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3.2
Integrals 101 to 200
3.2.1
\(\int \genfrac {}{}{}{}{\text {sech}^3(x)}{a+b \text {sech}(x)} \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{\text {sech}^4(x)}{a+b \text {sech}(x)} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{\tanh ^6(x)}{a+a \text {sech}(x)} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{\tanh ^5(x)}{a+a \text {sech}(x)} \, dx\) [104]
3.2.5
\(\int \genfrac {}{}{}{}{\tanh ^4(x)}{a+a \text {sech}(x)} \, dx\) [105]
3.2.6
\(\int \genfrac {}{}{}{}{\tanh ^3(x)}{a+a \text {sech}(x)} \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{a+a \text {sech}(x)} \, dx\) [107]
3.2.8
\(\int \genfrac {}{}{}{}{\tanh (x)}{a+a \text {sech}(x)} \, dx\) [108]
3.2.9
\(\int \genfrac {}{}{}{}{\coth (x)}{a+a \text {sech}(x)} \, dx\) [109]
3.2.10
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{a+a \text {sech}(x)} \, dx\) [110]
3.2.11
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{a+a \text {sech}(x)} \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{\coth ^4(x)}{a+a \text {sech}(x)} \, dx\) [112]
3.2.13
\(\int \genfrac {}{}{}{}{\tanh ^7(x)}{a+b \text {sech}(x)} \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{\tanh ^6(x)}{a+b \text {sech}(x)} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{\tanh ^5(x)}{a+b \text {sech}(x)} \, dx\) [115]
3.2.16
\(\int \genfrac {}{}{}{}{\tanh ^4(x)}{a+b \text {sech}(x)} \, dx\) [116]
3.2.17
\(\int \genfrac {}{}{}{}{\tanh ^3(x)}{a+b \text {sech}(x)} \, dx\) [117]
3.2.18
\(\int \genfrac {}{}{}{}{\tanh ^2(x)}{a+b \text {sech}(x)} \, dx\) [118]
3.2.19
\(\int \genfrac {}{}{}{}{\tanh (x)}{a+b \text {sech}(x)} \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{\coth (x)}{a+b \text {sech}(x)} \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{\coth ^2(x)}{a+b \text {sech}(x)} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{\coth ^3(x)}{a+b \text {sech}(x)} \, dx\) [122]
3.2.23
\(\int \genfrac {}{}{}{}{\coth ^4(x)}{a+b \text {sech}(x)} \, dx\) [123]
3.2.24
\(\int \genfrac {}{}{}{}{\coth ^5(x)}{a+b \text {sech}(x)} \, dx\) [124]
3.2.25
\(\int \sqrt {a+b \text {sech}(c+d x)} \tanh ^5(c+d x) \, dx\) [125]
3.2.26
\(\int \sqrt {a+b \text {sech}(c+d x)} \tanh ^3(c+d x) \, dx\) [126]
3.2.27
\(\int \sqrt {a+b \text {sech}(c+d x)} \tanh (c+d x) \, dx\) [127]
3.2.28
\(\int \coth (c+d x) \sqrt {a+b \text {sech}(c+d x)} \, dx\) [128]
3.2.29
\(\int \coth ^3(c+d x) \sqrt {a+b \text {sech}(c+d x)} \, dx\) [129]
3.2.30
\(\int \sqrt {a+b \text {sech}(c+d x)} \tanh ^2(c+d x) \, dx\) [130]
3.2.31
\(\int \sqrt {a+b \text {sech}(c+d x)} \, dx\) [131]
3.2.32
\(\int \coth ^2(c+d x) \sqrt {a+b \text {sech}(c+d x)} \, dx\) [132]
3.2.33
\(\int \genfrac {}{}{}{}{\tanh ^5(c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [133]
3.2.34
\(\int \genfrac {}{}{}{}{\tanh ^3(c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [134]
3.2.35
\(\int \genfrac {}{}{}{}{\tanh (c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [135]
3.2.36
