3.1 \(\int (1+x+x^2) \, dx\)
 3.2 \(\int x^2 (x+2 x^2)^2 \, dx\)
 3.3 \(\int x (1+2 x+x^2) \, dx\)
 3.4 \(\int \frac{1}{x} \, dx\)
 3.5 \(\int \frac{(1+x)^3}{(-1+x)^4} \, dx\)
 3.6 \(\int \frac{1}{(-1+x) x (1+x)^2} \, dx\)
 3.7 \(\int \frac{b+a x}{(-p+x) (-q+x)} \, dx\)
 3.8 \(\int \frac{1}{c+b x+a x^2} \, dx\)
 3.9 \(\int \frac{b+a x}{1+x^2} \, dx\)
 3.10 \(\int \frac{1}{3-2 x+x^2} \, dx\)
 3.11 \(\int \frac{1}{(-1+x)^2 (1+x^2)^2} \, dx\)
 3.12 \(\int \frac{x}{(-a+x) (-b+x) (-c+x)} \, dx\)
 3.13 \(\int \frac{x}{(a^2+x^2) (b^2+x^2)} \, dx\)
 3.14 \(\int \frac{x^2}{(a^2+x^2) (b^2+x^2)} \, dx\)
 3.15 \(\int \frac{x}{(-1+x) (1+x^2)} \, dx\)
 3.16 \(\int \frac{x}{1+x^3} \, dx\)
 3.17 \(\int \frac{x^3}{(-1+x)^2 (1+x^3)} \, dx\)
 3.18 \(\int \frac{1}{1+x^4} \, dx\)
 3.19 \(\int \frac{x^2}{1+x^4} \, dx\)
 3.20 \(\int \frac{1}{1+x^2+x^4} \, dx\)
 3.21 \(\int (a+b x)^p \, dx\)
 3.22 \(\int x (a+b x)^p \, dx\)
 3.23 \(\int x^2 (a+b x)^p \, dx\)
 3.24 \(\int \frac{1}{a+b x} \, dx\)
 3.25 \(\int \frac{1}{(a+b x)^2} \, dx\)
 3.26 \(\int \frac{x}{a+b x} \, dx\)
 3.27 \(\int \frac{x^2}{a+b x} \, dx\)
 3.28 \(\int \frac{1}{x (a+b x)} \, dx\)
 3.29 \(\int \frac{1}{x^2 (a+b x)} \, dx\)
 3.30 \(\int \frac{1}{x^2 (a+b x)^2} \, dx\)
 3.31 \(\int \frac{1}{c^2+x^2} \, dx\)
 3.32 \(\int \frac{1}{c^2-x^2} \, dx\)
 3.33 \(\int \frac{1}{-1+2 x^3} \, dx\)
 3.34 \(\int \frac{1}{-2+x^3} \, dx\)
 3.35 \(\int \frac{1}{-b+a x^3} \, dx\)
 3.36 \(\int \frac{1}{-2+x^4} \, dx\)
 3.37 \(\int \frac{1}{-1+5 x^4} \, dx\)
 3.38 \(\int \frac{1}{7+3 x^4} \, dx\)
 3.39 \(\int \frac{1}{-1+3 x^2+x^4} \, dx\)
 3.40 \(\int \frac{1}{-1-3 x^2+x^4} \, dx\)
 3.41 \(\int \frac{1}{1-3 x^2+x^4} \, dx\)
 3.42 \(\int \frac{1}{1-4 x^2+x^4} \, dx\)
 3.43 \(\int \frac{1}{1+4 x^2+x^4} \, dx\)
 3.44 \(\int \frac{1}{2+x^2+x^4} \, dx\)
 3.45 \(\int \frac{1}{2-x^2+x^4} \, dx\)
 3.46 \(\int \frac{1}{-1+x^6} \, dx\)
 3.47 \(\int \frac{1}{-2+x^6} \, dx\)
 3.48 \(\int \frac{1}{2+x^6} \, dx\)
 3.49 \(\int \frac{1}{1+x^8} \, dx\)
 3.50 \(\int \frac{1}{-1+x^8} \, dx\)
 3.51 \(\int \frac{1}{1-x^4+x^8} \, dx\)
 3.52 \(\int \frac{x^7}{1+x^{12}} \, dx\)
 3.53 \(\int \log (x) \, dx\)
