3.1 \(\int \frac{1}{a^2-b^2 x^2} \, dx\)
 3.2 \(\int \frac{1}{a^2+b^2 x^2} \, dx\)
 3.3 \(\int \sec (2 a x) \, dx\)
 3.4 \(\int \frac{1}{4} \csc (\frac{x}{3}) \, dx\)
 3.5 \(\int -\sec (\frac{\pi }{4}+2 x) \, dx\)
 3.6 \(\int \sec (x) \tan (x) \, dx\)
 3.7 \(\int \cot (x) \csc (x) \, dx\)
 3.8 \(\int \csc (2 x) \tan (x) \, dx\)
 3.9 \(\int \frac{1}{1+\cos (x)} \, dx\)
 3.10 \(\int \frac{1}{1-\cos (x)} \, dx\)
 3.11 \(\int \frac{\sin (x)}{a-b \cos (x)} \, dx\)
 3.12 \(\int \frac{\cos (x)}{a^2+b^2 \sin ^2(x)} \, dx\)
 3.13 \(\int \frac{\cos (x)}{a^2-b^2 \sin ^2(x)} \, dx\)
 3.14 \(\int \frac{\sin (2 x)}{a^2+b^2 \sin ^2(x)} \, dx\)
 3.15 \(\int \frac{\sin (2 x)}{a^2-b^2 \sin ^2(x)} \, dx\)
 3.16 \(\int \frac{\sin (2 x)}{a^2+b^2 \cos ^2(x)} \, dx\)
 3.17 \(\int \frac{\sin (2 x)}{a^2-b^2 \cos ^2(x)} \, dx\)
 3.18 \(\int \frac{1}{4-\cos ^2(x)} \, dx\)
 3.19 \(\int \frac{e^x}{-1+e^{2 x}} \, dx\)
 3.20 \(\int \frac{1}{x \log (x)} \, dx\)
 3.21 \(\int \frac{1}{x (1+\log ^2(x))} \, dx\)
 3.22 \(\int \frac{1}{x (1-\log (x))} \, dx\)
 3.23 \(\int \frac{1}{x (1+\log (\frac{x}{a}))} \, dx\)
 3.24 \(\int \frac{(1-\sqrt{x}+x)^2}{x^2} \, dx\)
 3.25 \(\int \frac{(2-x^{2/3}) (\sqrt{x}+x)}{x^{3/2}} \, dx\)
 3.26 \(\int \frac{-1+2 x}{3+2 x} \, dx\)
 3.27 \(\int \frac{-5+2 x}{-2+3 x^2} \, dx\)
 3.28 \(\int \frac{-5+2 x}{2+3 x^2} \, dx\)
 3.29 \(\int \sin (\frac{x}{4}) \sin (x) \, dx\)
 3.30 \(\int \cos (3 x) \cos (4 x) \, dx\)
 3.31 \(\int -\tan (a-x) \tan (x) \, dx\)
 3.32 \(\int \sin ^2(x) \, dx\)
 3.33 \(\int \cos ^2(x) \, dx\)
 3.34 \(\int \cos ^3(x) \sin (x) \, dx\)
 3.35 \(\int \cot ^3(x) \csc (x) \, dx\)
 3.36 \(\int \csc ^2(x) \sec ^2(x) \, dx\)
 3.37 \(\int \cot ^2(\frac{3 x}{4}) \, dx\)
 3.38 \(\int (1+\tan (2 x))^2 \, dx\)
 3.39 \(\int (-\cot (x)+\tan (x))^2 \, dx\)
 3.40 \(\int (-\sec (x)+\tan (x))^2 \, dx\)
 3.41 \(\int \frac{\sin (x)}{1+\sin (x)} \, dx\)
 3.42 \(\int \frac{\cos (x)}{1-\cos (x)} \, dx\)
 3.43 \(\int e^{-x/2} (-1+e^{x/2})^3 \, dx\)
 3.44 \(\int \frac{1}{5-6 x+x^2} \, dx\)
 3.45 \(\int \frac{x^2}{13-6 x^3+x^6} \, dx\)
 3.46 \(\int \frac{2+x}{-1-4 x+x^2} \, dx\)
 3.47 \(\int \frac{1}{1+\sqrt [3]{1+x}} \, dx\)
 3.48 \(\int \frac{1}{\sqrt{x} (b+a x)} \, dx\)
 3.49 \(\int x^3 \sqrt{1+x^2} \, dx\)
 3.50 \(\int \frac{x}{\sqrt{a^4-x^4}} \, dx\)
 3.51 \(\int \frac{1}{x \sqrt{-a^2+x^2}} \, dx\)
 3.52 \(\int \frac{1}{x \sqrt{a^2-x^2}} \, dx\)
 3.53 \(\int \frac{1}{x \sqrt{a^2+x^2}} \, dx\)
 3.54 \(\int \frac{1}{\sqrt{2+x-x^2}} \, dx\)
 3.55 \(\int \frac{1}{\sqrt{5-4 x+3 x^2}} \, dx\)
 3.56 \(\int \frac{1}{\sqrt{x-x^2}} \, dx\)
 3.57 \(\int \frac{1+2 x}{\sqrt{2+x-x^2}} \, dx\)
 3.58 \(\int \frac{1}{x \sqrt{2+x-x^2}} \, dx\)
 3.59 \(\int \frac{1}{(-2+x) \sqrt{2+x-x^2}} \, dx\)
 3.60 \(\int \frac{\csc (x) (2+3 \sin (x))}{1-\cos (x)} \, dx\)
 3.61 \(\int \frac{1}{2+3 \cos ^2(x)} \, dx\)
 3.62 \(\int \csc (2 x) (1-\tan (x)) \, dx\)
 3.63 \(\int \frac{1+\tan ^2(x)}{1-\tan ^2(x)} \, dx\)
 3.64 \(\int (a^2-4 \cos ^2(x))^{3/4} \sin (2 x) \, dx\)
 3.65 \(\int \frac{\sin (2 x)}{\sqrt [3]{a^2-4 \sin ^2(x)}} \, dx\)
 3.66 \(\int \frac{1}{\sqrt{-1+a^{2 x}}} \, dx\)
 3.67 \(\int \frac{e^{x/2}}{\sqrt{-1+e^x}} \, dx\)
 3.68 \(\int \frac{\tan ^{-1}(x)^n}{1+x^2} \, dx\)
 3.69 \(\int \frac{\sin ^{-1}(\frac{x}{a})^{3/2}}{\sqrt{a^2-x^2}} \, dx\)
 3.70 \(\int \frac{1}{\sqrt{1-x^2} \cos ^{-1}(x)^3} \, dx\)
 3.71 \(\int x \log ^2(x) \, dx\)
 3.72 \(\int \frac{\log (x)}{x^5} \, dx\)
 3.73 \(\int x^2 \log (\frac{-1+x}{x}) \, dx\)
 3.74 \(\int \cos ^5(x) \, dx\)
 3.75 \(\int \cos ^4(x) \sin ^2(x) \, dx\)
 3.76 \(\int \csc ^5(x) \, dx\)
 3.77 \(\int e^{-x} \sin (x) \, dx\)
 3.78 \(\int e^{2 x} \sin (3 x) \, dx\)
 3.79 \(\int a^x \cos (x) \, dx\)
 3.80 \(\int \cos (\log (x)) \, dx\)
 3.81 \(\int \log (\cos (x)) \sec ^2(x) \, dx\)
 3.82 \(\int x \tan ^2(x) \, dx\)
 3.83 \(\int \frac{\sin ^{-1}(x)}{x^2} \, dx\)
 3.84 \(\int \sin ^{-1}(x)^2 \, dx\)
 3.85 \(\int \frac{x^2 \tan ^{-1}(x)}{1+x^2} \, dx\)
 3.86 \(\int \cos ^{-1}(\sqrt{\frac{x}{1+x}}) \, dx\)
 3.87 \(\int (2 x+3 x^2)^3 \, dx\)
 3.88 \(\int (-1+x) (-1+2 x+3 x^2)^2 \, dx\)
 3.89 \(\int x^{-1+k} (a+b x^k)^n \, dx\)
 3.90 \(\int \frac{x^3}{1+2 x} \, dx\)
 3.91 \(\int \frac{x^6}{2+3 x^2} \, dx\)
 3.92 \(\int \frac{1}{2-7 x+3 x^2} \, dx\)
 3.93 \(\int \frac{-1+3 x}{1-x+x^2} \, dx\)
 3.94 \(\int \frac{x^2}{5+2 x+x^2} \, dx\)
 3.95 \(\int \frac{4 x^2-5 x^3+6 x^4}{1-x+2 x^2} \, dx\)
 3.96 \(\int \frac{-1+x+x^2}{-6 x+x^2+x^3} \, dx\)
 3.97 \(\int \frac{11 a^2-7 a x+5 x^2}{-6 a^3+11 a^2 x-6 a x^2+x^3} \, dx\)
 3.98 \(\int \frac{2-x+x^2}{4-5 x^2+x^4} \, dx\)
 3.99 \(\int \frac{-5+2 x^2}{6-5 x^2+x^4} \, dx\)
 3.100 \(\int \frac{1}{(-4+x) (-3+x) (-2+x) (-1+x)} \, dx\)
