3.1 Integrals 1 to 100

   \(\int \cos ^7(c+d x) (A+C \cos ^2(c+d x)) \, dx\) [1]
   \(\int \cos ^5(c+d x) (A+C \cos ^2(c+d x)) \, dx\) [2]
   \(\int \cos ^3(c+d x) (A+C \cos ^2(c+d x)) \, dx\) [3]
   \(\int \cos (c+d x) (A+C \cos ^2(c+d x)) \, dx\) [4]
   \(\int (A+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [5]
   \(\int (A+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [6]
   \(\int (A+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [7]
   \(\int (A+C \cos ^2(c+d x)) \sec ^7(c+d x) \, dx\) [8]
   \(\int \cos ^6(c+d x) (A+C \cos ^2(c+d x)) \, dx\) [9]
   \(\int \cos ^4(c+d x) (A+C \cos ^2(c+d x)) \, dx\) [10]
   \(\int \cos ^2(c+d x) (A+C \cos ^2(c+d x)) \, dx\) [11]
   \(\int (A+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [12]
   \(\int (A+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [13]
   \(\int (A+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [14]
   \(\int (A+C \cos ^2(c+d x)) \sec ^8(c+d x) \, dx\) [15]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \, dx\) [16]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \, dx\) [17]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [18]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{7/2}} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{9/2}} \, dx\) [23]
   \(\int \sqrt {\cos (c+d x)} (3-5 \cos ^2(c+d x)) \, dx\) [24]
   \(\int \genfrac {}{}{}{}{1-3 \cos ^2(c+d x)}{\sqrt {\cos (c+d x)}} \, dx\) [25]
   \(\int (A+C \cos ^2(c+d x)) (b \sec (c+d x))^{9/2} \, dx\) [26]
   \(\int (A+C \cos ^2(c+d x)) (b \sec (c+d x))^{7/2} \, dx\) [27]
   \(\int (A+C \cos ^2(c+d x)) (b \sec (c+d x))^{5/2} \, dx\) [28]
   \(\int (A+C \cos ^2(c+d x)) (b \sec (c+d x))^{3/2} \, dx\) [29]
   \(\int (A+C \cos ^2(c+d x)) \sqrt {b \sec (c+d x)} \, dx\) [30]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {b \sec (c+d x)}} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \sec (c+d x))^{3/2}} \, dx\) [32]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \sec (c+d x))^{5/2}} \, dx\) [33]
   \(\int (b \cos (c+d x))^m (A+C \cos ^2(c+d x)) \, dx\) [34]
   \(\int (b \cos (c+d x))^m (-\genfrac {}{}{}{}{C (1+m)}{2+m}+C \cos ^2(c+d x)) \, dx\) [35]
   \(\int (b \cos (c+d x))^m (A-\genfrac {}{}{}{}{A (2+m) \cos ^2(c+d x)}{1+m}) \, dx\) [36]
   \(\int \cos ^2(c+d x) \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [37]
   \(\int \cos (c+d x) \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [38]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [39]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [40]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [41]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [42]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [43]
   \(\int \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [44]
   \(\int \cos (c+d x) (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \, dx\) [45]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \, dx\) [46]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [47]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [48]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [49]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [50]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [51]
   \(\int (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [52]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \, dx\) [53]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec (c+d x) \, dx\) [54]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^2(c+d x) \, dx\) [55]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^3(c+d x) \, dx\) [56]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^4(c+d x) \, dx\) [57]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^5(c+d x) \, dx\) [58]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^6(c+d x) \, dx\) [59]
   \(\int (b \cos (c+d x))^{5/2} (A+C \cos ^2(c+d x)) \sec ^7(c+d x) \, dx\) [60]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) (A+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [61]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [62]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [63]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+C \cos ^2(c+d x))}{\sqrt {b \cos (c+d x)}} \, dx\) [64]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [65]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec (c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [66]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^2(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [67]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^3(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [68]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^4(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [69]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^5(c+d x)}{\sqrt {b \cos (c+d x)}} \, dx\) [70]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [71]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [72]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [73]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\) [74]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [75]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [76]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [77]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^3(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\) [78]
   \(\int \genfrac {}{}{}{}{\cos ^5(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [79]
   \(\int \genfrac {}{}{}{}{\cos ^4(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [80]
   \(\int \genfrac {}{}{}{}{\cos ^3(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [81]
   \(\int \genfrac {}{}{}{}{\cos ^2(c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [82]
   \(\int \genfrac {}{}{}{}{\cos (c+d x) (A+C \cos ^2(c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\) [83]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [84]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [85]
   \(\int \genfrac {}{}{}{}{(A+C \cos ^2(c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\) [86]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{7/2}} \, dx\) [87]
   \(\int \genfrac {}{}{}{}{A+C \cos ^2(c+d x)}{(b \cos (c+d x))^{9/2}} \, dx\) [88]
   \(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [89]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [90]
   \(\int \sqrt {\cos (c+d x)} \sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x)) \, dx\) [91]
   \(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [92]
   \(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [93]
   \(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [94]
   \(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [95]
   \(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [96]
   \(\int \genfrac {}{}{}{}{\sqrt {b \cos (c+d x)} (A+C \cos ^2(c+d x))}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [97]
   \(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \, dx\) [98]
   \(\int \sqrt {\cos (c+d x)} (b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x)) \, dx\) [99]
   \(\int \genfrac {}{}{}{}{(b \cos (c+d x))^{3/2} (A+C \cos ^2(c+d x))}{\sqrt {\cos (c+d x)}} \, dx\) [100]