3.9.1 \(\int \genfrac {}{}{}{}{b^2-c^2+a b \cosh (x)+a c \sinh (x)}{(a+b \cosh (x)+c \sinh (x))^2} \, dx\) [801]
  3.9.2 \(\int \genfrac {}{}{}{}{A+C \sinh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx\) [802]
  3.9.3 \(\int \genfrac {}{}{}{}{A+B \cosh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx\) [803]
  3.9.4 \(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)+b \sinh (x)} \, dx\) [804]
  3.9.5 \(\int \genfrac {}{}{}{}{A+C \sinh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx\) [805]
  3.9.6 \(\int \genfrac {}{}{}{}{A+B \cosh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx\) [806]
  3.9.7 \(\int \genfrac {}{}{}{}{A+B \cosh (x)+C \sinh (x)}{a+b \cosh (x)-b \sinh (x)} \, dx\) [807]
  3.9.8 \(\int \genfrac {}{}{}{}{1}{\cosh ^2(x)+\sinh ^2(x)} \, dx\) [808]
  3.9.9 \(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)+\sinh ^2(x))^2} \, dx\) [809]
  3.9.10 \(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)+\sinh ^2(x))^3} \, dx\) [810]
  3.9.11 \(\int \genfrac {}{}{}{}{1}{\cosh ^2(x)-\sinh ^2(x)} \, dx\) [811]
  3.9.12 \(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)-\sinh ^2(x))^2} \, dx\) [812]
  3.9.13 \(\int \genfrac {}{}{}{}{1}{(\cosh ^2(x)-\sinh ^2(x))^3} \, dx\) [813]
  3.9.14 \(\int \genfrac {}{}{}{}{1}{\text {sech}^2(x)+\tanh ^2(x)} \, dx\) [814]
  3.9.15 \(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)+\tanh ^2(x))^2} \, dx\) [815]
  3.9.16 \(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)+\tanh ^2(x))^3} \, dx\) [816]
  3.9.17 \(\int \genfrac {}{}{}{}{1}{\text {sech}^2(x)-\tanh ^2(x)} \, dx\) [817]
  3.9.18 \(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)-\tanh ^2(x))^2} \, dx\) [818]
  3.9.19 \(\int \genfrac {}{}{}{}{1}{(\text {sech}^2(x)-\tanh ^2(x))^3} \, dx\) [819]
  3.9.20 \(\int \genfrac {}{}{}{}{1}{\coth ^2(x)+\text {csch}^2(x)} \, dx\) [820]
  3.9.21 \(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)+\text {csch}^2(x))^2} \, dx\) [821]
  3.9.22 \(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)+\text {csch}^2(x))^3} \, dx\) [822]
  3.9.23 \(\int \genfrac {}{}{}{}{1}{\coth ^2(x)-\text {csch}^2(x)} \, dx\) [823]
  3.9.24 \(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)-\text {csch}^2(x))^2} \, dx\) [824]
  3.9.25 \(\int \genfrac {}{}{}{}{1}{(\coth ^2(x)-\text {csch}^2(x))^3} \, dx\) [825]
  3.9.26 \(\int \genfrac {}{}{}{}{1}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [826]
  3.9.27 \(\int \genfrac {}{}{}{}{\sinh (x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [827]
  3.9.28 \(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [828]
  3.9.29 \(\int \genfrac {}{}{}{}{\sinh ^3(x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [829]
  3.9.30 \(\int \genfrac {}{}{}{}{a+b \sinh (x)}{b^2-2 a b \sinh (x)+a^2 \sinh ^2(x)} \, dx\) [830]
