3.1 Integrals 1 to 62

  3.1.1 \(\int (a+a \cos (c+d x))^{7/2} \, dx\) [1]
  3.1.2 \(\int (a+a \cos (c+d x))^{5/2} \, dx\) [2]
  3.1.3 \(\int (a+a \cos (c+d x))^{3/2} \, dx\) [3]
  3.1.4 \(\int \sqrt {a+a \cos (c+d x)} \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+a \cos (c+d x)}} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{3/2}} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{5/2}} \, dx\) [7]
  3.1.8 \(\int (a+a \cos (c+d x))^{4/3} \, dx\) [8]
  3.1.9 \(\int (a+a \cos (c+d x))^{2/3} \, dx\) [9]
  3.1.10 \(\int \sqrt [3]{a+a \cos (c+d x)} \, dx\) [10]
  3.1.11 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+a \cos (c+d x)}} \, dx\) [11]
  3.1.12 \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{2/3}} \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{1}{(a+a \cos (c+d x))^{4/3}} \, dx\) [13]
  3.1.14 \(\int (a+a \cos (c+d x))^n \, dx\) [14]
  3.1.15 \(\int (a-a \cos (c+d x))^n \, dx\) [15]
  3.1.16 \(\int (2+2 \cos (c+d x))^n \, dx\) [16]
  3.1.17 \(\int (2-2 \cos (c+d x))^n \, dx\) [17]
  3.1.18 \(\int \genfrac {}{}{}{}{1}{5+3 \cos (c+d x)} \, dx\) [18]
  3.1.19 \(\int \genfrac {}{}{}{}{1}{(5+3 \cos (c+d x))^2} \, dx\) [19]
  3.1.20 \(\int \genfrac {}{}{}{}{1}{(5+3 \cos (c+d x))^3} \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{1}{(5+3 \cos (c+d x))^4} \, dx\) [21]
  3.1.22 \(\int \genfrac {}{}{}{}{1}{5-3 \cos (c+d x)} \, dx\) [22]
  3.1.23 \(\int \genfrac {}{}{}{}{1}{(5-3 \cos (c+d x))^2} \, dx\) [23]
  3.1.24 \(\int \genfrac {}{}{}{}{1}{(5-3 \cos (c+d x))^3} \, dx\) [24]
  3.1.25 \(\int \genfrac {}{}{}{}{1}{(5-3 \cos (c+d x))^4} \, dx\) [25]
  3.1.26 \(\int \genfrac {}{}{}{}{1}{-5+3 \cos (c+d x)} \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{1}{(-5+3 \cos (c+d x))^2} \, dx\) [27]
  3.1.28 \(\int \genfrac {}{}{}{}{1}{(-5+3 \cos (c+d x))^3} \, dx\) [28]
  3.1.29 \(\int \genfrac {}{}{}{}{1}{(-5+3 \cos (c+d x))^4} \, dx\) [29]
  3.1.30 \(\int \genfrac {}{}{}{}{1}{-5-3 \cos (c+d x)} \, dx\) [30]
  3.1.31 \(\int \genfrac {}{}{}{}{1}{(-5-3 \cos (c+d x))^2} \, dx\) [31]
  3.1.32 \(\int \genfrac {}{}{}{}{1}{(-5-3 \cos (c+d x))^3} \, dx\) [32]
  3.1.33 \(\int \genfrac {}{}{}{}{1}{(-5-3 \cos (c+d x))^4} \, dx\) [33]
  3.1.34 \(\int \genfrac {}{}{}{}{1}{3+5 \cos (c+d x)} \, dx\) [34]
  3.1.35 \(\int \genfrac {}{}{}{}{1}{(3+5 \cos (c+d x))^2} \, dx\) [35]
  3.1.36 \(\int \genfrac {}{}{}{}{1}{(3+5 \cos (c+d x))^3} \, dx\) [36]
  3.1.37 \(\int \genfrac {}{}{}{}{1}{(3+5 \cos (c+d x))^4} \, dx\) [37]
  3.1.38 \(\int \genfrac {}{}{}{}{1}{3-5 \cos (c+d x)} \, dx\) [38]
  3.1.39 \(\int \genfrac {}{}{}{}{1}{(3-5 \cos (c+d x))^2} \, dx\) [39]
  3.1.40 \(\int \genfrac {}{}{}{}{1}{(3-5 \cos (c+d x))^3} \, dx\) [40]
  3.1.41 \(\int \genfrac {}{}{}{}{1}{(3-5 \cos (c+d x))^4} \, dx\) [41]
  3.1.42 \(\int \genfrac {}{}{}{}{1}{-3+5 \cos (c+d x)} \, dx\) [42]
  3.1.43 \(\int \genfrac {}{}{}{}{1}{(-3+5 \cos (c+d x))^2} \, dx\) [43]
  3.1.44 \(\int \genfrac {}{}{}{}{1}{(-3+5 \cos (c+d x))^3} \, dx\) [44]
  3.1.45 \(\int \genfrac {}{}{}{}{1}{(-3+5 \cos (c+d x))^4} \, dx\) [45]
  3.1.46 \(\int \genfrac {}{}{}{}{1}{-3-5 \cos (c+d x)} \, dx\) [46]
  3.1.47 \(\int \genfrac {}{}{}{}{1}{(-3-5 \cos (c+d x))^2} \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{1}{(-3-5 \cos (c+d x))^3} \, dx\) [48]
  3.1.49 \(\int \genfrac {}{}{}{}{1}{(-3-5 \cos (c+d x))^4} \, dx\) [49]
  3.1.50 \(\int (a+b \cos (c+d x))^{5/2} \, dx\) [50]
  3.1.51 \(\int (a+b \cos (c+d x))^{3/2} \, dx\) [51]
  3.1.52 \(\int \sqrt {a+b \cos (c+d x)} \, dx\) [52]
  3.1.53 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cos (c+d x)}} \, dx\) [53]
  3.1.54 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{3/2}} \, dx\) [54]
  3.1.55 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{5/2}} \, dx\) [55]
  3.1.56 \(\int (a+b \cos (c+d x))^{4/3} \, dx\) [56]
  3.1.57 \(\int (a+b \cos (c+d x))^{2/3} \, dx\) [57]
  3.1.58 \(\int \sqrt [3]{a+b \cos (c+d x)} \, dx\) [58]
  3.1.59 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b \cos (c+d x)}} \, dx\) [59]
  3.1.60 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{2/3}} \, dx\) [60]
  3.1.61 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^{4/3}} \, dx\) [61]
  3.1.62 \(\int (a+b \cos (c+d x))^n \, dx\) [62]