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