3.1 Integrals 1 to 85

3.1.1 \(\int \genfrac {}{}{}{}{\sinh ^4(x)}{a-a \cosh ^2(x)} \, dx\) [1]
3.1.2 \(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a-a \cosh ^2(x)} \, dx\) [2]
3.1.3 \(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a-a \cosh ^2(x)} \, dx\) [3]
3.1.4 \(\int \genfrac {}{}{}{}{\text {csch}^2(x)}{a-a \cosh ^2(x)} \, dx\) [4]
3.1.5 \(\int \genfrac {}{}{}{}{\text {csch}^4(x)}{a-a \cosh ^2(x)} \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{\sinh ^7(x)}{a+b \cosh ^2(x)} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{\sinh ^5(x)}{a+b \cosh ^2(x)} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a+b \cosh ^2(x)} \, dx\) [8]
3.1.9 \(\int \genfrac {}{}{}{}{\sinh (x)}{a+b \cosh ^2(x)} \, dx\) [9]
3.1.10 \(\int \genfrac {}{}{}{}{\text {csch}(x)}{a+b \cosh ^2(x)} \, dx\) [10]
3.1.11 \(\int \genfrac {}{}{}{}{\text {csch}^3(x)}{a+b \cosh ^2(x)} \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{\text {csch}^5(x)}{a+b \cosh ^2(x)} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{\sinh ^6(x)}{a+b \cosh ^2(x)} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{\sinh ^4(x)}{a+b \cosh ^2(x)} \, dx\) [14]
3.1.15 \(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a+b \cosh ^2(x)} \, dx\) [15]
3.1.16 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^2(x)} \, dx\) [16]
3.1.17 \(\int \genfrac {}{}{}{}{\text {csch}^4(x)}{a+b \cosh ^2(x)} \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{\text {csch}^6(x)}{a+b \cosh ^2(x)} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{\sinh (x)}{4-3 \cosh ^3(x)} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{\cosh ^7(x)}{a+b \cosh ^2(x)} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{\cosh ^6(x)}{a+b \cosh ^2(x)} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{\cosh ^5(x)}{a+b \cosh ^2(x)} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{\cosh ^4(x)}{a+b \cosh ^2(x)} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{\cosh ^3(x)}{a+b \cosh ^2(x)} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a+b \cosh ^2(x)} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{\cosh (x)}{a+b \cosh ^2(x)} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^2(x)} \, dx\) [27]
3.1.28 \(\int \genfrac {}{}{}{}{\text {sech}(x)}{a+b \cosh ^2(x)} \, dx\) [28]
3.1.29 \(\int \genfrac {}{}{}{}{\text {sech}^2(x)}{a+b \cosh ^2(x)} \, dx\) [29]
3.1.30 \(\int \genfrac {}{}{}{}{\text {sech}^3(x)}{a+b \cosh ^2(x)} \, dx\) [30]
3.1.31 \(\int \genfrac {}{}{}{}{\text {sech}^4(x)}{a+b \cosh ^2(x)} \, dx\) [31]
3.1.32 \(\int \genfrac {}{}{}{}{\text {sech}^5(x)}{a+b \cosh ^2(x)} \, dx\) [32]
3.1.33 \(\int \genfrac {}{}{}{}{1}{(a+b \cosh ^2(x))^2} \, dx\) [33]
3.1.34 \(\int \genfrac {}{}{}{}{1}{(a+b \cosh ^2(x))^3} \, dx\) [34]
3.1.35 \(\int \genfrac {}{}{}{}{1}{1+\cosh ^2(x)} \, dx\) [35]
3.1.36 \(\int \genfrac {}{}{}{}{1}{(1+\cosh ^2(x))^2} \, dx\) [36]
3.1.37 \(\int \genfrac {}{}{}{}{1}{(1+\cosh ^2(x))^3} \, dx\) [37]
3.1.38 \(\int \genfrac {}{}{}{}{1}{1-\cosh ^2(x)} \, dx\) [38]
3.1.39 \(\int \genfrac {}{}{}{}{1}{(1-\cosh ^2(x))^2} \, dx\) [39]