 3.54 \(\int x \log (x) \, dx\)
 3.55 \(\int x^2 \log (x) \, dx\)
 3.56 \(\int x^p \log (x) \, dx\)
 3.57 \(\int \log ^2(x) \, dx\)
 3.58 \(\int x^9 \log ^{11}(x) \, dx\)
 3.59 \(\int \frac{\log ^2(x)}{x} \, dx\)
 3.60 \(\int \frac{1}{\log (x)} \, dx\)
 3.61 \(\int \frac{1}{\log (1+x)} \, dx\)
 3.62 \(\int \frac{1}{x \log (x)} \, dx\)
 3.63 \(\int \frac{1}{x^2 \log ^2(x)} \, dx\)
 3.64 \(\int \frac{\log ^p(x)}{x} \, dx\)
 3.65 \(\int (b+a x) \log (x) \, dx\)
 3.66 \(\int (b+a x)^2 \log (x) \, dx\)
 3.67 \(\int \frac{\log (x)}{(b+a x)^2} \, dx\)
 3.68 \(\int x \log (b+a x) \, dx\)
 3.69 \(\int x^2 \log (b+a x) \, dx\)
 3.70 \(\int \log (a^2+x^2) \, dx\)
 3.71 \(\int x \log (a^2+x^2) \, dx\)
 3.72 \(\int x^2 \log (a^2+x^2) \, dx\)
 3.73 \(\int x^4 \log (a^2+x^2) \, dx\)
 3.74 \(\int \log (-a^2+x^2) \, dx\)
 3.75 \(\int \log (\log (\log (\log (x)))) \, dx\)
 3.76 \(\int \sin (x) \, dx\)
 3.77 \(\int \cos (x) \, dx\)
 3.78 \(\int \tan (x) \, dx\)
 3.79 \(\int \cot (x) \, dx\)
 3.80 \(\int \frac{1}{(1+\tan (x))^2} \, dx\)
 3.81 \(\int \sec (x) \, dx\)
 3.82 \(\int \csc (x) \, dx\)
 3.83 \(\int \sin ^2(x) \, dx\)
 3.84 \(\int x^3 \sin (x^2) \, dx\)
 3.85 \(\int \sin ^3(x) \, dx\)
 3.86 \(\int \sin ^p(x) \, dx\)
 3.87 \(\int \cos (x) (1+\sin ^2(x))^2 \, dx\)
 3.88 \(\int \cos ^2(x) \, dx\)
 3.89 \(\int \cos ^3(x) \, dx\)
 3.90 \(\int \sec ^2(x) \, dx\)
 3.91 \(\int \sin (x) \sin (2 x) \, dx\)
 3.92 \(\int x \sin (x) \, dx\)
 3.93 \(\int x^2 \sin (x) \, dx\)
 3.94 \(\int x \sin ^2(x) \, dx\)
 3.95 \(\int x^2 \sin ^2(x) \, dx\)
 3.96 \(\int x \sin ^3(x) \, dx\)
 3.97 \(\int x \cos (x) \, dx\)
 3.98 \(\int x^2 \cos (x) \, dx\)
 3.99 \(\int x \cos ^2(x) \, dx\)
 3.100 \(\int x^2 \cos ^2(x) \, dx\)
 3.101 \(\int x \cos ^3(x) \, dx\)
 3.102 \(\int \frac{\sin (x)}{x} \, dx\)
 3.103 \(\int \frac{\cos (x)}{x} \, dx\)
 3.104 \(\int \frac{\sin (x)}{x^2} \, dx\)
 3.105 \(\int \frac{\sin ^2(x)}{x} \, dx\)
 3.106 \(\int \tan ^3(x) \, dx\)
 3.107 \(\int \sin (a+b x) \, dx\)
 3.108 \(\int \cos (a+b x) \, dx\)
 3.109 \(\int \tan (a+b x) \, dx\)
 3.110 \(\int \cot (a+b x) \, dx\)
 3.111 \(\int \csc (a+b x) \, dx\)
