3.1 Integrals 1 to 53

  3.1.1 \(\int (a+b \coth ^2(c+d x))^5 \, dx\) [1]
  3.1.2 \(\int (a+b \coth ^2(c+d x))^4 \, dx\) [2]
  3.1.3 \(\int (a+b \coth ^2(c+d x))^3 \, dx\) [3]
  3.1.4 \(\int (a+b \coth ^2(c+d x))^2 \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{1}{a+b \coth ^2(c+d x)} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{1}{(a+b \coth ^2(c+d x))^2} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{1}{(a+b \coth ^2(c+d x))^3} \, dx\) [7]
  3.1.8 \(\int \genfrac {}{}{}{}{1}{(a+b \coth ^2(c+d x))^4} \, dx\) [8]
  3.1.9 \(\int \genfrac {}{}{}{}{1}{1-2 \coth ^2(x)} \, dx\) [9]
  3.1.10 \(\int \sqrt {1-\coth ^2(x)} \, dx\) [10]
  3.1.11 \(\int \sqrt {-1+\coth ^2(x)} \, dx\) [11]
  3.1.12 \(\int (1-\coth ^2(x))^{3/2} \, dx\) [12]
  3.1.13 \(\int (-1+\coth ^2(x))^{3/2} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-\coth ^2(x)}} \, dx\) [14]
  3.1.15 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\coth ^2(x)}} \, dx\) [15]
  3.1.16 \(\int \coth ^3(x) \sqrt {a+b \coth ^2(x)} \, dx\) [16]
  3.1.17 \(\int \coth ^2(x) \sqrt {a+b \coth ^2(x)} \, dx\) [17]
  3.1.18 \(\int \coth (x) \sqrt {a+b \coth ^2(x)} \, dx\) [18]
  3.1.19 \(\int \sqrt {a+b \coth ^2(x)} \, dx\) [19]
  3.1.20 \(\int \sqrt {a+b \coth ^2(x)} \tanh (x) \, dx\) [20]
  3.1.21 \(\int \sqrt {a+b \coth ^2(x)} \tanh ^2(x) \, dx\) [21]
  3.1.22 \(\int \coth ^3(x) (a+b \coth ^2(x))^{3/2} \, dx\) [22]
  3.1.23 \(\int \coth ^2(x) (a+b \coth ^2(x))^{3/2} \, dx\) [23]
  3.1.24 \(\int \coth (x) (a+b \coth ^2(x))^{3/2} \, dx\) [24]
  3.1.25 \(\int (a+b \coth ^2(x))^{3/2} \, dx\) [25]
  3.1.26 \(\int (a+b \coth ^2(x))^{3/2} \tanh (x) \, dx\) [26]
  3.1.27 \(\int (a+b \coth ^2(x))^{3/2} \tanh ^2(x) \, dx\) [27]
  3.1.28 \(\int \sqrt {1+\coth ^2(x)} \, dx\) [28]
  3.1.29 \(\int \sqrt {-1-\coth ^2(x)} \, dx\) [29]
  3.1.30 \(\int (1+\coth ^2(x))^{3/2} \, dx\) [30]
  3.1.31 \(\int (-1-\coth ^2(x))^{3/2} \, dx\) [31]
  3.1.32 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [32]
  3.1.33 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [33]
  3.1.34 \(\int \genfrac {}{}{}{}{\coth (x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [34]
  3.1.35 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \coth ^2(x)}} \, dx\) [35]
  3.1.36 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [36]
  3.1.37 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [37]
  3.1.38 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [38]
  3.1.39 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [39]
  3.1.40 \(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [40]
  3.1.41 \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [41]
  3.1.42 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [42]
  3.1.43 \(\int \genfrac {}{}{}{}{\coth ^3(x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [43]
  3.1.44 \(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [44]
  3.1.45 \(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [45]
  3.1.46 \(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [46]
  3.1.47 \(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\coth ^2(x)}} \, dx\) [48]
  3.1.49 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\coth ^2(x)}} \, dx\) [49]
  3.1.50 \(\int \genfrac {}{}{}{}{1}{1+\coth ^3(x)} \, dx\) [50]
  3.1.51 \(\int \coth (x) \sqrt {a+b \coth ^4(x)} \, dx\) [51]
  3.1.52 \(\int \genfrac {}{}{}{}{\coth (x)}{\sqrt {a+b \coth ^4(x)}} \, dx\) [52]
  3.1.53 \(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \coth ^4(x))^{3/2}} \, dx\) [53]