Chapter 3
Listing of integrals

 3.1 \(\int x^n \, dx\)
 3.2 \(\int e^x \, dx\)
 3.3 \(\int \frac{1}{x} \, dx\)
 3.4 \(\int a^x \, dx\)
 3.5 \(\int \sin (x) \, dx\)
 3.6 \(\int \cos (x) \, dx\)
 3.7 \(\int \sec ^2(x) \, dx\)
 3.8 \(\int \csc ^2(x) \, dx\)
 3.9 \(\int \sec (x) \tan (x) \, dx\)
 3.10 \(\int \cot (x) \csc (x) \, dx\)
 3.11 \(\int \sinh (x) \, dx\)
 3.12 \(\int \cosh (x) \, dx\)
 3.13 \(\int \tan (x) \, dx\)
 3.14 \(\int \cot (x) \, dx\)
 3.15 \(\int x \sin (x) \, dx\)
 3.16 \(\int \log (x) \, dx\)
 3.17 \(\int e^x x^2 \, dx\)
 3.18 \(\int e^x \sin (x) \, dx\)
 3.19 \(\int \tan ^{-1}(x) \, dx\)
 3.20 \(\int e^{2 x} x \, dx\)
 3.21 \(\int x \cos (x) \, dx\)
 3.22 \(\int x \sin (4 x) \, dx\)
 3.23 \(\int x \log (x) \, dx\)
 3.24 \(\int x^2 \cos (3 x) \, dx\)
 3.25 \(\int x^2 \sin (2 x) \, dx\)
 3.26 \(\int \log ^2(x) \, dx\)
 3.27 \(\int \sin ^{-1}(x) \, dx\)
 3.28 \(\int t \cos (t) \sin (t) \, dt\)
 3.29 \(\int t \sec ^2(t) \, dt\)
 3.30 \(\int t^2 \log (t) \, dt\)
 3.31 \(\int e^t t^3 \, dt\)
 3.32 \(\int e^{2 t} \sin (3 t) \, dt\)
 3.33 \(\int e^{-t} \cos (3 t) \, dt\)
 3.34 \(\int y \sinh (y) \, dy\)
 3.35 \(\int y \cosh (a y) \, dy\)
 3.36 \(\int e^{-t} t \, dt\)
 3.37 \(\int \sqrt{t} \log (t) \, dt\)
 3.38 \(\int x \cos (2 x) \, dx\)
 3.39 \(\int e^{-x} x^2 \, dx\)
 3.40 \(\int \cos ^{-1}(x) \, dx\)
 3.41 \(\int x \csc ^2(x) \, dx\)
 3.42 \(\int \cos (5 x) \sin (3 x) \, dx\)
 3.43 \(\int \sin (2 x) \sin (4 x) \, dx\)
 3.44 \(\int \cos (x) \log (\sin (x)) \, dx\)
 3.45 \(\int e^{x^2} x^3 \, dx\)
 3.46 \(\int e^x (3+2 x) \, dx\)
 3.47 \(\int 5^x x \, dx\)
 3.48 \(\int \cos (\log (x)) \, dx\)
 3.49 \(\int e^{\sqrt{x}} \, dx\)
 3.50 \(\int \log (\sqrt{x}) \, dx\)
 3.51 \(\int \sin (\log (x)) \, dx\)
 3.52 \(\int \sin (\sqrt{x}) \, dx\)
 3.53 \(\int x^5 \cos (x^3) \, dx\)
 3.54 \(\int e^{x^2} x^5 \, dx\)
 3.55 \(\int x \tan ^{-1}(x) \, dx\)
 3.56 \(\int x \cos (\pi x) \, dx\)
 3.57 \(\int \sqrt{x} \log (x) \, dx\)
 3.58 \(\int \sin ^2(3 x) \, dx\)
 3.59 \(\int \cos ^2(x) \, dx\)
 3.60 \(\int \cos ^4(x) \, dx\)
 3.61 \(\int \sin ^3(x) \, dx\)
