3.6 Integrals 501 to 600

3.6.1 \(\int x^m \text {csch}^2(a+b x) \text {sech}^3(a+b x) \, dx\) [501]
3.6.2 \(\int x^2 \text {csch}^2(a+b x) \text {sech}^3(a+b x) \, dx\) [502]
3.6.3 \(\int x \text {csch}^2(a+b x) \text {sech}^3(a+b x) \, dx\) [503]
3.6.4 \(\int \text {csch}^2(a+b x) \text {sech}^3(a+b x) \, dx\) [504]
3.6.5 \(\int \genfrac {}{}{}{}{\text {csch}^2(a+b x) \text {sech}^3(a+b x)}{x} \, dx\) [505]
3.6.6 \(\int \genfrac {}{}{}{}{\text {csch}^2(a+b x) \text {sech}^3(a+b x)}{x^2} \, dx\) [506]
3.6.7 \(\int x^m \text {csch}^3(a+b x) \text {sech}(a+b x) \, dx\) [507]
3.6.8 \(\int x^3 \text {csch}^3(a+b x) \text {sech}(a+b x) \, dx\) [508]
3.6.9 \(\int x^2 \text {csch}^3(a+b x) \text {sech}(a+b x) \, dx\) [509]
3.6.10 \(\int x \text {csch}^3(a+b x) \text {sech}(a+b x) \, dx\) [510]
3.6.11 \(\int \text {csch}^3(a+b x) \text {sech}(a+b x) \, dx\) [511]
3.6.12 \(\int \genfrac {}{}{}{}{\text {csch}^3(a+b x) \text {sech}(a+b x)}{x} \, dx\) [512]
3.6.13 \(\int \genfrac {}{}{}{}{\text {csch}^3(a+b x) \text {sech}(a+b x)}{x^2} \, dx\) [513]
3.6.14 \(\int x^m \text {csch}^3(a+b x) \text {sech}^2(a+b x) \, dx\) [514]
3.6.15 \(\int x^3 \text {csch}^3(a+b x) \text {sech}^2(a+b x) \, dx\) [515]
3.6.16 \(\int x^2 \text {csch}^3(a+b x) \text {sech}^2(a+b x) \, dx\) [516]
3.6.17 \(\int x \text {csch}^3(a+b x) \text {sech}^2(a+b x) \, dx\) [517]
3.6.18 \(\int \text {csch}^3(a+b x) \text {sech}^2(a+b x) \, dx\) [518]
3.6.19 \(\int \genfrac {}{}{}{}{\text {csch}^3(a+b x) \text {sech}^2(a+b x)}{x} \, dx\) [519]
3.6.20 \(\int \genfrac {}{}{}{}{\text {csch}^3(a+b x) \text {sech}^2(a+b x)}{x^2} \, dx\) [520]
3.6.21 \(\int x^m \text {csch}^3(a+b x) \text {sech}^3(a+b x) \, dx\) [521]
3.6.22 \(\int x^3 \text {csch}^3(a+b x) \text {sech}^3(a+b x) \, dx\) [522]
3.6.23 \(\int x^2 \text {csch}^3(a+b x) \text {sech}^3(a+b x) \, dx\) [523]
3.6.24 \(\int x \text {csch}^3(a+b x) \text {sech}^3(a+b x) \, dx\) [524]
3.6.25 \(\int \text {csch}^3(a+b x) \text {sech}^3(a+b x) \, dx\) [525]
3.6.26 \(\int \genfrac {}{}{}{}{\text {csch}^3(a+b x) \text {sech}^3(a+b x)}{x} \, dx\) [526]
3.6.27 \(\int \genfrac {}{}{}{}{\text {csch}^3(a+b x) \text {sech}^3(a+b x)}{x^2} \, dx\) [527]
3.6.28 \(\int x \cosh ^{\genfrac {}{}{}{}{5}{2}}(a+b x) \sinh (a+b x) \, dx\) [528]
3.6.29 \(\int x \cosh ^{\genfrac {}{}{}{}{3}{2}}(a+b x) \sinh (a+b x) \, dx\) [529]
3.6.30 \(\int x \sqrt {\cosh (a+b x)} \sinh (a+b x) \, dx\) [530]
3.6.31 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\sqrt {\cosh (a+b x)}} \, dx\) [531]
3.6.32 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\cosh ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [532]
3.6.33 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\cosh ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [533]
