3.1 \(\int x^5 (a+b \tan ^{-1}(c x)) \, dx\)
 3.2 \(\int x^4 (a+b \tan ^{-1}(c x)) \, dx\)
 3.3 \(\int x^3 (a+b \tan ^{-1}(c x)) \, dx\)
 3.4 \(\int x^2 (a+b \tan ^{-1}(c x)) \, dx\)
 3.5 \(\int x (a+b \tan ^{-1}(c x)) \, dx\)
 3.6 \(\int (a+b \tan ^{-1}(c x)) \, dx\)
 3.7 \(\int \frac{a+b \tan ^{-1}(c x)}{x} \, dx\)
 3.8 \(\int \frac{a+b \tan ^{-1}(c x)}{x^2} \, dx\)
 3.9 \(\int \frac{a+b \tan ^{-1}(c x)}{x^3} \, dx\)
 3.10 \(\int \frac{a+b \tan ^{-1}(c x)}{x^4} \, dx\)
 3.11 \(\int \frac{a+b \tan ^{-1}(c x)}{x^5} \, dx\)
 3.12 \(\int \frac{a+b \tan ^{-1}(c x)}{x^6} \, dx\)
 3.13 \(\int x^5 (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.14 \(\int x^4 (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.15 \(\int x^3 (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.16 \(\int x^2 (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.17 \(\int x (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.18 \(\int (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.19 \(\int \frac{(a+b \tan ^{-1}(c x))^2}{x} \, dx\)
 3.20 \(\int \frac{(a+b \tan ^{-1}(c x))^2}{x^2} \, dx\)
 3.21 \(\int \frac{(a+b \tan ^{-1}(c x))^2}{x^3} \, dx\)
 3.22 \(\int \frac{(a+b \tan ^{-1}(c x))^2}{x^4} \, dx\)
 3.23 \(\int \frac{(a+b \tan ^{-1}(c x))^2}{x^5} \, dx\)
 3.24 \(\int x^5 (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.25 \(\int x^4 (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.26 \(\int x^3 (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.27 \(\int x^2 (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.28 \(\int x (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.29 \(\int (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.30 \(\int \frac{(a+b \tan ^{-1}(c x))^3}{x} \, dx\)
 3.31 \(\int \frac{(a+b \tan ^{-1}(c x))^3}{x^2} \, dx\)
 3.32 \(\int \frac{(a+b \tan ^{-1}(c x))^3}{x^3} \, dx\)
 3.33 \(\int \frac{(a+b \tan ^{-1}(c x))^3}{x^4} \, dx\)
 3.34 \(\int \frac{(a+b \tan ^{-1}(c x))^3}{x^5} \, dx\)
 3.35 \(\int \frac{x}{\tan ^{-1}(a x)} \, dx\)
 3.36 \(\int \frac{1}{\tan ^{-1}(a x)} \, dx\)
 3.37 \(\int \frac{1}{x \tan ^{-1}(a x)} \, dx\)
 3.38 \(\int \frac{x}{\tan ^{-1}(a x)^2} \, dx\)
 3.39 \(\int \frac{1}{\tan ^{-1}(a x)^2} \, dx\)
 3.40 \(\int \frac{1}{x \tan ^{-1}(a x)^2} \, dx\)
 3.41 \(\int x \sqrt{\tan ^{-1}(a x)} \, dx\)
 3.42 \(\int \sqrt{\tan ^{-1}(a x)} \, dx\)
 3.43 \(\int \frac{\sqrt{\tan ^{-1}(a x)}}{x} \, dx\)
 3.44 \(\int x \tan ^{-1}(a x)^{3/2} \, dx\)
 3.45 \(\int \tan ^{-1}(a x)^{3/2} \, dx\)
 3.46 \(\int \frac{\tan ^{-1}(a x)^{3/2}}{x} \, dx\)
 3.47 \(\int \frac{x}{\sqrt{\tan ^{-1}(a x)}} \, dx\)
 3.48 \(\int \frac{1}{\sqrt{\tan ^{-1}(a x)}} \, dx\)
 3.49 \(\int \frac{1}{x \sqrt{\tan ^{-1}(a x)}} \, dx\)
 3.50 \(\int \frac{x}{\tan ^{-1}(a x)^{3/2}} \, dx\)
 3.51 \(\int \frac{1}{\tan ^{-1}(a x)^{3/2}} \, dx\)
 3.52 \(\int \frac{1}{x \tan ^{-1}(a x)^{3/2}} \, dx\)
 3.53 \(\int \sqrt{x} \tan ^{-1}(x) \, dx\)
 3.54 \(\int (d x)^m (a+b \tan ^{-1}(c x))^3 \, dx\)
 3.55 \(\int (d x)^m (a+b \tan ^{-1}(c x))^2 \, dx\)
 3.56 \(\int (d x)^m (a+b \tan ^{-1}(c x)) \, dx\)
 3.57 \(\int \frac{(d x)^m}{a+b \tan ^{-1}(c x)} \, dx\)
 3.58 \(\int (a+b \tan ^{-1}(c x))^p \, dx\)
 3.59 \(\int (d x)^m (a+b \tan ^{-1}(c x))^p \, dx\)