 3.62 \(\int \cos ^4(x) \sin ^3(x) \, dx\)
 3.63 \(\int \cos ^3(x) \sin ^4(x) \, dx\)
 3.64 \(\int \cos ^2(x) \sin ^4(x) \, dx\)
 3.65 \(\int \cos ^2(x) \sin ^2(x) \, dx\)
 3.66 \(\int (1-\sin (2 x))^2 \, dx\)
 3.67 \(\int \cos (x) \sin (\frac{\pi }{6}+x) \, dx\)
 3.68 \(\int \cos ^5(x) \sin ^5(x) \, dx\)
 3.69 \(\int \sin ^6(x) \, dx\)
 3.70 \(\int \cos ^6(x) \, dx\)
 3.71 \(\int \cos ^4(2 x) \sin ^2(2 x) \, dx\)
 3.72 \(\int \sin ^5(x) \, dx\)
 3.73 \(\int \cos ^4(x) \sin ^4(x) \, dx\)
 3.74 \(\int \sqrt{\cos (x)} \sin ^3(x) \, dx\)
 3.75 \(\int \cos ^3(x) \sqrt{\sin (x)} \, dx\)
 3.76 \(\int \frac{\cos ^2(\sqrt{x})}{\sqrt{x}} \, dx\)
 3.77 \(\int x \sin ^3(x^2) \, dx\)
 3.78 \(\int \sin ^2(x) \tan (x) \, dx\)
 3.79 \(\int \cos ^2(x) \cot ^3(x) \, dx\)
 3.80 \(\int \sec (x) (1-\sin (x)) \, dx\)
 3.81 \(\int \frac{1}{1-\sin (x)} \, dx\)
 3.82 \(\int \tan ^2(x) \, dx\)
 3.83 \(\int \tan ^4(x) \, dx\)
 3.84 \(\int \sec ^4(x) \, dx\)
 3.85 \(\int \sec ^6(x) \, dx\)
 3.86 \(\int \sec ^2(x) \tan ^4(x) \, dx\)
 3.87 \(\int \sec ^4(x) \tan ^2(x) \, dx\)
 3.88 \(\int \sec ^3(x) \tan (x) \, dx\)
 3.89 \(\int \sec ^3(x) \tan ^3(x) \, dx\)
 3.90 \(\int \tan ^5(x) \, dx\)
 3.91 \(\int \tan ^6(x) \, dx\)
 3.92 \(\int \sec (x) \tan ^5(x) \, dx\)
 3.93 \(\int \sec ^3(x) \tan ^5(x) \, dx\)
 3.94 \(\int \sec ^6(x) \tan (x) \, dx\)
 3.95 \(\int \sec ^6(x) \tan ^3(x) \, dx\)
 3.96 \(\int \sec ^2(x) \tan (x) \, dx\)
 3.97 \(\int \sec (x) \tan ^2(x) \, dx\)
 3.98 \(\int \cot ^2(x) \, dx\)
 3.99 \(\int \cot ^3(x) \, dx\)
 3.100 \(\int \cot ^4(x) \csc ^4(x) \, dx\)
 3.101 \(\int \cot ^3(x) \csc ^4(x) \, dx\)
 3.102 \(\int \csc (x) \, dx\)
 3.103 \(\int \csc ^3(x) \, dx\)
 3.104 \(\int \cos (x) \cot (x) \, dx\)
 3.105 \(\int \csc ^4(x) \, dx\)
 3.106 \(\int \sin (2 x) \sin (5 x) \, dx\)
 3.107 \(\int \cos (x) \sin (3 x) \, dx\)
 3.108 \(\int \cos (3 x) \cos (4 x) \, dx\)
 3.109 \(\int \sin (3 x) \sin (6 x) \, dx\)
 3.110 \(\int \cos ^5(x) \sin (x) \, dx\)
 3.111 \(\int \cos (x) \cos (2 x) \cos (3 x) \, dx\)
 3.112 \(\int \cos ^2(x) (1-\tan ^2(x)) \, dx\)