3.1.40 \(\int \genfrac {}{}{}{}{1}{(1-\cosh ^2(x))^3} \, dx\) [40]
3.1.41 \(\int \sqrt {a+b \cosh ^2(x)} \, dx\) [41]
3.1.42 \(\int \sqrt {1+\cosh ^2(x)} \, dx\) [42]
3.1.43 \(\int \sqrt {1-\cosh ^2(x)} \, dx\) [43]
3.1.44 \(\int \sqrt {-1+\cosh ^2(x)} \, dx\) [44]
3.1.45 \(\int \sqrt {-1-\cosh ^2(x)} \, dx\) [45]
3.1.46 \(\int (a+b \cosh ^2(x))^{3/2} \, dx\) [46]
3.1.47 \(\int (1+\cosh ^2(x))^{3/2} \, dx\) [47]
3.1.48 \(\int (1-\cosh ^2(x))^{3/2} \, dx\) [48]
3.1.49 \(\int (-1+\cosh ^2(x))^{3/2} \, dx\) [49]
3.1.50 \(\int (-1-\cosh ^2(x))^{3/2} \, dx\) [50]
3.1.51 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cosh ^2(x)}} \, dx\) [51]
3.1.52 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\cosh ^2(x)}} \, dx\) [52]
3.1.53 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-\cosh ^2(x)}} \, dx\) [53]
3.1.54 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\cosh ^2(x)}} \, dx\) [54]
3.1.55 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\cosh ^2(x)}} \, dx\) [55]
3.1.56 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^3(x)} \, dx\) [56]
3.1.57 \(\int \genfrac {}{}{}{}{1}{a-b \cosh ^3(x)} \, dx\) [57]
3.1.58 \(\int \genfrac {}{}{}{}{1}{1+\cosh ^3(x)} \, dx\) [58]
3.1.59 \(\int \genfrac {}{}{}{}{1}{1-\cosh ^3(x)} \, dx\) [59]
3.1.60 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^4(x)} \, dx\) [60]
3.1.61 \(\int \genfrac {}{}{}{}{1}{a-b \cosh ^4(x)} \, dx\) [61]
3.1.62 \(\int \genfrac {}{}{}{}{1}{1+\cosh ^4(x)} \, dx\) [62]
3.1.63 \(\int \genfrac {}{}{}{}{1}{1-\cosh ^4(x)} \, dx\) [63]
3.1.64 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^5(x)} \, dx\) [64]
3.1.65 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^6(x)} \, dx\) [65]
3.1.66 \(\int \genfrac {}{}{}{}{1}{a+b \cosh ^8(x)} \, dx\) [66]
3.1.67 \(\int \genfrac {}{}{}{}{1}{a-b \cosh ^5(x)} \, dx\) [67]
3.1.68 \(\int \genfrac {}{}{}{}{1}{a-b \cosh ^6(x)} \, dx\) [68]
3.1.69 \(\int \genfrac {}{}{}{}{1}{a-b \cosh ^8(x)} \, dx\) [69]
3.1.70 \(\int \genfrac {}{}{}{}{1}{1+\cosh ^5(x)} \, dx\) [70]
3.1.71 \(\int \genfrac {}{}{}{}{1}{1+\cosh ^6(x)} \, dx\) [71]
3.1.72 \(\int \genfrac {}{}{}{}{1}{1+\cosh ^8(x)} \, dx\) [72]
3.1.73 \(\int \genfrac {}{}{}{}{1}{1-\cosh ^5(x)} \, dx\) [73]
3.1.74 \(\int \genfrac {}{}{}{}{1}{1-\cosh ^6(x)} \, dx\) [74]
3.1.75 \(\int \genfrac {}{}{}{}{1}{1-\cosh ^8(x)} \, dx\) [75]
3.1.76 \(\int \genfrac {}{}{}{}{\tanh (x)}{1+\cosh ^2(x)} \, dx\) [76]
3.1.77 \(\int \sqrt {a+b \cosh ^2(x)} \tanh (x) \, dx\) [77]
3.1.78 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \cosh ^2(x)}} \, dx\) [78]
3.1.79 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {1+\cosh ^2(x)}} \, dx\) [79]
3.1.80 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {1-\cosh ^2(x)}} \, dx\) [80]
3.1.81 \(\int \genfrac {}{}{}{}{\tanh ^3(x)}{a+b \cosh ^3(x)} \, dx\) [81]
3.1.82 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \cosh ^3(x)}} \, dx\) [82]
3.1.83 \(\int \sqrt {a+b \cosh ^3(x)} \tanh (x) \, dx\) [83]
3.1.84 \(\int \genfrac {}{}{}{}{\tanh (x)}{\sqrt {a+b \cosh ^n(x)}} \, dx\) [84]
3.1.85 \(\int \sqrt {a+b \cosh ^n(x)} \tanh (x) \, dx\) [85]