\(\int \genfrac {}{}{}{}{\coth (c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [136]
3.2.37
\(\int \genfrac {}{}{}{}{\coth ^3(c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [137]
3.2.38
\(\int \genfrac {}{}{}{}{\tanh ^4(c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [138]
3.2.39
\(\int \genfrac {}{}{}{}{\tanh ^2(c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [139]
3.2.40
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [140]
3.2.41
\(\int \genfrac {}{}{}{}{\coth ^2(c+d x)}{\sqrt {a+b \text {sech}(c+d x)}} \, dx\) [141]
3.2.42
\(\int \genfrac {}{}{}{}{\tanh ^5(c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [142]
3.2.43
\(\int \genfrac {}{}{}{}{\tanh ^3(c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [143]
3.2.44
\(\int \genfrac {}{}{}{}{\tanh (c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [144]
3.2.45
\(\int \genfrac {}{}{}{}{\coth (c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [145]
3.2.46
\(\int \genfrac {}{}{}{}{\coth ^3(c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [146]
3.2.47
\(\int \genfrac {}{}{}{}{\tanh ^4(c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [147]
3.2.48
\(\int \genfrac {}{}{}{}{\tanh ^2(c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [148]
3.2.49
\(\int \genfrac {}{}{}{}{1}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [149]
3.2.50
\(\int \genfrac {}{}{}{}{\coth ^2(c+d x)}{(a+b \text {sech}(c+d x))^{3/2}} \, dx\) [150]
3.2.51
\(\int e^{c (a+b x)} \text {sech}^2(a c+b c x)^{7/2} \, dx\) [151]
3.2.52
\(\int e^{c (a+b x)} \text {sech}^2(a c+b c x)^{5/2} \, dx\) [152]
3.2.53
\(\int e^{c (a+b x)} \text {sech}^2(a c+b c x)^{3/2} \, dx\) [153]
3.2.54
\(\int e^{c (a+b x)} \sqrt {\text {sech}^2(a c+b c x)} \, dx\) [154]
3.2.55
\(\int \genfrac {}{}{}{}{e^{c (a+b x)}}{\sqrt {\text {sech}^2(a c+b c x)}} \, dx\) [155]
3.2.56
\(\int \genfrac {}{}{}{}{e^{c (a+b x)}}{\text {sech}^2(a c+b c x)^{3/2}} \, dx\) [156]
3.2.57
\(\int \genfrac {}{}{}{}{e^{c (a+b x)}}{\text {sech}^2(a c+b c x)^{5/2}} \, dx\) [157]
3.2.58
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {\text {sech}(2 \log (c x))}} \, dx\) [158]
3.2.59
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {\text {sech}(2 \log (c x))}} \, dx\) [159]
3.2.60
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {\text {sech}(2 \log (c x))}} \, dx\) [160]
3.2.61
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {\text {sech}(2 \log (c x))}} \, dx\) [161]
3.2.62
\(\int \genfrac {}{}{}{}{x}{\sqrt {\text {sech}(2 \log (c x))}} \, dx\) [162]
3.2.63
\(\int \genfrac {}{}{}{}{1}{\sqrt {\text {sech}(2 \log (c x))}} \, dx\) [163]
3.2.64
\(\int \genfrac {}{}{}{}{\sqrt {\text {sech}(2 \log (c x))}}{x} \, dx\) [164]
3.2.65
\(\int \genfrac {}{}{}{}{\sqrt {\text {sech}(2 \log (c x))}}{x^2} \, dx\) [165]
3.2.66
\(\int \genfrac {}{}{}{}{\sqrt {\text {sech}(2 \log (c x))}}{x^3} \, dx\) [166]
3.2.67
\(\int \genfrac {}{}{}{}{\sqrt {\text {sech}(2 \log (c x))}}{x^4} \, dx\) [167]
3.2.68