 3.113 \(\int \csc (2 x) (\cos (x)+\sin (x)) \, dx\)
 3.114 \(\int \sin ^2(x) \tan (x) \, dx\)
 3.115 \(\int \cos ^2(x) \cot ^3(x) \, dx\)
 3.116 \(\int \sec ^3(x) \tan (x) \, dx\)
 3.117 \(\int \sec ^3(x) \tan ^3(x) \, dx\)
 3.118 \(\int \frac{\sqrt{9-x^2}}{x^2} \, dx\)
 3.119 \(\int \frac{1}{x^2 \sqrt{4+x^2}} \, dx\)
 3.120 \(\int \frac{x}{\sqrt{4+x^2}} \, dx\)
 3.121 \(\int \frac{1}{\sqrt{-a^2+x^2}} \, dx\)
 3.122 \(\int \frac{x^3}{(9+4 x^2)^{3/2}} \, dx\)
 3.123 \(\int \frac{x}{\sqrt{3-2 x-x^2}} \, dx\)
 3.124 \(\int \frac{1}{x^2 \sqrt{1-x^2}} \, dx\)
 3.125 \(\int x^3 \sqrt{4-x^2} \, dx\)
 3.126 \(\int \frac{x}{\sqrt{1-x^2}} \, dx\)
 3.127 \(\int x \sqrt{4-x^2} \, dx\)
 3.128 \(\int \sqrt{1-4 x^2} \, dx\)
 3.129 \(\int \frac{x^3}{\sqrt{4+x^2}} \, dx\)
 3.130 \(\int \frac{1}{\sqrt{9+x^2}} \, dx\)
 3.131 \(\int \sqrt{1+x^2} \, dx\)
 3.132 \(\int \frac{1}{x^3 \sqrt{-16+x^2}} \, dx\)
 3.133 \(\int \frac{\sqrt{-a^2+x^2}}{x^4} \, dx\)
 3.134 \(\int \frac{\sqrt{-4+9 x^2}}{x} \, dx\)
 3.135 \(\int \frac{1}{x^2 \sqrt{-9+16 x^2}} \, dx\)
 3.136 \(\int \frac{x^2}{(a^2-x^2)^{3/2}} \, dx\)
 3.137 \(\int \frac{x^2}{\sqrt{5-x^2}} \, dx\)
 3.138 \(\int \frac{1}{x \sqrt{3+x^2}} \, dx\)
 3.139 \(\int \frac{x}{(4+x^2)^{5/2}} \, dx\)
 3.140 \(\int x^3 \sqrt{4-9 x^2} \, dx\)
 3.141 \(\int x^2 \sqrt{9-x^2} \, dx\)
 3.142 \(\int 5 x \sqrt{1+x^2} \, dx\)
 3.143 \(\int \frac{1}{(-25+4 x^2)^{3/2}} \, dx\)
 3.144 \(\int \sqrt{2 x-x^2} \, dx\)
 3.145 \(\int \frac{1}{\sqrt{8+4 x+x^2}} \, dx\)
 3.146 \(\int \frac{1}{\sqrt{-8+6 x+9 x^2}} \, dx\)
 3.147 \(\int \frac{x^2}{\sqrt{4 x-x^2}} \, dx\)
 3.148 \(\int \frac{1}{(2+2 x+x^2)^2} \, dx\)
 3.149 \(\int \frac{1}{(5-4 x-x^2)^{5/2}} \, dx\)
 3.150 \(\int e^t \sqrt{9-e^{2 t}} \, dt\)
 3.151 \(\int \sqrt{-9+e^{2 t}} \, dt\)
 3.152 \(\int \frac{1}{\sqrt{a^2+x^2}} \, dx\)
 3.153 \(\int \frac{5+x}{-2+x+x^2} \, dx\)
 3.154 \(\int \frac{x+x^3}{-1+x} \, dx\)
 3.155 \(\int \frac{-1+2 x+x^2}{-2 x+3 x^2+2 x^3} \, dx\)
 3.156 \(\int \frac{1+4 x-2 x^2+x^4}{1-x-x^2+x^3} \, dx\)
 3.157 \(\int \frac{4-x+2 x^2}{4 x+x^3} \, dx\)
