3.1 Integrals 1 to 91

   \(\int \genfrac {}{}{}{}{\sin ^4(x)}{i+\tan (x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{\sin ^3(x)}{i+\tan (x)} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{\sin ^2(x)}{i+\tan (x)} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{\sin (x)}{i+\tan (x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{\csc (x)}{i+\tan (x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{\csc ^2(x)}{i+\tan (x)} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{\csc ^3(x)}{i+\tan (x)} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{\csc ^4(x)}{i+\tan (x)} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{\csc ^5(x)}{i+\tan (x)} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{\csc ^6(x)}{i+\tan (x)} \, dx\) [10]
   \(\int \sin ^5(c+d x) (a+b \tan (c+d x)) \, dx\) [11]
   \(\int \sin ^4(c+d x) (a+b \tan (c+d x)) \, dx\) [12]
   \(\int \sin ^3(c+d x) (a+b \tan (c+d x)) \, dx\) [13]
   \(\int \sin ^2(c+d x) (a+b \tan (c+d x)) \, dx\) [14]
   \(\int \sin (c+d x) (a+b \tan (c+d x)) \, dx\) [15]
   \(\int \csc (c+d x) (a+b \tan (c+d x)) \, dx\) [16]
   \(\int \csc ^2(c+d x) (a+b \tan (c+d x)) \, dx\) [17]
   \(\int \csc ^3(c+d x) (a+b \tan (c+d x)) \, dx\) [18]
   \(\int \csc ^4(c+d x) (a+b \tan (c+d x)) \, dx\) [19]
   \(\int \csc ^5(c+d x) (a+b \tan (c+d x)) \, dx\) [20]
   \(\int \csc ^6(c+d x) (a+b \tan (c+d x)) \, dx\) [21]
   \(\int \sin ^4(c+d x) (a+b \tan (c+d x))^2 \, dx\) [22]
   \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^2 \, dx\) [23]
   \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^2 \, dx\) [24]
   \(\int \sin (c+d x) (a+b \tan (c+d x))^2 \, dx\) [25]
   \(\int \csc (c+d x) (a+b \tan (c+d x))^2 \, dx\) [26]
   \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^2 \, dx\) [27]
   \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^2 \, dx\) [28]
   \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^2 \, dx\) [29]
   \(\int \csc ^5(c+d x) (a+b \tan (c+d x))^2 \, dx\) [30]
   \(\int \csc ^6(c+d x) (a+b \tan (c+d x))^2 \, dx\) [31]
   \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^3 \, dx\) [32]
   \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^3 \, dx\) [33]
   \(\int \sin (c+d x) (a+b \tan (c+d x))^3 \, dx\) [34]
   \(\int \csc (c+d x) (a+b \tan (c+d x))^3 \, dx\) [35]
   \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^3 \, dx\) [36]
   \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^3 \, dx\) [37]
   \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^3 \, dx\) [38]
   \(\int \csc ^5(c+d x) (a+b \tan (c+d x))^3 \, dx\) [39]
   \(\int \csc ^6(c+d x) (a+b \tan (c+d x))^3 \, dx\) [40]
   \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^4 \, dx\) [41]
   \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^4 \, dx\) [42]
   \(\int \sin (c+d x) (a+b \tan (c+d x))^4 \, dx\) [43]
   \(\int \csc (c+d x) (a+b \tan (c+d x))^4 \, dx\) [44]
   \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^4 \, dx\) [45]
   \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^4 \, dx\) [46]
   \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^4 \, dx\) [47]