 3.101 \(\int \frac{1+x^2}{(-1+x)^3} \, dx\)
 3.102 \(\int \frac{x^5}{(3+x)^2} \, dx\)
 3.103 \(\int \frac{-2+5 x^3}{-27+18 x^2-8 x^3+x^4} \, dx\)
 3.104 \(\int \frac{-9+3 x-6 x^2+x^3}{(3+x)^2 (4+x)^2} \, dx\)
 3.105 \(\int \frac{2+x^2+x^3}{x (-1+x^2)^2} \, dx\)
 3.106 \(\int \frac{1}{x^3-x^4-x^5+x^6} \, dx\)
 3.107 \(\int \frac{1+x^4}{-1+x-x^2+x^3} \, dx\)
 3.108 \(\int \frac{1}{x (1+x) (1+x^2)} \, dx\)
 3.109 \(\int \frac{x^2}{-2+x^2+x^4} \, dx\)
 3.110 \(\int \frac{6 x+4 x^2+x^3}{2+4 x+3 x^2+2 x^3+x^4} \, dx\)
 3.111 \(\int \frac{x}{(1+x) (1+2 x)^2 (1+x^2)} \, dx\)
 3.112 \(\int \frac{-2+x+3 x^2}{(-1+x)^3 (1+x^2)} \, dx\)
 3.113 \(\int \frac{1}{1+x^2+x^4} \, dx\)
 3.114 \(\int \frac{3+2 x^3}{-9 x+x^5} \, dx\)
 3.115 \(\int \frac{-20+8 x+5 x^3}{(-4+x)^3 (8-4 x+x^2)} \, dx\)
 3.116 \(\int \frac{1}{(1+x^2) (2+x^2) (3+x^2) (4+x^2)} \, dx\)
 3.117 \(\int \frac{x}{(1+x^2) (2+x^2) (3+x^2) (4+x^2)} \, dx\)
 3.118 \(\int \frac{1}{a^3+x^3} \, dx\)
 3.119 \(\int \frac{x}{a^3+x^3} \, dx\)
 3.120 \(\int \frac{x^2}{a^3+x^3} \, dx\)
 3.121 \(\int \frac{1}{x (a^3+x^3)} \, dx\)
 3.122 \(\int \frac{1}{x^2 (a^3+x^3)} \, dx\)
 3.123 \(\int \frac{1}{x^3 (a^3+x^3)} \, dx\)
 3.124 \(\int \frac{1}{x^4 (a^3+x^3)} \, dx\)
 3.125 \(\int \frac{1}{x^5 (a^3+x^3)} \, dx\)
 3.126 \(\int \frac{x^{-m}}{a^3+x^3} \, dx\)
 3.127 \(\int \frac{1}{a^4-x^4} \, dx\)
 3.128 \(\int \frac{x}{a^4-x^4} \, dx\)
 3.129 \(\int \frac{1}{x (a^4-x^4)} \, dx\)
 3.130 \(\int \frac{1}{x^2 (a^4-x^4)} \, dx\)
 3.131 \(\int \frac{1}{x^3 (a^4-x^4)} \, dx\)
 3.132 \(\int \frac{1}{x^4 (a^4-x^4)} \, dx\)
 3.133 \(\int \frac{x^{-m}}{a^4-x^4} \, dx\)
 3.134 \(\int \frac{x}{a^4+x^4} \, dx\)
 3.135 \(\int \frac{x^2}{a^4+x^4} \, dx\)
 3.136 \(\int \frac{1}{a^5+x^5} \, dx\)
 3.137 \(\int \frac{x}{a^5+x^5} \, dx\)
 3.138 \(\int \frac{x^2}{a^5+x^5} \, dx\)
 3.139 \(\int \frac{x^3}{a^5+x^5} \, dx\)
 3.140 \(\int \frac{x^4}{a^5+x^5} \, dx\)
 3.141 \(\int \frac{1}{x (a^5+x^5)} \, dx\)
 3.142 \(\int \frac{1}{x^2 (a^5+x^5)} \, dx\)
 3.143 \(\int \frac{1}{x^3 (a^5+x^5)} \, dx\)
 3.144 \(\int \frac{1}{x^4 (a^5+x^5)} \, dx\)
 3.145 \(\int \frac{x^{-m}}{a^5+x^5} \, dx\)
 3.146 \(\int \frac{1+x^4}{1+x^6} \, dx\)
 3.147 \(\int \frac{1}{(5+3 x+x^2)^3} \, dx\)
 3.148 \(\int \frac{1+x^2+x^4}{(1+x^2)^4} \, dx\)
 3.149 \(\int \frac{B+A x}{(c+2 b x+a x^2)^2} \, dx\)
 3.150 \(\int \frac{-41+55 x-27 x^2+5 x^3}{(5-4 x+x^2)^2} \, dx\)
 3.151 \(\int \frac{1}{(-1+x^3)^2} \, dx\)
 3.152 \(\int \frac{4+3 x^4}{x^2 (1+x^2)^3} \, dx\)
 3.153 \(\int \frac{x}{1+x^6} \, dx\)
 3.154 \(\int \frac{-1+x^{-1+n}}{-n x+x^n} \, dx\)
 3.155 \(\int \frac{x^3}{1-2 x^2+3 x^4} \, dx\)
 3.156 \(\int \frac{x^5}{-4+x^2+3 x^4} \, dx\)
 3.157 \(\int \frac{x^2}{9-10 x^3+x^6} \, dx\)
 3.158 \(\int \frac{1-4 x^2+x^3}{(-2+x)^4} \, dx\)
 3.159 \(\int \frac{x^3}{(-1+x)^{12}} \, dx\)
 3.160 \(\int \frac{-3 x+x^4}{(1+2 x)^5} \, dx\)
 3.161 \(\int \frac{1}{(-1+x)^2 (1+x)^3} \, dx\)
 3.162 \(\int \frac{1}{(5-6 x)^2 x^2} \, dx\)
 3.163 \(\int \frac{1}{(-3-2 x+x^2)^3} \, dx\)
 3.164 \(\int \frac{1}{(13-4 x+x^2)^3} \, dx\)
 3.165 \(\int \frac{1}{(2+x)^3 (3+x)^4} \, dx\)
 3.166 \(\int \frac{x^6}{(-2+x^2)^2} \, dx\)
 3.167 \(\int \frac{x^8}{(4+x^2)^4} \, dx\)
 3.168 \(\int \frac{-4+7 x}{(5+2 x+3 x^2)^2} \, dx\)
 3.169 \(\int \frac{5-4 x}{(-2-4 x+3 x^2)^2} \, dx\)
 3.170 \(\int \frac{x^5}{(1+x^4)^3} \, dx\)
 3.171 \(\int \frac{x (1+x^2)^3}{(2+2 x^2+x^4)^2} \, dx\)
 3.172 \(\int \frac{x^3}{(a^4+x^4)^3} \, dx\)
 3.173 \(\int \frac{1}{x (a^4+x^4)^3} \, dx\)
 3.174 \(\int \frac{1}{x^2 (a^4+x^4)^3} \, dx\)
 3.175 \(\int \frac{1}{x^3 (a^4+x^4)^3} \, dx\)
 3.176 \(\int \frac{x^{14}}{(3+2 x^5)^3} \, dx\)
 3.177 \(\int \frac{x^6}{(3+2 x^5)^3} \, dx\)
 3.178 \(\int \frac{9}{5 x^2 (3-2 x^2)^3} \, dx\)
 3.179 \(\int \frac{4+3 x^4}{x^2 (1+x^2)^3} \, dx\)
 3.180 \(\int \frac{5-3 x+6 x^2+5 x^3-x^4}{-1+x+2 x^2-2 x^3-x^4+x^5} \, dx\)
 3.181 \(\int \frac{1+x^2}{x (1+x^3)^2} \, dx\)
 3.182 \(\int \frac{-2-3 x+x^2}{(1+x)^2 (1+x+x^2)^2} \, dx\)
 3.183 \(\int \frac{1}{(1-4 x)^3 (2-3 x)} \, dx\)
 3.184 \(\int \frac{x^3}{(2-5 x^2)^7} \, dx\)
 3.185 \(\int \frac{x^7}{(2-5 x^2)^3} \, dx\)
 3.186 \(\int \frac{1}{(-2+x)^3 (1+x)^2} \, dx\)
 3.187 \(\int \frac{1}{(2+x)^3 (3+x)^4} \, dx\)
 3.188 \(\int \frac{x^5}{(3+x)^2} \, dx\)
 3.189 \(\int (\text{b1}+\text{c1} x) (a+2 b x+c x^2) \, dx\)
 3.190 \(\int (\text{b1}+\text{c1} x) (a+2 b x+c x^2)^2 \, dx\)
 3.191 \(\int (\text{b1}+\text{c1} x) (a+2 b x+c x^2)^3 \, dx\)
 3.192 \(\int (\text{b1}+\text{c1} x) (a+2 b x+c x^2)^4 \, dx\)
 3.193 \(\int (\text{b1}+\text{c1} x) (a+2 b x+c x^2)^n \, dx\)
 3.194 \(\int \frac{\text{b1}+\text{c1} x}{a+2 b x+c x^2} \, dx\)