 3.158 \(\int \frac{2-3 x+4 x^2}{3-4 x+4 x^2} \, dx\)
 3.159 \(\int \frac{1+x^2+x^3}{(-1+x) x (1+x^2)^3 (1+x+x^2)} \, dx\)
 3.160 \(\int \frac{1-3 x+2 x^2-x^3}{x (1+x^2)^2} \, dx\)
 3.161 \(\int \frac{1}{(1+x^2)^2} \, dx\)
 3.162 \(\int \frac{1}{(-1+x) (2+x)} \, dx\)
 3.163 \(\int \frac{7}{-12+5 x+2 x^2} \, dx\)
 3.164 \(\int \frac{-4+3 x+x^2}{(-1+2 x)^2 (3+2 x)} \, dx\)
 3.165 \(\int \frac{-x^2+x^3}{(-6+x) (3+5 x)^3} \, dx\)
 3.166 \(\int \frac{1}{-x^3+x^4} \, dx\)
 3.167 \(\int \frac{1-x-x^2+x^3+x^4}{-x+x^3} \, dx\)
 3.168 \(\int \frac{-2+x^2}{x (2+x^2)} \, dx\)
 3.169 \(\int \frac{2-4 x^2+x^3}{(1+x^2) (2+x^2)} \, dx\)
 3.170 \(\int \frac{1+x^2+x^4}{(1+x^2) (4+x^2)^2} \, dx\)
 3.171 \(\int \frac{1+16 x}{(5+x)^2 (-3+2 x) (1+x+x^2)} \, dx\)
 3.172 \(\int \frac{x^4}{(9+x^2)^3} \, dx\)
 3.173 \(\int \frac{19 x}{(-1+x)^3 (3+5 x+4 x^2)^2} \, dx\)
 3.174 \(\int \frac{1+x^2+x^3}{2 x^2+x^3+x^4} \, dx\)
 3.175 \(\int \frac{1}{-x^3+x^6} \, dx\)
 3.176 \(\int \frac{x^2}{1+x} \, dx\)
 3.177 \(\int \frac{x}{-5+x} \, dx\)
 3.178 \(\int \frac{-1+4 x}{(-1+x) (2+x)} \, dx\)
 3.179 \(\int \frac{1}{(1+x) (2+x)} \, dx\)
 3.180 \(\int \frac{-5+6 x}{3+2 x} \, dx\)
 3.181 \(\int \frac{1}{(a+x) (b+x)} \, dx\)
 3.182 \(\int \frac{1+x^2}{-x+x^2} \, dx\)
 3.183 \(\int \frac{1-12 x+x^2+x^3}{-12+x+x^2} \, dx\)
 3.184 \(\int \frac{3+2 x}{(1+x)^2} \, dx\)
 3.185 \(\int \frac{1}{x (1+x) (3+2 x)} \, dx\)
 3.186 \(\int \frac{-3+5 x+6 x^2}{-3 x+2 x^2+x^3} \, dx\)
 3.187 \(\int \frac{x}{4+4 x+x^2} \, dx\)
 3.188 \(\int \frac{1}{(-1+x)^2 (4+x)} \, dx\)
 3.189 \(\int \frac{x^2}{(-3+x) (2+x)^2} \, dx\)
 3.190 \(\int \frac{-2+3 x+5 x^2}{2 x^2+x^3} \, dx\)
 3.191 \(\int \frac{18-2 x-4 x^2}{-6+x+4 x^2+x^3} \, dx\)
 3.192 \(\int \frac{2 x+x^2}{4+3 x^2+x^3} \, dx\)
 3.193 \(\int \frac{1}{(-1+x)^2 x^2} \, dx\)
 3.194 \(\int \frac{x^2}{(1+x)^3} \, dx\)
 3.195 \(\int \frac{1}{-x^2+x^4} \, dx\)
 3.196 \(\int \frac{-x+2 x^3}{1-x^2+x^4} \, dx\)
 3.197 \(\int \frac{x^3}{1+x^2} \, dx\)
 3.198 \(\int \frac{-1+x}{2+2 x+x^2} \, dx\)
 3.199 \(\int \frac{x}{1+x+x^2} \, dx\)
