\(\int \genfrac {}{}{}{}{\sin ^6(x)}{a-a \cos ^2(x)} \, dx\) [1]
   \(\int \genfrac {}{}{}{}{\sin ^5(x)}{a-a \cos ^2(x)} \, dx\) [2]
   \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a-a \cos ^2(x)} \, dx\) [3]
   \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a-a \cos ^2(x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a-a \cos ^2(x)} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{\sin (x)}{a-a \cos ^2(x)} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{\csc (x)}{a-a \cos ^2(x)} \, dx\) [7]
   \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a-a \cos ^2(x)} \, dx\) [8]
   \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a-a \cos ^2(x)} \, dx\) [9]
   \(\int \genfrac {}{}{}{}{\sin ^7(x)}{a+b \cos ^2(x)} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{\sin ^5(x)}{a+b \cos ^2(x)} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a+b \cos ^2(x)} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{\sin (x)}{a+b \cos ^2(x)} \, dx\) [13]
   \(\int \genfrac {}{}{}{}{\csc (x)}{a+b \cos ^2(x)} \, dx\) [14]
   \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a+b \cos ^2(x)} \, dx\) [15]
   \(\int \genfrac {}{}{}{}{\csc ^5(x)}{a+b \cos ^2(x)} \, dx\) [16]
   \(\int \genfrac {}{}{}{}{\sin ^6(x)}{a+b \cos ^2(x)} \, dx\) [17]
   \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a+b \cos ^2(x)} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \cos ^2(x)} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{1}{a+b \cos ^2(x)} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+b \cos ^2(x)} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{\csc ^4(x)}{a+b \cos ^2(x)} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{\csc ^6(x)}{a+b \cos ^2(x)} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{\sin (x)}{4-3 \cos ^3(x)} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{1}{1-\cos ^2(x)} \, dx\) [25]
   \(\int \genfrac {}{}{}{}{1}{(1-\cos ^2(x))^2} \, dx\) [26]
   \(\int \genfrac {}{}{}{}{1}{(1-\cos ^2(x))^3} \, dx\) [27]
   \(\int \genfrac {}{}{}{}{\cos ^7(x)}{a+b \cos ^2(x)} \, dx\) [28]
   \(\int \genfrac {}{}{}{}{\cos ^5(x)}{a+b \cos ^2(x)} \, dx\) [29]
   \(\int \genfrac {}{}{}{}{\cos ^3(x)}{a+b \cos ^2(x)} \, dx\) [30]
   \(\int \genfrac {}{}{}{}{\cos (x)}{a+b \cos ^2(x)} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{\sec (x)}{a+b \cos ^2(x)} \, dx\) [32]
   \(\int \genfrac {}{}{}{}{\sec ^3(x)}{a+b \cos ^2(x)} \, dx\) [33]
   \(\int \genfrac {}{}{}{}{\sec ^5(x)}{a+b \cos ^2(x)} \, dx\) [34]
   \(\int \genfrac {}{}{}{}{\cos ^6(x)}{a+b \cos ^2(x)} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{\cos ^4(x)}{a+b \cos ^2(x)} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{\cos ^2(x)}{a+b \cos ^2(x)} \, dx\) [37]
   \(\int \genfrac {}{}{}{}{1}{a+b \cos ^2(x)} \, dx\) [38]
   \(\int \genfrac {}{}{}{}{\sec ^2(x)}{a+b \cos ^2(x)} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{\sec ^4(x)}{a+b \cos ^2(x)} \, dx\) [40]
   \(\int \genfrac {}{}{}{}{\sec ^6(x)}{a+b \cos ^2(x)} \, dx\) [41]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos ^2(x))^2} \, dx\) [42]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos ^2(x))^3} \, dx\) [43]
   \(\int \genfrac {}{}{}{}{1}{1+\cos ^2(x)} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{1}{(1+\cos ^2(x))^2} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{1}{(1+\cos ^2(x))^3} \, dx\) [46]