 3.195 \(\int \frac{\text{b1}+\text{c1} x}{(a+2 b x+c x^2)^2} \, dx\)
 3.196 \(\int \frac{\text{b1}+\text{c1} x}{(a+2 b x+c x^2)^3} \, dx\)
 3.197 \(\int \frac{\text{b1}+\text{c1} x}{(a+2 b x+c x^2)^4} \, dx\)
 3.198 \(\int (\text{b1}+\text{c1} x) (a+2 b x+c x^2)^{-n} \, dx\)
 3.199 \(\int \frac{x}{3+6 x+2 x^2} \, dx\)
 3.200 \(\int \frac{-3+2 x}{(3+6 x+2 x^2)^3} \, dx\)
 3.201 \(\int \frac{-1+x}{(4+5 x+x^2)^2} \, dx\)
 3.202 \(\int \frac{1}{(2+3 x+x^2)^5} \, dx\)
 3.203 \(\int \frac{1}{x^3 (7-6 x+2 x^2)^2} \, dx\)
 3.204 \(\int \frac{x^9}{(2+3 x+x^2)^5} \, dx\)
 3.205 \(\int \frac{(1+2 x)^2}{(3+5 x+2 x^2)^5} \, dx\)
 3.206 \(\int \frac{(a-b x^2)^3}{x^7} \, dx\)
 3.207 \(\int \frac{x^{13}}{(a^4+x^4)^5} \, dx\)
 3.208 \(\int (2 \sqrt{x}-x)^2 x^{3/2} (1+x^2) \, dx\)
 3.209 \(\int (-3 x^{3/5}+x^{3/2})^2 (-\frac{x^{2/3}}{3}+4 x^{3/2}) \, dx\)
 3.210 \(\int \frac{1}{1+\sqrt{1+x}} \, dx\)
 3.211 \(\int \frac{x}{1+\sqrt{1+x}} \, dx\)
 3.212 \(\int \frac{1+\sqrt{1+x}}{-1+\sqrt{1+x}} \, dx\)
 3.213 \(\int \frac{1}{-\sqrt{1+x}+(1+x)^{2/3}} \, dx\)
 3.214 \(\int \frac{\sqrt [3]{1+\sqrt [4]{x}}}{\sqrt{x}} \, dx\)
 3.215 \(\int \frac{1}{x^3 (1+x)^{3/2}} \, dx\)
 3.216 \(\int \frac{1}{(1-x)^{7/2} x^5} \, dx\)
 3.217 \(\int \frac{1}{(-1+x)^{2/3} x^5} \, dx\)
 3.218 \(\int \sqrt{\frac{1-x}{1+x}} \, dx\)
 3.219 \(\int x \sqrt{\frac{-a+x}{b-x}} \, dx\)
 3.220 \(\int \frac{\sqrt{-5+x} \sqrt{3+x}}{(-1+x) (-25+x^2)} \, dx\)
 3.221 \(\int \frac{x^2 \sqrt{1+x} \sqrt [4]{1-x^2}}{\sqrt{1-x} (\sqrt{1-x}-\sqrt{1+x})} \, dx\)
 3.222 \(\int \frac{\sqrt{1-x} x (1+x)^{2/3}}{-(1-x)^{5/6} \sqrt [3]{1+x}+(1-x)^{2/3} \sqrt{1+x}} \, dx\)
 3.223 \(\int \frac{1}{\sqrt [3]{(-1+x)^4 (1+x)^2}} \, dx\)
 3.224 \(\int \frac{1}{\sqrt [4]{(-1+x)^3 (2+x)^5}} \, dx\)
 3.225 \(\int \frac{1}{\sqrt [3]{(-1+x)^7 (1+x)^2}} \, dx\)
 3.226 \(\int \frac{1}{\sqrt [3]{(-1+x)^2 (1+x)}} \, dx\)
 3.227 \(\int \frac{\frac{1}{x}+x}{\sqrt{(-2+x) (1+x)^3}} \, dx\)
 3.228 \(\int \frac{\sqrt [3]{(-1+x)^2 (1+x)}}{x^2} \, dx\)
 3.229 \(\int \frac{1}{(-3-2 x+x^2)^{5/2}} \, dx\)
 3.230 \(\int \frac{1}{\sqrt{9+3 x-5 x^2+x^3}} \, dx\)
 3.231 \(\int \frac{1}{(9+3 x-5 x^2+x^3)^{3/2}} \, dx\)
 3.232 \(\int \frac{1}{\sqrt [3]{9+3 x-5 x^2+x^3}} \, dx\)
 3.233 \(\int \frac{1}{(9+3 x-5 x^2+x^3)^{2/3}} \, dx\)
 3.234 \(\int \frac{1}{(9+3 x-5 x^2+x^3)^{4/3}} \, dx\)
 3.235 \(\int \frac{1}{\sqrt{4+3 x-2 x^2}} \, dx\)
 3.236 \(\int \frac{1}{\sqrt{-3+4 x-x^2}} \, dx\)
 3.237 \(\int \frac{1}{\sqrt{-2-5 x-3 x^2}} \, dx\)
 3.238 \(\int \frac{1}{\sqrt{1-x^2} (4+x^2)} \, dx\)
 3.239 \(\int \frac{1}{(4+x^2) \sqrt{1+4 x^2}} \, dx\)
 3.240 \(\int \frac{x}{(3-x^2) \sqrt{5-x^2}} \, dx\)
 3.241 \(\int \frac{x}{\sqrt{3-x^2} (5-x^2)} \, dx\)
 3.242 \(\int \frac{1}{\sqrt{2+x^2} (-1+x^4)} \, dx\)
 3.243 \(\int \frac{x}{(-1+x^2) \sqrt{4+2 x+x^2}} \, dx\)
 3.244 \(\int \frac{1}{\sqrt{5+2 x+x^2} (-8+x^3)} \, dx\)
 3.245 \(\int \frac{x}{(4+x+x^2) \sqrt{5+4 x+4 x^2}} \, dx\)
 3.246 \(\int \frac{3+x}{(1+x^2) \sqrt{1+x+x^2}} \, dx\)
 3.247 \(\int \frac{1+2 x}{\sqrt{-1+6 x+x^2} (4+4 x+3 x^2)} \, dx\)
 3.248 \(\int \frac{B+A x}{(17-18 x+5 x^2) \sqrt{13-22 x+10 x^2}} \, dx\)
 3.249 \(\int \frac{-2+x}{(17-18 x+5 x^2) \sqrt{13-22 x+10 x^2}} \, dx\)
 3.250 \(\int x^4 \sqrt{5-x^2} \, dx\)
 3.251 \(\int \frac{1}{x^6 \sqrt{2+x^2}} \, dx\)
 3.252 \(\int \frac{1}{(3+2 x^2)^{7/2}} \, dx\)
 3.253 \(\int \frac{x}{1+x^2+a \sqrt{1+x^2}} \, dx\)
 3.254 \(\int \frac{1-x+x^2}{(1+x^2)^{3/2}} \, dx\)
 3.255 \(\int \frac{\sqrt{1+x^2}}{2+x^2} \, dx\)
 3.256 \(\int \frac{1}{\sqrt{1+x^2} (2+x^2)^2} \, dx\)
 3.257 \(\int \frac{x^2}{(-6+x^2) \sqrt{-2+x^2}} \, dx\)
 3.258 \(\int \frac{5+x^2}{\sqrt{1-x^2} (1+x^2)^2} \, dx\)
 3.259 \(\int \frac{4 x-\sqrt{1-x^2}}{5+\sqrt{1-x^2}} \, dx\)
 3.260 \(\int \frac{x^2 (2-\sqrt{1+x^2})}{\sqrt{1+x^2} (1-x^3+(1+x^2)^{3/2})} \, dx\)
 3.261 \(\int x \sqrt{2 r x-x^2} \, dx\)
 3.262 \(\int x^2 \sqrt{2 r x-x^2} \, dx\)
 3.263 \(\int x^3 \sqrt{2 r x-x^2} \, dx\)
 3.264 \(\int \frac{1}{(-1+x^2) \sqrt{2 x+x^2}} \, dx\)
 3.265 \(\int \frac{-2+3 x}{(1+x)^3 \sqrt{2 x-x^2}} \, dx\)
 3.266 \(\int \frac{1}{\sqrt{1+x+x^2}} \, dx\)
 3.267 \(\int \frac{x^3}{\sqrt{1+x+x^2}} \, dx\)
 3.268 \(\int \frac{1}{(1+x+x^2)^{3/2}} \, dx\)
 3.269 \(\int \frac{x}{(1+x+x^2)^{3/2}} \, dx\)
 3.270 \(\int \frac{x^3}{(1+x+x^2)^{3/2}} \, dx\)
 3.271 \(\int x^2 \sqrt{1+x+x^2} \, dx\)
 3.272 \(\int (1+x+x^2)^{3/2} \, dx\)
 3.273 \(\int (1+x+x^2)^{5/2} \, dx\)
 3.274 \(\int \frac{1}{x^2 \sqrt{1+x+x^2}} \, dx\)
 3.275 \(\int \frac{1}{x^3 \sqrt{1+x+x^2}} \, dx\)
 3.276 \(\int \frac{1}{x^2 (1+x+x^2)^{3/2}} \, dx\)
 3.277 \(\int \frac{1}{x^3 (1+x+x^2)^{3/2}} \, dx\)
 3.278 \(\int \frac{1}{(1+x) \sqrt{1+x+x^2}} \, dx\)