 3.200 \(\int \frac{7+5 x+4 x^2}{5+4 x+4 x^2} \, dx\)
 3.201 \(\int \frac{5-4 x+3 x^2}{(-1+x) (1+x^2)} \, dx\)
 3.202 \(\int \frac{3+2 x}{3 x+x^3} \, dx\)
 3.203 \(\int \frac{1}{-1+x^3} \, dx\)
 3.204 \(\int \frac{x^3}{1+x^3} \, dx\)
 3.205 \(\int \frac{-1-2 x+x^2}{(-1+x)^2 (1+x^2)} \, dx\)
 3.206 \(\int \frac{x^4}{-1+x^4} \, dx\)
 3.207 \(\int \frac{-4+6 x-x^2+3 x^3}{(1+x^2) (2+x^2)} \, dx\)
 3.208 \(\int \frac{1+x-2 x^2+x^3}{4+5 x^2+x^4} \, dx\)
 3.209 \(\int \frac{-3+x}{(4+2 x+x^2)^2} \, dx\)
 3.210 \(\int \frac{1+x^4}{x (1+x^2)^2} \, dx\)
 3.211 \(\int \frac{\cos (x) (-3+2 \sin (x))}{2-3 \sin (x)+\sin ^2(x)} \, dx\)
 3.212 \(\int \frac{\cos ^2(x) \sin (x)}{5+\cos ^2(x)} \, dx\)
 3.213 \(\int \frac{1}{-3+2 x+x^2} \, dx\)
 3.214 \(\int \frac{1}{-2 x+x^2} \, dx\)
 3.215 \(\int \frac{1+2 x}{-7+12 x+4 x^2} \, dx\)
 3.216 \(\int \frac{x}{-1+x+x^2} \, dx\)
 3.217 \(\int \frac{-32+5 x-27 x^2+4 x^3}{-70-299 x-286 x^2+50 x^3-13 x^4+30 x^5} \, dx\)
 3.218 \(\int \frac{8-13 x^2-7 x^3+12 x^5}{4-20 x+41 x^2-80 x^3+116 x^4-80 x^5+100 x^6} \, dx\)
 3.219 \(\int \frac{\sqrt{4+x}}{x} \, dx\)
 3.220 \(\int \frac{1}{-\frac{1}{\sqrt [3]{x}}+\sqrt{x}} \, dx\)
 3.221 \(\int \frac{1}{-4 \cos (x)+3 \sin (x)} \, dx\)
 3.222 \(\int \frac{1}{1+\sqrt{x}} \, dx\)
 3.223 \(\int \frac{1}{1+\frac{1}{\sqrt [3]{x}}} \, dx\)
 3.224 \(\int \frac{\sqrt{x}}{1+x} \, dx\)
 3.225 \(\int \frac{1}{x \sqrt{1+x}} \, dx\)
 3.226 \(\int \frac{1}{-\sqrt [3]{x}+x} \, dx\)
 3.227 \(\int \frac{1}{x-\sqrt{2+x}} \, dx\)
 3.228 \(\int \frac{x^2}{\sqrt{-1+x}} \, dx\)
 3.229 \(\int \frac{\sqrt{-1+x}}{1+x} \, dx\)
 3.230 \(\int \frac{1}{\sqrt{1+\sqrt{x}}} \, dx\)
 3.231 \(\int \frac{\sqrt{x}}{x+x^2} \, dx\)
 3.232 \(\int \frac{1+\sqrt{x}}{-1+\sqrt{x}} \, dx\)
 3.233 \(\int \frac{1+\frac{1}{\sqrt [3]{x}}}{-1+\frac{1}{\sqrt [3]{x}}} \, dx\)
 3.234 \(\int \frac{x^3}{\sqrt [3]{1+x^2}} \, dx\)
 3.235 \(\int \frac{\sqrt{x}}{-\frac{1}{\sqrt [3]{x}}+\sqrt{x}} \, dx\)
 3.236 \(\int \frac{1}{\frac{1}{\sqrt [4]{x}}+\sqrt{x}} \, dx\)
 3.237 \(\int \frac{1}{\frac{1}{\sqrt [3]{x}}+\frac{1}{\sqrt [4]{x}}} \, dx\)