3.6.34 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\cosh ^{\genfrac {}{}{}{}{7}{2}}(a+b x)} \, dx\) [534]
3.6.35 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\cosh ^{\genfrac {}{}{}{}{9}{2}}(a+b x)} \, dx\) [535]
3.6.36 \(\int x \text {sech}^{\genfrac {}{}{}{}{9}{2}}(a+b x) \sinh (a+b x) \, dx\) [536]
3.6.37 \(\int x \text {sech}^{\genfrac {}{}{}{}{7}{2}}(a+b x) \sinh (a+b x) \, dx\) [537]
3.6.38 \(\int x \text {sech}^{\genfrac {}{}{}{}{5}{2}}(a+b x) \sinh (a+b x) \, dx\) [538]
3.6.39 \(\int x \text {sech}^{\genfrac {}{}{}{}{3}{2}}(a+b x) \sinh (a+b x) \, dx\) [539]
3.6.40 \(\int x \sqrt {\text {sech}(a+b x)} \sinh (a+b x) \, dx\) [540]
3.6.41 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\sqrt {\text {sech}(a+b x)}} \, dx\) [541]
3.6.42 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [542]
3.6.43 \(\int \genfrac {}{}{}{}{x \sinh (a+b x)}{\text {sech}^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [543]
3.6.44 \(\int x \cosh (a+b x) \sinh ^{\genfrac {}{}{}{}{5}{2}}(a+b x) \, dx\) [544]
3.6.45 \(\int x \cosh (a+b x) \sinh ^{\genfrac {}{}{}{}{3}{2}}(a+b x) \, dx\) [545]
3.6.46 \(\int x \cosh (a+b x) \sqrt {\sinh (a+b x)} \, dx\) [546]
3.6.47 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\sqrt {\sinh (a+b x)}} \, dx\) [547]
3.6.48 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\sinh ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [548]
3.6.49 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\sinh ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [549]
3.6.50 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\sinh ^{\genfrac {}{}{}{}{7}{2}}(a+b x)} \, dx\) [550]
3.6.51 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\sinh ^{\genfrac {}{}{}{}{9}{2}}(a+b x)} \, dx\) [551]
3.6.52 \(\int x \cosh (a+b x) \text {csch}^{\genfrac {}{}{}{}{9}{2}}(a+b x) \, dx\) [552]
3.6.53 \(\int x \cosh (a+b x) \text {csch}^{\genfrac {}{}{}{}{7}{2}}(a+b x) \, dx\) [553]
3.6.54 \(\int x \cosh (a+b x) \text {csch}^{\genfrac {}{}{}{}{5}{2}}(a+b x) \, dx\) [554]
3.6.55 \(\int x \cosh (a+b x) \text {csch}^{\genfrac {}{}{}{}{3}{2}}(a+b x) \, dx\) [555]
3.6.56 \(\int x \cosh (a+b x) \sqrt {\text {csch}(a+b x)} \, dx\) [556]
3.6.57 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\sqrt {\text {csch}(a+b x)}} \, dx\) [557]
3.6.58 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\text {csch}^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [558]
3.6.59 \(\int \genfrac {}{}{}{}{x \cosh (a+b x)}{\text {csch}^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [559]
3.6.60 \(\int \sqrt {\sinh (x) \tanh (x)} \, dx\) [560]
3.6.61 \(\int (\sinh (x) \tanh (x))^{3/2} \, dx\) [561]
3.6.62 \(\int (\sinh (x) \tanh (x))^{5/2} \, dx\) [562]
