3.3.1 \(\int \genfrac {}{}{}{}{-2 \sqrt {1+x^3}+5 x^4 \sqrt {1+x^3}-3 x^2 \sqrt {1-2 x+x^5}}{2 \sqrt {1+x^3} \sqrt {1-2 x+x^5}} \, dx\) [201]
  3.3.2 \(\int (\genfrac {}{}{}{}{10}{\sqrt {-4+x^2}}+\genfrac {}{}{}{}{1}{\sqrt {-1+x^2}}) \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {a^2+x^2}}}{x} \, dx\) [203]
  3.3.4 \(\int \genfrac {}{}{}{}{3 x^2}{2 (1+x^3+\sqrt {1+x^3})} \, dx\) [204]
  3.3.5 \(\int \genfrac {}{}{}{}{1}{\sqrt {-\alpha ^2+2 h r^2}} \, dr\) [205]
  3.3.6 \(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-\epsilon ^2+2 h r^2}} \, dr\) [206]
  3.3.7 \(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-2 k r+2 h r^2}} \, dr\) [207]
  3.3.8 \(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-\epsilon ^2-2 k r+2 h r^2}} \, dr\) [208]
  3.3.9 \(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2+2 e r^2}} \, dr\) [209]
  3.3.10 \(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2-\epsilon ^2+2 e r^2}} \, dr\) [210]
  3.3.11 \(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2+2 e r^2-2 k r^4}} \, dr\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2-2 k r+2 e r^2}} \, dr\) [212]
  3.3.13 \(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2+2 h r^2-2 k r^4}} \, dr\) [213]
  3.3.14 \(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-\epsilon ^2+2 h r^2-2 k r^4}} \, dr\) [214]
  3.3.15 \(\int a \cos (5+3 x) \sin ^2(5+3 x) \, dx\) [215]
  3.3.16 \(\int \genfrac {}{}{}{}{\log (x^2)}{x^3} \, dx\) [216]
  3.3.17 \(\int x \sin (a+x) \, dx\) [217]
  3.3.18 \(\int \genfrac {}{}{}{}{e^{-x} (-1+(1-x) \log (x))}{\log ^2(x)} \, dx\) [218]
  3.3.19 \(\int \genfrac {}{}{}{}{x^3}{b+a x^2} \, dx\) [219]
  3.3.20 \(\int \genfrac {}{}{}{}{\sqrt {x}}{(1+x)^{7/2}} \, dx\) [220]
  3.3.21 \(\int \genfrac {}{}{}{}{1}{x (1+x)} \, dx\) [221]
  3.3.22 \(\int \genfrac {}{}{}{}{1}{\sqrt {x} (-1+2 x)} \, dx\) [222]
  3.3.23 \(\int \sqrt {x} (1+x^2) \, dx\) [223]
  3.3.24 \(\int \genfrac {}{}{}{}{\sqrt [3]{-a+x}}{x} \, dx\) [224]
  3.3.25 \(\int x \sinh (x) \, dx\) [225]
  3.3.26 \(\int x \cosh (x) \, dx\) [226]
  3.3.27 \(\int \tanh (2 x) \, dx\) [227]
  3.3.28 \(\int \genfrac {}{}{}{}{-1+i \text {eps} \sinh (x)}{i a-x+i \text {eps} \cosh (x)} \, dx\) [228]
  3.3.29 \(\int \cos ^2(x) \sin (3+2 x) \, dx\) [229]
  3.3.30 \(\int x \tan ^{-1}(x) \, dx\) [230]
  3.3.31 \(\int x \cot ^{-1}(x) \, dx\) [231]
  3.3.32 \(\int x \log (a+x^2) \, dx\) [232]
  3.3.33 \(\int \cos (x) \sin (a+x) \, dx\) [233]
  3.3.34 \(\int \cos (a+x) \sin (x) \, dx\) [234]
  3.3.35 \(\int \sqrt {1+\sin (x)} \, dx\) [235]
  3.3.36 \(\int \sqrt {1-\sin (x)} \, dx\) [236]
  3.3.37 \(\int \sqrt {1+\cos (x)} \, dx\) [237]
  3.3.38 \(\int \sqrt {1-\cos (x)} \, dx\) [238]
  3.3.39 \(\int \genfrac {}{}{}{}{1}{-\sqrt {-1+x}+\sqrt {x}} \, dx\) [239]
  3.3.40 \(\int \genfrac {}{}{}{}{1}{1-\sqrt {1+x}} \, dx\) [240]
  3.3.41 \(\int \genfrac {}{}{}{}{x}{\sqrt {36+x^4}} \, dx\) [241]
  3.3.42 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{x}+\sqrt {x}} \, dx\) [242]
  3.3.43 \(\int \log (2+3 x^2) \, dx\) [243]
  3.3.44 \(\int \cot (x) \, dx\) [244]
  3.3.45 \(\int \cot ^4(x) \, dx\) [245]