 3.112 \(\int \sec (a+b x) \, dx\)
 3.113 \(\int \sin ^2(a+b x) \, dx\)
 3.114 \(\int \sin ^3(a+b x) \, dx\)
 3.115 \(\int \cos ^2(a+b x) \, dx\)
 3.116 \(\int \cos ^3(a+b x) \, dx\)
 3.117 \(\int \sec ^2(a+b x) \, dx\)
 3.118 \(\int \frac{1}{1+\cos (x)} \, dx\)
 3.119 \(\int \frac{1}{1-\cos (x)} \, dx\)
 3.120 \(\int \frac{1}{1+\sin (x)} \, dx\)
 3.121 \(\int \frac{1}{1-\sin (x)} \, dx\)
 3.122 \(\int \frac{1}{a+b \sin (x)} \, dx\)
 3.123 \(\int \frac{1}{a+\cos (x)+b \sin (x)} \, dx\)
 3.124 \(\int x^2 \sin ^2(a+b x) \, dx\)
 3.125 \(\int \cos (x) \cos (2 x) \, dx\)
 3.126 \(\int x^2 \cos ^2(a+b x) \, dx\)
 3.127 \(\int \cot ^3(x) \, dx\)
 3.128 \(\int x^3 \tan ^4(x) \, dx\)
 3.129 \(\int x^3 \tan ^6(x) \, dx\)
 3.130 \(\int x \tan ^2(x) \, dx\)
 3.131 \(\int \cos (3 x) \sin (2 x) \, dx\)
 3.132 \(\int \cos ^2(x) \sin ^2(x) \, dx\)
 3.133 \(\int \csc ^2(x) \sec ^2(x) \, dx\)
 3.134 \(\int d^x \sin (x) \, dx\)
 3.135 \(\int d^x \cos (x) \, dx\)
 3.136 \(\int d^x x \sin (x) \, dx\)
 3.137 \(\int d^x x \cos (x) \, dx\)
 3.138 \(\int d^x x^2 \sin (x) \, dx\)
 3.139 \(\int d^x x^2 \cos (x) \, dx\)
 3.140 \(\int d^x x^3 \sin (x) \, dx\)
 3.141 \(\int d^x x^3 \cos (x) \, dx\)
 3.142 \(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\)
 3.143 \(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\)
 3.144 \(\int x^2 \sin ^3(k x) \, dx\)
 3.145 \(\int x \cos (k \csc (x)) \cot (x) \csc (x) \, dx\)
 3.146 \(\int \cot (\frac{x}{2}) \cot (x) \, dx\)
 3.147 \(\int \frac{\sin (a x)}{(b+c \sin (a x))^2} \, dx\)
 3.148 \(\int \sin (\log (x)) \, dx\)
 3.149 \(\int \cos (\log (x)) \, dx\)
 3.150 \(\int e^x \, dx\)
 3.151 \(\int a^x \, dx\)
 3.152 \(\int e^{a x} \, dx\)
 3.153 \(\int \frac{e^{a x}}{x} \, dx\)
 3.154 \(\int \frac{1}{a+b e^{m x}} \, dx\)
 3.155 \(\int \frac{e^{2 x}}{1+e^x} \, dx\)
 3.156 \(\int e^{2 x+a x} \, dx\)
 3.157 \(\int \frac{1}{b e^{-m x}+a e^{m x}} \, dx\)
 3.158 \(\int e^{a x} x \, dx\)
 3.159 \(\int e^x x^{20} \, dx\)
 3.160 \(\int a^x b^{-x} \, dx\)
 3.161 \(\int a^x b^x \, dx\)
 3.162 \(\int \frac{a^x}{x^2} \, dx\)
 3.163 \(\int \frac{a^x x}{(1+b x)^2} \, dx\)
 3.164 \(\int \frac{e^{a x} x}{(1+a x)^2} \, dx\)
