 3.358 \(\int \frac{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\)
 3.359 \(\int \frac{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\)
 3.360 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{5/2}} \, dx\)
 3.361 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{5/2}} \, dx\)
 3.362 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{5/2}} \, dx\)
 3.363 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{5/2}} \, dx\)
 3.364 \(\int \frac{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{5/2}} \, dx\)
 3.365 \(\int \frac{f+g x+h x^2+i x^3+j x^4}{(a+b x+c x^2)^{5/2}} \, dx\)
 3.366 \(\int \frac{f+g x+h x^2+i x^3+j x^4}{(a+b x-c x^2)^{5/2}} \, dx\)
 3.367 \(\int (d+e x)^m (3+2 x+5 x^2)^3 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.368 \(\int (d+e x)^m (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.369 \(\int (d+e x)^m (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\)
 3.370 \(\int \frac{(d+e x)^m (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\)
 3.371 \(\int \frac{(d+e x)^m (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\)
 3.372 \(\int \frac{d+e x+f x^2+g x^3+h x^4+i x^5}{(a+b x+c x^2)^3} \, dx\)
 3.373 \(\int \frac{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x+c x^2} \, dx\)
 3.374 \(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) \sqrt{3+2 x+5 x^2} \, dx\)
 3.375 \(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) \sqrt{3+2 x+5 x^2} \, dx\)
 3.376 \(\int (1+4 x-7 x^2) (2+5 x+x^2) \sqrt{3+2 x+5 x^2} \, dx\)
 3.377 \(\int \frac{(2+5 x+x^2) \sqrt{3+2 x+5 x^2}}{1+4 x-7 x^2} \, dx\)
 3.378 \(\int \frac{(2+5 x+x^2) \sqrt{3+2 x+5 x^2}}{(1+4 x-7 x^2)^2} \, dx\)
 3.379 \(\int \frac{(2+5 x+x^2) \sqrt{3+2 x+5 x^2}}{(1+4 x-7 x^2)^3} \, dx\)
 3.380 \(\int (1+4 x-7 x^2)^3 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\)
 3.381 \(\int (1+4 x-7 x^2)^2 (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\)
 3.382 \(\int (1+4 x-7 x^2) (2+5 x+x^2) (3+2 x+5 x^2)^{3/2} \, dx\)
 3.383 \(\int \frac{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{1+4 x-7 x^2} \, dx\)
 3.384 \(\int \frac{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^2} \, dx\)
 3.385 \(\int \frac{(2+5 x+x^2) (3+2 x+5 x^2)^{3/2}}{(1+4 x-7 x^2)^3} \, dx\)
 3.386 \(\int \frac{(1+4 x-7 x^2)^3 (2+5 x+x^2)}{\sqrt{3+2 x+5 x^2}} \, dx\)
 3.387 \(\int \frac{(1+4 x-7 x^2)^2 (2+5 x+x^2)}{\sqrt{3+2 x+5 x^2}} \, dx\)
 3.388 \(\int \frac{(1+4 x-7 x^2) (2+5 x+x^2)}{\sqrt{3+2 x+5 x^2}} \, dx\)
 3.389 \(\int \frac{2+5 x+x^2}{(1+4 x-7 x^2) \sqrt{3+2 x+5 x^2}} \, dx\)
 3.390 \(\int \frac{2+5 x+x^2}{(1+4 x-7 x^2)^2 \sqrt{3+2 x+5 x^2}} \, dx\)
 3.391 \(\int \frac{2+5 x+x^2}{(1+4 x-7 x^2)^3 \sqrt{3+2 x+5 x^2}} \, dx\)
 3.392 \(\int \frac{(1+4 x-7 x^2)^3 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\)
 3.393 \(\int \frac{(1+4 x-7 x^2)^2 (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\)
 3.394 \(\int \frac{(1+4 x-7 x^2) (2+5 x+x^2)}{(3+2 x+5 x^2)^{3/2}} \, dx\)
 3.395 \(\int \frac{2+5 x+x^2}{(1+4 x-7 x^2) (3+2 x+5 x^2)^{3/2}} \, dx\)
 3.396 \(\int \frac{2+5 x+x^2}{(1+4 x-7 x^2)^2 (3+2 x+5 x^2)^{3/2}} \, dx\)
 3.397 \(\int \frac{2+5 x+x^2}{(1+4 x-7 x^2)^3 (3+2 x+5 x^2)^{3/2}} \, dx\)
 3.398 \(\int (a+c x^2)^p (A+C x^2) (d+f x^2)^q \, dx\)
 3.399 \(\int (A+B x) (a+c x^2)^p (d+f x^2)^q \, dx\)
 3.400 \(\int (a+c x^2)^p (A+B x+C x^2) (d+f x^2)^q \, dx\)