3.3 Integrals 201 to 234

  3.3.1 \(\int (e+f x)^2 \cot ^{-1}(\coth (a+b x)) \, dx\) [201]
  3.3.2 \(\int (e+f x) \cot ^{-1}(\coth (a+b x)) \, dx\) [202]
  3.3.3 \(\int \cot ^{-1}(\coth (a+b x)) \, dx\) [203]
  3.3.4 \(\int \genfrac {}{}{}{}{\cot ^{-1}(\coth (a+b x))}{e+f x} \, dx\) [204]
  3.3.5 \(\int x^2 \cot ^{-1}(c+d \coth (a+b x)) \, dx\) [205]
  3.3.6 \(\int x \cot ^{-1}(c+d \coth (a+b x)) \, dx\) [206]
  3.3.7 \(\int \cot ^{-1}(c+d \coth (a+b x)) \, dx\) [207]
  3.3.8 \(\int \genfrac {}{}{}{}{\cot ^{-1}(c+d \coth (a+b x))}{x} \, dx\) [208]
  3.3.9 \(\int x^2 \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx\) [209]
  3.3.10 \(\int x \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx\) [210]
  3.3.11 \(\int \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx\) [211]
  3.3.12 \(\int \genfrac {}{}{}{}{\cot ^{-1}(c+(i+c) \coth (a+b x))}{x} \, dx\) [212]
  3.3.13 \(\int x^2 \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx\) [213]
  3.3.14 \(\int x \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx\) [214]
  3.3.15 \(\int \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx\) [215]
  3.3.16 \(\int \genfrac {}{}{}{}{\cot ^{-1}(c-(i-c) \coth (a+b x))}{x} \, dx\) [216]
  3.3.17 \(\int \genfrac {}{}{}{}{(a+b \cot ^{-1}(c x^n)) (d+e \log (f x^m))}{x} \, dx\) [217]
  3.3.18 \(\int \cot ^{-1}(e^x) \, dx\) [218]
  3.3.19 \(\int x \cot ^{-1}(e^x) \, dx\) [219]
  3.3.20 \(\int x^2 \cot ^{-1}(e^x) \, dx\) [220]
  3.3.21 \(\int \cot ^{-1}(e^{a+b x}) \, dx\) [221]
  3.3.22 \(\int x \cot ^{-1}(e^{a+b x}) \, dx\) [222]
  3.3.23 \(\int x^2 \cot ^{-1}(e^{a+b x}) \, dx\) [223]
  3.3.24 \(\int \cot ^{-1}(a+b f^{c+d x}) \, dx\) [224]
  3.3.25 \(\int x \cot ^{-1}(a+b f^{c+d x}) \, dx\) [225]
  3.3.26 \(\int x^2 \cot ^{-1}(a+b f^{c+d x}) \, dx\) [226]
  3.3.27 \(\int e^{-x} \cot ^{-1}(e^x) \, dx\) [227]
  3.3.28 \(\int \genfrac {}{}{}{}{1}{(a+a x^2) (b-2 b \cot ^{-1}(x))} \, dx\) [228]
  3.3.29 \(\int e^{c (a+b x)} \cot ^{-1}(\sinh (a c+b c x)) \, dx\) [229]
  3.3.30 \(\int e^{c (a+b x)} \cot ^{-1}(\cosh (a c+b c x)) \, dx\) [230]
  3.3.31 \(\int e^{c (a+b x)} \cot ^{-1}(\tanh (a c+b c x)) \, dx\) [231]
  3.3.32 \(\int e^{c (a+b x)} \cot ^{-1}(\coth (a c+b c x)) \, dx\) [232]
  3.3.33 \(\int e^{c (a+b x)} \cot ^{-1}(\text {sech}(a c+b c x)) \, dx\) [233]
  3.3.34 \(\int e^{c (a+b x)} \cot ^{-1}(\text {csch}(a c+b c x)) \, dx\) [234]