  3.9.31 \(\int \genfrac {}{}{}{}{d+e \sinh (x)}{a+b \sinh (x)+c \sinh ^2(x)} \, dx\) [831]
  3.9.32 \(\int \genfrac {}{}{}{}{1}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [832]
  3.9.33 \(\int \genfrac {}{}{}{}{\cosh (x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [833]
  3.9.34 \(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [834]
  3.9.35 \(\int \genfrac {}{}{}{}{\cosh ^3(x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [835]
  3.9.36 \(\int \genfrac {}{}{}{}{a+b \cosh (x)}{b^2+2 a b \cosh (x)+a^2 \cosh ^2(x)} \, dx\) [836]
  3.9.37 \(\int \genfrac {}{}{}{}{d+e \cosh (x)}{a+b \cosh (x)+c \cosh ^2(x)} \, dx\) [837]
  3.9.38 \(\int \genfrac {}{}{}{}{\sinh ^2(x)}{a \cosh ^2(x)+b \sinh ^2(x)} \, dx\) [838]
  3.9.39 \(\int \genfrac {}{}{}{}{\cosh ^2(x)}{a \cosh ^2(x)+b \sinh ^2(x)} \, dx\) [839]
  3.9.40 \(\int \genfrac {}{}{}{}{\sinh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx\) [840]
  3.9.41 \(\int \genfrac {}{}{}{}{\cosh ^3(x)}{\cosh ^3(x)+\sinh ^3(x)} \, dx\) [841]
  3.9.42 \(\int \genfrac {}{}{}{}{x \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^2(x)}} \, dx\) [842]
  3.9.43 \(\int \genfrac {}{}{}{}{x^2 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^2(x)}} \, dx\) [843]
  3.9.44 \(\int \genfrac {}{}{}{}{x^3 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^2(x)}} \, dx\) [844]
  3.9.45 \(\int \genfrac {}{}{}{}{x \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^4(x)}} \, dx\) [845]
  3.9.46 \(\int \genfrac {}{}{}{}{x^2 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^4(x)}} \, dx\) [846]
  3.9.47 \(\int \genfrac {}{}{}{}{x^3 \text {csch}(x) \text {sech}(x)}{\sqrt {a \text {sech}^4(x)}} \, dx\) [847]
  3.9.48 \(\int x \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^2(x)} \, dx\) [848]
  3.9.49 \(\int x^2 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^2(x)} \, dx\) [849]
  3.9.50 \(\int x^3 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^2(x)} \, dx\) [850]
  3.9.51 \(\int x \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^4(x)} \, dx\) [851]
  3.9.52 \(\int x^2 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^4(x)} \, dx\) [852]
  3.9.53 \(\int x^3 \text {csch}(x) \text {sech}(x) \sqrt {a \text {sech}^4(x)} \, dx\) [853]
  3.9.54 \(\int (a+b \cosh (c+d x) \sinh (c+d x))^m \, dx\) [854]
  3.9.55 \(\int (a+b \cosh (c+d x) \sinh (c+d x))^3 \, dx\) [855]
  3.9.56 \(\int (a+b \cosh (c+d x) \sinh (c+d x))^2 \, dx\) [856]
  3.9.57 \(\int (a+b \cosh (c+d x) \sinh (c+d x)) \, dx\) [857]
  3.9.58 \(\int \genfrac {}{}{}{}{1}{a+b \cosh (c+d x) \sinh (c+d x)} \, dx\) [858]
  3.9.59 \(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^2} \, dx\) [859]
  3.9.60 \(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^3} \, dx\) [860]
