3.3 Integrals 201 to 263

   \(\int \genfrac {}{}{}{}{1}{(a+b \tanh ^2(c+d x))^4} \, dx\) [201]
   \(\int \sqrt {1-\tanh ^2(x)} \, dx\) [202]
   \(\int \sqrt {-1+\tanh ^2(x)} \, dx\) [203]
   \(\int (1-\tanh ^2(x))^{3/2} \, dx\) [204]
   \(\int (-1+\tanh ^2(x))^{3/2} \, dx\) [205]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-\tanh ^2(x)}} \, dx\) [206]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\tanh ^2(x)}} \, dx\) [207]
   \(\int \tanh ^5(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [208]
   \(\int \tanh ^4(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [209]
   \(\int \tanh ^3(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [210]
   \(\int \tanh ^2(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [211]
   \(\int \tanh (x) \sqrt {a+b \tanh ^2(x)} \, dx\) [212]
   \(\int \sqrt {a+b \tanh ^2(x)} \, dx\) [213]
   \(\int \coth (x) \sqrt {a+b \tanh ^2(x)} \, dx\) [214]
   \(\int \coth ^2(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [215]
   \(\int \coth ^3(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [216]
   \(\int \coth ^4(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [217]
   \(\int \coth ^5(x) \sqrt {a+b \tanh ^2(x)} \, dx\) [218]
   \(\int \tanh ^3(x) (a+b \tanh ^2(x))^{3/2} \, dx\) [219]
   \(\int \tanh ^2(x) (a+b \tanh ^2(x))^{3/2} \, dx\) [220]
   \(\int \tanh (x) (a+b \tanh ^2(x))^{3/2} \, dx\) [221]
   \(\int (a+b \tanh ^2(x))^{3/2} \, dx\) [222]
   \(\int \coth (x) (a+b \tanh ^2(x))^{3/2} \, dx\) [223]
   \(\int \coth ^2(x) (a+b \tanh ^2(x))^{3/2} \, dx\) [224]
   \(\int \sqrt {1+\tanh ^2(x)} \, dx\) [225]
   \(\int \sqrt {-1-\tanh ^2(x)} \, dx\) [226]
   \(\int (1+\tanh ^2(x))^{3/2} \, dx\) [227]
   \(\int (-1-\tanh ^2(x))^{3/2} \, dx\) [228]
   \(\int \genfrac {}{}{}{}{\tanh ^5(x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [229]
   \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [230]
   \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [231]
   \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [232]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [233]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [234]
   \(\int \genfrac {}{}{}{}{\coth (x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [235]
   \(\int \genfrac {}{}{}{}{\coth ^2(x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [236]
   \(\int \genfrac {}{}{}{}{\coth ^3(x)}{\sqrt {a+b \tanh ^2(x)}} \, dx\) [237]
   \(\int \genfrac {}{}{}{}{\tanh ^5(x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [238]
   \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [239]
   \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [240]
   \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [241]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [242]
   \(\int \genfrac {}{}{}{}{1}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [243]
   \(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [244]
   \(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \tanh ^2(x))^{3/2}} \, dx\) [245]
   \(\int \genfrac {}{}{}{}{\tanh ^6(x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [246]
   \(\int \genfrac {}{}{}{}{\tanh ^5(x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [247]
   \(\int \genfrac {}{}{}{}{\tanh ^4(x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [248]
   \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [249]
   \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [250]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [251]
   \(\int \genfrac {}{}{}{}{1}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [252]
   \(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [253]
   \(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \tanh ^2(x))^{5/2}} \, dx\) [254]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\tanh ^2(x)}} \, dx\) [255]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\tanh ^2(x)}} \, dx\) [256]
   \(\int (a+b \tanh ^3(c+d x))^2 \, dx\) [257]
   \(\int \genfrac {}{}{}{}{1}{1+\tanh ^3(x)} \, dx\) [258]
   \(\int \tanh (x) (a+b \tanh ^4(x))^{3/2} \, dx\) [259]
   \(\int \tanh (x) \sqrt {a+b \tanh ^4(x)} \, dx\) [260]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \tanh ^4(x)}} \, dx\) [261]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \tanh ^4(x))^{3/2}} \, dx\) [262]
   \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \tanh ^4(x))^{5/2}} \, dx\) [263]