\(\int \genfrac {}{}{}{}{-2 \sqrt {1+x^3}+5 x^4 \sqrt {1+x^3}-3 x^2 \sqrt {1-2 x+x^5}}{2 \sqrt {1+x^3} \sqrt {1-2 x+x^5}} \, dx\) [201]
\(\int (\genfrac {}{}{}{}{10}{\sqrt {-4+x^2}}+\genfrac {}{}{}{}{1}{\sqrt {-1+x^2}}) \, dx\) [202]
\(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {a^2+x^2}}}{x} \, dx\) [203]
\(\int \genfrac {}{}{}{}{3 x^2}{2 (1+x^3+\sqrt {1+x^3})} \, dx\) [204]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-\alpha ^2+2 h r^2}} \, dr\) [205]
\(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-\epsilon ^2+2 h r^2}} \, dr\) [206]
\(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-2 k r+2 h r^2}} \, dr\) [207]
\(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-\epsilon ^2-2 k r+2 h r^2}} \, dr\) [208]
\(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2+2 (\genfrac {}{}{}{}{5 \text {g0} \text {g2L} \text {L2}^5}{(\text {L1}+\text {L2})^6 r^2}+\genfrac {}{}{}{}{\text {g10} \text {g1L} \text {L2}^5}{(\text {L1}+\text {L2})^5 r^2}+\genfrac {}{}{}{}{\text {g0} \text {g2L} \text {L2}^6}{\text {L1} (\text {L1}+\text {L2})^5 r^2}) r^2}} \, dr\) [209]
\(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2-\epsilon ^2+2 (\genfrac {}{}{}{}{5 \text {g0} \text {g2L} \text {L2}^5}{(\text {L1}+\text {L2})^6 r^2}+\genfrac {}{}{}{}{\text {g10} \text {g1L} \text {L2}^5}{(\text {L1}+\text {L2})^5 r^2}+\genfrac {}{}{}{}{\text {g0} \text {g2L} \text {L2}^6}{\text {L1} (\text {L1}+\text {L2})^5 r^2}) r^2}} \, dr\) [210]
\(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2+2 (\genfrac {}{}{}{}{5 \text {g0} \text {g2L} \text {L2}^5}{(\text {L1}+\text {L2})^6 r^2}+\genfrac {}{}{}{}{\text {g10} \text {g1L} \text {L2}^5}{(\text {L1}+\text {L2})^5 r^2}+\genfrac {}{}{}{}{\text {g0} \text {g2L} \text {L2}^6}{\text {L1} (\text {L1}+\text {L2})^5 r^2}) r^2-2 k r^4}} \, dr\) [211]
\(\int \genfrac {}{}{}{}{r}{\sqrt {-\alpha ^2-2 k r+2 (\genfrac {}{}{}{}{5 \text {g0} \text {g2L} \text {L2}^5}{(\text {L1}+\text {L2})^6 r^2}+\genfrac {}{}{}{}{\text {g10} \text {g1L} \text {L2}^5}{(\text {L1}+\text {L2})^5 r^2}+\genfrac {}{}{}{}{\text {g0} \text {g2L} \text {L2}^6}{\text {L1} (\text {L1}+\text {L2})^5 r^2}) r^2}} \, dr\) [212]
\(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2+2 h r^2-2 k r^4}} \, dr\) [213]
\(\int \genfrac {}{}{}{}{1}{r \sqrt {-\alpha ^2-\epsilon ^2+2 h r^2-2 k r^4}} \, dr\) [214]
\(\int a \cos (5+3 x) \sin ^2(5+3 x) \, dx\) [215]
\(\int \genfrac {}{}{}{}{\log (x^2)}{x^3} \, dx\) [216]
\(\int x \sin (a+x) \, dx\) [217]
\(\int \genfrac {}{}{}{}{e^{-x} (-1+(1-x) \log (x))}{\log ^2(x)} \, dx\) [218]
\(\int \genfrac {}{}{}{}{x^3}{b+a x^2} \, dx\) [219]
\(\int \genfrac {}{}{}{}{\sqrt {x}}{(1+x)^{7/2}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{1}{x (1+x)} \, dx\) [221]
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} (-1+2 x)} \, dx\) [222]
\(\int \sqrt {x} (1+x^2) \, dx\) [223]
\(\int \genfrac {}{}{}{}{\sqrt [3]{-a+x}}{x} \, dx\) [224]
\(\int x \sinh (x) \, dx\) [225]
\(\int x \cosh (x) \, dx\) [226]
\(\int \tanh (2 x) \, dx\) [227]
\(\int \genfrac {}{}{}{}{-1+i \text {eps} \sinh (x)}{i a-x+i \text {eps} \cosh (x)} \, dx\) [228]
\(\int \cos ^2(x) \sin (3+2 x) \, dx\) [229]
\(\int x \arctan (x) \, dx\) [230]
\(\int x \cot ^{-1}(x) \, dx\) [231]
\(\int x \log (a+x^2) \, dx\) [232]
\(\int \cos (x) \sin (a+x) \, dx\) [233]
