3.1 \(\int \frac{1}{\sqrt{1-a x}} \, dx\)
 3.2 \(\int \frac{-2 \log (-\sqrt{-1+a x})+\log (-1+a x)}{2 \pi \sqrt{-1+a x}} \, dx\)
 3.3 \(\int \frac{1}{(2 x+\sqrt{1+x^2})^2} \, dx\)
 3.4 \(\int \frac{1}{\sqrt{-1+x^2} (-4+3 x^2)^2} \, dx\)
 3.5 \(\int \frac{1}{(2 \sqrt{x}+\sqrt{1+x})^2} \, dx\)
 3.6 \(\int \frac{\sqrt{-1+x^2}}{(-i+x)^2} \, dx\)
 3.7 \(\int \frac{1}{\sqrt{-1+x^2} (1+x^2)^2} \, dx\)
 3.8 \(\int \frac{1}{(\sqrt{-1+x}+\sqrt{x})^2 \sqrt{-1+x}} \, dx\)
 3.9 \(\int \frac{1}{\sqrt{-1+x^2} (\sqrt{x}+\sqrt{-1+x^2})^2} \, dx\)
 3.10 \(\int \frac{(\sqrt{x}-\sqrt{-1+x^2})^2}{(1+x-x^2)^2 \sqrt{-1+x^2}} \, dx\)
 3.11 \(\int (\frac{1}{\sqrt{2} (1+x)^2 \sqrt{-i+x^2}}+\frac{1}{\sqrt{2} (1+x)^2 \sqrt{i+x^2}}) \, dx\)
 3.12 \(\int \frac{\sqrt{x^2+\sqrt{1+x^4}}}{(1+x)^2 \sqrt{1+x^4}} \, dx\)
 3.13 \(\int \frac{\sqrt{x^2+\sqrt{1+x^4}}}{(1+x) \sqrt{1+x^4}} \, dx\)
 3.14 \(\int \frac{\sqrt{x^2+\sqrt{1+x^4}}}{\sqrt{1+x^4}} \, dx\)
 3.15 \(\int \frac{\sqrt{-x^2+\sqrt{1+x^4}}}{\sqrt{1+x^4}} \, dx\)
 3.16 \(\int \frac{(-1+x)^{3/2}+(1+x)^{3/2}}{(-1+x)^{3/2} (1+x)^{3/2}} \, dx\)
 3.17 \(\int (x+\sqrt{a+x^2})^b \, dx\)
 3.18 \(\int (x-\sqrt{a+x^2})^b \, dx\)
 3.19 \(\int \frac{(x+\sqrt{a+x^2})^b}{\sqrt{a+x^2}} \, dx\)
 3.20 \(\int \frac{(x-\sqrt{a+x^2})^b}{\sqrt{a+x^2}} \, dx\)
 3.21 \(\int \frac{1}{(a+b e^{p x})^2} \, dx\)
 3.22 \(\int \frac{1}{(b e^{-p x}+a e^{p x})^2} \, dx\)
 3.23 \(\int \frac{x}{(b e^{-p x}+a e^{p x})^2} \, dx\)
 3.24 \(\int \frac{1-x+3 x^2}{\sqrt{1-x+x^2} (1+x+x^2)^2} \, dx\)
 3.25 \(\int \frac{\sqrt{x+\sqrt{a^2+x^2}}}{\sqrt{a^2+x^2}} \, dx\)
 3.26 \(\int \frac{\sqrt{b x+\sqrt{a+b^2 x^2}}}{\sqrt{a+b^2 x^2}} \, dx\)
 3.27 \(\int \frac{1}{x \sqrt{a^2+x^2} \sqrt{x+\sqrt{a^2+x^2}}} \, dx\)
 3.28 \(\int \frac{\sqrt{x+\sqrt{a^2+x^2}}}{x} \, dx\)
 3.29 \(\int x^3 \log ^3(2+x) \log (3+x) \, dx\)
 3.30 \(\int \frac{(x+\sqrt{b+x^2})^a}{\sqrt{b+x^2}} \, dx\)
 3.31 \(\int (x+\sqrt{b+x^2})^a \, dx\)
 3.32 \(\int (6+3 x^a+2 x^{2 a})^{\frac{1}{a}} (x^a+x^{2 a}+x^{3 a}) \, dx\)
 3.33 \(\int \frac{1}{x \sqrt [3]{1-x^2}} \, dx\)
 3.34 \(\int \frac{1}{x (1-x^2)^{2/3}} \, dx\)
 3.35 \(\int \frac{1}{\sqrt [3]{1-x^3}} \, dx\)
 3.36 \(\int \frac{1}{x \sqrt [3]{1-x^3}} \, dx\)
 3.37 \(\int \frac{1}{(1+x) \sqrt [3]{1-x^3}} \, dx\)
 3.38 \(\int \frac{x}{(1+x) \sqrt [3]{1-x^3}} \, dx\)
 3.39 \(\int \frac{1}{x \sqrt [3]{2-3 x+x^2}} \, dx\)