  3.3.46 \(\int \tanh (x) \, dx\) [246]
  3.3.47 \(\int \coth (x) \, dx\) [247]
  3.3.48 \(\int b^x \, dx\) [248]
  3.3.49 \(\int \sqrt {2+\genfrac {}{}{}{}{1}{x^4}+x^4} \, dx\) [249]
  3.3.50 \(\int \genfrac {}{}{}{}{1+2 x}{2+3 x} \, dx\) [250]
  3.3.51 \(\int x \log (x+\sqrt {1+x^2}) \, dx\) [251]
  3.3.52 \(\int x (1+e^x \sin (x))^2 \, dx\) [252]
  3.3.53 \(\int e^x x \cos (x) \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{1}{(-3+x)^4} \, dx\) [254]
  3.3.55 \(\int \genfrac {}{}{}{}{x}{-1+x^3} \, dx\) [255]
  3.3.56 \(\int \genfrac {}{}{}{}{x}{-1+x^4} \, dx\) [256]
  3.3.57 \(\int \genfrac {}{}{}{}{(1+x^3) \log (x)}{2+x^4} \, dx\) [257]
  3.3.58 \(\int (\log (x)+\log (1+x)+\log (2+x)) \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{1}{5+x^3} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2}} \, dx\) [260]
  3.3.61 \(\int \sqrt {3+x^2} \, dx\) [261]
  3.3.62 \(\int \genfrac {}{}{}{}{x}{(1+x)^2} \, dx\) [262]
  3.3.63 \(\int \sin ^{-1}(x) \, dx\) [263]
  3.3.64 \(\int x^2 \sin ^{-1}(x) \, dx\) [264]
  3.3.65 \(\int \genfrac {}{}{}{}{\sec ^2(x)}{1+\sec ^2(x)-3 \tan (x)} \, dx\) [265]
  3.3.66 \(\int \cos ^2(x) \, dx\) [266]
  3.3.67 \(\int \genfrac {}{}{}{}{-2-3 x+5 x^2}{(-2+x) x^2} \, dx\) [267]
  3.3.68 \(\int \genfrac {}{}{}{}{1}{\sqrt {9+4 x^2}} \, dx\) [268]
  3.3.69 \(\int \genfrac {}{}{}{}{1}{\sqrt {4+x^2}} \, dx\) [269]
  3.3.70 \(\int \genfrac {}{}{}{}{1}{10-12 x+9 x^2} \, dx\) [270]
  3.3.71 \(\int \genfrac {}{}{}{}{1}{x^4-2 x^5+2 x^6-2 x^7+x^8} \, dx\) [271]
  3.3.72 \(\int \genfrac {}{}{}{}{d+c x+b x^2+a x^3}{(-3+x) x (1+x)} \, dx\) [272]
  3.3.73 \(\int \genfrac {}{}{}{}{1}{(2-\log (1+x^2))^5} \, dx\) [273]
  3.3.74 \(\int (\genfrac {}{}{}{}{e^{x^2}}{x}+2 e^{x^2} x \log (x)+\genfrac {}{}{}{}{-2+\log (x)}{(x+\log ^2(x))^2}+\genfrac {}{}{}{}{1+\genfrac {}{}{}{}{1}{x}+\genfrac {}{}{}{}{2 \log (x)}{x}}{x+\log ^2(x)}) \, dx\) [274]
  3.3.75 \(\int e^{\genfrac {}{}{}{}{x}{2}+x z} x^4 \sin ^4(\pi z) \, dz\) [275]
  3.3.76 \(\int \text {erf}(x) \, dx\) [276]
  3.3.77 \(\int \text {erf}(a+x) \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{-8-8 x-x^2-3 x^3+7 x^4+4 x^5+2 x^6}{(-1+2 x^2)^2 \sqrt {1+2 x^2+4 x^3+x^4}} \, dx\) [278]
  3.3.79 \(\int \genfrac {}{}{}{}{(1+2 y) \sqrt {1-5 y-5 y^2}}{y (1+y) (2+y) \sqrt {1-y-y^2}} \, dy\) [279]
  3.3.80 \(\int \genfrac {}{}{}{}{x (-\sqrt {-4+x^2}+x^2 \sqrt {-4+x^2}-4 \sqrt {-1+x^2}+x^2 \sqrt {-1+x^2})}{(4-5 x^2+x^4) (1+\sqrt {-4+x^2}+\sqrt {-1+x^2})} \, dx\) [280]
  3.3.81 \(\int (\sqrt {9-4 \sqrt {2}} x-\sqrt {2} \sqrt {1+4 x+2 x^2+x^4}) \, dx\) [281]
  3.3.82 \(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x}{y}} (\pi ^2 (-3 \text {mc}^8+4 \text {mc}^9+24 \text {mc}^6 x-48 \text {mc}^7 x-144 \text {mc}^5 x^2-24 \text {mc}^2 x^3+176 \text {mc}^3 x^3+3 x^4+12 \text {mc} x^4)+12 \text {mc}^3 \pi ^2 (3 \text {mc}-12 \text {mc}^2-8 x) x^2 \log (\genfrac {}{}{}{}{x}{\text {mc}^2}))}{384 x^2} \, dx\) [282]
  3.3.83 \(\int \sec (x) \sin (2 x) \, dx\) [283]
  3.3.84 \(\int \genfrac {}{}{}{}{3+3 x-4 x^2-4 x^3-7 x^6+4 x^7+10 x^8+7 x^{13}}{1+2 x-x^2-4 x^3-2 x^4-2 x^7-2 x^8+x^{14}} \, dx\) [284]