3.1 \(\int \sqrt {1+2 x} \, dx\)
 3.2 \(\int x \sqrt {1+3 x} \, dx\)
 3.3 \(\int x^2 \sqrt {1+x} \, dx\)
 3.4 \(\int \frac {x}{\sqrt {2-3 x}} \, dx\)
 3.5 \(\int \frac {1+x}{(2+2 x+x^2)^3} \, dx\)
 3.6 \(\int \sin ^3(x) \, dx\)
 3.7 \(\int \sqrt [3]{-1+z} z \, dz\)
 3.8 \(\int \cot (x) \csc ^2(x) \, dx\)
 3.9 \(\int \cos (2 x) \sqrt {4-\sin (2 x)} \, dx\)
 3.10 \(\int \frac {\sin (x)}{(3+\cos (x))^2} \, dx\)
 3.11 \(\int \frac {\sin (x)}{\sqrt {\cos ^3(x)}} \, dx\)
 3.12 \(\int \frac {\sin (\sqrt {1+x})}{\sqrt {1+x}} \, dx\)
 3.13 \(\int x^{-1+n} \sin (x^n) \, dx\)
 3.14 \(\int \frac {x^5}{\sqrt {1-x^6}} \, dx\)
 3.15 \(\int t \sqrt [4]{1+t} \, dt\)
 3.16 \(\int \frac {1}{(1+x^2)^{3/2}} \, dx\)
 3.17 \(\int x^2 (27+8 x^3)^{2/3} \, dx\)
 3.18 \(\int \frac {\cos (x)+\sin (x)}{\sqrt [3]{-\cos (x)+\sin (x)}} \, dx\)
 3.19 \(\int \frac {x}{\sqrt {1+x^2+(1+x^2)^{3/2}}} \, dx\)
 3.20 \(\int \frac {x}{\sqrt {1+x^2} \sqrt {1+\sqrt {1+x^2}}} \, dx\)
 3.21 \(\int \frac {\sqrt [5]{1-2 x+x^2}}{1-x} \, dx\)
 3.22 \(\int x \sin (x) \, dx\)
 3.23 \(\int x^2 \sin (x) \, dx\)
 3.24 \(\int x^3 \cos (x) \, dx\)
 3.25 \(\int x^3 \sin (x) \, dx\)
 3.26 \(\int \cos (x) \sin (x) \, dx\)
 3.27 \(\int x \cos (x) \sin (x) \, dx\)
 3.28 \(\int \sin ^2(x) \, dx\)
 3.29 \(\int \sin ^3(x) \, dx\)
 3.30 \(\int \sin ^4(x) \, dx\)
 3.31 \(\int \sin ^5(x) \, dx\)
 3.32 \(\int \sin ^6(x) \, dx\)
 3.33 \(\int x \sin ^2(x) \, dx\)
 3.34 \(\int x \sin ^3(x) \, dx\)
 3.35 \(\int x^2 \sin ^2(x) \, dx\)
 3.36 \(\int \cos ^2(x) \, dx\)
 3.37 \(\int \cos ^3(x) \, dx\)
 3.38 \(\int \cos ^4(x) \, dx\)
 3.39 \(\int (a^2-x^2)^{5/2} \, dx\)
 3.40 \(\int \frac {x^5}{\sqrt {5+x^2}} \, dx\)
 3.41 \(\int \frac {t^3}{\sqrt {4+t^3}} \, dt\)
 3.42 \(\int \tan ^2(x) \, dx\)
 3.43 \(\int \tan ^4(x) \, dx\)
 3.44 \(\int \cot ^2(x) \, dx\)
 3.45 \(\int \cot ^4(x) \, dx\)
 3.46 \(\int (2+3 x) \sin (5 x) \, dx\)
 3.47 \(\int x \sqrt {1+x^2} \, dx\)
 3.48 \(\int x (-1+x^2)^9 \, dx\)
 3.49 \(\int \frac {3+2 x}{(7+6 x)^3} \, dx\)
 3.50 \(\int x^4 (1+x^5)^5 \, dx\)
 3.51 \(\int (1-x)^{20} x^4 \, dx\)
 3.52 \(\int \frac {\sin (\frac {1}{x})}{x^2} \, dx\)
 3.53 \(\int \sin (\sqrt [4]{-1+x}) \, dx\)
 3.54 \(\int x \cos (x^2) \sin (x^2) \, dx\)
 3.55 \(\int \sqrt {1+3 \cos ^2(x)} \sin (2 x) \, dx\)
 3.56 \(\int \frac {1}{2+3 x} \, dx\)
 3.57 \(\int \log ^2(x) \, dx\)
 3.58 \(\int x \log (x) \, dx\)
 3.59 \(\int x \log ^2(x) \, dx\)
 3.60 \(\int \frac {1}{1+t} \, dt\)
 3.61 \(\int \cot (x) \, dx\)
 3.62 \(\int x^n \log (a x) \, dx\)
 3.63 \(\int x^2 \log ^2(x) \, dx\)