 3.40 \(\int \frac{1}{\sqrt [3]{-5+7 x-3 x^2+x^3}} \, dx\)
 3.41 \(\int \frac{1}{\sqrt [3]{x (-q+x^2)}} \, dx\)
 3.42 \(\int \frac{1}{\sqrt [3]{(-1+x) (q-2 x+x^2)}} \, dx\)
 3.43 \(\int \frac{1}{x \sqrt [3]{(-1+x) (q-2 q x+x^2)}} \, dx\)
 3.44 \(\int \frac{2-(1+k) x}{\sqrt [3]{(1-x) x (1-k x)} (1-(1+k) x)} \, dx\)
 3.45 \(\int \frac{1-k x}{(1+(-2+k) x) ((1-x) x (1-k x))^{2/3}} \, dx\)
 3.46 \(\int \frac{a+b x+c x^2}{(1-x+x^2) \sqrt [3]{1-x^3}} \, dx\)
 3.47 \(\int \frac{1}{(3-2 x)^{11/2} (1+x+2 x^2)^5} \, dx\)
 3.48 \(\int \frac{1}{(3-2 x)^{21/2} (1+x+2 x^2)^{10}} \, dx\)
 3.49 \(\int \frac{1}{(3-2 x)^{41/2} (1+x+2 x^2)^{20}} \, dx\)
 3.50 \(\int \frac{1}{(3-2 x+x^2)^{11/2} (1+x+2 x^2)^5} \, dx\)
 3.51 \(\int \frac{1}{(3-2 x+x^2)^{21/2} (1+x+2 x^2)^{10}} \, dx\)
 3.52 \(\int \frac{-a-\sqrt{1+a^2}+x}{(-a+\sqrt{1+a^2}+x) \sqrt{(-a+x) (1+x^2)}} \, dx\)
 3.53 \(\int \frac{a+b x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\)
 3.54 \(\int \frac{a+b x}{(3-x^2) \sqrt [3]{1+x^2}} \, dx\)
 3.55 \(\int \frac{1}{x \sqrt [3]{4-6 x+3 x^2}} \, dx\)
 3.56 \(\int x \sqrt [3]{1-x^3} \, dx\)
 3.57 \(\int \frac{\sqrt [3]{1-x^3}}{x} \, dx\)
 3.58 \(\int \frac{\sqrt [3]{1-x^3}}{1+x} \, dx\)
 3.59 \(\int \frac{\sqrt [3]{1-x^3}}{1-x+x^2} \, dx\)
 3.60 \(\int \frac{\sqrt [3]{1-x^3}}{2+x} \, dx\)
 3.61 \(\int \frac{2+x}{(1+x+x^2) \sqrt [3]{2+x^3}} \, dx\)
 3.62 \(\int \frac{3-3 x+30 x^2+160 x^3}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\)
 3.63 \(\int \frac{3+12 x+20 x^2}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\)
 3.64 \(\int -\frac{84+576 x+400 x^2-2560 x^3}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\)
 3.65 \(\int \frac{\sqrt{1-x^4}}{1+x^4} \, dx\)
 3.66 \(\int \frac{\sqrt{1+x^4}}{1-x^4} \, dx\)
 3.67 \(\int \frac{\sqrt{1+p x^2+x^4}}{1-x^4} \, dx\)
 3.68 \(\int \frac{\sqrt{1+p x^2-x^4}}{1+x^4} \, dx\)
 3.69 \(\int \frac{a+b x}{(2-x^2) \sqrt [4]{-1+x^2}} \, dx\)
 3.70 \(\int \frac{a+b x}{\sqrt [4]{-1-x^2} (2+x^2)} \, dx\)
 3.71 \(\int \frac{a+b x}{\sqrt [4]{1-x^2} (2-x^2)} \, dx\)
 3.72 \(\int \frac{a+b x}{\sqrt [4]{1+x^2} (2+x^2)} \, dx\)
 3.73 \(\int \frac{x}{\sqrt{1-x^3} (4-x^3)} \, dx\)
 3.74 \(\int \frac{x}{(4-d x^3) \sqrt{-1+d x^3}} \, dx\)
 3.75 \(\int \frac{x}{\sqrt{-1+x^3} (8+x^3)} \, dx\)
 3.76 \(\int \frac{x}{(8-d x^3) \sqrt{1+d x^3}} \, dx\)
 3.77 \(\int \frac{1}{\sqrt [3]{1-3 x^2} (3-x^2)} \, dx\)