 3.279 \(\int \frac{1}{\sqrt{4+2 x+x^2} (-x+x^3)} \, dx\)
 3.280 \(\int \frac{\sqrt{4+2 x+x^2}}{(-1+x)^2} \, dx\)
 3.281 \(\int \frac{3+2 x}{(3+2 x+x^2)^2 \sqrt{4+2 x+x^2}} \, dx\)
 3.282 \(\int \frac{3 x^2+2 x^3}{\sqrt{-3+2 x+x^2} (-3+x+2 x^2)} \, dx\)
 3.283 \(\int \frac{1+x^4}{(1+x+x^2) \sqrt{2+x+x^2}} \, dx\)
 3.284 \(\int \frac{1}{(4+2 x+x^2)^{7/2}} \, dx\)
 3.285 \(\int \frac{1}{(1+8 x+3 x^2)^{5/2}} \, dx\)
 3.286 \(\int \frac{1}{(5+4 x-3 x^2)^{5/2}} \, dx\)
 3.287 \(\int \frac{1}{1+\sqrt{2+2 x+x^2}} \, dx\)
 3.288 \(\int \frac{1}{x+\sqrt{1+x+x^2}} \, dx\)
 3.289 \(\int \frac{x^2}{1+2 x+2 \sqrt{1+x+x^2}} \, dx\)
 3.290 \(\int \frac{-3 x+\sqrt{1+x+x^2}}{-1+\sqrt{1+x+x^2}} \, dx\)
 3.291 \(\int \frac{1+x}{-\sqrt{1+x+x^2}+\sqrt{4+2 x+x^2}} \, dx\)
 3.292 \(\int \frac{1}{\sqrt{-1+x} x^3} \, dx\)
 3.293 \(\int \frac{1}{(1-\frac{3}{x})^{4/3} x^2} \, dx\)
 3.294 \(\int \frac{(-1+3 x)^{4/3}}{x^2} \, dx\)
 3.295 \(\int (4-3 x)^{4/3} x^2 \, dx\)
 3.296 \(\int \frac{(1-2 \sqrt [3]{x})^{3/4}}{x} \, dx\)
 3.297 \(\int \frac{x}{(3-2 \sqrt{x})^{3/4}} \, dx\)
 3.298 \(\int \frac{(-1+2 \sqrt{x})^{5/4}}{x^2} \, dx\)
 3.299 \(\int x^6 \sqrt [3]{1+x^7} \, dx\)
 3.300 \(\int \frac{x^6}{(1+x^7)^{5/3}} \, dx\)
 3.301 \(\int \frac{1}{x (-27+2 x^7)^{2/3}} \, dx\)
 3.302 \(\int \frac{(1+x^7)^{2/3}}{x^8} \, dx\)
 3.303 \(\int \frac{\sqrt [4]{3+4 x^4}}{x^2} \, dx\)
 3.304 \(\int x^2 (3+4 x^4)^{5/4} \, dx\)
 3.305 \(\int x^6 \sqrt [4]{3+4 x^4} \, dx\)
 3.306 \(\int \sqrt [3]{x (1-x^2)} \, dx\)
 3.307 \(\int \sqrt{(1+\sqrt [3]{x}) x} \, dx\)
 3.308 \(\int \frac{x^3}{(-1+x^4) \sqrt{1+2 x^8}} \, dx\)
 3.309 \(\int x^9 \sqrt{1+x^5+x^{10}} \, dx\)
 3.310 \(\int \frac{1}{x^5 \sqrt{4+2 x^2+x^4}} \, dx\)
 3.311 \(\int \frac{-1+x^2}{x \sqrt{1+3 x^2+x^4}} \, dx\)
 3.312 \(\int (-3 x+2 x^3) (-3 x^2+x^4)^{3/5} \, dx\)
 3.313 \(\int \frac{-2 x^5+3 x^8-x^2 (-1+3 x^3)^{2/3}}{(-1+3 x^3)^{3/4}} \, dx\)
 3.314 \(\int \frac{1}{(-1+x^3) \sqrt [3]{2+x^3}} \, dx\)
 3.315 \(\int \frac{1}{(1+x^4) \sqrt [4]{2+x^4}} \, dx\)
 3.316 \(\int \frac{-1+x^3}{\sqrt [3]{2+x^3}} \, dx\)
 3.317 \(\int \frac{(1+x^4)^{3/4}}{(2+x^4)^2} \, dx\)
 3.318 \(\int \frac{(-2+x^5)^2}{(3+x^5)^{16/5}} \, dx\)
 3.319 \(\int \frac{1}{(3 x+3 x^2+x^3) \sqrt [3]{3+3 x+3 x^2+x^3}} \, dx\)
 3.320 \(\int \frac{1-x^2}{(1+x^2) \sqrt{1+x^4}} \, dx\)
 3.321 \(\int \frac{1+x^2}{(1-x^2) \sqrt{1+x^4}} \, dx\)
 3.322 \(\int \frac{1+x^2}{x \sqrt{1+x^4}} \, dx\)
 3.323 \(\int \frac{-1+x^2}{x \sqrt{1+x^4}} \, dx\)
 3.324 \(\int \frac{1+x^2}{(1-x^2) \sqrt{1+x^2+x^4}} \, dx\)
 3.325 \(\int \frac{1-x^2}{(1+x^2) \sqrt{1+x^2+x^4}} \, dx\)
 3.326 \(\int \frac{-1+x^4}{x^2 \sqrt{1+x^2+x^4}} \, dx\)
 3.327 \(\int \frac{1-x^2}{(1+2 a x+x^2) \sqrt{1+2 a x+2 b x^2+2 a x^3+x^4}} \, dx\)
 3.328 \(\int \frac{1}{(1+x^4) \sqrt{-x^2+\sqrt{1+x^4}}} \, dx\)
 3.329 \(\int \frac{1}{(1+x^{2 n}) \sqrt{-x^2+(1+x^{2 n})^{\frac{1}{n}}}} \, dx\)
 3.330 \(\int \cos ^2(x) \, dx\)
 3.331 \(\int \cos ^3(x) \, dx\)
 3.332 \(\int \sin ^4(x) \, dx\)
 3.333 \(\int \cos ^6(x) \, dx\)
 3.334 \(\int \sin ^8(x) \, dx\)
 3.335 \(\int \cos ^4(\frac{\pi }{4}+\frac{x}{2}) \, dx\)
 3.336 \(\int -\sin ^3(\frac{\pi }{12}-3 x) \, dx\)
 3.337 \(\int \csc ^6(x) \, dx\)
 3.338 \(\int \csc ^7(x) \, dx\)
 3.339 \(\int \sec ^{12}(x) \, dx\)
 3.340 \(\int \sec ^3(\frac{\pi }{4}+3 x) \, dx\)
 3.341 \(\int \tan ^6(x) \, dx\)
 3.342 \(\int \cot ^5(x) \, dx\)
 3.343 \(\int \cot ^4(\frac{\pi }{4}+\frac{x}{3}) \, dx\)
 3.344 \(\int \cos ^6(x) \sin ^4(x) \, dx\)
 3.345 \(\int \cos ^6(x) \sin ^7(x) \, dx\)
 3.346 \(\int \sin ^{10}(x) \tan (x) \, dx\)
 3.347 \(\int \csc ^6(x) \sec ^6(x) \, dx\)
 3.348 \(\int \cos ^2(x) \sin ^2(x) \, dx\)
 3.349 \(\int \cos ^4(x) \sin ^4(x) \, dx\)
 3.350 \(\int \cos ^6(x) \sin ^6(x) \, dx\)
 3.351 \(\int \cos ^8(x) \sin ^8(x) \, dx\)
 3.352 \(\int \cos ^{2 m}(x) \sin ^{2 m}(x) \, dx\)
 3.353 \(\int \csc ^3(\frac{\pi }{4}+2 x) \sec (\frac{\pi }{4}+2 x) \, dx\)
 3.354 \(\int \sec ^2(x) \tan ^2(x) \, dx\)
 3.355 \(\int \cot ^3(x) \csc (x) \, dx\)
 3.356 \(\int \sec ^3(x) \tan (x) \, dx\)
 3.357 \(\int \cot ^2(x) \csc ^3(x) \, dx\)
 3.358 \(\int \cot ^3(x) \csc ^4(x) \, dx\)
 3.359 \(\int \sec ^{\frac{13}{2}}(x) \sin ^5(x) \, dx\)
 3.360 \(\int \sec ^4(x) \tan ^{\frac{3}{2}}(x) \, dx\)
 3.361 \(\int \cot ^4(x) \csc ^3(x) \, dx\)
 3.362 \(\int \sec ^3(\frac{\pi }{4}+\frac{x}{2}) \tan ^2(\frac{\pi }{4}+\frac{x}{2}) \, dx\)
 3.363 \(\int (1+\cot ^3(x)) (a \sec ^2(x)-\sin (2 x))^2 \, dx\)
 3.364 \(\int (4-3 \cos (x)) (1-\frac{\sin (x)}{2})^4 \, dx\)
 3.365 \(\int (\frac{1}{2}-3 \cot (x)) (3-2 \cot (x))^3 \, dx\)
 3.366 \(\int \cos (5 x) \sec ^5(x) \, dx\)