 3.64 \(\int \frac {1}{x \log (x)} \, dx\)
 3.65 \(\int \frac {\log (1-t)}{1-t} \, dt\)
 3.66 \(\int \frac {\log (x)}{x \sqrt {1+\log (x)}} \, dx\)
 3.67 \(\int x^3 \log ^3(x) \, dx\)
 3.68 \(\int e^{x^3} x^2 \, dx\)
 3.69 \(\int \frac {2^{\sqrt {x}}}{\sqrt {x}} \, dx\)
 3.70 \(\int e^{2 \sin (x)} \cos (x) \, dx\)
 3.71 \(\int e^x \sin (x) \, dx\)
 3.72 \(\int e^x \cos (x) \, dx\)
 3.73 \(\int \frac {1}{1+e^x} \, dx\)
 3.74 \(\int e^x x \, dx\)
 3.75 \(\int e^{-x} x \, dx\)
 3.76 \(\int e^x x^2 \, dx\)
 3.77 \(\int e^{-2 x} x^2 \, dx\)
 3.78 \(\int e^{\sqrt {x}} \, dx\)
 3.79 \(\int e^{-x^2} x^3 \, dx\)
 3.80 \(\int e^{a x} \cos (b x) \, dx\)
 3.81 \(\int e^{a x} \sin (b x) \, dx\)
 3.82 \(\int \cot ^{-1}(x) \, dx\)
 3.83 \(\int \sec ^{-1}(x) \, dx\)
 3.84 \(\int \csc ^{-1}(x) \, dx\)
 3.85 \(\int \sin ^{-1}(x)^2 \, dx\)
 3.86 \(\int \frac {\sin ^{-1}(x)}{x^2} \, dx\)
 3.87 \(\int \frac {1}{\sqrt {a^2-x^2}} \, dx\)
 3.88 \(\int \frac {1}{\sqrt {1-2 x-x^2}} \, dx\)
 3.89 \(\int \frac {1}{a^2+x^2} \, dx\)
 3.90 \(\int \frac {1}{a+b x^2} \, dx\)
 3.91 \(\int \frac {1}{2-x+x^2} \, dx\)
 3.92 \(\int x \tan ^{-1}(x) \, dx\)
 3.93 \(\int x^2 \cos ^{-1}(x) \, dx\)
 3.94 \(\int x \tan ^{-1}(x)^2 \, dx\)
 3.95 \(\int \tan ^{-1}(\sqrt {x}) \, dx\)
 3.96 \(\int \frac {\tan ^{-1}(\sqrt {x})}{\sqrt {x} (1+x)} \, dx\)
 3.97 \(\int \sqrt {1-x^2} \, dx\)
 3.98 \(\int \frac {e^{\tan ^{-1}(x)} x}{(1+x^2)^{3/2}} \, dx\)
 3.99 \(\int \frac {e^{\tan ^{-1}(x)}}{(1+x^2)^{3/2}} \, dx\)
 3.100 \(\int \frac {x^2}{(1+x^2)^2} \, dx\)
 3.101 \(\int \frac {e^x}{1+e^{2 x}} \, dx\)
 3.102 \(\int e^{-x} \cot ^{-1}(e^x) \, dx\)
 3.103 \(\int \sqrt {\frac {a+x}{a-x}} \, dx\)
 3.104 \(\int \sqrt {(b-x) (-a+x)} \, dx\)
 3.105 \(\int \frac {1}{\sqrt {(b-x) (-a+x)}} \, dx\)
 3.106 \(\int \frac {3+5 x}{-3+2 x+x^2} \, dx\)
 3.107 \(\int \frac {5+2 x}{-3+2 x+x^2} \, dx\)
 3.108 \(\int \frac {3 x+x^3}{-3-2 x+x^2} \, dx\)
 3.109 \(\int \frac {-1+5 x+2 x^2}{-2 x+x^2+x^3} \, dx\)
 3.110 \(\int \frac {3+2 x+x^2}{(-1+x) (1+x)^2} \, dx\)
 3.111 \(\int \frac {-2+2 x+3 x^2}{-1+x^3} \, dx\)
 3.112 \(\int \frac {2-x+2 x^2-x^3+x^4}{(-1+x) (2+x^2)^2} \, dx\)
 3.113 \(\int \frac {1}{\cos (x)+\sin (x)} \, dx\)
 3.114 \(\int \frac {x}{4-x^2+\sqrt {4-x^2}} \, dx\)
 3.115 \(\int \frac {3+2 x}{(-2+x) (5+x)} \, dx\)
 3.116 \(\int \frac {x}{(1+x) (2+x) (3+x)} \, dx\)
 3.117 \(\int \frac {x}{2-3 x+x^3} \, dx\)
 3.118 \(\int \frac {-6+2 x+x^4}{-2 x+x^2+x^3} \, dx\)
 3.119 \(\int \frac {7+8 x^3}{(1+x) (1+2 x)^3} \, dx\)
 3.120 \(\int \frac {1+x+4 x^2}{-1+x^3} \, dx\)