 3.165 \(\int k^{x^2} x \, dx\)
 3.166 \(\int e^{x^2} \, dx\)
 3.167 \(\int e^{x^2} x \, dx\)
 3.168 \(\int \frac{e^{\frac{1}{x}} (1+x)}{x^4} \, dx\)
 3.169 \(\int \frac{e^{1-e^{x^2} x+2 x^2} (x+2 x^3)}{(1-e^{x^2} x)^2} \, dx\)
 3.170 \(\int e^{e^{e^{e^x}}} \, dx\)
 3.171 \(\int e^x \log (x) \, dx\)
 3.172 \(\int e^x x \log (x) \, dx\)
 3.173 \(\int e^{2 x} \log (e^x) \, dx\)
 3.174 \(\int (2 x+\sqrt{2} x^2) \, dx\)
 3.175 \(\int \frac{\log (x)}{\sqrt{b+a x}} \, dx\)
 3.176 \(\int \sqrt{a+b x} \sqrt{c+d x} \, dx\)
 3.177 \(\int \sqrt{a+b x} \, dx\)
 3.178 \(\int x \sqrt{a+b x} \, dx\)
 3.179 \(\int x^2 \sqrt{a+b x} \, dx\)
 3.180 \(\int \frac{\sqrt{a+b x}}{x} \, dx\)
 3.181 \(\int \frac{\sqrt{a+b x}}{x^2} \, dx\)
 3.182 \(\int \frac{1}{\sqrt{a+b x}} \, dx\)
 3.183 \(\int \frac{x}{\sqrt{a+b x}} \, dx\)
 3.184 \(\int \frac{x^2}{\sqrt{a+b x}} \, dx\)
 3.185 \(\int \frac{1}{x \sqrt{a+b x}} \, dx\)
 3.186 \(\int \frac{1}{x^2 \sqrt{a+b x}} \, dx\)
 3.187 \(\int (a+b x)^{p/2} \, dx\)
 3.188 \(\int x (a+b x)^{p/2} \, dx\)
 3.189 \(\int \tan ^{-1}(\frac{-\sqrt{2}+2 x}{\sqrt{2}}) \, dx\)
 3.190 \(\int \frac{1}{\sqrt{-1+x^2}} \, dx\)
 3.191 \(\int \sqrt{x} \sqrt{1+x} \, dx\)
 3.192 \(\int \sin (\sqrt{x}) \, dx\)
 3.193 \(\int \frac{x}{(1-x^2)^{9/8}} \, dx\)
 3.194 \(\int \frac{x}{\sqrt{1-x^4}} \, dx\)
 3.195 \(\int \frac{1}{x \sqrt{1+x^4}} \, dx\)
 3.196 \(\int \frac{x}{\sqrt{1+x^2+x^4}} \, dx\)
 3.197 \(\int \frac{1}{x \sqrt{-1+x^2-x^4}} \, dx\)
 3.198 \(\int \frac{1+x}{(1-x)^2 \sqrt{1+x^2}} \, dx\)
 3.199 \(\int \frac{1}{\sqrt{1+x^2}} \, dx\)
 3.200 \(\int \frac{\sqrt{x} \sqrt{1+x}+\sqrt{x} \sqrt{2+x}+\sqrt{1+x} \sqrt{2+x}}{2 \sqrt{x} \sqrt{1+x} \sqrt{2+x}} \, dx\)
 3.201 \(\int \frac{-2 \sqrt{1+x^3}+5 x^4 \sqrt{1+x^3}-3 x^2 \sqrt{1-2 x+x^5}}{2 \sqrt{1+x^3} \sqrt{1-2 x+x^5}} \, dx\)
 3.202 \(\int (\frac{10}{\sqrt{-4+x^2}}+\frac{1}{\sqrt{-1+x^2}}) \, dx\)
 3.203 \(\int \frac{\sqrt{x+\sqrt{a^2+x^2}}}{x} \, dx\)
 3.204 \(\int \frac{3 x^2}{2 (1+x^3+\sqrt{1+x^3})} \, dx\)
 3.205 \(\int \frac{1}{\sqrt{-\alpha ^2+2 h r^2}} \, dr\)
 3.206 \(\int \frac{1}{r \sqrt{-\alpha ^2-\epsilon ^2+2 h r^2}} \, dr\)