 3.238 \(\int \sqrt{\frac{1-x}{x}} \, dx\)
 3.239 \(\int \frac{\cos (x)}{\sin (x)+\sin ^2(x)} \, dx\)
 3.240 \(\int \frac{e^{2 x}}{2+3 e^x+e^{2 x}} \, dx\)
 3.241 \(\int \frac{1}{\sqrt{1+e^x}} \, dx\)
 3.242 \(\int \sqrt{1-e^x} \, dx\)
 3.243 \(\int \frac{1}{3-5 \sin (x)} \, dx\)
 3.244 \(\int \frac{1}{\cos (x)+\sin (x)} \, dx\)
 3.245 \(\int \frac{1}{1-\cos (x)+\sin (x)} \, dx\)
 3.246 \(\int \frac{1}{4 \cos (x)+3 \sin (x)} \, dx\)
 3.247 \(\int \frac{1}{\sin (x)+\tan (x)} \, dx\)
 3.248 \(\int \frac{1}{2 \sin (x)+\sin (2 x)} \, dx\)
 3.249 \(\int \frac{\sec (x)}{1+\sin (x)} \, dx\)
 3.250 \(\int \frac{1}{b \cos (x)+a \sin (x)} \, dx\)
 3.251 \(\int \frac{1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\)
 3.252 \(\int \frac{x}{-1+x^2} \, dx\)
 3.253 \(\int (1+\sqrt{x}) \sqrt{x} \, dx\)
 3.254 \(\int \frac{1}{1-\cos (x)} \, dx\)
 3.255 \(\int \sec (x) \tan ^2(x) \, dx\)
 3.256 \(\int \sec ^3(x) \tan ^3(x) \, dx\)
 3.257 \(\int e^{\sqrt{x}} \, dx\)
 3.258 \(\int \frac{1+x^5}{-10 x-3 x^2+x^3} \, dx\)
 3.259 \(\int \frac{1}{x \sqrt{\log (x)}} \, dx\)
 3.260 \(\int \frac{5+2 x}{-3+x} \, dx\)
 3.261 \(\int e^{e^x+x} \, dx\)
 3.262 \(\int \cos ^2(x) \sin ^2(x) \, dx\)
 3.263 \(\int \frac{-\cos (x)+\sin (x)}{\cos (x)+\sin (x)} \, dx\)
 3.264 \(\int \frac{x}{\sqrt{1-x^2}} \, dx\)
 3.265 \(\int x^3 \log (x) \, dx\)
 3.266 \(\int \frac{\sqrt{-2+x}}{2+x} \, dx\)
 3.267 \(\int \frac{x}{(2+x)^2} \, dx\)
 3.268 \(\int \log (1+x^2) \, dx\)
 3.269 \(\int \frac{\sqrt{1+\log (x)}}{x \log (x)} \, dx\)
 3.270 \(\int (1+\sqrt{x})^8 \, dx\)
 3.271 \(\int \sec ^4(x) \tan ^3(x) \, dx\)
 3.272 \(\int \frac{x}{2-2 x+x^2} \, dx\)
 3.273 \(\int x \sin ^{-1}(x) \, dx\)
 3.274 \(\int \frac{\sqrt{9-x^2}}{x} \, dx\)
 3.275 \(\int \frac{x}{2+3 x+x^2} \, dx\)
 3.276 \(\int x^2 \cosh (x) \, dx\)
 3.277 \(\int \frac{1+x+x^3}{4 x+2 x^2+x^4} \, dx\)
 3.278 \(\int \frac{\cos (x)}{1+\sin ^2(x)} \, dx\)
 3.279 \(\int \cos (\sqrt{x}) \, dx\)
 3.280 \(\int \sin (\pi x) \, dx\)
 3.281 \(\int \frac{e^{2 x}}{1+e^x} \, dx\)
 3.282 \(\int e^{3 x} \cos (5 x) \, dx\)
 3.283 \(\int \cos (3 x) \cos (5 x) \, dx\)