 3.60 \(\int x^7 (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.61 \(\int x^5 (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.62 \(\int x^3 (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.63 \(\int x (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.64 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x} \, dx\)
 3.65 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x^3} \, dx\)
 3.66 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x^5} \, dx\)
 3.67 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x^7} \, dx\)
 3.68 \(\int x^4 (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.69 \(\int x^2 (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.70 \(\int (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.71 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x^2} \, dx\)
 3.72 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x^4} \, dx\)
 3.73 \(\int \frac{a+b \tan ^{-1}(c x^2)}{x^6} \, dx\)
 3.74 \(\int x^7 (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.75 \(\int x^5 (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.76 \(\int x^3 (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.77 \(\int x (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.78 \(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{x} \, dx\)
 3.79 \(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{x^3} \, dx\)
 3.80 \(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{x^5} \, dx\)
 3.81 \(\int x^2 (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.82 \(\int (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.83 \(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{x^2} \, dx\)
 3.84 \(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{x^4} \, dx\)
 3.85 \(\int \frac{(a+b \tan ^{-1}(c x^2))^2}{x^6} \, dx\)
 3.86 \(\int x^3 (a+b \tan ^{-1}(c x^2))^3 \, dx\)
 3.87 \(\int x (a+b \tan ^{-1}(c x^2))^3 \, dx\)
 3.88 \(\int \frac{(a+b \tan ^{-1}(c x^2))^3}{x} \, dx\)
 3.89 \(\int \frac{(a+b \tan ^{-1}(c x^2))^3}{x^3} \, dx\)
 3.90 \(\int \frac{(a+b \tan ^{-1}(c x^2))^3}{x^5} \, dx\)
 3.91 \(\int (d x)^m (a+b \tan ^{-1}(c x^2))^3 \, dx\)
 3.92 \(\int (d x)^m (a+b \tan ^{-1}(c x^2))^2 \, dx\)
 3.93 \(\int (d x)^m (a+b \tan ^{-1}(c x^2)) \, dx\)
 3.94 \(\int \frac{(d x)^m}{a+b \tan ^{-1}(c x^2)} \, dx\)
 3.95 \(\int \frac{(d x)^m}{(a+b \tan ^{-1}(c x^2))^2} \, dx\)
 3.96 \(\int x^{11} (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.97 \(\int x^8 (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.98 \(\int x^5 (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.99 \(\int x^2 (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.100 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x} \, dx\)
 3.101 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^4} \, dx\)
 3.102 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^7} \, dx\)
 3.103 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^{10}} \, dx\)
 3.104 \(\int x^3 (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.105 \(\int (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.106 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^3} \, dx\)
 3.107 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^6} \, dx\)