   \(\int \csc ^5(c+d x) (a+b \tan (c+d x))^4 \, dx\) [48]
   \(\int \csc ^6(c+d x) (a+b \tan (c+d x))^4 \, dx\) [49]
   \(\int \csc ^7(c+d x) (a+b \tan (c+d x))^4 \, dx\) [50]
   \(\int \genfrac {}{}{}{}{\sin ^5(c+d x)}{a+b \tan (c+d x)} \, dx\) [51]
   \(\int \genfrac {}{}{}{}{\sin ^4(c+d x)}{a+b \tan (c+d x)} \, dx\) [52]
   \(\int \genfrac {}{}{}{}{\sin ^3(c+d x)}{a+b \tan (c+d x)} \, dx\) [53]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x)}{a+b \tan (c+d x)} \, dx\) [54]
   \(\int \genfrac {}{}{}{}{\sin (c+d x)}{a+b \tan (c+d x)} \, dx\) [55]
   \(\int \genfrac {}{}{}{}{\csc (c+d x)}{a+b \tan (c+d x)} \, dx\) [56]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x)}{a+b \tan (c+d x)} \, dx\) [57]
   \(\int \genfrac {}{}{}{}{\csc ^3(c+d x)}{a+b \tan (c+d x)} \, dx\) [58]
   \(\int \genfrac {}{}{}{}{\csc ^4(c+d x)}{a+b \tan (c+d x)} \, dx\) [59]
   \(\int \genfrac {}{}{}{}{\csc ^6(c+d x)}{a+b \tan (c+d x)} \, dx\) [60]
   \(\int \genfrac {}{}{}{}{\sin ^6(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [61]
   \(\int \genfrac {}{}{}{}{\sin ^4(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [62]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [63]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [64]
   \(\int \genfrac {}{}{}{}{\csc ^4(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [65]
   \(\int \genfrac {}{}{}{}{\csc ^6(c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [66]
   \(\int \genfrac {}{}{}{}{\sin ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [67]
   \(\int \genfrac {}{}{}{}{\sin ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [68]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [69]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [70]
   \(\int \genfrac {}{}{}{}{\csc ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [71]
   \(\int \genfrac {}{}{}{}{\csc ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx\) [72]
   \(\int \genfrac {}{}{}{}{\sin ^4(c+d x)}{(a+b \tan (c+d x))^4} \, dx\) [73]
   \(\int \genfrac {}{}{}{}{\sin ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx\) [74]
   \(\int \genfrac {}{}{}{}{\csc ^2(c+d x)}{(a+b \tan (c+d x))^4} \, dx\) [75]
   \(\int \genfrac {}{}{}{}{\csc ^4(c+d x)}{(a+b \tan (c+d x))^4} \, dx\) [76]
   \(\int \genfrac {}{}{}{}{\csc ^6(c+d x)}{(a+b \tan (c+d x))^4} \, dx\) [77]
   \(\int \genfrac {}{}{}{}{\csc (x)}{1+\tan (x)} \, dx\) [78]
   \(\int \sin ^m(c+d x) (a+b \tan (c+d x))^3 \, dx\) [79]
   \(\int \sin ^m(c+d x) (a+b \tan (c+d x))^2 \, dx\) [80]
   \(\int \sin ^m(c+d x) (a+b \tan (c+d x)) \, dx\) [81]
   \(\int \genfrac {}{}{}{}{\sin ^m(c+d x)}{a+b \tan (c+d x)} \, dx\) [82]
   \(\int \sin ^m(c+d x) (a+b \tan (c+d x))^n \, dx\) [83]
   \(\int \sin ^4(c+d x) (a+b \tan (c+d x))^n \, dx\) [84]
   \(\int \sin ^2(c+d x) (a+b \tan (c+d x))^n \, dx\) [85]
   \(\int \csc ^2(c+d x) (a+b \tan (c+d x))^n \, dx\) [86]
   \(\int \csc ^4(c+d x) (a+b \tan (c+d x))^n \, dx\) [87]
   \(\int \sin ^3(c+d x) (a+b \tan (c+d x))^n \, dx\) [88]
   \(\int \sin (c+d x) (a+b \tan (c+d x))^n \, dx\) [89]
   \(\int \csc (c+d x) (a+b \tan (c+d x))^n \, dx\) [90]
   \(\int \csc ^3(c+d x) (a+b \tan (c+d x))^n \, dx\) [91]