3.1 \(\int (a+b x) (c+d x) (e+f x) (g+h x) \, dx\)
 3.2 \(\int \frac{(a+b x) (c+d x) (e+f x)}{g+h x} \, dx\)
 3.3 \(\int \frac{(a+b x) (c+d x)}{(e+f x) (g+h x)} \, dx\)
 3.4 \(\int \frac{a+b x}{(c+d x) (e+f x) (g+h x)} \, dx\)
 3.5 \(\int \frac{1}{(a+b x) (c+d x) (e+f x) (g+h x)} \, dx\)
 3.6 \(\int \frac{x}{(1+x) (2+x) (3+x)} \, dx\)
 3.7 \(\int \frac{-x^2+x^3}{(-6+x) (3+5 x)^3} \, dx\)
 3.8 \(\int \frac{(a+b x)^3 \sqrt{c+d x} (e+f x)}{x} \, dx\)
 3.9 \(\int \frac{(a+b x)^2 \sqrt{c+d x} (e+f x)}{x} \, dx\)
 3.10 \(\int \frac{(a+b x) \sqrt{c+d x} (e+f x)}{x} \, dx\)
 3.11 \(\int \frac{\sqrt{c+d x} (e+f x)}{x} \, dx\)
 3.12 \(\int \frac{\sqrt{c+d x} (e+f x)}{x (a+b x)} \, dx\)
 3.13 \(\int \frac{\sqrt{c+d x} (e+f x)}{x (a+b x)^2} \, dx\)
 3.14 \(\int \frac{\sqrt{c+d x} (e+f x)}{x (a+b x)^3} \, dx\)
 3.15 \(\int \frac{\sqrt{a+b x} (c+d x)^3 (e+f x)}{x} \, dx\)
 3.16 \(\int \frac{\sqrt{a+b x} (c+d x)^2 (e+f x)}{x} \, dx\)
 3.17 \(\int \frac{\sqrt{a+b x} (c+d x) (e+f x)}{x} \, dx\)
 3.18 \(\int \frac{\sqrt{a+b x} (e+f x)}{x} \, dx\)
 3.19 \(\int \frac{\sqrt{a+b x} (e+f x)}{x (c+d x)} \, dx\)
 3.20 \(\int \frac{\sqrt{a+b x} (e+f x)}{x (c+d x)^2} \, dx\)
 3.21 \(\int \frac{\sqrt{a+b x} (e+f x)}{x (c+d x)^3} \, dx\)
 3.22 \(\int \frac{x^3 (1+a x)}{\sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.23 \(\int \frac{x^2 (1+a x)}{\sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.24 \(\int \frac{x (1+a x)}{\sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.25 \(\int \frac{1+a x}{\sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.26 \(\int \frac{1+a x}{x \sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.27 \(\int \frac{1+a x}{x^2 \sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.28 \(\int \frac{1+a x}{x^3 \sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.29 \(\int \frac{1+a x}{x^4 \sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.30 \(\int \frac{1+a x}{x^5 \sqrt{a x} \sqrt{1-a x}} \, dx\)
 3.31 \(\int \frac{-1+2 a x}{\sqrt{-1+x} x^2 \sqrt{1+x}} \, dx\)
 3.32 \(\int \frac{a^2 x^2-(1-a x)^2}{\sqrt{-1+x} x^2 \sqrt{1+x}} \, dx\)
 3.33 \(\int \frac{A+B x}{\sqrt{a+b x} \sqrt{c+\frac{b (-1+c) x}{a}} \sqrt{e+\frac{b (-1+e) x}{a}}} \, dx\)
 3.34 \(\int \frac{A+B x}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+\frac{b (-1+e) x}{a}}} \, dx\)
 3.35 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^3 \, dx\)
 3.36 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^2 \, dx\)
 3.37 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x) \, dx\)
 3.38 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} \, dx\)
 3.39 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{7+5 x} \, dx\)
 3.40 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^2} \, dx\)
 3.41 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^3} \, dx\)
 3.42 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^4} \, dx\)
 3.43 \(\int \frac{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}}{a+b x} \, dx\)
 3.44 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x} (7+5 x)^3}{\sqrt{-5+2 x}} \, dx\)
 3.45 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x} (7+5 x)^2}{\sqrt{-5+2 x}} \, dx\)
 3.46 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x} (7+5 x)}{\sqrt{-5+2 x}} \, dx\)
 3.47 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x}} \, dx\)
 3.48 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)} \, dx\)
 3.49 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)^2} \, dx\)
 3.50 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)^3} \, dx\)
 3.51 \(\int \frac{\sqrt{2-3 x} (7+5 x)^3}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.52 \(\int \frac{\sqrt{2-3 x} (7+5 x)^2}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.53 \(\int \frac{\sqrt{2-3 x} (7+5 x)}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.54 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.55 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)} \, dx\)