 3.367 \(\int \cos (4 x) \sec (x) \, dx\)
 3.368 \(\int \cos (x) \cos (4 x) \, dx\)
 3.369 \(\int \cos (4 x) \sec ^5(x) \, dx\)
 3.370 \(\int \cos ^4(x) \cos (4 x) \, dx\)
 3.371 \(\int \cos (5 x) \csc ^5(x) \, dx\)
 3.372 \(\int \csc ^4(x) \sin (4 x) \, dx\)
 3.373 \(\int \frac{\cot (x)}{2+\sin (2 x)} \, dx\)
 3.374 \(\int \cos (x) \cot (x) \sec (3 x) \, dx\)
 3.375 \(\int \frac{\sin (2 x)}{\cos ^4(x)+\sin ^4(x)} \, dx\)
 3.376 \(\int \frac{1}{4+\sqrt{3} \cos (x)+\sin (x)} \, dx\)
 3.377 \(\int \frac{1}{3+4 \cos (x)+4 \sin (x)} \, dx\)
 3.378 \(\int \frac{1}{4-3 \cos ^2(x)+5 \sin ^2(x)} \, dx\)
 3.379 \(\int \frac{1}{4+4 \cot (x)+\tan (x)} \, dx\)
 3.380 \(\int \frac{1}{(2 \sec (x)+\sin (x))^2} \, dx\)
 3.381 \(\int \frac{1}{(\cos (x)+2 \sec (x))^2} \, dx\)
 3.382 \(\int \frac{5-\tan (x)-6 \tan ^2(x)}{(1+3 \tan (x))^3} \, dx\)
 3.383 \(\int \cos ^2(x) \sec (3 x) \, dx\)
 3.384 \(\int \sec (2 x) \sin (x) \, dx\)
 3.385 \(\int \sec (2 x) \sin ^2(x) \, dx\)
 3.386 \(\int \sec (3 x) \sin ^3(x) \, dx\)
 3.387 \(\int \cos (x) \csc (3 x) \, dx\)
 3.388 \(\int \csc (4 x) \sin (x) \, dx\)
 3.389 \(\int \csc (4 x) \sin ^3(x) \, dx\)
 3.390 \(\int \sqrt{1+\sin (2 x)} \, dx\)
 3.391 \(\int \sqrt{1-\sin (2 x)} \, dx\)
 3.392 \(\int \frac{1}{\sqrt{1+\cos (2 x)}} \, dx\)
 3.393 \(\int \frac{1}{\sqrt{1-\cos (2 x)}} \, dx\)
 3.394 \(\int \frac{1}{(1-\cos (3 x))^{3/2}} \, dx\)
 3.395 \(\int (1-\sin (\frac{2 x}{3}))^{5/2} \, dx\)
 3.396 \(\int \frac{\cos (x) (-\cos ^2(x)+2 \sqrt [4]{1+2 \sin (x)})}{(1+2 \sin (x))^{3/2}} \, dx\)
 3.397 \(\int \sqrt{\tan (x)} \, dx\)
 3.398 \(\int \frac{1}{\sqrt [3]{\tan (5 x)}} \, dx\)
 3.399 \(\int \frac{1}{(4+3 \tan (2 x))^{3/2}} \, dx\)
 3.400 \(\int \frac{\sec ^2(x) (-\sqrt{4-3 \tan (x)}+3 \tan (x))}{(4-3 \tan (x))^{3/2}} \, dx\)
 3.401 \(\int \frac{\tan (x)}{(-1+\sqrt{\tan (x)})^2} \, dx\)
 3.402 \(\int \frac{\sin (x)}{\sqrt{\sin (2 x)}} \, dx\)
 3.403 \(\int \frac{\cos (x)}{\sqrt{\sin (2 x)}} \, dx\)
 3.404 \(\int \sin (x) \sqrt{\sin (2 x)} \, dx\)
 3.405 \(\int (\cos (x)-\sin (x)) \sqrt{\sin (2 x)} \, dx\)
 3.406 \(\int \frac{\sin ^7(x)}{\sin ^{\frac{7}{2}}(2 x)} \, dx\)
 3.407 \(\int \frac{\cos ^7(x)}{\sin ^{\frac{7}{2}}(2 x)} \, dx\)
 3.408 \(\int \csc ^5(x) \sin ^{\frac{3}{2}}(2 x) \, dx\)
 3.409 \(\int \frac{\sec ^3(x)}{\sqrt{\sin (2 x)}} \, dx\)
 3.410 \(\int \frac{\csc (x)}{\sin ^{\frac{3}{2}}(2 x)} \, dx\)
 3.411 \(\int \frac{\cos ^3(x) (\cos (2 x)-3 \tan (x))}{(\sin ^2(x)-\sin (2 x)) \sin ^{\frac{5}{2}}(2 x)} \, dx\)
 3.412 \(\int \sqrt{\sec ^4(x) \tan (x)} \, dx\)
 3.413 \(\int \sqrt{\sin ^4(x) \tan (x)} \, dx\)
 3.414 \(\int \sqrt [3]{\sec ^{12}(x) \tan ^2(x)} \, dx\)
 3.415 \(\int \frac{1}{\sqrt [4]{\cos ^{11}(x) \sin ^{13}(x)}} \, dx\)
 3.416 \(\int \frac{\cos (2 x)-\sqrt{\sin (2 x)}}{\sqrt{\cos ^3(x) \sin (x)}} \, dx\)
 3.417 \(\int \frac{\sqrt{\cos (x) \sin ^3(x)}-2 \sin (2 x)}{-\sqrt{\cos ^3(x) \sin (x)}+\sqrt{\tan (x)}} \, dx\)
 3.418 \(\int \frac{-3 \tan (x)+\sqrt [3]{\sec ^6(x) \tan (x)}}{(\cos ^5(x) \sin (x))^{2/3}} \, dx\)
 3.419 \(\int (1+2 \cos ^2(x))^{5/2} \sin (x) \, dx\)
 3.420 \(\int \cos (x) (5 \cos ^2(x)+\sin ^2(x))^{5/2} \, dx\)
 3.421 \(\int \cos (x) (-\cos ^2(x)-5 \sin ^2(x))^{3/2} \, dx\)
 3.422 \(\int \frac{\sin (x)}{(5 \cos ^2(x)-2 \sin ^2(x))^{7/2}} \, dx\)
 3.423 \(\int \frac{\cos (x) \cos (2 x)}{(2-5 \sin ^2(x))^{3/2}} \, dx\)
 3.424 \(\int \frac{\sin (5 x)}{(5 \cos ^2(x)+9 \sin ^2(x))^{5/2}} \, dx\)
 3.425 \(\int \frac{\cos (x) \cos (2 x) \sin (3 x)}{(-5+4 \sin ^2(x))^{5/2}} \, dx\)
 3.426 \(\int \frac{\csc ^2(x) (-2 \cos ^3(x) (-1+\sin (x))+\cos (2 x) \sin (x))}{\sqrt{-5+\sin ^2(x)}} \, dx\)
 3.427 \(\int \frac{\cos (3 x)}{-\sqrt{-1+8 \cos ^2(x)}+\sqrt{3 \cos ^2(x)-\sin ^2(x)}} \, dx\)
 3.428 \(\int (2-3 \sin ^2(x))^{3/5} \sin (4 x) \, dx\)
 3.429 \(\int \cos (x) \sqrt{\cos (2 x)} \, dx\)
 3.430 \(\int \cos ^{\frac{3}{2}}(2 x) \sin (x) \, dx\)
 3.431 \(\int \frac{\sin (x)}{\cos ^{\frac{5}{2}}(2 x)} \, dx\)
 3.432 \(\int \cos ^{\frac{3}{2}}(2 x) \sec ^3(x) \, dx\)
 3.433 \(\int \frac{\sin ^2(x) (3 \sin ^3(x)-\cos (x) \sin (4 x))}{\cos ^{\frac{7}{2}}(2 x)} \, dx\)
 3.434 \(\int (4-5 \sec ^2(x))^{3/2} \, dx\)
 3.435 \(\int \frac{1}{(4-5 \sec ^2(x))^{3/2}} \, dx\)
 3.436 \(\int \frac{-2 \cot ^2(x)+\sin (x)}{(1+5 \tan ^2(x))^{3/2}} \, dx\)
 3.437 \(\int \frac{(-3+\cos (2 x)) \sec ^4(x)}{\sqrt{4-\cot ^2(x)}} \, dx\)
 3.438 \(\int \frac{(3+\sin ^2(x)) \tan ^3(x)}{(-2+\cos ^2(x)) (5-4 \sec ^2(x))^{3/2}} \, dx\)
 3.439 \(\int \frac{\csc ^2(x) (\sec ^2(x)-3 \tan (x) \sqrt{4 \sec ^2(x)+5 \tan ^2(x)})}{(4 \sec ^2(x)+5 \tan ^2(x))^{3/2}} \, dx\)
 3.440 \(\int \tan (x) (1+5 \tan ^2(x))^{5/2} \, dx\)