\(\int \genfrac {}{}{}{}{\sqrt {\text {sech}(2 \log (c x))}}{x^5} \, dx\) [168]
3.2.69
\(\int \genfrac {}{}{}{}{x^8}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [169]
3.2.70
\(\int \genfrac {}{}{}{}{x^7}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [170]
3.2.71
\(\int \genfrac {}{}{}{}{x^6}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [171]
3.2.72
\(\int \genfrac {}{}{}{}{x^5}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [172]
3.2.73
\(\int \genfrac {}{}{}{}{x^4}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [173]
3.2.74
\(\int \genfrac {}{}{}{}{x^3}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [174]
3.2.75
\(\int \genfrac {}{}{}{}{x^2}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [175]
3.2.76
\(\int \genfrac {}{}{}{}{x}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [176]
3.2.77
\(\int \genfrac {}{}{}{}{1}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))} \, dx\) [177]
3.2.78
\(\int \genfrac {}{}{}{}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x} \, dx\) [178]
3.2.79
\(\int \genfrac {}{}{}{}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x^2} \, dx\) [179]
3.2.80
\(\int \genfrac {}{}{}{}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x^3} \, dx\) [180]
3.2.81
\(\int \genfrac {}{}{}{}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(2 \log (c x))}{x^4} \, dx\) [181]
3.2.82
\(\int \text {sech}(a+b \log (c x^n)) \, dx\) [182]
3.2.83
\(\int \text {sech}^2(a+b \log (c x^n)) \, dx\) [183]
3.2.84
\(\int \text {sech}^3(a+b \log (c x^n)) \, dx\) [184]
3.2.85
\(\int \text {sech}^4(a+b \log (c x^n)) \, dx\) [185]
3.2.86
\(\int ((1-b^2 n^2) \text {sech}(a+b \log (c x^n))+2 b^2 n^2 \text {sech}^3(a+b \log (c x^n))) \, dx\) [186]
3.2.87
\(\int \text {sech}^3(a+2 \log (c \sqrt {x})) \, dx\) [187]
3.2.88
\(\int \text {sech}^3(a+2 \log (\genfrac {}{}{}{}{c}{\sqrt {x}})) \, dx\) [188]
3.2.89
\(\int \text {sech}^p(a+\genfrac {}{}{}{}{\log (c x^n)}{n (-2+p)}) \, dx\) [189]
3.2.90
\(\int \text {sech}^p(a-\genfrac {}{}{}{}{\log (c x^n)}{n (-2+p)}) \, dx\) [190]
3.2.91
\(\int \genfrac {}{}{}{}{\text {sech}(a+b \log (c x^n))}{x} \, dx\) [191]
3.2.92
\(\int \genfrac {}{}{}{}{\text {sech}^2(a+b \log (c x^n))}{x} \, dx\) [192]
3.2.93
\(\int \genfrac {}{}{}{}{\text {sech}^3(a+b \log (c x^n))}{x} \, dx\) [193]
3.2.94
\(\int \genfrac {}{}{}{}{\text {sech}^4(a+b \log (c x^n))}{x} \, dx\) [194]
3.2.95
\(\int \genfrac {}{}{}{}{\text {sech}^5(a+b \log (c x^n))}{x} \, dx\) [195]
3.2.96
\(\int \genfrac {}{}{}{}{\text {sech}^{\genfrac {}{}{}{}{5}{2}}(a+b \log (c x^n))}{x} \, dx\) [196]
3.2.97
\(\int \genfrac {}{}{}{}{\text {sech}^{\genfrac {}{}{}{}{3}{2}}(a+b \log (c x^n))}{x} \, dx\) [197]
3.2.98
\(\int \genfrac {}{}{}{}{\sqrt {\text {sech}(a+b \log (c x^n))}}{x} \, dx\) [198]
3.2.99
\(\int \genfrac {}{}{}{}{1}{x \sqrt {\text {sech}(a+b \log (c x^n))}} \, dx\) [199]
3.2.100
\(\int \genfrac {}{}{}{}{1}{x \text {sech}^{\genfrac {}{}{}{}{3}{2}}(a+b \log (c x^n))} \, dx\) [200]
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