3.1 \(\int x^4 \cos ^{-1}(a x) \, dx\)
 3.2 \(\int x^3 \cos ^{-1}(a x) \, dx\)
 3.3 \(\int x^2 \cos ^{-1}(a x) \, dx\)
 3.4 \(\int x \cos ^{-1}(a x) \, dx\)
 3.5 \(\int \cos ^{-1}(a x) \, dx\)
 3.6 \(\int \frac{\cos ^{-1}(a x)}{x} \, dx\)
 3.7 \(\int \frac{\cos ^{-1}(a x)}{x^2} \, dx\)
 3.8 \(\int \frac{\cos ^{-1}(a x)}{x^3} \, dx\)
 3.9 \(\int \frac{\cos ^{-1}(a x)}{x^4} \, dx\)
 3.10 \(\int \frac{\cos ^{-1}(a x)}{x^5} \, dx\)
 3.11 \(\int \frac{\cos ^{-1}(a x)}{x^6} \, dx\)
 3.12 \(\int x^4 \cos ^{-1}(a x)^2 \, dx\)
 3.13 \(\int x^3 \cos ^{-1}(a x)^2 \, dx\)
 3.14 \(\int x^2 \cos ^{-1}(a x)^2 \, dx\)
 3.15 \(\int x \cos ^{-1}(a x)^2 \, dx\)
 3.16 \(\int \cos ^{-1}(a x)^2 \, dx\)
 3.17 \(\int \frac{\cos ^{-1}(a x)^2}{x} \, dx\)
 3.18 \(\int \frac{\cos ^{-1}(a x)^2}{x^2} \, dx\)
 3.19 \(\int \frac{\cos ^{-1}(a x)^2}{x^3} \, dx\)
 3.20 \(\int \frac{\cos ^{-1}(a x)^2}{x^4} \, dx\)
 3.21 \(\int \frac{\cos ^{-1}(a x)^2}{x^5} \, dx\)
 3.22 \(\int x^4 \cos ^{-1}(a x)^3 \, dx\)
 3.23 \(\int x^3 \cos ^{-1}(a x)^3 \, dx\)
 3.24 \(\int x^2 \cos ^{-1}(a x)^3 \, dx\)
 3.25 \(\int x \cos ^{-1}(a x)^3 \, dx\)
 3.26 \(\int \cos ^{-1}(a x)^3 \, dx\)
 3.27 \(\int \frac{\cos ^{-1}(a x)^3}{x} \, dx\)
 3.28 \(\int \frac{\cos ^{-1}(a x)^3}{x^2} \, dx\)
 3.29 \(\int \frac{\cos ^{-1}(a x)^3}{x^3} \, dx\)
 3.30 \(\int \frac{\cos ^{-1}(a x)^3}{x^4} \, dx\)
 3.31 \(\int \frac{\cos ^{-1}(a x)^3}{x^5} \, dx\)
 3.32 \(\int x^5 \cos ^{-1}(a x)^4 \, dx\)
 3.33 \(\int x^4 \cos ^{-1}(a x)^4 \, dx\)
 3.34 \(\int x^3 \cos ^{-1}(a x)^4 \, dx\)
 3.35 \(\int x^2 \cos ^{-1}(a x)^4 \, dx\)
 3.36 \(\int x \cos ^{-1}(a x)^4 \, dx\)
 3.37 \(\int \cos ^{-1}(a x)^4 \, dx\)
 3.38 \(\int \frac{\cos ^{-1}(a x)^4}{x} \, dx\)
 3.39 \(\int \frac{\cos ^{-1}(a x)^4}{x^2} \, dx\)
 3.40 \(\int \frac{\cos ^{-1}(a x)^4}{x^3} \, dx\)
 3.41 \(\int \frac{\cos ^{-1}(a x)^4}{x^4} \, dx\)
 3.42 \(\int \frac{x^6}{\cos ^{-1}(a x)} \, dx\)
 3.43 \(\int \frac{x^5}{\cos ^{-1}(a x)} \, dx\)
 3.44 \(\int \frac{x^4}{\cos ^{-1}(a x)} \, dx\)
 3.45 \(\int \frac{x^3}{\cos ^{-1}(a x)} \, dx\)
 3.46 \(\int \frac{x^2}{\cos ^{-1}(a x)} \, dx\)
 3.47 \(\int \frac{x}{\cos ^{-1}(a x)} \, dx\)
 3.48 \(\int \frac{1}{\cos ^{-1}(a x)} \, dx\)
 3.49 \(\int \frac{1}{x \cos ^{-1}(a x)} \, dx\)
 3.50 \(\int \frac{1}{x^2 \cos ^{-1}(a x)} \, dx\)
 3.51 \(\int \frac{x^6}{\cos ^{-1}(a x)^2} \, dx\)
 3.52 \(\int \frac{x^5}{\cos ^{-1}(a x)^2} \, dx\)
 3.53 \(\int \frac{x^4}{\cos ^{-1}(a x)^2} \, dx\)