 3.78 \(\int \frac{1}{(3+x^2) \sqrt [3]{1+3 x^2}} \, dx\)
 3.79 \(\int \frac{1}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\)
 3.80 \(\int \frac{1}{(3-x^2) \sqrt [3]{1+x^2}} \, dx\)
 3.81 \(\int \frac{a+x}{(-a+x) \sqrt{a^2 x-(1+a^2) x^2+x^3}} \, dx\)
 3.82 \(\int \frac{-2+a+x}{(-a+x) \sqrt{(2-a) a x+(-1-2 a+a^2) x^2+x^3}} \, dx\)
 3.83 \(\int \frac{-a+(-1+2 a) x}{(-a+x) \sqrt{a^2 x-(-1+2 a+a^2) x^2+(-1+2 a) x^3}} \, dx\)
 3.84 \(\int \frac{1-\sqrt [3]{2} x}{(2^{2/3}+x) \sqrt{1+x^3}} \, dx\)
 3.85 \(\int \frac{1+x}{(-2+x) \sqrt{1+x^3}} \, dx\)
 3.86 \(\int \frac{x}{\sqrt{1+x^3} (10+6 \sqrt{3}+x^3)} \, dx\)
 3.87 \(\int \frac{x}{\sqrt{1+x^3} (10-6 \sqrt{3}+x^3)} \, dx\)
 3.88 \(\int \frac{x}{\sqrt{-1+x^3} (-10-6 \sqrt{3}+x^3)} \, dx\)
 3.89 \(\int \frac{x}{\sqrt{-1+x^3} (-10+6 \sqrt{3}+x^3)} \, dx\)
 3.90 \(\int \frac{1-\sqrt{3}+x}{(1+\sqrt{3}+x) \sqrt{-4+4 \sqrt{3} x^2+x^4}} \, dx\)
 3.91 \(\int \frac{1+\sqrt{3}+x}{(1-\sqrt{3}+x) \sqrt{-4-4 \sqrt{3} x^2+x^4}} \, dx\)
 3.92 \(\int \frac{-1+x}{(1+x) \sqrt [3]{2+x^3}} \, dx\)
 3.93 \(\int \frac{1}{(1+x) \sqrt [3]{2+x^3}} \, dx\)
 3.94 \(\int \frac{1}{(1-x^3) \sqrt [3]{a+b x^3}} \, dx\)
 3.95 \(\int \frac{1+x}{(1+x+x^2) \sqrt [3]{a+b x^3}} \, dx\)
 3.96 \(\int \frac{x^2}{(1-x^3) \sqrt [3]{a+b x^3}} \, dx\)
 3.97 \(\int \frac{1}{\sqrt [3]{1-x^3} (1+x^3)} \, dx\)
 3.98 \(\int \frac{x}{\sqrt [3]{1-x^3} (1+x^3)} \, dx\)
 3.99 \(\int \frac{x^2}{\sqrt [3]{1-x^3} (1+x^3)} \, dx\)
 3.100 \(\int \frac{1+x}{(1-x+x^2) \sqrt [3]{1-x^3}} \, dx\)
 3.101 \(\int \frac{(1+x)^2}{\sqrt [3]{1-x^3} (1+x^3)} \, dx\)
 3.102 \(\int \frac{1-x}{(1+x+x^2) \sqrt [3]{1+x^3}} \, dx\)
 3.103 \(\int \frac{(1-x^3)^{2/3}}{(1+x+x^2)^2} \, dx\)
 3.104 \(\int \frac{1-x}{(1+x+x^2) \sqrt [3]{1-x^3}} \, dx\)
 3.105 \(\int \frac{(1-x)^2}{(1-x^3)^{4/3}} \, dx\)
 3.106 \(\int (1-x^3)^{2/3} \, dx\)
 3.107 \(\int \frac{(1-x^3)^{2/3}}{x} \, dx\)
 3.108 \(\int \frac{(1-x^3)^{2/3}}{a+b x} \, dx\)
 3.109 \(\int \frac{(1-x^3)^{2/3}}{(1-x+x^2)^2} \, dx\)
 3.110 \(\int \frac{(1-2 x) (1-x^3)^{2/3}}{(1-x+x^2)^2} \, dx\)
 3.111 \(\int \frac{(1-x^3)^{2/3}}{1+x} \, dx\)
 3.112 \(\int \frac{(1-x+x^2) (1-x^3)^{2/3}}{1+x^3} \, dx\)
 3.113 \(\int \frac{(1-x^3)^{2/3}}{1+x^3} \, dx\)
 3.114 \(\int \frac{x (1-x^3)^{2/3}}{1+x^3} \, dx\)
 3.115 \(\int \frac{(1-x) (1-x^3)^{2/3}}{1+x^3} \, dx\)
 3.116 \(\int \frac{\sqrt [3]{1-x^3}}{1+x^3} \, dx\)