\(\int \genfrac {}{}{}{}{\sqrt {1+x^8} (1+2 x^8)}{x+2 x^9+x^{17}} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{1}{1+x^2} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {1+x^8}} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {1-x^3}} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {1-x^3}} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {-71-96 x+10 x^2+x^4}} \, dx\) [6]
   \(\int \cot ^2(x) (x-\tan (x)) \, dx\) [7]
   \(\int (1+x \tan (x)+\tan ^2(x)) \, dx\) [8]
   \(\int \genfrac {}{}{}{}{\sin (x)}{x} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{5 x^2+3 \sqrt [3]{e^x+x}+e^x (3 x+2 x^2)}{x \sqrt [3]{e^x+x}} \, dx\) [10]
   \(\int (\genfrac {}{}{}{}{1}{x}+\genfrac {}{}{}{}{1+\genfrac {}{}{}{}{1}{x}}{(x+\log (x))^{3/2}}) \, dx\) [11]
   \(\int \genfrac {}{}{}{}{x^2+2 x \log (x)+\log ^2(x)+(1+x) \sqrt {x+\log (x)}}{x^3+2 x^2 \log (x)+x \log ^2(x)} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{-x^2-\log (x)+2 \log ^2(x)}{-x^2 \log (x)+\log ^3(x)} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{6-3 x^2+x^4}{4+5 x^2-5 x^4+x^6} \, dx\) [14]