 3.54 \(\int \frac{x^3}{\cos ^{-1}(a x)^2} \, dx\)
 3.55 \(\int \frac{x^2}{\cos ^{-1}(a x)^2} \, dx\)
 3.56 \(\int \frac{x}{\cos ^{-1}(a x)^2} \, dx\)
 3.57 \(\int \frac{1}{\cos ^{-1}(a x)^2} \, dx\)
 3.58 \(\int \frac{1}{x \cos ^{-1}(a x)^2} \, dx\)
 3.59 \(\int \frac{1}{x^2 \cos ^{-1}(a x)^2} \, dx\)
 3.60 \(\int \frac{x^4}{\cos ^{-1}(a x)^3} \, dx\)
 3.61 \(\int \frac{x^3}{\cos ^{-1}(a x)^3} \, dx\)
 3.62 \(\int \frac{x^2}{\cos ^{-1}(a x)^3} \, dx\)
 3.63 \(\int \frac{x}{\cos ^{-1}(a x)^3} \, dx\)
 3.64 \(\int \frac{1}{\cos ^{-1}(a x)^3} \, dx\)
 3.65 \(\int \frac{1}{x \cos ^{-1}(a x)^3} \, dx\)
 3.66 \(\int \frac{1}{x^2 \cos ^{-1}(a x)^3} \, dx\)
 3.67 \(\int \frac{x^4}{\cos ^{-1}(a x)^4} \, dx\)
 3.68 \(\int \frac{x^3}{\cos ^{-1}(a x)^4} \, dx\)
 3.69 \(\int \frac{x^2}{\cos ^{-1}(a x)^4} \, dx\)
 3.70 \(\int \frac{x}{\cos ^{-1}(a x)^4} \, dx\)
 3.71 \(\int \frac{1}{\cos ^{-1}(a x)^4} \, dx\)
 3.72 \(\int \frac{1}{x \cos ^{-1}(a x)^4} \, dx\)
 3.73 \(\int \frac{1}{x^2 \cos ^{-1}(a x)^4} \, dx\)
 3.74 \(\int x^4 \sqrt{\cos ^{-1}(a x)} \, dx\)
 3.75 \(\int x^3 \sqrt{\cos ^{-1}(a x)} \, dx\)
 3.76 \(\int x^2 \sqrt{\cos ^{-1}(a x)} \, dx\)
 3.77 \(\int x \sqrt{\cos ^{-1}(a x)} \, dx\)
 3.78 \(\int \sqrt{\cos ^{-1}(a x)} \, dx\)
 3.79 \(\int \frac{\sqrt{\cos ^{-1}(a x)}}{x} \, dx\)
 3.80 \(\int x^4 \cos ^{-1}(a x)^{3/2} \, dx\)
 3.81 \(\int x^3 \cos ^{-1}(a x)^{3/2} \, dx\)
 3.82 \(\int x^2 \cos ^{-1}(a x)^{3/2} \, dx\)
 3.83 \(\int x \cos ^{-1}(a x)^{3/2} \, dx\)
 3.84 \(\int \cos ^{-1}(a x)^{3/2} \, dx\)
 3.85 \(\int \frac{\cos ^{-1}(a x)^{3/2}}{x} \, dx\)
 3.86 \(\int x^4 \cos ^{-1}(a x)^{5/2} \, dx\)
 3.87 \(\int x^3 \cos ^{-1}(a x)^{5/2} \, dx\)
 3.88 \(\int x^2 \cos ^{-1}(a x)^{5/2} \, dx\)
 3.89 \(\int x \cos ^{-1}(a x)^{5/2} \, dx\)
 3.90 \(\int \cos ^{-1}(a x)^{5/2} \, dx\)
 3.91 \(\int \frac{\cos ^{-1}(a x)^{5/2}}{x} \, dx\)
 3.92 \(\int \frac{x^4}{\sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.93 \(\int \frac{x^3}{\sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.94 \(\int \frac{x^2}{\sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.95 \(\int \frac{x}{\sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.96 \(\int \frac{1}{\sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.97 \(\int \frac{1}{x \sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.98 \(\int \frac{1}{x^2 \sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.99 \(\int \frac{x^6}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.100 \(\int \frac{x^5}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.101 \(\int \frac{x^4}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.102 \(\int \frac{x^3}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.103 \(\int \frac{x^2}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.104 \(\int \frac{x}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.105 \(\int \frac{1}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.106 \(\int \frac{1}{x \cos ^{-1}(a x)^{3/2}} \, dx\)
 3.107 \(\int \frac{x^4}{\cos ^{-1}(a x)^{5/2}} \, dx\)
 3.108 \(\int \frac{x^3}{\cos ^{-1}(a x)^{5/2}} \, dx\)
 3.109 \(\int \frac{x^2}{\cos ^{-1}(a x)^{5/2}} \, dx\)
 3.110 \(\int \frac{x}{\cos ^{-1}(a x)^{5/2}} \, dx\)
 3.111 \(\int \frac{1}{\cos ^{-1}(a x)^{5/2}} \, dx\)
 3.112 \(\int \frac{1}{x \cos ^{-1}(a x)^{5/2}} \, dx\)
 3.113 \(\int \frac{x^4}{\cos ^{-1}(a x)^{7/2}} \, dx\)
 3.114 \(\int \frac{x^3}{\cos ^{-1}(a x)^{7/2}} \, dx\)
 3.115 \(\int \frac{x^2}{\cos ^{-1}(a x)^{7/2}} \, dx\)
 3.116 \(\int \frac{x}{\cos ^{-1}(a x)^{7/2}} \, dx\)
 3.117 \(\int \frac{1}{\cos ^{-1}(a x)^{7/2}} \, dx\)
 3.118 \(\int \frac{1}{x \cos ^{-1}(a x)^{7/2}} \, dx\)
 3.119 \(\int (b x)^m \cos ^{-1}(a x)^4 \, dx\)
 3.120 \(\int (b x)^m \cos ^{-1}(a x)^3 \, dx\)
 3.121 \(\int (b x)^m \cos ^{-1}(a x)^2 \, dx\)
 3.122 \(\int (b x)^m \cos ^{-1}(a x) \, dx\)
 3.123 \(\int \frac{(b x)^m}{\cos ^{-1}(a x)} \, dx\)
 3.124 \(\int \frac{(b x)^m}{\cos ^{-1}(a x)^2} \, dx\)
 3.125 \(\int (b x)^m \cos ^{-1}(a x)^{3/2} \, dx\)
 3.126 \(\int (b x)^m \sqrt{\cos ^{-1}(a x)} \, dx\)
 3.127 \(\int \frac{(b x)^m}{\sqrt{\cos ^{-1}(a x)}} \, dx\)
 3.128 \(\int \frac{(b x)^m}{\cos ^{-1}(a x)^{3/2}} \, dx\)
 3.129 \(\int (b x)^m \cos ^{-1}(a x)^n \, dx\)
 3.130 \(\int x^3 \cos ^{-1}(a x)^n \, dx\)
 3.131 \(\int x^2 \cos ^{-1}(a x)^n \, dx\)
 3.132 \(\int x \cos ^{-1}(a x)^n \, dx\)
 3.133 \(\int \cos ^{-1}(a x)^n \, dx\)
 3.134 \(\int \frac{\cos ^{-1}(a x)^n}{x} \, dx\)
 3.135 \(\int \frac{\cos ^{-1}(a x)^n}{x^2} \, dx\)
 3.136 \(\int (b x)^{3/2} \cos ^{-1}(a x)^n \, dx\)
 3.137 \(\int \sqrt{b x} \cos ^{-1}(a x)^n \, dx\)
 3.138 \(\int \frac{\cos ^{-1}(a x)^n}{\sqrt{b x}} \, dx\)
 3.139 \(\int \frac{\cos ^{-1}(a x)^n}{(b x)^{3/2}} \, dx\)
 3.140 \(\int x^3 (a+b \cos ^{-1}(c x)) \, dx\)
 3.141 \(\int x^2 (a+b \cos ^{-1}(c x)) \, dx\)
 3.142 \(\int x (a+b \cos ^{-1}(c x)) \, dx\)
 3.143 \(\int (a+b \cos ^{-1}(c x)) \, dx\)