 3.284 \(\int \frac{1}{1+x+x^2+x^3} \, dx\)
 3.285 \(\int x^2 \log (1+x) \, dx\)
 3.286 \(\int e^{-x^3} x^5 \, dx\)
 3.287 \(\int \tan ^2(4 x) \, dx\)
 3.288 \(\int \frac{1}{\sqrt{-5+12 x+9 x^2}} \, dx\)
 3.289 \(\int x^2 \tan ^{-1}(x) \, dx\)
 3.290 \(\int \frac{1-\sqrt{x}}{\sqrt [3]{x}} \, dx\)
 3.291 \(\int \frac{1}{-e^{-x}+e^x} \, dx\)
 3.292 \(\int \frac{x}{10+2 x^2+x^4} \, dx\)
 3.293 \(\int \frac{1}{\frac{1}{\sqrt [3]{x}}+x} \, dx\)
 3.294 \(\int \cos ^4(x) \sin ^2(x) \, dx\)
 3.295 \(\int \frac{1}{\sqrt{5-4 x-x^2}} \, dx\)
 3.296 \(\int \frac{x}{1-x^2+\sqrt{1-x^2}} \, dx\)
 3.297 \(\int (1+\cos (x)) \csc (x) \, dx\)
 3.298 \(\int \frac{e^x}{-1+e^{2 x}} \, dx\)
 3.299 \(\int \frac{1}{-8+x^3} \, dx\)
 3.300 \(\int x^5 \cosh (x) \, dx\)
 3.301 \(\int \csc (x) \log (\tan (x)) \sec (x) \, dx\)
 3.302 \(\int (-2 x+x^2+x^3) \, dx\)
 3.303 \(\int \frac{1+e^x}{1-e^x} \, dx\)
 3.304 \(\int \frac{x}{(1+x^2) (4+x^2)} \, dx\)
 3.305 \(\int \frac{1}{4-5 \sin (x)} \, dx\)
 3.306 \(\int x \sqrt [3]{c+x} \, dx\)
 3.307 \(\int e^{\sqrt [3]{x}} \, dx\)
 3.308 \(\int \frac{1}{4+x+\sqrt{1+x}} \, dx\)
 3.309 \(\int \frac{1+x^3}{-x^2+x^3} \, dx\)
 3.310 \(\int (-3+4 x+x^2) \sin (2 x) \, dx\)
 3.311 \(\int \cos (\cos (x)) \sin (x) \, dx\)
 3.312 \(\int \frac{1}{\sqrt{16-x^2}} \, dx\)
 3.313 \(\int \frac{x^3}{(1+x)^{10}} \, dx\)
 3.314 \(\int \cot ^3(2 x) \csc ^3(2 x) \, dx\)
 3.315 \(\int (x+\sin (x))^2 \, dx\)
 3.316 \(\int \frac{e^{\tan ^{-1}(x)}}{1+x^2} \, dx\)
 3.317 \(\int \frac{1}{x (1+x^4)} \, dx\)
 3.318 \(\int e^{-2 t} t^3 \, dt\)
 3.319 \(\int \frac{\sqrt{t}}{1+\sqrt [3]{t}} \, dt\)
 3.320 \(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\)
 3.321 \(\int \log (\frac{x}{2}) \, dx\)
 3.322 \(\int \sqrt{\frac{1+x}{1-x}} \, dx\)
 3.323 \(\int \frac{x \log (x)}{\sqrt{-1+x^2}} \, dx\)
 3.324 \(\int \frac{a+x}{a^2+x^2} \, dx\)
 3.325 \(\int \sqrt{1+x-x^2} \, dx\)
 3.326 \(\int \frac{x^4}{16+x^{10}} \, dx\)
 3.327 \(\int \frac{2+x}{2+x+x^2} \, dx\)
 3.328 \(\int x \sec (x) \tan (x) \, dx\)
 3.329 \(\int \frac{x}{-a^4+x^4} \, dx\)
