\(\int (a+a \cos (c+d x))^{7/2} \, dx\) [1]
   \(\int (a+a \cos (c+d x))^{5/2} \, dx\) [2]
   \(\int (a+a \cos (c+d x))^{3/2} \, dx\) [3]
   \(\int \sqrt {a+a \cos (c+d x)} \, dx\) [4]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+a \cos (c+d x)}} \, dx\) [5]
   \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{3/2}} \, dx\) [6]
   \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{5/2}} \, dx\) [7]
   \(\int (a+a \cos (c+d x))^{4/3} \, dx\) [8]
   \(\int (a+a \cos (c+d x))^{2/3} \, dx\) [9]
   \(\int \sqrt [3]{a+a \cos (c+d x)} \, dx\) [10]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+a \cos (c+d x)}} \, dx\) [11]
   \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{2/3}} \, dx\) [12]
   \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{4/3}} \, dx\) [13]
   \(\int (a+a \cos (c+d x))^n \, dx\) [14]
   \(\int (a-a \cos (c+d x))^n \, dx\) [15]
   \(\int (2+2 \cos (c+d x))^n \, dx\) [16]
   \(\int (2-2 \cos (c+d x))^n \, dx\) [17]
   \(\int \genfrac {}{}{}{}{1}{5+3 \cos (c+d x)} \, dx\) [18]
   \(\int \genfrac {}{}{}{}{1}{(5+3 \cos (c+d x))^2} \, dx\) [19]
   \(\int \genfrac {}{}{}{}{1}{(5+3 \cos (c+d x))^3} \, dx\) [20]
   \(\int \genfrac {}{}{}{}{1}{(5+3 \cos (c+d x))^4} \, dx\) [21]
   \(\int \genfrac {}{}{}{}{1}{5-3 \cos (c+d x)} \, dx\) [22]
   \(\int \genfrac {}{}{}{}{1}{(5-3 \cos (c+d x))^2} \, dx\) [23]
   \(\int \genfrac {}{}{}{}{1}{(5-3 \cos (c+d x))^3} \, dx\) [24]
   \(\int \genfrac {}{}{}{}{1}{(5-3 \cos (c+d x))^4} \, dx\) [25]
   \(\int \genfrac {}{}{}{}{1}{-5+3 \cos (c+d x)} \, dx\) [26]
   \(\int \genfrac {}{}{}{}{1}{(-5+3 \cos (c+d x))^2} \, dx\) [27]
   \(\int \genfrac {}{}{}{}{1}{(-5+3 \cos (c+d x))^3} \, dx\) [28]
   \(\int \genfrac {}{}{}{}{1}{(-5+3 \cos (c+d x))^4} \, dx\) [29]
   \(\int \genfrac {}{}{}{}{1}{-5-3 \cos (c+d x)} \, dx\) [30]
   \(\int \genfrac {}{}{}{}{1}{(-5-3 \cos (c+d x))^2} \, dx\) [31]
   \(\int \genfrac {}{}{}{}{1}{(-5-3 \cos (c+d x))^3} \, dx\) [32]
   \(\int \genfrac {}{}{}{}{1}{(-5-3 \cos (c+d x))^4} \, dx\) [33]
   \(\int \genfrac {}{}{}{}{1}{3+5 \cos (c+d x)} \, dx\) [34]
   \(\int \genfrac {}{}{}{}{1}{(3+5 \cos (c+d x))^2} \, dx\) [35]
   \(\int \genfrac {}{}{}{}{1}{(3+5 \cos (c+d x))^3} \, dx\) [36]
   \(\int \genfrac {}{}{}{}{1}{(3+5 \cos (c+d x))^4} \, dx\) [37]
   \(\int \genfrac {}{}{}{}{1}{3-5 \cos (c+d x)} \, dx\) [38]
   \(\int \genfrac {}{}{}{}{1}{(3-5 \cos (c+d x))^2} \, dx\) [39]
   \(\int \genfrac {}{}{}{}{1}{(3-5 \cos (c+d x))^3} \, dx\) [40]
   \(\int \genfrac {}{}{}{}{1}{(3-5 \cos (c+d x))^4} \, dx\) [41]
   \(\int \genfrac {}{}{}{}{1}{-3+5 \cos (c+d x)} \, dx\) [42]
   \(\int \genfrac {}{}{}{}{1}{(-3+5 \cos (c+d x))^2} \, dx\) [43]
   \(\int \genfrac {}{}{}{}{1}{(-3+5 \cos (c+d x))^3} \, dx\) [44]
   \(\int \genfrac {}{}{}{}{1}{(-3+5 \cos (c+d x))^4} \, dx\) [45]
   \(\int \genfrac {}{}{}{}{1}{-3-5 \cos (c+d x)} \, dx\) [46]
   \(\int \genfrac {}{}{}{}{1}{(-3-5 \cos (c+d x))^2} \, dx\) [47]
   \(\int \genfrac {}{}{}{}{1}{(-3-5 \cos (c+d x))^3} \, dx\) [48]
   \(\int \genfrac {}{}{}{}{1}{(-3-5 \cos (c+d x))^4} \, dx\) [49]
   \(\int (a+b \cos (c+d x))^{5/2} \, dx\) [50]
   \(\int (a+b \cos (c+d x))^{3/2} \, dx\) [51]
   \(\int \sqrt {a+b \cos (c+d x)} \, dx\) [52]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (c+d x)}} \, dx\) [53]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{3/2}} \, dx\) [54]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{5/2}} \, dx\) [55]
   \(\int (a+b \cos (c+d x))^{4/3} \, dx\) [56]
   \(\int (a+b \cos (c+d x))^{2/3} \, dx\) [57]
   \(\int \sqrt [3]{a+b \cos (c+d x)} \, dx\) [58]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b \cos (c+d x)}} \, dx\) [59]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{2/3}} \, dx\) [60]
   \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{4/3}} \, dx\) [61]
   \(\int (a+b \cos (c+d x))^n \, dx\) [62]