 3.144 \(\int \frac{a+b \cos ^{-1}(c x)}{x} \, dx\)
 3.145 \(\int \frac{a+b \cos ^{-1}(c x)}{x^2} \, dx\)
 3.146 \(\int \frac{a+b \cos ^{-1}(c x)}{x^3} \, dx\)
 3.147 \(\int \frac{a+b \cos ^{-1}(c x)}{x^4} \, dx\)
 3.148 \(\int x^2 (a+b \cos ^{-1}(c x))^2 \, dx\)
 3.149 \(\int x (a+b \cos ^{-1}(c x))^2 \, dx\)
 3.150 \(\int (a+b \cos ^{-1}(c x))^2 \, dx\)
 3.151 \(\int \frac{(a+b \cos ^{-1}(c x))^2}{x} \, dx\)
 3.152 \(\int \frac{(a+b \cos ^{-1}(c x))^2}{x^2} \, dx\)
 3.153 \(\int x^2 (a+b \cos ^{-1}(c x))^3 \, dx\)
 3.154 \(\int x (a+b \cos ^{-1}(c x))^3 \, dx\)
 3.155 \(\int (a+b \cos ^{-1}(c x))^3 \, dx\)
 3.156 \(\int \frac{(a+b \cos ^{-1}(c x))^3}{x} \, dx\)
 3.157 \(\int \frac{(a+b \cos ^{-1}(c x))^3}{x^2} \, dx\)
 3.158 \(\int \frac{x^2}{a+b \cos ^{-1}(c x)} \, dx\)
 3.159 \(\int \frac{x}{a+b \cos ^{-1}(c x)} \, dx\)
 3.160 \(\int \frac{1}{a+b \cos ^{-1}(c x)} \, dx\)
 3.161 \(\int \frac{1}{x (a+b \cos ^{-1}(c x))} \, dx\)
 3.162 \(\int \frac{1}{x^2 (a+b \cos ^{-1}(c x))} \, dx\)
 3.163 \(\int \frac{x^2}{(a+b \cos ^{-1}(c x))^2} \, dx\)
 3.164 \(\int \frac{x}{(a+b \cos ^{-1}(c x))^2} \, dx\)
 3.165 \(\int \frac{1}{(a+b \cos ^{-1}(c x))^2} \, dx\)
 3.166 \(\int \frac{1}{x (a+b \cos ^{-1}(c x))^2} \, dx\)
 3.167 \(\int \frac{1}{x^2 (a+b \cos ^{-1}(c x))^2} \, dx\)
 3.168 \(\int \frac{x^2}{(a+b \cos ^{-1}(c x))^3} \, dx\)
 3.169 \(\int \frac{x}{(a+b \cos ^{-1}(c x))^3} \, dx\)
 3.170 \(\int \frac{1}{(a+b \cos ^{-1}(c x))^3} \, dx\)
 3.171 \(\int \frac{1}{x (a+b \cos ^{-1}(c x))^3} \, dx\)
 3.172 \(\int \frac{1}{x^2 (a+b \cos ^{-1}(c x))^3} \, dx\)
 3.173 \(\int x^2 \sqrt{a+b \cos ^{-1}(c x)} \, dx\)
 3.174 \(\int x \sqrt{a+b \cos ^{-1}(c x)} \, dx\)
 3.175 \(\int \sqrt{a+b \cos ^{-1}(c x)} \, dx\)
 3.176 \(\int \frac{\sqrt{a+b \cos ^{-1}(c x)}}{x} \, dx\)
 3.177 \(\int \frac{\sqrt{a+b \cos ^{-1}(c x)}}{x^2} \, dx\)
 3.178 \(\int x^2 (a+b \cos ^{-1}(c x))^{3/2} \, dx\)
 3.179 \(\int x (a+b \cos ^{-1}(c x))^{3/2} \, dx\)
 3.180 \(\int (a+b \cos ^{-1}(c x))^{3/2} \, dx\)
 3.181 \(\int \frac{(a+b \cos ^{-1}(c x))^{3/2}}{x} \, dx\)
 3.182 \(\int \frac{(a+b \cos ^{-1}(c x))^{3/2}}{x^2} \, dx\)
 3.183 \(\int x^2 (a+b \cos ^{-1}(c x))^{5/2} \, dx\)
 3.184 \(\int x (a+b \cos ^{-1}(c x))^{5/2} \, dx\)
 3.185 \(\int (a+b \cos ^{-1}(c x))^{5/2} \, dx\)
 3.186 \(\int \frac{(a+b \cos ^{-1}(c x))^{5/2}}{x} \, dx\)
 3.187 \(\int \frac{(a+b \cos ^{-1}(c x))^{5/2}}{x^2} \, dx\)
 3.188 \(\int \frac{x^2}{\sqrt{a+b \cos ^{-1}(c x)}} \, dx\)