 3.207 \(\int \frac{1}{r \sqrt{-\alpha ^2-2 k r+2 h r^2}} \, dr\)
 3.208 \(\int \frac{1}{r \sqrt{-\alpha ^2-\epsilon ^2-2 k r+2 h r^2}} \, dr\)
 3.209 \(\int \frac{r}{\sqrt{-\alpha ^2+2 e r^2}} \, dr\)
 3.210 \(\int \frac{r}{\sqrt{-\alpha ^2-\epsilon ^2+2 e r^2}} \, dr\)
 3.211 \(\int \frac{r}{\sqrt{-\alpha ^2+2 e r^2-2 k r^4}} \, dr\)
 3.212 \(\int \frac{r}{\sqrt{-\alpha ^2-2 k r+2 e r^2}} \, dr\)
 3.213 \(\int \frac{1}{r \sqrt{-\alpha ^2+2 h r^2-2 k r^4}} \, dr\)
 3.214 \(\int \frac{1}{r \sqrt{-\alpha ^2-\epsilon ^2+2 h r^2-2 k r^4}} \, dr\)
 3.215 \(\int a \cos (5+3 x) \sin ^2(5+3 x) \, dx\)
 3.216 \(\int \frac{\log (x^2)}{x^3} \, dx\)
 3.217 \(\int x \sin (a+x) \, dx\)
 3.218 \(\int \frac{e^{-x} (-1+(1-x) \log (x))}{\log ^2(x)} \, dx\)
 3.219 \(\int \frac{x^3}{b+a x^2} \, dx\)
 3.220 \(\int \frac{\sqrt{x}}{(1+x)^{7/2}} \, dx\)
 3.221 \(\int \frac{1}{x (1+x)} \, dx\)
 3.222 \(\int \frac{1}{\sqrt{x} (-1+2 x)} \, dx\)
 3.223 \(\int \sqrt{x} (1+x^2) \, dx\)
 3.224 \(\int \frac{\sqrt [3]{-a+x}}{x} \, dx\)
 3.225 \(\int x \sinh (x) \, dx\)
 3.226 \(\int x \cosh (x) \, dx\)
 3.227 \(\int \tanh (2 x) \, dx\)
 3.228 \(\int \frac{-1+i \text{eps} \sinh (x)}{i a-x+i \text{eps} \cosh (x)} \, dx\)
 3.229 \(\int \cos ^2(x) \sin (3+2 x) \, dx\)
 3.230 \(\int x \tan ^{-1}(x) \, dx\)
 3.231 \(\int x \cot ^{-1}(x) \, dx\)
 3.232 \(\int x \log (a+x^2) \, dx\)
 3.233 \(\int \cos (x) \sin (a+x) \, dx\)
 3.234 \(\int \cos (a+x) \sin (x) \, dx\)
 3.235 \(\int \sqrt{1+\sin (x)} \, dx\)
 3.236 \(\int \sqrt{1-\sin (x)} \, dx\)
 3.237 \(\int \sqrt{1+\cos (x)} \, dx\)
 3.238 \(\int \sqrt{1-\cos (x)} \, dx\)
 3.239 \(\int \frac{1}{-\sqrt{-1+x}+\sqrt{x}} \, dx\)
 3.240 \(\int \frac{1}{1-\sqrt{1+x}} \, dx\)
 3.241 \(\int \frac{x}{\sqrt{36+x^4}} \, dx\)
 3.242 \(\int \frac{1}{\sqrt [3]{x}+\sqrt{x}} \, dx\)
 3.243 \(\int \log (2+3 x^2) \, dx\)
 3.244 \(\int \cot (x) \, dx\)
 3.245 \(\int \cot ^4(x) \, dx\)
 3.246 \(\int \tanh (x) \, dx\)
 3.247 \(\int \coth (x) \, dx\)
 3.248 \(\int b^x \, dx\)
 3.249 \(\int \sqrt{2+\frac{1}{x^4}+x^4} \, dx\)
 3.250 \(\int \frac{1+2 x}{2+3 x} \, dx\)
 3.251 \(\int x \log (x+\sqrt{1+x^2}) \, dx\)
 3.252 \(\int x (1+e^x \sin (x))^2 \, dx\)
