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]