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3.4
Integrals 301 to 361
3.4.1
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(c+d \coth (a+b x))}{x} \, dx\) [301]
3.4.2
\(\int x^3 \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\) [302]
3.4.3
\(\int x^2 \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\) [303]
3.4.4
\(\int x \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\) [304]
3.4.5
\(\int \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\) [305]
3.4.6
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(1+d+d \coth (a+b x))}{x} \, dx\) [306]
3.4.7
\(\int x^3 \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\) [307]
3.4.8
\(\int x^2 \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\) [308]
3.4.9
\(\int x \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\) [309]
3.4.10
\(\int \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\) [310]
3.4.11
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(1-d-d \coth (a+b x))}{x} \, dx\) [311]
3.4.12
\(\int (e+f x)^3 \tanh ^{-1}(\tan (a+b x)) \, dx\) [312]
3.4.13
\(\int (e+f x)^2 \tanh ^{-1}(\tan (a+b x)) \, dx\) [313]
3.4.14
\(\int (e+f x) \tanh ^{-1}(\tan (a+b x)) \, dx\) [314]
3.4.15
\(\int \tanh ^{-1}(\tan (a+b x)) \, dx\) [315]
3.4.16
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(\tan (a+b x))}{e+f x} \, dx\) [316]
3.4.17
\(\int x^2 \tanh ^{-1}(c+d \tan (a+b x)) \, dx\) [317]
3.4.18
\(\int x \tanh ^{-1}(c+d \tan (a+b x)) \, dx\) [318]
3.4.19
\(\int \tanh ^{-1}(c+d \tan (a+b x)) \, dx\) [319]
3.4.20
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(c+d \tan (a+b x))}{x} \, dx\) [320]
3.4.21
\(\int x^2 \tanh ^{-1}(1-i d+d \tan (a+b x)) \, dx\) [321]
3.4.22
\(\int x \tanh ^{-1}(1-i d+d \tan (a+b x)) \, dx\) [322]
3.4.23
\(\int \tanh ^{-1}(1-i d+d \tan (a+b x)) \, dx\) [323]
3.4.24
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(1-i d+d \tan (a+b x))}{x} \, dx\) [324]
3.4.25
\(\int x^2 \tanh ^{-1}(1+i d-d \tan (a+b x)) \, dx\) [325]
3.4.26
\(\int x \tanh ^{-1}(1+i d-d \tan (a+b x)) \, dx\) [326]
3.4.27
\(\int \tanh ^{-1}(1+i d-d \tan (a+b x)) \, dx\) [327]
3.4.28
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(1+i d-d \tan (a+b x))}{x} \, dx\) [328]
3.4.29
\(\int (e+f x)^3 \tanh ^{-1}(\cot (a+b x)) \, dx\) [329]
3.4.30
\(\int (e+f x)^2 \tanh ^{-1}(\cot (a+b x)) \, dx\) [330]
3.4.31
\(\int (e+f x) \tanh ^{-1}(\cot (a+b x)) \, dx\) [331]
3.4.32
\(\int \tanh ^{-1}(\cot (a+b x)) \, dx\) [332]
3.4.33
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(\cot (a+b x))}{e+f x} \, dx\) [333]
3.4.34
\(\int x^2 \tanh ^{-1}(c+d \cot (a+b x)) \, dx\) [334]
3.4.35
\(\int x \tanh ^{-1}(c+d \cot (a+b x)) \, dx\) [335]
3.4.36
\(\int \tanh ^{-1}(c+d \cot (a+b x)) \, dx\) [336]
3.4.37
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(c+d \cot (a+b x))}{x} \, dx\) [337]
3.4.38
\(\int x^2 \tanh ^{-1}(1+i d+d \cot (a+b x)) \, dx\) [338]
3.4.39
\(\int x \tanh ^{-1}(1+i d+d \cot (a+b x)) \, dx\) [339]
3.4.40
\(\int \tanh ^{-1}(1+i d+d \cot (a+b x)) \, dx\) [340]
3.4.41
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(1+i d+d \cot (a+b x))}{x} \, dx\) [341]
3.4.42
\(\int x^2 \tanh ^{-1}(1-i d-d \cot (a+b x)) \, dx\) [342]
3.4.43
\(\int x \tanh ^{-1}(1-i d-d \cot (a+b x)) \, dx\) [343]
3.4.44
\(\int \tanh ^{-1}(1-i d-d \cot (a+b x)) \, dx\) [344]
3.4.45
\(\int \genfrac {}{}{}{}{\tanh ^{-1}(1-i d-d \cot (a+b x))}{x} \, dx\) [345]
3.4.46
\(\int \tanh ^{-1}(e^x) \, dx\) [346]
3.4.47
\(\int x \tanh ^{-1}(e^x) \, dx\) [347]
3.4.48
\(\int x^2 \tanh ^{-1}(e^x) \, dx\) [348]
3.4.49
\(\int \tanh ^{-1}(e^{a+b x}) \, dx\) [349]
3.4.50
\(\int x \tanh ^{-1}(e^{a+b x}) \, dx\) [350]
3.4.51
\(\int x^2 \tanh ^{-1}(e^{a+b x}) \, dx\) [351]
3.4.52
\(\int \tanh ^{-1}(a+b f^{c+d x}) \, dx\) [352]
3.4.53
\(\int x \tanh ^{-1}(a+b f^{c+d x}) \, dx\) [353]
3.4.54
\(\int x^2 \tanh ^{-1}(a+b f^{c+d x}) \, dx\) [354]
3.4.55
\(\int e^{c (a+b x)} \tanh ^{-1}(\sinh (a c+b c x)) \, dx\) [355]
3.4.56
\(\int e^{c (a+b x)} \tanh ^{-1}(\cosh (a c+b c x)) \, dx\) [356]
3.4.57
\(\int e^{c (a+b x)} \tanh ^{-1}(\tanh (a c+b c x)) \, dx\) [357]
3.4.58
\(\int e^{c (a+b x)} \tanh ^{-1}(\coth (a c+b c x)) \, dx\) [358]
3.4.59
\(\int e^{c (a+b x)} \tanh ^{-1}(\text {sech}(a c+b c x)) \, dx\) [359]
3.4.60
\(\int e^{c (a+b x)} \tanh ^{-1}(\text {csch}(a c+b c x)) \, dx\) [360]
3.4.61
\(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^n)) (d+e \log (f x^m))}{x} \, dx\) [361]
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