 3.441 \(\int \frac{\tan (x)}{(1+5 \tan ^2(x))^{5/2}} \, dx\)
 3.442 \(\int \frac{\tan (x)}{\sqrt [3]{a^3+b^3 \tan ^2(x)}} \, dx\)
 3.443 \(\int \tan (x) (1-7 \tan ^2(x))^{2/3} \, dx\)
 3.444 \(\int \frac{\cot (x)}{\sqrt [4]{a^4+b^4 \csc ^2(x)}} \, dx\)
 3.445 \(\int \frac{\cot (x)}{\sqrt [4]{a^4-b^4 \csc ^2(x)}} \, dx\)
 3.446 \(\int \frac{\sec ^2(x) \tan (x) (\sqrt [3]{1-3 \sec ^2(x)} \sin ^2(x)+3 \tan ^2(x))}{(1-3 \sec ^2(x))^{5/6} (1-\sqrt{1-3 \sec ^2(x)})} \, dx\)
 3.447 \(\int \frac{\sec ^2(x) (-\cos (2 x)+2 \tan ^2(x))}{(\tan (x) \tan (2 x))^{3/2}} \, dx\)
 3.448 \(\int \frac{\tan (x)}{(a^3-b^3 \cos ^n(x))^{4/3}} \, dx\)
 3.449 \(\int (1+2 \cos ^9(x))^{5/6} \tan (x) \, dx\)
 3.450 \(\int \frac{\cos (x) \sin ^8(x)}{(2-5 \sin ^3(x))^{4/3}} \, dx\)
 3.451 \(\int \frac{\sec ^2(x) \tan (x) (1+\sqrt [3]{1-8 \tan ^2(x)})}{(1-8 \tan ^2(x))^{2/3}} \, dx\)
 3.452 \(\int \frac{\csc (x) \sec (x) (1+\sqrt [3]{1-8 \tan ^2(x)})}{(1-8 \tan ^2(x))^{2/3}} \, dx\)
 3.453 \(\int \frac{(5 \cos ^2(x)-\sqrt{-1+5 \sin ^2(x)}) \tan (x)}{\sqrt [4]{-1+5 \sin ^2(x)} (2+\sqrt{-1+5 \sin ^2(x)})} \, dx\)
 3.454 \(\int \cos ^3(x) \cos ^{\frac{2}{3}}(2 x) \sin (x) \, dx\)
 3.455 \(\int \frac{\sin ^6(x) \tan (x)}{\cos ^{\frac{3}{4}}(2 x)} \, dx\)
 3.456 \(\int \sqrt{\tan (x) \tan (2 x)} \, dx\)
 3.457 \(\int \sqrt{\cot (2 x) \tan (x)} \, dx\)
 3.458 \(\int \frac{1}{x^5 (5+x^2)} \, dx\)
 3.459 \(\int \frac{1}{x^6 (5+x^2)} \, dx\)
 3.460 \(\int \frac{1}{x (-4+x^2)^4} \, dx\)
 3.461 \(\int \frac{1}{x (-2+x^2)^{5/2}} \, dx\)
 3.462 \(\int \frac{(-10+x^2)^{5/2}}{x} \, dx\)
 3.463 \(\int x^{1+2 n} \, dx\)
 3.464 \(\int \frac{x^7}{(-5+x^2)^3} \, dx\)
 3.465 \(\int \frac{-4 x^3+3 x^5}{(-1+x^2)^5} \, dx\)
 3.466 \(\int x^3 (1+x^2)^{9/14} \, dx\)
 3.467 \(\int \frac{x^5}{(-4+x^2)^{13/6}} \, dx\)
 3.468 \(\int \frac{1}{(1+2 x^2)^{5/2}} \, dx\)
 3.469 \(\int \frac{1}{(-1-2 x+x^2)^{5/2}} \, dx\)
 3.470 \(\int \frac{1}{x^4 (-8+x^2)^{3/2}} \, dx\)
 3.471 \(\int \frac{(5+x^2)^2}{x^{13/3}} \, dx\)
 3.472 \(\int \frac{1}{x^7 (1+x^2)^3} \, dx\)
 3.473 \(\int \frac{(\frac{2+x^2}{x^2})^{7/9}}{(2+x^2)^{3/2}} \, dx\)
 3.474 \(\int \frac{x^4}{(\sqrt{10}-x^2)^{9/2}} \, dx\)
 3.475 \(\int \frac{x^2}{(3-x^2)^{3/2}} \, dx\)
 3.476 \(\int \frac{(25-x^2)^{3/2}}{x^4} \, dx\)
 3.477 \(\int \frac{1}{(1-2 x^2)^{7/2}} \, dx\)
 3.478 \(\int \frac{1}{(-7+6 x-x^2)^{5/2}} \, dx\)
 3.479 \(\int (1-2 x-2 x^2)^3 \, dx\)
 3.480 \(\int (-1+5 x) (-1-x+x^2)^2 \, dx\)
 3.481 \(\int \frac{1+3 x}{(1-8 x+2 x^2)^{5/2}} \, dx\)
 3.482 \(\int \frac{-1-8 x+8 x^3}{(1+2 x-4 x^2)^{5/2}} \, dx\)
 3.483 \(\int x^2 \cos ^5(x) \, dx\)
 3.484 \(\int x^3 \sin ^3(x) \, dx\)
 3.485 \(\int x^2 \sin ^6(x) \, dx\)
 3.486 \(\int x^2 \cos (x) \sin ^2(x) \, dx\)
 3.487 \(\int x \cos ^2(x) \cot ^2(x) \, dx\)
 3.488 \(\int x \sec (x) \tan ^3(x) \, dx\)
 3.489 \(\int x \sec ^2(x) \tan (x) \, dx\)
 3.490 \(\int x \sin ^2(x) \tan (x) \, dx\)
 3.491 \(\int x \tan ^3(x) \, dx\)
 3.492 \(\int \frac{2 x+\sin (2 x)}{(\cos (x)+x \sin (x))^2} \, dx\)
 3.493 \(\int \frac{x^2}{(x \cos (x)-\sin (x))^2} \, dx\)
 3.494 \(\int a^{m x} b^{n x} \, dx\)
 3.495 \(\int a^{-x} b^{-x} (a^x-b^x)^2 \, dx\)
 3.496 \(\int (-e^{-x}+e^x) \, dx\)
 3.497 \(\int (-e^{-x}+e^x)^2 \, dx\)
 3.498 \(\int (-e^{-x}+e^x)^3 \, dx\)
 3.499 \(\int (-e^{-x}+e^x)^4 \, dx\)
 3.500 \(\int (-e^{-x}+e^x)^n \, dx\)
 3.501 \(\int (a^{-4 x}-a^{2 x})^3 \, dx\)
 3.502 \(\int (a^{k x}+a^{l x}) \, dx\)
 3.503 \(\int (a^{k x}+a^{l x})^2 \, dx\)
 3.504 \(\int (a^{k x}+a^{l x})^3 \, dx\)
 3.505 \(\int (a^{k x}+a^{l x})^4 \, dx\)
 3.506 \(\int (a^{k x}+a^{l x})^n \, dx\)
 3.507 \(\int (a^{k x}-a^{l x}) \, dx\)
 3.508 \(\int (a^{k x}-a^{l x})^2 \, dx\)
 3.509 \(\int (a^{k x}-a^{l x})^3 \, dx\)
 3.510 \(\int (a^{k x}-a^{l x})^4 \, dx\)
 3.511 \(\int (a^{k x}-a^{l x})^n \, dx\)
 3.512 \(\int (1+a^{m x}) \, dx\)
 3.513 \(\int (1+a^{m x})^2 \, dx\)
 3.514 \(\int (1+a^{m x})^3 \, dx\)
 3.515 \(\int (1+a^{m x})^4 \, dx\)
 3.516 \(\int (1+a^{m x})^n \, dx\)
 3.517 \(\int (1-a^{m x}) \, dx\)
 3.518 \(\int (1-a^{m x})^2 \, dx\)
 3.519 \(\int (1-a^{m x})^3 \, dx\)
 3.520 \(\int (1-a^{m x})^4 \, dx\)
 3.521 \(\int (1-a^{m x})^n \, dx\)
 3.522 \(\int \frac{1}{b+a e^{n x}} \, dx\)
 3.523 \(\int \frac{e^x}{b+a e^{3 x}} \, dx\)
 3.524 \(\int \frac{-1+e^x}{1+e^x} \, dx\)
 3.525 \(\int \frac{e^{4 x}}{1-2 e^{2 x}+3 e^{4 x}} \, dx\)
 3.526 \(\int \frac{e^x+e^{5 x}}{-1+e^x-e^{2 x}+e^{3 x}} \, dx\)
 3.527 \(\int e^{n x} (a+b e^{n x})^{r/s} \, dx\)
 3.528 \(\int \sqrt [4]{1-2 e^{x/3}} \, dx\)
 3.529 \(\int (a+b e^{n x})^{r/s} \, dx\)
 3.530 \(\int \frac{e^x}{\sqrt{a^2+e^{2 x}}} \, dx\)
 3.531 \(\int \frac{e^x}{\sqrt{-a^2+e^{2 x}}} \, dx\)