 3.189 \(\int \frac{x}{\sqrt{a+b \cos ^{-1}(c x)}} \, dx\)
 3.190 \(\int \frac{1}{\sqrt{a+b \cos ^{-1}(c x)}} \, dx\)
 3.191 \(\int \frac{1}{x \sqrt{a+b \cos ^{-1}(c x)}} \, dx\)
 3.192 \(\int \frac{1}{x^2 \sqrt{a+b \cos ^{-1}(c x)}} \, dx\)
 3.193 \(\int \frac{x^2}{(a+b \cos ^{-1}(c x))^{3/2}} \, dx\)
 3.194 \(\int \frac{x}{(a+b \cos ^{-1}(c x))^{3/2}} \, dx\)
 3.195 \(\int \frac{1}{(a+b \cos ^{-1}(c x))^{3/2}} \, dx\)
 3.196 \(\int \frac{1}{x (a+b \cos ^{-1}(c x))^{3/2}} \, dx\)
 3.197 \(\int \frac{1}{x^2 (a+b \cos ^{-1}(c x))^{3/2}} \, dx\)
 3.198 \(\int \frac{x^2}{(a+b \cos ^{-1}(c x))^{5/2}} \, dx\)
 3.199 \(\int \frac{x}{(a+b \cos ^{-1}(c x))^{5/2}} \, dx\)
 3.200 \(\int \frac{1}{(a+b \cos ^{-1}(c x))^{5/2}} \, dx\)
 3.201 \(\int \frac{1}{x (a+b \cos ^{-1}(c x))^{5/2}} \, dx\)
 3.202 \(\int \frac{1}{x^2 (a+b \cos ^{-1}(c x))^{5/2}} \, dx\)
 3.203 \(\int (d x)^{5/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.204 \(\int (d x)^{3/2} (a+b \cos ^{-1}(c x)) \, dx\)
 3.205 \(\int \sqrt{d x} (a+b \cos ^{-1}(c x)) \, dx\)
 3.206 \(\int \frac{a+b \cos ^{-1}(c x)}{\sqrt{d x}} \, dx\)
 3.207 \(\int \frac{a+b \cos ^{-1}(c x)}{(d x)^{3/2}} \, dx\)
 3.208 \(\int \frac{a+b \cos ^{-1}(c x)}{(d x)^{5/2}} \, dx\)
 3.209 \(\int (d x)^{5/2} (a+b \cos ^{-1}(c x))^2 \, dx\)
 3.210 \(\int (d x)^{3/2} (a+b \cos ^{-1}(c x))^2 \, dx\)
 3.211 \(\int \sqrt{d x} (a+b \cos ^{-1}(c x))^2 \, dx\)
 3.212 \(\int \frac{(a+b \cos ^{-1}(c x))^2}{\sqrt{d x}} \, dx\)
 3.213 \(\int \frac{(a+b \cos ^{-1}(c x))^2}{(d x)^{3/2}} \, dx\)
 3.214 \(\int \frac{(a+b \cos ^{-1}(c x))^2}{(d x)^{5/2}} \, dx\)
 3.215 \(\int (d x)^{3/2} (a+b \cos ^{-1}(c x))^3 \, dx\)
 3.216 \(\int \sqrt{d x} (a+b \cos ^{-1}(c x))^3 \, dx\)
 3.217 \(\int \frac{(a+b \cos ^{-1}(c x))^3}{\sqrt{d x}} \, dx\)
 3.218 \(\int \frac{(a+b \cos ^{-1}(c x))^3}{(d x)^{3/2}} \, dx\)
 3.219 \(\int \frac{(a+b \cos ^{-1}(c x))^3}{(d x)^{5/2}} \, dx\)
 3.220 \(\int \frac{(d x)^{3/2}}{a+b \cos ^{-1}(c x)} \, dx\)
 3.221 \(\int \frac{\sqrt{d x}}{a+b \cos ^{-1}(c x)} \, dx\)
 3.222 \(\int \frac{1}{\sqrt{d x} (a+b \cos ^{-1}(c x))} \, dx\)
 3.223 \(\int \frac{1}{(d x)^{3/2} (a+b \cos ^{-1}(c x))} \, dx\)
 3.224 \(\int \frac{(d x)^{3/2}}{(a+b \cos ^{-1}(c x))^2} \, dx\)
 3.225 \(\int \frac{\sqrt{d x}}{(a+b \cos ^{-1}(c x))^2} \, dx\)
 3.226 \(\int \frac{1}{\sqrt{d x} (a+b \cos ^{-1}(c x))^2} \, dx\)
 3.227 \(\int \frac{1}{(d x)^{3/2} (a+b \cos ^{-1}(c x))^2} \, dx\)