 3.330 \(\int \frac{1}{\sqrt{x}+\sqrt{1+x}} \, dx\)
 3.331 \(\int \frac{1}{1-e^{-x}+2 e^x} \, dx\)
 3.332 \(\int \frac{\tan ^{-1}(\sqrt{x})}{\sqrt{x}} \, dx\)
 3.333 \(\int \frac{\log (1+x)}{x^2} \, dx\)
 3.334 \(\int \frac{1}{-e^x+e^{3 x}} \, dx\)
 3.335 \(\int \frac{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx\)
 3.336 \(\int \frac{1}{x \sqrt{-25+2 x}} \, dx\)
 3.337 \(\int \frac{\sin (2 x)}{\sqrt{9-\cos ^4(x)}} \, dx\)
 3.338 \(\int \frac{x^2}{\sqrt{5-4 x^2}} \, dx\)
 3.339 \(\int x^3 \sin (x) \, dx\)
 3.340 \(\int x \sqrt{4+2 x+x^2} \, dx\)
 3.341 \(\int x (5+x^2)^8 \, dx\)
 3.342 \(\int \cos ^2(x) \sin ^5(x) \, dx\)
 3.343 \(\int e^{-3 x} \cos (4 x) \, dx\)
 3.344 \(\int \csc ^3(\frac{x}{2}) \, dx\)
 3.345 \(\int \frac{\sqrt{-1+9 x^2}}{x^2} \, dx\)
 3.346 \(\int \frac{\sqrt{4-3 x^2}}{x} \, dx\)
 3.347 \(\int e^{3 x} x^2 \, dx\)
 3.348 \(\int \frac{\cos (x) \sin (x)}{\sqrt{1+\sin (x)}} \, dx\)
 3.349 \(\int x \sin ^{-1}(x^2) \, dx\)
 3.350 \(\int x^3 \sin ^{-1}(x^2) \, dx\)
 3.351 \(\int e^x \text{sech}(e^x) \, dx\)
 3.352 \(\int x^2 \cos (3 x) \, dx\)
 3.353 \(\int \sqrt{5-4 x-x^2} \, dx\)
 3.354 \(\int \frac{x^5}{\sqrt{2}+x^2} \, dx\)
 3.355 \(\int \sec ^5(x) \, dx\)
 3.356 \(\int \sin ^6(2 x) \, dx\)
 3.357 \(\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx\)
 3.358 \(\int \frac{e^{-x}}{1+2 e^x} \, dx\)
 3.359 \(\int \sqrt{2+3 \cos (x)} \tan (x) \, dx\)
 3.360 \(\int \frac{x}{\sqrt{-4 x+x^2}} \, dx\)
 3.361 \(\int \cos ^5(x) \, dx\)
 3.362 \(\int e^{-x} x^4 \, dx\)
 3.363 \(\int \frac{x^4}{\sqrt{-2+x^{10}}} \, dx\)
 3.364 \(\int e^x \cos (4+3 x) \, dx\)
 3.365 \(\int e^x \log (1+e^x) \, dx\)
 3.366 \(\int x^2 \tan ^{-1}(x) \, dx\)
 3.367 \(\int \sqrt{-1+e^{2 x}} \, dx\)
 3.368 \(\int e^{\sin (x)} \sin (2 x) \, dx\)
 3.369 \(\int x^2 \sqrt{5-x^2} \, dx\)
 3.370 \(\int x^2 (1+x^3)^4 \, dx\)
 3.371 \(\int \cos ^3(x) \sin ^3(x) \, dx\)
 3.372 \(\int \sec ^4(x) \tan ^2(x) \, dx\)
 3.373 \(\int x \sqrt{1+2 x} \, dx\)
 3.374 \(\int \sin ^4(x) \, dx\)
 3.375 \(\int \tan ^3(x) \, dx\)
 3.376 \(\int x^5 \sqrt{1+x^2} \, dx\)