 3.253 \(\int e^x x \cos (x) \, dx\)
 3.254 \(\int \frac{1}{(-3+x)^4} \, dx\)
 3.255 \(\int \frac{x}{-1+x^3} \, dx\)
 3.256 \(\int \frac{x}{-1+x^4} \, dx\)
 3.257 \(\int \frac{(1+x^3) \log (x)}{2+x^4} \, dx\)
 3.258 \(\int (\log (x)+\log (1+x)+\log (2+x)) \, dx\)
 3.259 \(\int \frac{1}{5+x^3} \, dx\)
 3.260 \(\int \frac{1}{\sqrt{1+x^2}} \, dx\)
 3.261 \(\int \sqrt{3+x^2} \, dx\)
 3.262 \(\int \frac{x}{(1+x)^2} \, dx\)
 3.263 \(\int \sin ^{-1}(x) \, dx\)
 3.264 \(\int x^2 \sin ^{-1}(x) \, dx\)
 3.265 \(\int \frac{\sec ^2(x)}{1+\sec ^2(x)-3 \tan (x)} \, dx\)
 3.266 \(\int \cos ^2(x) \, dx\)
 3.267 \(\int \frac{-2-3 x+5 x^2}{(-2+x) x^2} \, dx\)
 3.268 \(\int \frac{1}{\sqrt{9+4 x^2}} \, dx\)
 3.269 \(\int \frac{1}{\sqrt{4+x^2}} \, dx\)
 3.270 \(\int \frac{1}{10-12 x+9 x^2} \, dx\)
 3.271 \(\int \frac{1}{x^4-2 x^5+2 x^6-2 x^7+x^8} \, dx\)
 3.272 \(\int \frac{d+c x+b x^2+a x^3}{(-3+x) x (1+x)} \, dx\)
 3.273 \(\int \frac{1}{(2-\log (1+x^2))^5} \, dx\)
 3.274 \(\int (\frac{e^{x^2}}{x}+2 e^{x^2} x \log (x)+\frac{-2+\log (x)}{(x+\log ^2(x))^2}+\frac{1+\frac{1}{x}+\frac{2 \log (x)}{x}}{x+\log ^2(x)}) \, dx\)
 3.275 \(\int e^{\frac{x}{2}+x z} x^4 \sin ^4(\pi z) \, dz\)
 3.276 \(\int \text{Erf}(x) \, dx\)
 3.277 \(\int \text{Erf}(a+x) \, dx\)
 3.278 \(\int \frac{-8-8 x-x^2-3 x^3+7 x^4+4 x^5+2 x^6}{(-1+2 x^2)^2 \sqrt{1+2 x^2+4 x^3+x^4}} \, dx\)
 3.279 \(\int \frac{(1+2 y) \sqrt{1-5 y-5 y^2}}{y (1+y) (2+y) \sqrt{1-y-y^2}} \, dy\)
 3.280 \(\int \frac{x (-\sqrt{-4+x^2}+x^2 \sqrt{-4+x^2}-4 \sqrt{-1+x^2}+x^2 \sqrt{-1+x^2})}{(4-5 x^2+x^4) (1+\sqrt{-4+x^2}+\sqrt{-1+x^2})} \, dx\)
 3.281 \(\int (\sqrt{9-4 \sqrt{2}} x-\sqrt{2} \sqrt{1+4 x+2 x^2+x^4}) \, dx\)
 3.282 \(\int \frac{e^{-\frac{x}{y}} (\pi ^2 (-3 \text{mc}^8+4 \text{mc}^9+24 \text{mc}^6 x-48 \text{mc}^7 x-144 \text{mc}^5 x^2-24 \text{mc}^2 x^3+176 \text{mc}^3 x^3+3 x^4+12 \text{mc} x^4)+12 \text{mc}^3 \pi ^2 (3 \text{mc}-12 \text{mc}^2-8 x) x^2 \log (\frac{x}{\text{mc}^2}))}{384 x^2} \, dx\)
 3.283 \(\int \sec (x) \sin (2 x) \, dx\)
 3.284 \(\int \frac{3+3 x-4 x^2-4 x^3-7 x^6+4 x^7+10 x^8+7 x^{13}}{1+2 x-x^2-4 x^3-2 x^4-2 x^7-2 x^8+x^{14}} \, dx\)