3.6.63 \(\int \sqrt {\cosh (x) \coth (x)} \, dx\) [563]
3.6.64 \(\int (\cosh (x) \coth (x))^{3/2} \, dx\) [564]
3.6.65 \(\int (\cosh (x) \coth (x))^{5/2} \, dx\) [565]
3.6.66 \(\int \genfrac {}{}{}{}{b+c+\cosh (x)}{a+b \sinh (x)} \, dx\) [566]
3.6.67 \(\int \genfrac {}{}{}{}{b+c+\cosh (x)}{a-b \sinh (x)} \, dx\) [567]
3.6.68 \(\int \genfrac {}{}{}{}{b+c+\sinh (x)}{a+b \cosh (x)} \, dx\) [568]
3.6.69 \(\int \genfrac {}{}{}{}{b+c+\sinh (x)}{a-b \cosh (x)} \, dx\) [569]
3.6.70 \(\int \genfrac {}{}{}{}{x (b-a \sinh (x))}{(a+b \sinh (x))^2} \, dx\) [570]
3.6.71 \(\int \genfrac {}{}{}{}{x (b+a \cosh (x))}{(a+b \cosh (x))^2} \, dx\) [571]
3.6.72 \(\int \genfrac {}{}{}{}{a+b \text {sech}(x)}{c+d \cosh (x)} \, dx\) [572]
3.6.73 \(\int \genfrac {}{}{}{}{a+b \text {csch}(x)}{c+d \sinh (x)} \, dx\) [573]
3.6.74 \(\int \genfrac {}{}{}{}{1+\sinh ^2(x)}{1-\sinh ^2(x)} \, dx\) [574]
3.6.75 \(\int \genfrac {}{}{}{}{1-\sinh ^2(x)}{1+\sinh ^2(x)} \, dx\) [575]
3.6.76 \(\int \genfrac {}{}{}{}{1+\cosh ^2(x)}{1-\cosh ^2(x)} \, dx\) [576]
3.6.77 \(\int \genfrac {}{}{}{}{1-\cosh ^2(x)}{1+\cosh ^2(x)} \, dx\) [577]
3.6.78 \(\int \genfrac {}{}{}{}{a+b \text {sech}^2(x)}{c+d \cosh (x)} \, dx\) [578]
3.6.79 \(\int \genfrac {}{}{}{}{a+b \text {csch}^2(x)}{c+d \sinh (x)} \, dx\) [579]
3.6.80 \(\int (a \cosh (x)+b \sinh (x)) \, dx\) [580]
3.6.81 \(\int (a \cosh (x)+b \sinh (x))^2 \, dx\) [581]
3.6.82 \(\int (a \cosh (x)+b \sinh (x))^3 \, dx\) [582]
3.6.83 \(\int (a \cosh (x)+b \sinh (x))^4 \, dx\) [583]
3.6.84 \(\int (a \cosh (x)+b \sinh (x))^5 \, dx\) [584]
3.6.85 \(\int \genfrac {}{}{}{}{1}{a \cosh (x)+b \sinh (x)} \, dx\) [585]
3.6.86 \(\int \genfrac {}{}{}{}{1}{(a \cosh (x)+b \sinh (x))^2} \, dx\) [586]
3.6.87 \(\int \genfrac {}{}{}{}{1}{(a \cosh (x)+b \sinh (x))^3} \, dx\) [587]
3.6.88 \(\int \genfrac {}{}{}{}{1}{(a \cosh (x)+b \sinh (x))^4} \, dx\) [588]
3.6.89 \(\int \genfrac {}{}{}{}{1}{(a \cosh (x)+b \sinh (x))^5} \, dx\) [589]
3.6.90 \(\int \sqrt {a \cosh (x)+b \sinh (x)} \, dx\) [590]
3.6.91 \(\int (a \cosh (x)+b \sinh (x))^{3/2} \, dx\) [591]
3.6.92 \(\int (a \cosh (x)+b \sinh (x))^{5/2} \, dx\) [592]
3.6.93 \(\int \genfrac {}{}{}{}{1}{\sqrt {a \cosh (x)+b \sinh (x)}} \, dx\) [593]
3.6.94 \(\int \genfrac {}{}{}{}{1}{(a \cosh (x)+b \sinh (x))^{3/2}} \, dx\) [594]
3.6.95 \(\int \genfrac {}{}{}{}{1}{(a \cosh (x)+b \sinh (x))^{5/2}} \, dx\) [595]
3.6.96 \(\int (a \cosh (c+d x)+a \sinh (c+d x)) \, dx\) [596]
3.6.97 \(\int (a \cosh (c+d x)+a \sinh (c+d x))^2 \, dx\) [597]
3.6.98 \(\int (a \cosh (c+d x)+a \sinh (c+d x))^3 \, dx\) [598]
3.6.99 \(\int (a \cosh (c+d x)+a \sinh (c+d x))^n \, dx\) [599]
3.6.100 \(\int \genfrac {}{}{}{}{1}{a \cosh (c+d x)+a \sinh (c+d x)} \, dx\) [600]