  3.9.61 \(\int (a+b \cosh (c+d x) \sinh (c+d x))^{5/2} \, dx\) [861]
  3.9.62 \(\int (a+b \cosh (c+d x) \sinh (c+d x))^{3/2} \, dx\) [862]
  3.9.63 \(\int \sqrt {a+b \cosh (c+d x) \sinh (c+d x)} \, dx\) [863]
  3.9.64 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \cosh (c+d x) \sinh (c+d x)}} \, dx\) [864]
  3.9.65 \(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{3/2}} \, dx\) [865]
  3.9.66 \(\int \genfrac {}{}{}{}{1}{(a+b \cosh (c+d x) \sinh (c+d x))^{5/2}} \, dx\) [866]
  3.9.67 \(\int \genfrac {}{}{}{}{x^3}{a+b \cosh (x) \sinh (x)} \, dx\) [867]
  3.9.68 \(\int \genfrac {}{}{}{}{x^2}{a+b \cosh (x) \sinh (x)} \, dx\) [868]
  3.9.69 \(\int \genfrac {}{}{}{}{x}{a+b \cosh (x) \sinh (x)} \, dx\) [869]
  3.9.70 \(\int \genfrac {}{}{}{}{1}{x (a+b \cosh (x) \sinh (x))} \, dx\) [870]
  3.9.71 \(\int F^{c (a+b x)} \sinh ^n(d+e x) \, dx\) [871]
  3.9.72 \(\int e^{2 (a+b x)} \sinh ^3(a+b x) \, dx\) [872]
  3.9.73 \(\int e^{2 (a+b x)} \sinh ^2(a+b x) \, dx\) [873]
  3.9.74 \(\int e^{2 (a+b x)} \sinh (a+b x) \, dx\) [874]
  3.9.75 \(\int e^{2 (a+b x)} \text {csch}(a+b x) \, dx\) [875]
  3.9.76 \(\int e^{2 (a+b x)} \text {csch}^2(a+b x) \, dx\) [876]
  3.9.77 \(\int e^{2 (a+b x)} \text {csch}^3(a+b x) \, dx\) [877]
  3.9.78 \(\int e^{a+b x} \sinh ^3(c+d x) \, dx\) [878]
  3.9.79 \(\int e^{a+b x} \sinh ^2(c+d x) \, dx\) [879]
  3.9.80 \(\int e^{a+b x} \sinh (c+d x) \, dx\) [880]
  3.9.81 \(\int e^{a+b x} \text {csch}(c+d x) \, dx\) [881]
  3.9.82 \(\int e^{c+d x} \text {csch}^2(a+b x) \, dx\) [882]
  3.9.83 \(\int e^{c+d x} \text {csch}^3(a+b x) \, dx\) [883]
  3.9.84 \(\int F^{c (a+b x)} \cosh ^n(d+e x) \, dx\) [884]
  3.9.85 \(\int e^{a+b x} \cosh ^3(c+d x) \, dx\) [885]
  3.9.86 \(\int e^{a+b x} \cosh ^2(c+d x) \, dx\) [886]
  3.9.87 \(\int e^{a+b x} \cosh (c+d x) \, dx\) [887]
  3.9.88 \(\int e^{a+b x} \text {sech}(c+d x) \, dx\) [888]
  3.9.89 \(\int e^{a+b x} \text {sech}^2(c+d x) \, dx\) [889]
  3.9.90 \(\int e^{a+b x} \text {sech}^3(c+d x) \, dx\) [890]
  3.9.91 \(\int F^{c (a+b x)} \text {sech}^n(d+e x) \, dx\) [891]
  3.9.92 \(\int F^{c (a+b x)} \text {csch}^n(d+e x) \, dx\) [892]
  3.9.93 \(\int F^{c (a+b x)} (f+i f \sinh (d+e x))^2 \, dx\) [893]
  3.9.94 \(\int F^{c (a+b x)} (f+i f \sinh (d+e x)) \, dx\) [894]
  3.9.95 \(\int \genfrac {}{}{}{}{F^{c (a+b x)}}{f+i f \sinh (d+e x)} \, dx\) [895]
  3.9.96 \(\int \genfrac {}{}{}{}{F^{c (a+b x)}}{(f+i f \sinh (d+e x))^2} \, dx\) [896]
  3.9.97 \(\int F^{c (a+b x)} (f+f \cosh (d+e x))^2 \, dx\) [897]
  3.9.98 \(\int F^{c (a+b x)} (f+f \cosh (d+e x)) \, dx\) [898]
  3.9.99 \(\int \genfrac {}{}{}{}{F^{c (a+b x)}}{f+f \cosh (d+e x)} \, dx\) [899]
  3.9.100 \(\int \genfrac {}{}{}{}{F^{c (a+b x)}}{(f+f \cosh (d+e x))^2} \, dx\) [900]