3.1 Integrals 1 to 64

   \(\int \genfrac {}{}{}{}{A+C \cot ^2(c+d x)}{\sqrt {b \tan (c+d x)}} \, dx\) [1]
   \(\int (a+b \cot ^2(c+d x)) \, dx\) [2]
   \(\int (a+b \cot ^2(c+d x))^2 \, dx\) [3]
   \(\int (a+b \cot ^2(c+d x))^3 \, dx\) [4]
   \(\int \genfrac {}{}{}{}{1}{a+b \cot ^2(c+d x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cot ^2(c+d x))^2} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cot ^2(c+d x))^3} \, dx\) [7]
   \(\int (1+\cot ^2(x))^{3/2} \, dx\) [8]
   \(\int \sqrt {1+\cot ^2(x)} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\cot ^2(x)}} \, dx\) [10]
   \(\int (-1-\cot ^2(x))^{3/2} \, dx\) [11]
   \(\int \sqrt {-1-\cot ^2(x)} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\cot ^2(x)}} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\cot ^3(x)}{\sqrt {a+a \cot ^2(x)}} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{\cot ^2(x)}{\sqrt {a+a \cot ^2(x)}} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {a+a \cot ^2(x)}} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+a \cot ^2(x)}} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{\tan ^2(x)}{\sqrt {a+a \cot ^2(x)}} \, dx\) [18]
   \(\int \cot ^3(x) \sqrt {a+b \cot ^2(x)} \, dx\) [19]
   \(\int \cot (x) \sqrt {a+b \cot ^2(x)} \, dx\) [20]
   \(\int \sqrt {a+b \cot ^2(x)} \tan (x) \, dx\) [21]
   \(\int \cot ^2(x) \sqrt {a+b \cot ^2(x)} \, dx\) [22]
   \(\int \sqrt {a+b \cot ^2(x)} \, dx\) [23]
   \(\int \sqrt {a+b \cot ^2(x)} \tan ^2(x) \, dx\) [24]
   \(\int \sqrt {a+b \cot ^2(x)} \tan ^4(x) \, dx\) [25]
   \(\int \cot ^3(x) (a+b \cot ^2(x))^{3/2} \, dx\) [26]
   \(\int \cot ^2(x) (a+b \cot ^2(x))^{3/2} \, dx\) [27]
   \(\int \cot (x) (a+b \cot ^2(x))^{3/2} \, dx\) [28]
   \(\int (a+b \cot ^2(x))^{3/2} \tan (x) \, dx\) [29]
   \(\int (a+b \cot ^2(x))^{3/2} \tan ^2(x) \, dx\) [30]
   \(\int (a+b \cot ^2(c+d x))^{5/2} \, dx\) [31]
   \(\int (a+b \cot ^2(c+d x))^{3/2} \, dx\) [32]
   \(\int \sqrt {a+b \cot ^2(c+d x)} \, dx\) [33]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cot ^2(c+d x)}} \, dx\) [34]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cot ^2(c+d x))^{3/2}} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cot ^2(c+d x))^{5/2}} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cot ^2(c+d x))^{7/2}} \, dx\) [37]
   \(\int (1-\cot ^2(x))^{3/2} \, dx\) [38]
   \(\int \sqrt {1-\cot ^2(x)} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-\cot ^2(x)}} \, dx\) [40]
   \(\int (-1+\cot ^2(x))^{3/2} \, dx\) [41]
   \(\int \sqrt {-1+\cot ^2(x)} \, dx\) [42]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\cot ^2(x)}} \, dx\) [43]
   \(\int \genfrac {}{}{}{}{\cot ^3(x)}{\sqrt {a+b \cot ^2(x)}} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{\cot ^2(x)}{\sqrt {a+b \cot ^2(x)}} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {a+b \cot ^2(x)}} \, dx\) [46]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cot ^2(x)}} \, dx\) [47]
   \(\int \genfrac {}{}{}{}{\tan ^2(x)}{\sqrt {a+b \cot ^2(x)}} \, dx\) [48]
   \(\int \genfrac {}{}{}{}{\cot ^3(x)}{(a+b \cot ^2(x))^{3/2}} \, dx\) [49]
   \(\int \genfrac {}{}{}{}{\cot ^2(x)}{(a+b \cot ^2(x))^{3/2}} \, dx\) [50]
   \(\int \genfrac {}{}{}{}{\cot (x)}{(a+b \cot ^2(x))^{3/2}} \, dx\) [51]
   \(\int \genfrac {}{}{}{}{\tan (x)}{(a+b \cot ^2(x))^{3/2}} \, dx\) [52]
   \(\int \genfrac {}{}{}{}{\tan ^2(x)}{(a+b \cot ^2(x))^{3/2}} \, dx\) [53]
   \(\int \genfrac {}{}{}{}{\cot ^3(x)}{(a+b \cot ^2(x))^{5/2}} \, dx\) [54]
   \(\int \genfrac {}{}{}{}{\cot ^2(x)}{(a+b \cot ^2(x))^{5/2}} \, dx\) [55]
   \(\int \genfrac {}{}{}{}{\cot (x)}{(a+b \cot ^2(x))^{5/2}} \, dx\) [56]
   \(\int \genfrac {}{}{}{}{\tan (x)}{(a+b \cot ^2(x))^{5/2}} \, dx\) [57]
   \(\int \genfrac {}{}{}{}{\tan ^2(x)}{(a+b \cot ^2(x))^{5/2}} \, dx\) [58]
   \(\int \genfrac {}{}{}{}{1}{1+\cot ^3(x)} \, dx\) [59]
   \(\int \cot (x) \sqrt {a+b \cot ^4(x)} \, dx\) [60]
   \(\int \cot (x) (a+b \cot ^4(x))^{3/2} \, dx\) [61]
   \(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {a+b \cot ^4(x)}} \, dx\) [62]
   \(\int \genfrac {}{}{}{}{\cot (x)}{(a+b \cot ^4(x))^{3/2}} \, dx\) [63]
   \(\int \genfrac {}{}{}{}{\cot (x)}{(a+b \cot ^4(x))^{5/2}} \, dx\) [64]