 3.56 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^2} \, dx\)
 3.57 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^3} \, dx\)
 3.58 \(\int \frac{\sqrt{c+d x}}{(a+b x) \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.59 \(\int \frac{(c+d x)^{3/2}}{(a+b x) \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.60 \(\int \frac{(7+5 x)^4}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.61 \(\int \frac{(7+5 x)^3}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.62 \(\int \frac{(7+5 x)^2}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.63 \(\int \frac{7+5 x}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.64 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.65 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)} \, dx\)
 3.66 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^2} \, dx\)
 3.67 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^3} \, dx\)
 3.68 \(\int \frac{c i+d i x}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.69 \(\int \frac{a+b x}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.70 \(\int \frac{1}{(a+b x) \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.71 \(\int \frac{1}{(a+b x) (c+d x)^{3/2} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.72 \(\int \frac{1}{(a+b x) (c+d x)^{5/2} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.73 \(\int \frac{1}{(a+b x) \sqrt{c+d x} \sqrt{1-f x} \sqrt{1+f x}} \, dx\)
 3.74 \(\int \frac{1}{(a+b x) \sqrt{c+d x} \sqrt{1-f^2 x^2}} \, dx\)
 3.75 \(\int \frac{1}{(a+b x) \sqrt{c+d x} \sqrt{1-f^2 x} \sqrt{1+f^2 x}} \, dx\)
 3.76 \(\int \frac{1}{(a+b x) \sqrt{c+d x} \sqrt{1-f^4 x^2}} \, dx\)
 3.77 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^{5/2} \, dx\)
 3.78 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^{3/2} \, dx\)
 3.79 \(\int \sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} \sqrt{7+5 x} \, dx\)
 3.80 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{\sqrt{7+5 x}} \, dx\)
 3.81 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^{3/2}} \, dx\)
 3.82 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^{5/2}} \, dx\)
 3.83 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^{7/2}} \, dx\)
 3.84 \(\int \frac{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}}{(7+5 x)^{9/2}} \, dx\)
 3.85 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x} (7+5 x)^{5/2}}{\sqrt{-5+2 x}} \, dx\)
 3.86 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x} (7+5 x)^{3/2}}{\sqrt{-5+2 x}} \, dx\)
 3.87 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x} \sqrt{7+5 x}}{\sqrt{-5+2 x}} \, dx\)
 3.88 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} \sqrt{7+5 x}} \, dx\)
 3.89 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)^{3/2}} \, dx\)
 3.90 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)^{5/2}} \, dx\)
 3.91 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)^{7/2}} \, dx\)
 3.92 \(\int \frac{\sqrt{2-3 x} \sqrt{1+4 x}}{\sqrt{-5+2 x} (7+5 x)^{9/2}} \, dx\)
 3.93 \(\int \frac{\sqrt{2-3 x} (7+5 x)^{5/2}}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.94 \(\int \frac{\sqrt{2-3 x} (7+5 x)^{3/2}}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.95 \(\int \frac{\sqrt{2-3 x} \sqrt{7+5 x}}{\sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.96 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x} \sqrt{7+5 x}} \, dx\)
 3.97 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^{3/2}} \, dx\)
 3.98 \(\int \frac{\sqrt{2-3 x}}{\sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^{5/2}} \, dx\)
 3.99 \(\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{\sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.100 \(\int \frac{\sqrt{c+d x}}{(a+b x)^{3/2} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.101 \(\int \frac{(7+5 x)^{5/2}}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.102 \(\int \frac{(7+5 x)^{3/2}}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.103 \(\int \frac{\sqrt{7+5 x}}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x}} \, dx\)
