3.1 \(\int \frac{1}{\sqrt{1-a x}} \, dx\)
 3.2 \(\int \frac{-2 \log \left (-\sqrt{-1+a x}\right )+\log (-1+a x)}{2 \pi \sqrt{-1+a x}} \, dx\)
 3.3 \(\int \frac{1}{\left (2 x+\sqrt{1+x^2}\right )^2} \, dx\)
 3.4 \(\int \frac{1}{\sqrt{-1+x^2} \left (-4+3 x^2\right )^2} \, dx\)
 3.5 \(\int \frac{1}{\left (2 \sqrt{x}+\sqrt{1+x}\right )^2} \, dx\)
 3.6 \(\int \frac{\sqrt{-1+x^2}}{(-i+x)^2} \, dx\)
 3.7 \(\int \frac{1}{\sqrt{-1+x^2} \left (1+x^2\right )^2} \, dx\)
 3.8 \(\int \frac{1}{\left (\sqrt{-1+x}+\sqrt{x}\right )^2 \sqrt{-1+x}} \, dx\)
 3.9 \(\int \frac{1}{\sqrt{-1+x^2} \left (\sqrt{x}+\sqrt{-1+x^2}\right )^2} \, dx\)
 3.10 \(\int \frac{\left (\sqrt{x}-\sqrt{-1+x^2}\right )^2}{\left (1+x-x^2\right )^2 \sqrt{-1+x^2}} \, dx\)
 3.11 \(\int \left (\frac{1}{\sqrt{2} (1+x)^2 \sqrt{-i+x^2}}+\frac{1}{\sqrt{2} (1+x)^2 \sqrt{i+x^2}}\right ) \, dx\)
 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 \(\int \left (x+\sqrt{a+x^2}\right )^b \, dx\)
 3.18 \(\int \left (x-\sqrt{a+x^2}\right )^b \, dx\)
 3.19 \(\int \frac{\left (x+\sqrt{a+x^2}\right )^b}{\sqrt{a+x^2}} \, dx\)
 3.20 \(\int \frac{\left (x-\sqrt{a+x^2}\right )^b}{\sqrt{a+x^2}} \, dx\)
 3.21 \(\int \frac{1}{\left (a+b e^{p x}\right )^2} \, dx\)
 3.22 \(\int \frac{1}{\left (b e^{-p x}+a e^{p x}\right )^2} \, dx\)
 3.23 \(\int \frac{x}{\left (b e^{-p x}+a e^{p x}\right )^2} \, dx\)
 3.24 \(\int \frac{1-x+3 x^2}{\sqrt{1-x+x^2} \left (1+x+x^2\right )^2} \, dx\)
 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 \(\int \frac{\left (x+\sqrt{b+x^2}\right )^a}{\sqrt{b+x^2}} \, dx\)
 3.31 \(\int \left (x+\sqrt{b+x^2}\right )^a \, dx\)
 3.32 \(\int \left (6+3 x^a+2 x^{2 a}\right )^{\frac{1}{a}} \left (x^a+x^{2 a}+x^{3 a}\right ) \, dx\)
 3.33 \(\int \frac{1}{x \sqrt [3]{1-x^2}} \, dx\)
 3.34 \(\int \frac{1}{x \left (1-x^2\right )^{2/3}} \, dx\)
 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 \(\int \frac{1}{\sqrt [3]{x \left (-q+x^2\right )}} \, dx\)
 3.42 \(\int \frac{1}{\sqrt [3]{(-1+x) \left (q-2 x+x^2\right )}} \, dx\)
 3.43 \(\int \frac{1}{x \sqrt [3]{(-1+x) \left (q-2 q x+x^2\right )}} \, dx\)
 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 \(\int \frac{a+b x+c x^2}{\left (1-x+x^2\right ) \sqrt [3]{1-x^3}} \, dx\)
 3.47 \(\int \frac{1}{(3-2 x)^{11/2} \left (1+x+2 x^2\right )^5} \, dx\)
 3.48 \(\int \frac{1}{(3-2 x)^{21/2} \left (1+x+2 x^2\right )^{10}} \, dx\)
 3.49 \(\int \frac{1}{(3-2 x)^{41/2} \left (1+x+2 x^2\right )^{20}} \, dx\)
 3.50 \(\int \frac{1}{\left (3-2 x+x^2\right )^{11/2} \left (1+x+2 x^2\right )^5} \, dx\)
 3.51 \(\int \frac{1}{\left (3-2 x+x^2\right )^{21/2} \left (1+x+2 x^2\right )^{10}} \, dx\)
