3.1 Integrals 1 to 59

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