 3.532 \(\int \frac{e^{3 x/4}}{(-2+e^{3 x/4}) \sqrt{-2+e^{3 x/4}+e^{3 x/2}}} \, dx\)
 3.533 \(\int e^{-2 x} (-3+e^{7 x})^{2/3} \, dx\)
 3.534 \(\int \frac{e^{2 x}}{(3-e^{x/2})^{3/4}} \, dx\)
 3.535 \(\int e^{-x/2} x^3 \, dx\)
 3.536 \(\int \frac{e^{-x/2}}{x^3} \, dx\)
 3.537 \(\int a^{3 x} x^2 \, dx\)
 3.538 \(\int e^{x^2} x (1+x^2) \, dx\)
 3.539 \(\int \frac{x}{(e^{-x}+e^x)^2} \, dx\)
 3.540 \(\int \frac{e^x (1-x-x^2)}{\sqrt{1-x^2}} \, dx\)
 3.541 \(\int e^{-3 x} \cos (2 x) \, dx\)
 3.542 \(\int \frac{\cos (\frac{x}{2})+\sin (\frac{x}{2})}{\sqrt [3]{e^x}} \, dx\)
 3.543 \(\int \frac{\cos (\frac{3 x}{2})}{\sqrt [4]{3^{3 x}}} \, dx\)
 3.544 \(\int e^{m x} \cos ^2(x) \, dx\)
 3.545 \(\int e^{m x} \sin ^3(x) \, dx\)
 3.546 \(\int \frac{\cos ^3(\frac{x}{3})}{\sqrt{e^x}} \, dx\)
 3.547 \(\int e^{2 x} \cos ^2(x) \sin ^2(x) \, dx\)
 3.548 \(\int e^{3 x} \cos ^2(\frac{3 x}{2}) \sin ^2(\frac{3 x}{2}) \, dx\)
 3.549 \(\int e^{m x} \tan ^2(x) \, dx\)
 3.550 \(\int e^{m x} \csc ^2(x) \, dx\)
 3.551 \(\int e^{m x} \sec ^3(x) \, dx\)
 3.552 \(\int \frac{e^x}{1+\cos (x)} \, dx\)
 3.553 \(\int \frac{e^x}{1-\cos (x)} \, dx\)
 3.554 \(\int \frac{e^x}{1+\sin (x)} \, dx\)
 3.555 \(\int \frac{e^x}{1-\sin (x)} \, dx\)
 3.556 \(\int \frac{e^x (1-\sin (x))}{1-\cos (x)} \, dx\)
 3.557 \(\int \frac{e^x (1+\sin (x))}{1-\cos (x)} \, dx\)
 3.558 \(\int \frac{e^x (1+\sin (x))}{1+\cos (x)} \, dx\)
 3.559 \(\int \frac{e^x (1-\sin (x))}{1+\cos (x)} \, dx\)
 3.560 \(\int \frac{e^x (1-\cos (x))}{1-\sin (x)} \, dx\)
 3.561 \(\int \frac{e^x (1+\cos (x))}{1-\sin (x)} \, dx\)
 3.562 \(\int \frac{e^x (1+\cos (x))}{1+\sin (x)} \, dx\)
 3.563 \(\int \frac{e^x (1-\cos (x))}{1+\sin (x)} \, dx\)
 3.564 \(\int e^x x \cos (x) \, dx\)
 3.565 \(\int e^x x^2 \sin (x) \, dx\)
 3.566 \(\int e^{-3 x} x^2 \sin (x) \, dx\)
 3.567 \(\int e^{x/2} x^2 \cos ^3(x) \, dx\)
 3.568 \(\int e^{2 x} x^2 \sin (4 x) \, dx\)
 3.569 \(\int e^{x/2} x^2 \cos (x) \sin ^2(x) \, dx\)
 3.570 \(\int \cosh (x) \, dx\)
 3.571 \(\int \sinh (x) \, dx\)
 3.572 \(\int \tanh (x) \, dx\)
 3.573 \(\int \coth (x) \, dx\)
 3.574 \(\int \text{sech}(x) \, dx\)
 3.575 \(\int \text{csch}(x) \, dx\)
 3.576 \(\int \cosh ^2(x) \, dx\)
 3.577 \(\int \sinh ^5(x) \, dx\)
 3.578 \(\int \tanh ^4(x) \, dx\)
 3.579 \(\int \text{csch}^3(x) \, dx\)
 3.580 \(\int \text{sech}^5(x) \, dx\)
 3.581 \(\int \sinh ^4(x) \tanh (x) \, dx\)
 3.582 \(\int \text{sech}^{\frac{23}{4}}(x) \sinh ^5(x) \, dx\)
 3.583 \(\int \frac{1}{a+b \cosh (x)} \, dx\)
 3.584 \(\int \frac{1}{(1+\cosh (x))^2} \, dx\)
 3.585 \(\int \frac{1}{a+b \tanh (x)} \, dx\)
 3.586 \(\int \frac{1}{a^2+b^2 \cosh ^2(x)} \, dx\)
 3.587 \(\int \frac{1}{a^2-b^2 \cosh ^2(x)} \, dx\)
 3.588 \(\int \frac{1}{1-\sinh ^4(x)} \, dx\)
 3.589 \(\int \frac{\cosh ^3(x)-\sinh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx\)
 3.590 \(\int \cosh (x) \cosh (2 x) \cosh (3 x) \, dx\)
 3.591 \(\int \cosh (\frac{3 x}{2}) \sinh (x) \sinh (\frac{5 x}{2}) \, dx\)
 3.592 \(\int \frac{\cosh (x) (-\cosh (2 x)+\tanh (x))}{\sqrt{\sinh (2 x)} (\sinh ^2(x)+\sinh (2 x))} \, dx\)
 3.593 \(\int \frac{\sinh (x)}{(-9+4 \cosh ^2(x))^{5/2}} \, dx\)
 3.594 \(\int \frac{\sinh ^2(x) \sinh (2 x)}{(1-\sinh ^2(x))^{3/2}} \, dx\)
 3.595 \(\int \frac{\cosh (x)}{\sqrt{\cosh (2 x)}} \, dx\)
 3.596 \(\int x \tanh ^2(x) \, dx\)
 3.597 \(\int x \coth ^2(x) \, dx\)
 3.598 \(\int \frac{x+\cosh (x)+\sinh (x)}{\cosh (x)-\sinh (x)} \, dx\)
 3.599 \(\int \frac{x+\cosh (x)+\sinh (x)}{1+\cosh (x)} \, dx\)
 3.600 \(\int e^{2 x} \text{csch}^4(x) \, dx\)
 3.601 \(\int e^{-2 x} \text{sech}^4(x) \, dx\)
 3.602 \(\int \frac{e^x}{\cosh (x)-\sinh (x)} \, dx\)
 3.603 \(\int \frac{e^{m x}}{\cosh (x)+\sinh (x)} \, dx\)
 3.604 \(\int \frac{e^x}{\cosh (x)+\sinh (x)} \, dx\)
 3.605 \(\int \frac{e^x}{1-\cosh (x)} \, dx\)
 3.606 \(\int \frac{e^x (1+\sinh (x))}{1+\cosh (x)} \, dx\)
 3.607 \(\int \frac{e^x (1-\sinh (x))}{1-\cosh (x)} \, dx\)
 3.608 \(\int x^m \log (x) \, dx\)
 3.609 \(\int x^m \log ^2(x) \, dx\)
 3.610 \(\int \frac{\log ^2(x)}{x^{5/2}} \, dx\)
 3.611 \(\int (a+b x) \log (x) \, dx\)
 3.612 \(\int (a+b x)^3 \log (x) \, dx\)
 3.613 \(\int (-1-8 \log ^2(x)+3 \log ^3(x)) \, dx\)
 3.614 \(\int (1+x^4) (1-2 \log (x)+\log ^3(x)) \, dx\)
 3.615 \(\int \frac{1}{x^3 \log ^4(x)} \, dx\)
 3.616 \(\int \frac{\log (x)}{a+b x} \, dx\)
 3.617 \(\int \frac{\log (x)}{(a+b x)^2} \, dx\)
 3.618 \(\int \frac{\log ^n(x)}{x} \, dx\)
 3.619 \(\int \frac{(a+b \log (x))^n}{x} \, dx\)
 3.620 \(\int \frac{1}{x (a+b \log (x))} \, dx\)
 3.621 \(\int \frac{(a+b \log (x))^{-n}}{x} \, dx\)
 3.622 \(\int \frac{1}{x \sqrt{a^2+\log ^2(x)}} \, dx\)
 3.623 \(\int \frac{1}{x \sqrt{-a^2+\log ^2(x)}} \, dx\)
