3.1 Integrals 1 to 53
\(\int (a+b \coth ^2(c+d x))^5 \, dx\) [1]
\(\int (a+b \coth ^2(c+d x))^4 \, dx\) [2]
\(\int (a+b \coth ^2(c+d x))^3 \, dx\) [3]
\(\int (a+b \coth ^2(c+d x))^2 \, dx\) [4]
\(\int \genfrac {}{}{}{}{1}{a+b \coth ^2(c+d x)} \, dx\) [5]
\(\int \genfrac {}{}{}{}{1}{(a+b \coth ^2(c+d x))^2} \, dx\) [6]
\(\int \genfrac {}{}{}{}{1}{(a+b \coth ^2(c+d x))^3} \, dx\) [7]
\(\int \genfrac {}{}{}{}{1}{(a+b \coth ^2(c+d x))^4} \, dx\) [8]
\(\int \genfrac {}{}{}{}{1}{1-2 \coth ^2(x)} \, dx\) [9]
\(\int \sqrt {1-\coth ^2(x)} \, dx\) [10]
\(\int \sqrt {-1+\coth ^2(x)} \, dx\) [11]
\(\int (1-\coth ^2(x))^{3/2} \, dx\) [12]
\(\int (-1+\coth ^2(x))^{3/2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-\coth ^2(x)}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\coth ^2(x)}} \, dx\) [15]
\(\int \coth ^3(x) \sqrt {a+b \coth ^2(x)} \, dx\) [16]
\(\int \coth ^2(x) \sqrt {a+b \coth ^2(x)} \, dx\) [17]
\(\int \coth (x) \sqrt {a+b \coth ^2(x)} \, dx\) [18]
\(\int \sqrt {a+b \coth ^2(x)} \, dx\) [19]
\(\int \sqrt {a+b \coth ^2(x)} \tanh (x) \, dx\) [20]
\(\int \sqrt {a+b \coth ^2(x)} \tanh ^2(x) \, dx\) [21]
\(\int \coth ^3(x) (a+b \coth ^2(x))^{3/2} \, dx\) [22]
\(\int \coth ^2(x) (a+b \coth ^2(x))^{3/2} \, dx\) [23]
\(\int \coth (x) (a+b \coth ^2(x))^{3/2} \, dx\) [24]
\(\int (a+b \coth ^2(x))^{3/2} \, dx\) [25]
\(\int (a+b \coth ^2(x))^{3/2} \tanh (x) \, dx\) [26]
\(\int (a+b \coth ^2(x))^{3/2} \tanh ^2(x) \, dx\) [27]
\(\int \sqrt {1+\coth ^2(x)} \, dx\) [28]
\(\int \sqrt {-1-\coth ^2(x)} \, dx\) [29]
\(\int (1+\coth ^2(x))^{3/2} \, dx\) [30]
\(\int (-1-\coth ^2(x))^{3/2} \, dx\) [31]
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{\coth (x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \coth ^2(x)}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{\sqrt {a+b \coth ^2(x)}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \coth ^2(x))^{3/2}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [44]
\(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [45]
\(\int \genfrac {}{}{}{}{\tanh (x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{(a+b \coth ^2(x))^{5/2}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+\coth ^2(x)}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\coth ^2(x)}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{1}{1+\coth ^3(x)} \, dx\) [50]
\(\int \coth (x) \sqrt {a+b \coth ^4(x)} \, dx\) [51]
\(\int \genfrac {}{}{}{}{\coth (x)}{\sqrt {a+b \coth ^4(x)}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{\coth (x)}{(a+b \coth ^4(x))^{3/2}} \, dx\) [53]