 3.52 \(\int \frac{-a-\sqrt{1+a^2}+x}{\left (-a+\sqrt{1+a^2}+x\right ) \sqrt{(-a+x) \left (1+x^2\right )}} \, dx\)
 3.53 \(\int \frac{a+b x}{\sqrt [3]{1-x^2} \left (3+x^2\right )} \, dx\)
 3.54 \(\int \frac{a+b x}{\left (3-x^2\right ) \sqrt [3]{1+x^2}} \, dx\)
 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 \(\int \frac{3-3 x+30 x^2+160 x^3}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\)
 3.61 \(\int \frac{3+12 x+20 x^2}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\)
 3.62 \(\int -\frac{84+576 x+400 x^2-2560 x^3}{9+24 x-12 x^2+80 x^3+320 x^4} \, dx\)
 3.63 \(\int \frac{\sqrt{1-x^4}}{1+x^4} \, dx\)
 3.64 \(\int \frac{\sqrt{1+x^4}}{1-x^4} \, dx\)
 3.65 \(\int \frac{\sqrt{1+p x^2+x^4}}{1-x^4} \, dx\)
 3.66 \(\int \frac{\sqrt{1+p x^2-x^4}}{1+x^4} \, dx\)
 3.67 \(\int \frac{a+b x}{\left (2-x^2\right ) \sqrt [4]{-1+x^2}} \, dx\)
 3.68 \(\int \frac{a+b x}{\sqrt [4]{-1-x^2} \left (2+x^2\right )} \, dx\)
 3.69 \(\int \frac{a+b x}{\sqrt [4]{1-x^2} \left (2-x^2\right )} \, dx\)
 3.70 \(\int \frac{a+b x}{\sqrt [4]{1+x^2} \left (2+x^2\right )} \, dx\)
 3.71 \(\int \frac{x}{\sqrt{1-x^3} \left (4-x^3\right )} \, dx\)
 3.72 \(\int \frac{x}{\left (4-d x^3\right ) \sqrt{-1+d x^3}} \, dx\)
 3.73 \(\int \frac{x}{\sqrt{-1+x^3} \left (8+x^3\right )} \, dx\)
 3.74 \(\int \frac{x}{\left (8-d x^3\right ) \sqrt{1+d x^3}} \, dx\)
 3.75 \(\int \frac{1}{\sqrt [3]{1-3 x^2} \left (3-x^2\right )} \, dx\)
 3.76 \(\int \frac{1}{\left (3+x^2\right ) \sqrt [3]{1+3 x^2}} \, dx\)
 3.77 \(\int \frac{1}{\sqrt [3]{1-x^2} \left (3+x^2\right )} \, dx\)
 3.78 \(\int \frac{1}{\left (3-x^2\right ) \sqrt [3]{1+x^2}} \, dx\)
 3.79 \(\int \frac{a+x}{(-a+x) \sqrt{a^2 x-\left (1+a^2\right ) x^2+x^3}} \, dx\)
 3.80 \(\int \frac{-2+a+x}{(-a+x) \sqrt{(2-a) a x+\left (-1-2 a+a^2\right ) x^2+x^3}} \, dx\)
 3.81 \(\int \frac{-a+(-1+2 a) x}{(-a+x) \sqrt{a^2 x-\left (-1+2 a+a^2\right ) x^2+(-1+2 a) x^3}} \, dx\)
 3.82 \(\int \frac{1-\sqrt [3]{2} x}{\left (2^{2/3}+x\right ) \sqrt{1+x^3}} \, dx\)
 3.83 \(\int \frac{1+x}{(-2+x) \sqrt{1+x^3}} \, dx\)
 3.84 \(\int \frac{x}{\sqrt{1+x^3} \left (10+6 \sqrt{3}+x^3\right )} \, dx\)
 3.85 \(\int \frac{x}{\sqrt{1+x^3} \left (10-6 \sqrt{3}+x^3\right )} \, dx\)
 3.86 \(\int \frac{x}{\sqrt{-1+x^3} \left (-10-6 \sqrt{3}+x^3\right )} \, dx\)
 3.87 \(\int \frac{x}{\sqrt{-1+x^3} \left (-10+6 \sqrt{3}+x^3\right )} \, dx\)
 3.88 \(\int \frac{1-\sqrt{3}+x}{\left (1+\sqrt{3}+x\right ) \sqrt{-4+4 \sqrt{3} x^2+x^4}} \, dx\)
 3.89 \(\int \frac{1+\sqrt{3}+x}{\left (1-\sqrt{3}+x\right ) \sqrt{-4-4 \sqrt{3} x^2+x^4}} \, dx\)
 3.90 \(\int \frac{-1+x}{(1+x) \sqrt [3]{2+x^3}} \, dx\)
 3.91 \(\int \frac{1}{(1+x) \sqrt [3]{2+x^3}} \, dx\)