   \(\int \sqrt {1-\cos ^2(x)} \, dx\) [47]
   \(\int \sqrt {-1+\cos ^2(x)} \, dx\) [48]
   \(\int (1-\cos ^2(x))^{3/2} \, dx\) [49]
   \(\int (-1+\cos ^2(x))^{3/2} \, dx\) [50]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-\cos ^2(x)}} \, dx\) [51]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\cos ^2(x)}} \, dx\) [52]
   \(\int \genfrac {}{}{}{}{1}{(1-\cos ^2(x))^{3/2}} \, dx\) [53]
   \(\int \genfrac {}{}{}{}{1}{(-1+\cos ^2(x))^{3/2}} \, dx\) [54]
   \(\int \sqrt {1+\cos ^2(x)} \, dx\) [55]
   \(\int \sqrt {-1-\cos ^2(x)} \, dx\) [56]
   \(\int \sqrt {a+b \cos ^2(x)} \, dx\) [57]
   \(\int (1+\cos ^2(x))^{3/2} \, dx\) [58]
   \(\int (-1-\cos ^2(x))^{3/2} \, dx\) [59]
   \(\int (a+b \cos ^2(x))^{3/2} \, dx\) [60]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\cos ^2(x)}} \, dx\) [61]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\cos ^2(x)}} \, dx\) [62]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos ^2(x)}} \, dx\) [63]
   \(\int \genfrac {}{}{}{}{1}{(1+\cos ^2(x))^{3/2}} \, dx\) [64]
   \(\int \genfrac {}{}{}{}{1}{(-1-\cos ^2(x))^{3/2}} \, dx\) [65]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos ^2(x))^{3/2}} \, dx\) [66]
   \(\int \genfrac {}{}{}{}{\cos (x)}{\sqrt {1+\cos ^2(x)}} \, dx\) [67]
   \(\int \genfrac {}{}{}{}{\cos (5+3 x)}{\sqrt {3+\cos ^2(5+3 x)}} \, dx\) [68]
   \(\int \genfrac {}{}{}{}{\cos (x)}{\sqrt {4-\cos ^2(x)}} \, dx\) [69]
   \(\int \genfrac {}{}{}{}{1}{a+b \cos ^4(x)} \, dx\) [70]
   \(\int \genfrac {}{}{}{}{1}{a-b \cos ^4(x)} \, dx\) [71]
   \(\int \genfrac {}{}{}{}{1}{1+\cos ^4(x)} \, dx\) [72]
   \(\int \genfrac {}{}{}{}{1}{1-\cos ^4(x)} \, dx\) [73]
   \(\int \genfrac {}{}{}{}{1}{a+b \cos ^5(x)} \, dx\) [74]
   \(\int \genfrac {}{}{}{}{1}{a+b \cos ^6(x)} \, dx\) [75]
   \(\int \genfrac {}{}{}{}{1}{a+b \cos ^8(x)} \, dx\) [76]
   \(\int \genfrac {}{}{}{}{1}{a-b \cos ^5(x)} \, dx\) [77]
   \(\int \genfrac {}{}{}{}{1}{a-b \cos ^6(x)} \, dx\) [78]
   \(\int \genfrac {}{}{}{}{1}{a-b \cos ^8(x)} \, dx\) [79]
   \(\int \genfrac {}{}{}{}{1}{1+\cos ^5(x)} \, dx\) [80]
   \(\int \genfrac {}{}{}{}{1}{1+\cos ^6(x)} \, dx\) [81]
   \(\int \genfrac {}{}{}{}{1}{1+\cos ^8(x)} \, dx\) [82]
   \(\int \genfrac {}{}{}{}{1}{1-\cos ^5(x)} \, dx\) [83]
   \(\int \genfrac {}{}{}{}{1}{1-\cos ^6(x)} \, dx\) [84]
   \(\int \genfrac {}{}{}{}{1}{1-\cos ^8(x)} \, dx\) [85]
   \(\int \genfrac {}{}{}{}{\tan (x)}{1+\cos ^2(x)} \, dx\) [86]
   \(\int \sqrt {a+b \cos ^2(x)} \tan (x) \, dx\) [87]
   \(\int \sqrt {1-\cos ^2(x)} \tan (x) \, dx\) [88]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cos ^2(x)}} \, dx\) [89]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {1+\cos ^2(x)}} \, dx\) [90]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {1-\cos ^2(x)}} \, dx\) [91]
   \(\int \genfrac {}{}{}{}{\tan ^3(x)}{a+b \cos ^3(x)} \, dx\) [92]
   \(\int \sqrt {a+b \cos ^3(x)} \tan (x) \, dx\) [93]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cos ^3(x)}} \, dx\) [94]
   \(\int \sqrt {a+b \cos ^4(x)} \tan (x) \, dx\) [95]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cos ^4(x)}} \, dx\) [96]
   \(\int \sqrt {a+b \cos ^n(x)} \tan (x) \, dx\) [97]
   \(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+b \cos ^n(x)}} \, dx\) [98]