3.1.1 \(\int \genfrac {}{}{}{}{\csc ^5(x)}{a+a \csc (x)} \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{\csc ^4(x)}{a+a \csc (x)} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a+a \csc (x)} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+a \csc (x)} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{\csc (x)}{a+a \csc (x)} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{1}{a+a \csc (c+d x)} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{\sin (x)}{a+a \csc (x)} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+a \csc (x)} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a+a \csc (x)} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a+a \csc (x)} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{1}{(a+a \csc (c+d x))^2} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{1}{(a+a \csc (c+d x))^3} \, dx\) [12]
3.1.13 \(\int (a+a \csc (x))^{5/2} \, dx\) [13]
3.1.14 \(\int (a+a \csc (x))^{3/2} \, dx\) [14]
3.1.15 \(\int \sqrt {a+a \csc (x)} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+a \csc (x)}} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{1}{(a+a \csc (x))^{3/2}} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{1}{(a+a \csc (x))^{5/2}} \, dx\) [18]
3.1.19 \(\int \sqrt {\csc (e+f x)} \sqrt {a+a \csc (e+f x)} \, dx\) [19]
3.1.20 \(\int \sqrt {-\csc (e+f x)} \sqrt {a-a \csc (e+f x)} \, dx\) [20]
3.1.21 \(\int \csc ^{\genfrac {}{}{}{}{4}{3}}(c+d x) \sqrt {a+a \csc (c+d x)} \, dx\) [21]
3.1.22 \(\int \sqrt [3]{\csc (c+d x)} \sqrt {a+a \csc (c+d x)} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{\sqrt {a+a \csc (c+d x)}}{\csc ^{\genfrac {}{}{}{}{2}{3}}(c+d x)} \, dx\) [23]
3.1.24 \(\int \csc ^{\genfrac {}{}{}{}{5}{3}}(c+d x) \sqrt {a+a \csc (c+d x)} \, dx\) [24]
3.1.25 \(\int \csc ^{\genfrac {}{}{}{}{2}{3}}(c+d x) \sqrt {a+a \csc (c+d x)} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{\sqrt {a+a \csc (c+d x)}}{\sqrt [3]{\csc (c+d x)}} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{\sqrt {a+a \csc (c+d x)}}{\csc ^{\genfrac {}{}{}{}{4}{3}}(c+d x)} \, dx\) [27]
3.1.28 \(\int \csc ^n(c+d x) \sqrt {a+a \csc (c+d x)} \, dx\) [28]
3.1.29 \(\int \csc ^n(c+d x) \sqrt {a-a \csc (c+d x)} \, dx\) [29]
3.1.30 \(\int \csc ^3(e+f x) (a+a \csc (e+f x))^m \, dx\) [30]
3.1.31 \(\int \csc ^2(e+f x) (a+a \csc (e+f x))^m \, dx\) [31]
3.1.32 \(\int \csc (e+f x) (a+a \csc (e+f x))^m \, dx\) [32]
3.1.33 \(\int (a+a \csc (e+f x))^m \, dx\) [33]
3.1.34 \(\int (a+a \csc (e+f x))^m \sin (e+f x) \, dx\) [34]
3.1.35 \(\int (a+a \csc (e+f x))^m \sin ^2(e+f x) \, dx\) [35]
3.1.36 \(\int (a+b \csc (c+d x))^4 \, dx\) [36]
3.1.37 \(\int (a+b \csc (c+d x))^3 \, dx\) [37]
3.1.38 \(\int (a+b \csc (c+d x))^2 \, dx\) [38]
3.1.39 \(\int \genfrac {}{}{}{}{\csc ^5(x)}{a+b \csc (x)} \, dx\) [39]
3.1.40 \(\int \genfrac {}{}{}{}{\csc ^4(x)}{a+b \csc (x)} \, dx\) [40]
3.1.41 \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a+b \csc (x)} \, dx\) [41]
3.1.42 \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+b \csc (x)} \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{\csc (x)}{a+b \csc (x)} \, dx\) [43]
3.1.44 \(\int \genfrac {}{}{}{}{1}{a+b \csc (c+d x)} \, dx\) [44]
3.1.45 \(\int \genfrac {}{}{}{}{\sin (x)}{a+b \csc (x)} \, dx\) [45]
3.1.46 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \csc (x)} \, dx\) [46]
3.1.47 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a+b \csc (x)} \, dx\) [47]
3.1.48 \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a+b \csc (x)} \, dx\) [48]
3.1.49 \(\int \genfrac {}{}{}{}{1}{(a+b \csc (c+d x))^2} \, dx\) [49]
3.1.50 \(\int \genfrac {}{}{}{}{1}{(a+b \csc (c+d x))^3} \, dx\) [50]
3.1.51 \(\int \genfrac {}{}{}{}{1}{(a+b \csc (c+d x))^4} \, dx\) [51]
3.1.52 \(\int \genfrac {}{}{}{}{1}{3+5 \csc (c+d x)} \, dx\) [52]
3.1.53 \(\int \genfrac {}{}{}{}{1}{5+3 \csc (c+d x)} \, dx\) [53]
3.1.54 \(\int \csc ^3(e+f x) (a+b \csc (e+f x))^m \, dx\) [54]
3.1.55 \(\int \csc ^2(e+f x) (a+b \csc (e+f x))^m \, dx\) [55]
3.1.56 \(\int \csc (e+f x) (a+b \csc (e+f x))^m \, dx\) [56]
3.1.57 \(\int (a+b \csc (e+f x))^m \, dx\) [57]
3.1.58 \(\int (a+b \csc (e+f x))^m \sin (e+f x) \, dx\) [58]
3.1.59 \(\int (a+b \csc (e+f x))^m \sin ^2(e+f x) \, dx\) [59]