 3.108 \(\int x^7 (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.109 \(\int x^4 (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.110 \(\int x (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.111 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^2} \, dx\)
 3.112 \(\int \frac{a+b \tan ^{-1}(c x^3)}{x^5} \, dx\)
 3.113 \(\int x^{11} (a+b \tan ^{-1}(c x^3))^2 \, dx\)
 3.114 \(\int x^8 (a+b \tan ^{-1}(c x^3))^2 \, dx\)
 3.115 \(\int x^5 (a+b \tan ^{-1}(c x^3))^2 \, dx\)
 3.116 \(\int x^2 (a+b \tan ^{-1}(c x^3))^2 \, dx\)
 3.117 \(\int \frac{(a+b \tan ^{-1}(c x^3))^2}{x} \, dx\)
 3.118 \(\int \frac{(a+b \tan ^{-1}(c x^3))^2}{x^4} \, dx\)
 3.119 \(\int \frac{(a+b \tan ^{-1}(c x^3))^2}{x^7} \, dx\)
 3.120 \(\int \frac{(a+b \tan ^{-1}(c x^3))^2}{x^{10}} \, dx\)
 3.121 \(\int x^8 (a+b \tan ^{-1}(c x^3))^3 \, dx\)
 3.122 \(\int x^5 (a+b \tan ^{-1}(c x^3))^3 \, dx\)
 3.123 \(\int x^2 (a+b \tan ^{-1}(c x^3))^3 \, dx\)
 3.124 \(\int \frac{(a+b \tan ^{-1}(c x^3))^3}{x} \, dx\)
 3.125 \(\int \frac{(a+b \tan ^{-1}(c x^3))^3}{x^4} \, dx\)
 3.126 \(\int \frac{(a+b \tan ^{-1}(c x^3))^3}{x^7} \, dx\)
 3.127 \(\int (d x)^m (a+b \tan ^{-1}(c x^3))^3 \, dx\)
 3.128 \(\int (d x)^m (a+b \tan ^{-1}(c x^3))^2 \, dx\)
 3.129 \(\int (d x)^m (a+b \tan ^{-1}(c x^3)) \, dx\)
 3.130 \(\int \frac{(d x)^m}{a+b \tan ^{-1}(c x^3)} \, dx\)
 3.131 \(\int \frac{(d x)^m}{(a+b \tan ^{-1}(c x^3))^2} \, dx\)
 3.132 \(\int x^3 (a+b \tan ^{-1}(\frac{c}{x})) \, dx\)
 3.133 \(\int x^2 (a+b \tan ^{-1}(\frac{c}{x})) \, dx\)
 3.134 \(\int x (a+b \tan ^{-1}(\frac{c}{x})) \, dx\)
 3.135 \(\int (a+b \tan ^{-1}(\frac{c}{x})) \, dx\)
 3.136 \(\int \frac{a+b \tan ^{-1}(\frac{c}{x})}{x} \, dx\)
 3.137 \(\int \frac{a+b \tan ^{-1}(\frac{c}{x})}{x^2} \, dx\)
 3.138 \(\int \frac{a+b \tan ^{-1}(\frac{c}{x})}{x^3} \, dx\)
 3.139 \(\int \frac{a+b \tan ^{-1}(\frac{c}{x})}{x^4} \, dx\)
 3.140 \(\int x^3 (a+b \tan ^{-1}(\frac{c}{x}))^2 \, dx\)
 3.141 \(\int x^2 (a+b \tan ^{-1}(\frac{c}{x}))^2 \, dx\)
 3.142 \(\int x (a+b \tan ^{-1}(\frac{c}{x}))^2 \, dx\)
 3.143 \(\int (a+b \tan ^{-1}(\frac{c}{x}))^2 \, dx\)
 3.144 \(\int \frac{(a+b \tan ^{-1}(\frac{c}{x}))^2}{x} \, dx\)
 3.145 \(\int \frac{(a+b \tan ^{-1}(\frac{c}{x}))^2}{x^2} \, dx\)
 3.146 \(\int \frac{(a+b \tan ^{-1}(\frac{c}{x}))^2}{x^3} \, dx\)
 3.147 \(\int x^3 (a+b \tan ^{-1}(\frac{c}{x}))^3 \, dx\)
 3.148 \(\int x^2 (a+b \tan ^{-1}(\frac{c}{x}))^3 \, dx\)
 3.149 \(\int x (a+b \tan ^{-1}(\frac{c}{x}))^3 \, dx\)
 3.150 \(\int (a+b \tan ^{-1}(\frac{c}{x}))^3 \, dx\)
 3.151 \(\int \frac{(a+b \tan ^{-1}(\frac{c}{x}))^3}{x} \, dx\)
 3.152 \(\int \frac{(a+b \tan ^{-1}(\frac{c}{x}))^3}{x^2} \, dx\)
 3.153 \(\int \frac{(a+b \tan ^{-1}(\frac{c}{x}))^3}{x^3} \, dx\)
 3.154 \(\int x^2 \tan ^{-1}(\sqrt{x}) \, dx\)
 3.155 \(\int x \tan ^{-1}(\sqrt{x}) \, dx\)
 3.156 \(\int \tan ^{-1}(\sqrt{x}) \, dx\)
 3.157 \(\int \frac{\tan ^{-1}(\sqrt{x})}{x} \, dx\)
 3.158 \(\int \frac{\tan ^{-1}(\sqrt{x})}{x^2} \, dx\)
 3.159 \(\int \frac{\tan ^{-1}(\sqrt{x})}{x^3} \, dx\)
 3.160 \(\int x^{3/2} \tan ^{-1}(\sqrt{x}) \, dx\)
 3.161 \(\int \sqrt{x} \tan ^{-1}(\sqrt{x}) \, dx\)
 3.162 \(\int \frac{\tan ^{-1}(\sqrt{x})}{\sqrt{x}} \, dx\)
 3.163 \(\int \frac{\tan ^{-1}(\sqrt{x})}{x^{3/2}} \, dx\)
 3.164 \(\int \frac{\tan ^{-1}(\sqrt{x})}{x^{5/2}} \, dx\)
 3.165 \(\int \frac{\tan ^{-1}(a x^5)}{x} \, dx\)
 3.166 \(\int \frac{\tan ^{-1}(a x^n)}{x} \, dx\)