 3.121 \(\int \frac {x^4}{4+5 x^2+x^4} \, dx\)
 3.122 \(\int \frac {2+x}{x+x^2} \, dx\)
 3.123 \(\int \frac {1}{x (1+x^2)^2} \, dx\)
 3.124 \(\int \frac {1}{(1+x) (2+x)^2 (3+x)^3} \, dx\)
 3.125 \(\int \frac {x}{(1+x)^2} \, dx\)
 3.126 \(\int \frac {1}{-x+x^3} \, dx\)
 3.127 \(\int \frac {x^2}{-6+x+x^2} \, dx\)
 3.128 \(\int \frac {2+x}{4-4 x+x^2} \, dx\)
 3.129 \(\int \frac {1}{(4-4 x+x^2) (5-4 x+x^2)} \, dx\)
 3.130 \(\int \frac {-3+x}{2 x+3 x^2+x^3} \, dx\)
 3.131 \(\int \frac {1}{(-1+x^2)^2} \, dx\)
 3.132 \(\int \frac {1+x}{-1+x^3} \, dx\)
 3.133 \(\int \frac {1+x^4}{x (1+x^2)^2} \, dx\)
 3.134 \(\int \frac {1}{-2 x^3+x^4} \, dx\)
 3.135 \(\int \frac {1-x^3}{x (1+x^2)} \, dx\)
 3.136 \(\int \frac {1}{-1+x^4} \, dx\)
 3.137 \(\int \frac {1}{1+x^4} \, dx\)
 3.138 \(\int \frac {x^2}{(2+2 x+x^2)^2} \, dx\)
 3.139 \(\int \frac {-1+4 x^5}{(1+x+x^5)^2} \, dx\)
 3.140 \(\int \frac {1}{5-\cos (x)+2 \sin (x)} \, dx\)
 3.141 \(\int \frac {1}{1+a \cos (x)} \, dx\)
 3.142 \(\int \frac {1}{1+2 \cos (x)} \, dx\)
 3.143 \(\int \frac {1}{1+\frac {\cos (x)}{2}} \, dx\)
 3.144 \(\int \frac {\sin ^2(x)}{1+\sin ^2(x)} \, dx\)
 3.145 \(\int \frac {1}{b^2 \cos ^2(x)+a^2 \sin ^2(x)} \, dx\)
 3.146 \(\int \frac {1}{(b \cos (x)+a \sin (x))^2} \, dx\)
 3.147 \(\int \frac {\sin (x)}{1+\cos (x)+\sin (x)} \, dx\)
 3.148 \(\int \sqrt {3-x^2} \, dx\)
 3.149 \(\int \frac {x}{\sqrt {3-x^2}} \, dx\)
 3.150 \(\int \frac {\sqrt {3-x^2}}{x} \, dx\)
 3.151 \(\int \frac {\sqrt {x+x^2}}{x} \, dx\)
 3.152 \(\int \sqrt {5+x^2} \, dx\)
 3.153 \(\int \frac {x}{\sqrt {1+x+x^2}} \, dx\)
 3.154 \(\int \frac {1}{\sqrt {x+x^2}} \, dx\)
 3.155 \(\int \frac {\sqrt {2-x-x^2}}{x^2} \, dx\)
 3.156 \(\int \frac {\log (t)}{1+t} \, dt\)
 3.157 \(\int \log (e^{\cos (x)}) \, dx\)
 3.158 \(\int \frac {e^t}{t} \, dt\)
 3.159 \(\int \frac {e^{a t}}{t} \, dt\)
 3.160 \(\int \frac {e^t}{t^2} \, dt\)
 3.161 \(\int e^{\frac {1}{t}} \, dt\)
 3.162 \(\int \frac {e^{-t}}{-1-a+t} \, dt\)
 3.163 \(\int \frac {e^{t^2} t}{1+t^2} \, dt\)
 3.164 \(\int \frac {e^t}{(1+t)^2} \, dt\)
 3.165 \(\int e^t \log (1+t) \, dt\)
 3.166 \(\int e^{-t} t \, dt\)
 3.167 \(\int e^{-t} t^2 \, dt\)
 3.168 \(\int e^{-t} t^3 \, dt\)
 3.169 \(\int \frac {\text {b1} \cos (x)+\text {a1} \sin (x)}{b \cos (x)+a \sin (x)} \, dx\)
 3.170 \(\int \frac {1}{\log (t)} \, dt\)
 3.171 \(\int \frac {1}{\log ^2(t)} \, dt\)
 3.172 \(\int \log ^{-1-n}(t) \, dt\)
 3.173 \(\int \frac {e^{2 t}}{-1+t} \, dt\)
 3.174 \(\int \frac {e^{2 x}}{2-3 x+x^2} \, dx\)
 3.175 \(\int \frac {1}{\sqrt {1+t^3}} \, dt\)