3.1.1 \(\int \genfrac {}{}{}{}{1}{\sqrt {2}+\cos (z)+\sin (z)} \, dz\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{1}{(\sqrt {1-x}+\sqrt {1+x})^2} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{1}{(1+\cos (x))^2} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{\sin (x)}{\sqrt {1+x}} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{1}{(\cos (x)+\sin (x))^6} \, dx\) [5]
3.1.6 \(\int \log (\genfrac {}{}{}{}{1}{x^4}+x^4) \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{\log (1+x)}{x \sqrt {1+\sqrt {1+x}}} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x}} \log (1+x)}{x} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{1}{1+\sqrt {x+\sqrt {1+x^2}}} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{x+\sqrt {1+\sqrt {1+x}}} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{1}{x-\sqrt {1+\sqrt {1+x}}} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{x}{x+\sqrt {1-\sqrt {1+x}}} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{\sqrt {1+x} (1+x^2)} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{1+x^2} \, dx\) [14]
3.1.15 \(\int \sqrt {1+\sqrt {x}+\sqrt {1+2 \sqrt {x}+2 x}} \, dx\) [15]
3.1.16 \(\int \sqrt {\sqrt {2}+\sqrt {x}+\sqrt {2+2 \sqrt {2} \sqrt {x}+2 x}} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{\sqrt {x+\sqrt {1+x}}}{x^2} \, dx\) [17]
3.1.18 \(\int \sqrt {\sqrt {1+\genfrac {}{}{}{}{1}{x}}+\genfrac {}{}{}{}{1}{x}} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{\sqrt {1+e^{-x}}}{-e^{-x}+e^x} \, dx\) [19]
3.1.20 \(\int \sqrt {1+e^{-x}} \text {csch}(x) \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{1}{(\cos (x)+\cos (3 x))^5} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{1}{(1+\cos (x)+\sin (x))^2} \, dx\) [22]
3.1.23 \(\int \sqrt {1+\tanh (4 x)} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {e^x+e^{2 x}}} \, dx\) [24]
3.1.25 \(\int \sqrt {\text {sech}(x) \sinh (2 x)} \, dx\) [25]
3.1.26 \(\int \log (x^2+\sqrt {1-x^2}) \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{\log (1+e^x)}{1+e^{2 x}} \, dx\) [27]
3.1.28 \(\int \cosh (x) \log ^2(1+\cosh ^2(x)) \, dx\) [28]
3.1.29 \(\int \cosh (x) \log ^2(\cosh ^2(x)+\sinh (x)) \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{\log (x+\sqrt {1+x})}{1+x^2} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{\log ^2(x+\sqrt {1+x})}{(1+x)^2} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{\log (x+\sqrt {1+x})}{x} \, dx\) [32]
3.1.33 \(\int \arctan (2 \tan (x)) \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{\arctan (x) \log (x)}{x} \, dx\) [34]
3.1.35 \(\int \sqrt {1+x^2} \arctan (x)^2 \, dx\) [35]