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]