3.1 Integrals 1 to 62

\(\int (a+a \cos (c+d x))^{7/2} \, dx\) [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]