\(\int \genfrac {}{}{}{}{1}{\sqrt {2}+\cos (z)+\sin (z)} \, dz\) [1]
   \(\int \genfrac {}{}{}{}{1}{(\sqrt {1-x}+\sqrt {1+x})^2} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{1}{(1+\cos (x))^2} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{\sin (x)}{\sqrt {1+x}} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{1}{(\cos (x)+\sin (x))^6} \, dx\) [5]
   \(\int \log (\genfrac {}{}{}{}{1}{x^4}+x^4) \, dx\) [6]
   \(\int \genfrac {}{}{}{}{\log (1+x)}{x \sqrt {1+\sqrt {1+x}}} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x}} \log (1+x)}{x} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{1}{1+\sqrt {x+\sqrt {1+x^2}}} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{x+\sqrt {1+\sqrt {1+x}}} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{1}{x-\sqrt {1+\sqrt {1+x}}} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{x}{x+\sqrt {1-\sqrt {1+x}}} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{\sqrt {1+x} (1+x^2)} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{1+x^2} \, dx\) [14]
   \(\int \sqrt {1+\sqrt {x}+\sqrt {1+2 \sqrt {x}+2 x}} \, dx\) [15]
   \(\int \sqrt {\sqrt {2}+\sqrt {x}+\sqrt {2+2 \sqrt {2} \sqrt {x}+2 x}} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{x^2} \, dx\) [17]
   \(\int \sqrt {\sqrt {1+\genfrac {}{}{}{}{1}{x}}+\genfrac {}{}{}{}{1}{x}} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{\sqrt {1+e^{-x}}}{-e^{-x}+e^x} \, dx\) [19]
   \(\int \sqrt {1+e^{-x}} \text {csch}(x) \, dx\) [20]
   \(\int \genfrac {}{}{}{}{1}{(\cos (x)+\cos (3 x))^5} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{1}{(1+\cos (x)+\sin (x))^2} \, dx\) [22]
   \(\int \sqrt {1+\tanh (4 x)} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {e^x+e^{2 x}}} \, dx\) [24]
   \(\int \sqrt {\text {sech}(x) \sinh (2 x)} \, dx\) [25]
   \(\int \log (x^2+\sqrt {1-x^2}) \, dx\) [26]
   \(\int \genfrac {}{}{}{}{\log (1+e^x)}{1+e^{2 x}} \, dx\) [27]
   \(\int \cosh (x) \log ^2(1+\cosh ^2(x)) \, dx\) [28]
   \(\int \cosh (x) \log ^2(\cosh ^2(x)+\sinh (x)) \, dx\) [29]
   \(\int \genfrac {}{}{}{}{\log (x+\sqrt {1+x})}{1+x^2} \, dx\) [30]
   \(\int \genfrac {}{}{}{}{\log ^2(x+\sqrt {1+x})}{(1+x)^2} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{\log (x+\sqrt {1+x})}{x} \, dx\) [32]
   \(\int \arctan (2 \tan (x)) \, dx\) [33]
   \(\int \genfrac {}{}{}{}{\arctan (x) \log (x)}{x} \, dx\) [34]
   \(\int \sqrt {1+x^2} \arctan (x)^2 \, dx\) [35]