3.1.1 \(\int \arcsin (x) \log (x) \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{x \arcsin (x)}{\sqrt {1-x^2}} \, dx\) [2]
3.1.3 \(\int -\arcsin (\sqrt {x}-\sqrt {1+x}) \, dx\) [3]
3.1.4 \(\int \log (1+x \sqrt {1+x^2}) \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{\cos ^2(x)}{\sqrt {1+\cos ^2(x)+\cos ^4(x)}} \, dx\) [5]
3.1.6 \(\int \tan (x) \sqrt {1+\tan ^4(x)} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {1+\sec ^3(x)}} \, dx\) [7]
3.1.8 \(\int \sqrt {2+2 \tan (x)+\tan ^2(x)} \, dx\) [8]
3.1.9 \(\int \arctan (\sqrt {-1+\sec (x)}) \sin (x) \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{e^{\arcsin (x)} x^3}{\sqrt {1-x^2}} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{x \log (1+x^2) \log (x+\sqrt {1+x^2})}{\sqrt {1+x^2}} \, dx\) [11]
3.1.12 \(\int \arctan (x+\sqrt {1-x^2}) \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{x \arctan (x+\sqrt {1-x^2})}{\sqrt {1-x^2}} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{\arcsin (x)}{1+\sqrt {1-x^2}} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{\log (x+\sqrt {1+x^2})}{(1-x^2)^{3/2}} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{\arcsin (x)}{(1+x^2)^{3/2}} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{\log (x+\sqrt {-1+x^2})}{(1+x^2)^{3/2}} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{\log (x)}{x^2 \sqrt {-1+x^2}} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{\sqrt {1+x^3}}{x} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{x \log (x+\sqrt {-1+x^2})}{\sqrt {-1+x^2}} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{x^3 \arcsin (x)}{\sqrt {1-x^4}} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{x^3 \sec ^{-1}(x)}{\sqrt {-1+x^4}} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{x \arctan (x) \log (x+\sqrt {1+x^2})}{\sqrt {1+x^2}} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{x \log (1+\sqrt {1-x^2})}{\sqrt {1-x^2}} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{x \log (x+\sqrt {1+x^2})}{\sqrt {1+x^2}} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{x \log (x+\sqrt {1-x^2})}{\sqrt {1-x^2}} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{\log (x)}{x^2 \sqrt {1-x^2}} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{x \arctan (x)}{\sqrt {1+x^2}} \, dx\) [28]
3.1.29 \(\int \genfrac {}{}{}{}{\arctan (x)}{x^2 \sqrt {1-x^2}} \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{x \arctan (x)}{\sqrt {1-x^2}} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{\arctan (x)}{x^2 \sqrt {1+x^2}} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{\arcsin (x)}{x^2 \sqrt {1-x^2}} \, dx\) [32]
3.1.33 \(\int \genfrac {}{}{}{}{x \log (x)}{\sqrt {-1+x^2}} \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{\log (x)}{x^2 \sqrt {1+x^2}} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{x \sec ^{-1}(x)}{\sqrt {-1+x^2}} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{x \log (x)}{\sqrt {1+x^2}} \, dx\) [36]
3.1.37 \(\int \genfrac {}{}{}{}{\sin (x)}{1+\sin ^2(x)} \, dx\) [37]
3.1.38 \(\int \genfrac {}{}{}{}{1+x^2}{(1-x^2) \sqrt {1+x^4}} \, dx\) [38]
3.1.39 \(\int \genfrac {}{}{}{}{1-x^2}{(1+x^2) \sqrt {1+x^4}} \, dx\) [39]
3.1.40 \(\int \genfrac {}{}{}{}{\log (\sin (x))}{1+\sin (x)} \, dx\) [40]
3.1.41 \(\int \log (\sin (x)) \sqrt {1+\sin (x)} \, dx\) [41]
3.1.42 \(\int \genfrac {}{}{}{}{\sec (x)}{\sqrt {-1+\sec ^4(x)}} \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {1+\tan ^4(x)}} \, dx\) [43]
3.1.44 \(\int \genfrac {}{}{}{}{\sin (x)}{\sqrt {1-\sin ^6(x)}} \, dx\) [44]
3.1.45 \(\int \sqrt {-\sqrt {-1+\sec (x)}+\sqrt {1+\sec (x)}} \, dx\) [45]
3.1.46 \(\int x \arctan (x)^2 \log (1+x^2) \, dx\) [46]
3.1.47 \(\int \arctan (x \sqrt {1+x^2}) \, dx\) [47]
3.1.48 \(\int -\arctan (\sqrt {x}-\sqrt {1+x}) \, dx\) [48]
3.1.49 \(\int \arcsin (\genfrac {}{}{}{}{x}{\sqrt {1-x^2}}) \, dx\) [49]
3.1.50 \(\int \arctan (x \sqrt {1-x^2}) \, dx\) [50]