 3.624 \(\int \frac{1}{x \sqrt{a^2-\log ^2(x)}} \, dx\)
 3.625 \(\int \frac{1}{x \log (x) \sqrt{a^2+\log ^2(x)}} \, dx\)
 3.626 \(\int \frac{1}{x \log (x) \sqrt{a^2-\log ^2(x)}} \, dx\)
 3.627 \(\int \frac{1}{x \log (x) \sqrt{-a^2+\log ^2(x)}} \, dx\)
 3.628 \(\int \frac{\log (\log (x))}{x} \, dx\)
 3.629 \(\int \frac{\log ^2(\log (x))}{x} \, dx\)
 3.630 \(\int \frac{\log ^3(\log (x))}{x} \, dx\)
 3.631 \(\int \frac{\log ^4(\log (x))}{x} \, dx\)
 3.632 \(\int \frac{\log ^n(\log (x))}{x} \, dx\)
 3.633 \(\int \frac{\cot (x)}{\log (\sin (x))} \, dx\)
 3.634 \(\int (\cos (x)+\sec (x)) \tan (x) \, dx\)
 3.635 \(\int \log (\cosh (x)) \sinh (x) \, dx\)
 3.636 \(\int \log (\cosh (x)) \tanh (x) \, dx\)
 3.637 \(\int \log (x-\sqrt{1+x^2}) \, dx\)
 3.638 \(\int \frac{\log (-1+x)}{x^3} \, dx\)
 3.639 \(\int (-e^{-x}+e^x) \log (1+e^{2 x}) \, dx\)
 3.640 \(\int e^{3 x/2} \log (-1+e^x) \, dx\)
 3.641 \(\int \cos ^3(x) \log (\sin (x)) \, dx\)
 3.642 \(\int \log (\tan (x)) \sec ^4(x) \, dx\)
 3.643 \(\int \frac{\log (\cos (\frac{x}{2}))}{1+\cos (x)} \, dx\)
 3.644 \(\int \frac{\cos (x) \log (\sin (x))}{(1+\cos (x))^2} \, dx\)
 3.645 \(\int \frac{\cos ^{-1}(x)^2}{x^5} \, dx\)
 3.646 \(\int x^2 \sin ^{-1}(x)^2 \, dx\)
 3.647 \(\int x^3 \tan ^{-1}(x)^2 \, dx\)
 3.648 \(\int \frac{\tan ^{-1}(x)^2}{x^5} \, dx\)
 3.649 \(\int x^3 \csc ^{-1}(x)^2 \, dx\)
 3.650 \(\int \frac{\sec ^{-1}(x)^4}{x^5} \, dx\)
 3.651 \(\int \sqrt{1-x^2} \sin ^{-1}(x) \, dx\)
 3.652 \(\int \sqrt{1-x^2} \cos ^{-1}(x) \, dx\)
 3.653 \(\int x \sqrt{1-x^2} \cos ^{-1}(x) \, dx\)
 3.654 \(\int (1-x^2)^{3/2} \sin ^{-1}(x) \, dx\)
 3.655 \(\int x (1-x^2)^{3/2} \sin ^{-1}(x) \, dx\)
 3.656 \(\int x^3 (1-x^2)^{3/2} \cos ^{-1}(x) \, dx\)
 3.657 \(\int \frac{(1-x^2)^{3/2} \cos ^{-1}(x)}{x} \, dx\)
 3.658 \(\int \frac{(1-x^2)^{3/2} \sin ^{-1}(x)}{x^6} \, dx\)
 3.659 \(\int \frac{x^2 \sin ^{-1}(x)}{\sqrt{1-x^2}} \, dx\)
 3.660 \(\int \frac{x^4 \sin ^{-1}(x)}{\sqrt{1-x^2}} \, dx\)
 3.661 \(\int \frac{x \sin ^{-1}(x)}{(1-x^2)^{3/2}} \, dx\)
 3.662 \(\int \frac{x \cos ^{-1}(x)}{(1-x^2)^{3/2}} \, dx\)
 3.663 \(\int \frac{\sin ^{-1}(x)}{(1-x^2)^{5/2}} \, dx\)
 3.664 \(\int \frac{x^3 \sin ^{-1}(x)}{(1-x^2)^{3/2}} \, dx\)
 3.665 \(\int \frac{\sin ^{-1}(x)}{x (1-x^2)^{3/2}} \, dx\)
 3.666 \(\int \frac{\cos ^{-1}(x)}{x^4 \sqrt{1-x^2}} \, dx\)
 3.667 \(\int x \sqrt{1-x^2} \cos ^{-1}(x)^2 \, dx\)
 3.668 \(\int \frac{x^2 \sin ^{-1}(x)^3}{\sqrt{1-x^2}} \, dx\)
 3.669 \(\int \frac{x \tan ^{-1}(x)}{(1+x^2)^2} \, dx\)
 3.670 \(\int \frac{x \tan ^{-1}(x)}{(1+x^2)^3} \, dx\)
 3.671 \(\int \frac{x^2 \tan ^{-1}(x)}{1+x^2} \, dx\)
 3.672 \(\int \frac{x^3 \tan ^{-1}(x)}{1+x^2} \, dx\)
 3.673 \(\int \frac{x^2 \tan ^{-1}(x)}{(1+x^2)^2} \, dx\)
 3.674 \(\int \frac{x^3 \tan ^{-1}(x)}{(1+x^2)^2} \, dx\)
 3.675 \(\int \frac{x^5 \tan ^{-1}(x)}{(1+x^2)^2} \, dx\)
 3.676 \(\int \frac{(1+x^2) \tan ^{-1}(x)}{x^2} \, dx\)
 3.677 \(\int \frac{(1+x^2) \tan ^{-1}(x)}{x^5} \, dx\)
 3.678 \(\int \frac{(1+x^2)^2 \tan ^{-1}(x)}{x^5} \, dx\)
 3.679 \(\int \frac{\tan ^{-1}(x)}{x^2 (1+x^2)} \, dx\)
 3.680 \(\int \frac{\tan ^{-1}(x)^2}{x^3} \, dx\)
 3.681 \(\int \frac{(1+x^2) \tan ^{-1}(x)^2}{x^5} \, dx\)
 3.682 \(\int \frac{x^3 \tan ^{-1}(x)^2}{(1+x^2)^3} \, dx\)
 3.683 \(\int \frac{\sqrt{-1+x^2} \sec ^{-1}(x)}{x^2} \, dx\)
 3.684 \(\int \frac{(-1+x^2)^{5/2} \csc ^{-1}(x)}{x^3} \, dx\)
 3.685 \(\int \frac{\sqrt{-1+x^2} \sec ^{-1}(x)}{x^4} \, dx\)
 3.686 \(\int \frac{\sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\)
 3.687 \(\int \frac{x^2 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\)
 3.688 \(\int \frac{x^3 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\)
 3.689 \(\int \frac{x^6 \sec ^{-1}(x)}{(-1+x^2)^{5/2}} \, dx\)
 3.690 \(\int \frac{\sec ^{-1}(x)}{x^2 \sqrt{-1+x^2}} \, dx\)
 3.691 \(\int \frac{\csc ^{-1}(x)}{x^2 (-1+x^2)^{5/2}} \, dx\)
 3.692 \(\int \frac{\csc ^{-1}(x)^4}{x^2 \sqrt{-1+x^2}} \, dx\)
 3.693 \(\int \frac{(-1+x^2)^{3/2} \sec ^{-1}(x)^2}{x^5} \, dx\)
 3.694 \(\int \frac{\sqrt{-1+x^2} \sec ^{-1}(x)^3}{x^4} \, dx\)
 3.695 \(\int \sin ^{-1}(\sqrt{\frac{-a+x}{a+x}}) \, dx\)
 3.696 \(\int \tan ^{-1}(\sqrt{\frac{-a+x}{a+x}}) \, dx\)
 3.697 \(\int \frac{\tan ^{-1}(x)}{(1+x)^3} \, dx\)
 3.698 \(\int -\frac{\tan ^{-1}(a-x)}{a+x} \, dx\)
 3.699 \(\int \frac{\sin ^{-1}(\sqrt{1-x^2})}{\sqrt{1-x^2}} \, dx\)
 3.700 \(\int \frac{x \tan ^{-1}(\sqrt{1+x^2})}{\sqrt{1+x^2}} \, dx\)
 3.701 \(\int \frac{\sin ^{-1}(x)}{(1-x)^{5/2}} \, dx\)
 3.702 \(\int (-1+x)^{5/2} \csc ^{-1}(x) \, dx\)
 3.703 \(\int \sin ^{-1}(\sinh (x)) \text{sech}^4(x) \, dx\)
 3.704 \(\int \cot ^{-1}(\cosh (x)) \coth (x) \text{csch}^3(x) \, dx\)
 3.705 \(\int e^x \sin ^{-1}(\tanh (x)) \, dx\)