\(\int \cos (a+x) \sin (x) \, dx\) [234]
\(\int \sqrt {1+\sin (x)} \, dx\) [235]
\(\int \sqrt {1-\sin (x)} \, dx\) [236]
\(\int \sqrt {1+\cos (x)} \, dx\) [237]
\(\int \sqrt {1-\cos (x)} \, dx\) [238]
\(\int \genfrac {}{}{}{}{1}{-\sqrt {-1+x}+\sqrt {x}} \, dx\) [239]
\(\int \genfrac {}{}{}{}{1}{1-\sqrt {1+x}} \, dx\) [240]
\(\int \genfrac {}{}{}{}{x}{\sqrt {36+x^4}} \, dx\) [241]
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{x}+\sqrt {x}} \, dx\) [242]
\(\int \log (2+3 x^2) \, dx\) [243]
\(\int \cot (x) \, dx\) [244]
\(\int \cot ^4(x) \, dx\) [245]
\(\int \tanh (x) \, dx\) [246]
\(\int \coth (x) \, dx\) [247]
\(\int b^x \, dx\) [248]
\(\int \sqrt {2+\genfrac {}{}{}{}{1}{x^4}+x^4} \, dx\) [249]
\(\int \genfrac {}{}{}{}{1+2 x}{2+3 x} \, dx\) [250]
\(\int x \log (x+\sqrt {1+x^2}) \, dx\) [251]
\(\int x (1+e^x \sin (x))^2 \, dx\) [252]
\(\int e^x x \cos (x) \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{(-3+x)^4} \, dx\) [254]
\(\int \genfrac {}{}{}{}{x}{-1+x^3} \, dx\) [255]
\(\int \genfrac {}{}{}{}{x}{-1+x^4} \, dx\) [256]
\(\int \genfrac {}{}{}{}{(1+x^3) \log (x)}{2+x^4} \, dx\) [257]
\(\int (\log (x)+\log (1+x)+\log (2+x)) \, dx\) [258]
\(\int \genfrac {}{}{}{}{1}{5+x^3} \, dx\) [259]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+x^2}} \, dx\) [260]
\(\int \sqrt {3+x^2} \, dx\) [261]
\(\int \genfrac {}{}{}{}{x}{(1+x)^2} \, dx\) [262]
\(\int \arcsin (x) \, dx\) [263]
\(\int x^2 \arcsin (x) \, dx\) [264]
\(\int \genfrac {}{}{}{}{\sec ^2(x)}{1+\sec ^2(x)-3 \tan (x)} \, dx\) [265]
\(\int \cos ^2(x) \, dx\) [266]
\(\int \genfrac {}{}{}{}{-2-3 x+5 x^2}{(-2+x) x^2} \, dx\) [267]
\(\int \genfrac {}{}{}{}{1}{\sqrt {9+4 x^2}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4+x^2}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{1}{10-12 x+9 x^2} \, dx\) [270]
\(\int \genfrac {}{}{}{}{1}{x^4-2 x^5+2 x^6-2 x^7+x^8} \, dx\) [271]
\(\int \genfrac {}{}{}{}{d+c x+b x^2+a x^3}{(-3+x) x (1+x)} \, dx\) [272]
\(\int \genfrac {}{}{}{}{1}{(2-\log (1+x^2))^5} \, dx\) [273]
\(\int (\genfrac {}{}{}{}{e^{x^2}}{x}+2 e^{x^2} x \log (x)+\genfrac {}{}{}{}{-2+\log (x)}{(x+\log ^2(x))^2}+\genfrac {}{}{}{}{1+\genfrac {}{}{}{}{1}{x}+\genfrac {}{}{}{}{2 \log (x)}{x}}{x+\log ^2(x)}) \, dx\) [274]
\(\int e^{\genfrac {}{}{}{}{x}{2}+x z} x^4 \sin ^4(\pi z) \, dz\) [275]
\(\int \text {erf}(x) \, dx\) [276]
\(\int \text {erf}(a+x) \, dx\) [277]
\(\int \genfrac {}{}{}{}{-8-8 x-x^2-3 x^3+7 x^4+4 x^5+2 x^6}{(-1+2 x^2)^2 \sqrt {1+2 x^2+4 x^3+x^4}} \, dx\) [278]
\(\int \genfrac {}{}{}{}{(1+2 y) \sqrt {1-5 y-5 y^2}}{y (1+y) (2+y) \sqrt {1-y-y^2}} \, dy\) [279]
\(\int \genfrac {}{}{}{}{x (-\sqrt {-4+x^2}+x^2 \sqrt {-4+x^2}-4 \sqrt {-1+x^2}+x^2 \sqrt {-1+x^2})}{(4-5 x^2+x^4) (1+\sqrt {-4+x^2}+\sqrt {-1+x^2})} \, dx\) [280]
\(\int (\sqrt {9-4 \sqrt {2}} x-\sqrt {2} \sqrt {1+4 x+2 x^2+x^4}) \, dx\) [281]
\(\int \genfrac {}{}{}{}{e^{-\genfrac {}{}{}{}{x}{y}} (\pi ^2 (-3 \text {mc}^8+4 \text {mc}^9+24 \text {mc}^6 x-48 \text {mc}^7 x-144 \text {mc}^5 x^2-24 \text {mc}^2 x^3+176 \text {mc}^3 x^3+3 x^4+12 \text {mc} x^4)+12 \text {mc}^3 \pi ^2 (3 \text {mc}-12 \text {mc}^2-8 x) x^2 \log (\genfrac {}{}{}{}{x}{\text {mc}^2}))}{384 x^2} \, dx\) [282]
\(\int \sec (x) \sin (2 x) \, dx\) [283]
\(\int \genfrac {}{}{}{}{3+3 x-4 x^2-4 x^3-7 x^6+4 x^7+10 x^8+7 x^{13}}{1+2 x-x^2-4 x^3-2 x^4-2 x^7-2 x^8+x^{14}} \, dx\) [284]