 3.104 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} \sqrt{7+5 x}} \, dx\)
 3.105 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^{3/2}} \, dx\)
 3.106 \(\int \frac{1}{\sqrt{2-3 x} \sqrt{-5+2 x} \sqrt{1+4 x} (7+5 x)^{5/2}} \, dx\)
 3.107 \(\int \frac{(a+b x)^{3/2}}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.108 \(\int \frac{\sqrt{a+b x}}{\sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.109 \(\int \frac{1}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.110 \(\int \frac{1}{(a+b x)^{3/2} \sqrt{c+d x} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.111 \(\int \frac{1}{(a+b x)^{3/2} (c+d x)^{3/2} \sqrt{e+f x} \sqrt{g+h x}} \, dx\)
 3.112 \(\int \frac{x^4 (e+f x)^n}{(a+b x) (c+d x)} \, dx\)
 3.113 \(\int \frac{x^3 (e+f x)^n}{(a+b x) (c+d x)} \, dx\)
 3.114 \(\int \frac{x^2 (e+f x)^n}{(a+b x) (c+d x)} \, dx\)
 3.115 \(\int \frac{x (e+f x)^n}{(a+b x) (c+d x)} \, dx\)
 3.116 \(\int \frac{(e+f x)^n}{(a+b x) (c+d x)} \, dx\)
 3.117 \(\int \frac{(e+f x)^n}{x (a+b x) (c+d x)} \, dx\)
 3.118 \(\int \frac{(e+f x)^n}{x^2 (a+b x) (c+d x)} \, dx\)
 3.119 \(\int (a+b x)^m (c+d x) (e+f x) (g+h x) \, dx\)
 3.120 \(\int \frac{(a+b x)^m (c+d x) (e+f x)}{g+h x} \, dx\)
 3.121 \(\int \frac{(a+b x)^m (c+d x)}{(e+f x) (g+h x)} \, dx\)
 3.122 \(\int \frac{(a+b x)^m}{(c+d x) (e+f x) (g+h x)} \, dx\)
 3.123 \(\int \frac{x^m (e+f x)^n}{(a+b x) (c+d x)} \, dx\)
 3.124 \(\int (a+b x)^m (c+d x)^n (e+f x) (g+h x) \, dx\)
 3.125 \(\int (a+b x)^m (c+d x)^{1-m} (e+f x) (g+h x) \, dx\)
 3.126 \(\int (a+b x)^m (c+d x)^{-m} (e+f x) (g+h x) \, dx\)
 3.127 \(\int (a+b x)^m (c+d x)^{-1-m} (e+f x) (g+h x) \, dx\)
 3.128 \(\int (a+b x)^m (c+d x)^{-2-m} (e+f x) (g+h x) \, dx\)
 3.129 \(\int (a+b x)^m (c+d x)^{-3-m} (e+f x) (g+h x) \, dx\)
 3.130 \(\int (a+b x)^m (c+d x)^{-4-m} (e+f x) (g+h x) \, dx\)
 3.131 \(\int (a+b x)^m (c+d x)^{-5-m} (e+f x) (g+h x) \, dx\)
 3.132 \(\int (a+b x)^3 (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\)
 3.133 \(\int (a+b x)^2 (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\)
 3.134 \(\int (a+b x) (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\)
 3.135 \(\int (c+d x)^{-4-m} (e+f x)^m (g+h x) \, dx\)
 3.136 \(\int \frac{(A+B x) (c+d x)^n (e+f x)^p}{a+b x} \, dx\)
 3.137 \(\int \frac{(a+b x)^m (A+B x) (c+d x)^{-m}}{e+f x} \, dx\)
 3.138 \(\int \frac{(A+B x) (c+d x)^n (e+f x)^p}{\sqrt{a+b x}} \, dx\)
 3.139 \(\int (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^3 \, dx\)
 3.140 \(\int (a+b x)^m (c+d x)^n (e+f x)^p (g+h x)^2 \, dx\)
 3.141 \(\int (a+b x)^m (c+d x)^n (e+f x)^p (g+h x) \, dx\)
 3.142 \(\int (a+b x)^m (c+d x)^n (e+f x)^p \, dx\)
 3.143 \(\int \frac{(a+b x)^m (c+d x)^n (e+f x)^p}{g+h x} \, dx\)
 3.144 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-m-n} \, dx\)
 3.145 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-1-m-n} \, dx\)
 3.146 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-2-m-n} \, dx\)
 3.147 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-3-m-n} \, dx\)
 3.148 \(\int (a+b x)^m (A+B x) (c+d x)^n (e+f x)^{-4-m-n} \, dx\)
 3.149 \(\int \frac{x (a+b x+c x^2)}{\sqrt{1-d x} \sqrt{1+d x}} \, dx\)
 3.150 \(\int \frac{a+b x+c x^2}{\sqrt{1-d x} \sqrt{1+d x}} \, dx\)
 3.151 \(\int \frac{a+b x+c x^2}{x \sqrt{1-d x} \sqrt{1+d x}} \, dx\)
 3.152 \(\int \frac{a+b x+c x^2}{x^2 \sqrt{1-d x} \sqrt{1+d x}} \, dx\)
 3.153 \(\int \frac{a+b x+c x^2}{x^3 \sqrt{1-d x} \sqrt{1+d x}} \, dx\)
 3.154 \(\int \frac{x (a+b x+c x^2)}{\sqrt{-1+d x} \sqrt{1+d x}} \, dx\)
 3.155 \(\int \frac{a+b x+c x^2}{\sqrt{-1+d x} \sqrt{1+d x}} \, dx\)
 3.156 \(\int \frac{a+b x+c x^2}{x \sqrt{-1+d x} \sqrt{1+d x}} \, dx\)
 3.157 \(\int \frac{a+b x+c x^2}{x^2 \sqrt{-1+d x} \sqrt{1+d x}} \, dx\)
 3.158 \(\int \frac{a+b x+c x^2}{x^3 \sqrt{-1+d x} \sqrt{1+d x}} \, dx\)
 3.159 \(\int \frac{a+b x+c x^2}{x^4 \sqrt{-1+d x} \sqrt{1+d x}} \, dx\)