3.4.1 \(\int e^{2 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [301]
  3.4.2 \(\int e^{2 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [302]
  3.4.3 \(\int e^{2 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [303]
  3.4.4 \(\int e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [304]
  3.4.5 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [305]
  3.4.6 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [306]
  3.4.7 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [307]
  3.4.8 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [308]
  3.4.9 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [309]
  3.4.10 \(\int e^{3 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [310]
  3.4.11 \(\int e^{3 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [311]
  3.4.12 \(\int e^{3 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [312]
  3.4.13 \(\int e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [313]
  3.4.14 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [314]
  3.4.15 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [315]
  3.4.16 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [316]
  3.4.17 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [317]
  3.4.18 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [318]
  3.4.19 \(\int e^{\coth ^{-1}(x)} x (1+x)^{3/2} \, dx\) [319]
  3.4.20 \(\int e^{\coth ^{-1}(x)} (1+x)^{3/2} \, dx\) [320]
  3.4.21 \(\int e^{\coth ^{-1}(x)} (1-x)^{3/2} x \, dx\) [321]
  3.4.22 \(\int e^{\coth ^{-1}(x)} (1-x)^{3/2} \, dx\) [322]
  3.4.23 \(\int e^{\coth ^{-1}(x)} x \sqrt {1+x} \, dx\) [323]
  3.4.24 \(\int e^{\coth ^{-1}(x)} \sqrt {1+x} \, dx\) [324]
  3.4.25 \(\int e^{\coth ^{-1}(x)} \sqrt {1-x} x \, dx\) [325]
  3.4.26 \(\int e^{\coth ^{-1}(x)} \sqrt {1-x} \, dx\) [326]
  3.4.27 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{\sqrt {1+x}} \, dx\) [327]
  3.4.28 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{\sqrt {1+x}} \, dx\) [328]
  3.4.29 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{\sqrt {1-x}} \, dx\) [329]
  3.4.30 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{\sqrt {1-x}} \, dx\) [330]
  3.4.31 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{(1+x)^{3/2}} \, dx\) [331]
  3.4.32 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{(1+x)^{3/2}} \, dx\) [332]
  3.4.33 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{(1-x)^{3/2}} \, dx\) [333]
  3.4.34 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{(1-x)^{3/2}} \, dx\) [334]
  3.4.35 \(\int e^{-\coth ^{-1}(a x)} x^m \sqrt {c-a c x} \, dx\) [335]
  3.4.36 \(\int e^{-\coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [336]
  3.4.37 \(\int e^{-\coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [337]
  3.4.38 \(\int e^{-\coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [338]
  3.4.39 \(\int \genfrac {}{}{}{}{e^{-\coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [339]
  3.4.40 \(\int \genfrac {}{}{}{}{e^{-\coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [340]
  3.4.41 \(\int e^{-2 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [341]
  3.4.42 \(\int e^{-2 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [342]
  3.4.43 \(\int e^{-2 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [343]
  3.4.44 \(\int e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [344]
  3.4.45 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [345]
  3.4.46 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [346]
  3.4.47 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [347]
  3.4.48 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [348]
  3.4.49 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [349]
  3.4.50 \(\int e^{-3 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [350]
  3.4.51 \(\int e^{-3 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [351]
  3.4.52 \(\int e^{-3 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [352]
  3.4.53 \(\int e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [353]
  3.4.54 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [354]
  3.4.55 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [355]
  3.4.56 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [356]
  3.4.57 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [357]
  3.4.58 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [358]
  3.4.59 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{2+\genfrac {}{}{}{}{n}{2}} \, dx\) [359]
  3.4.60 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{1+\genfrac {}{}{}{}{n}{2}} \, dx\) [360]
  3.4.61 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{n/2} \, dx\) [361]
  3.4.62 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{-1+\genfrac {}{}{}{}{n}{2}} \, dx\) [362]
  3.4.63 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{-2+\genfrac {}{}{}{}{n}{2}} \, dx\) [363]
  3.4.64 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^p \, dx\) [364]
  3.4.65 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^3 \, dx\) [365]
  3.4.66 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^2 \, dx\) [366]
  3.4.67 \(\int e^{n \coth ^{-1}(a x)} (c-a c x) \, dx\) [367]
  3.4.68 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{c-a c x} \, dx\) [368]
  3.4.69 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^2} \, dx\) [369]
  3.4.70 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^3} \, dx\) [370]
  3.4.71 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^4} \, dx\) [371]
  3.4.72 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{5/2} \, dx\) [372]
  3.4.73 \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{3/2} \, dx\) [373]
  3.4.74 \(\int e^{n \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [374]
  3.4.75 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{\sqrt {c-a c x}} \, dx\) [375]
  3.4.76 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\) [376]
  3.4.77 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\) [377]
  3.4.78 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\) [378]
  3.4.79 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^4 \, dx\) [379]
  3.4.80 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^3 \, dx\) [380]
  3.4.81 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^2 \, dx\) [381]
  3.4.82 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x}) \, dx\) [382]
  3.4.83 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a x}} \, dx\) [383]
  3.4.84 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^2} \, dx\) [384]
  3.4.85 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^3} \, dx\) [385]
  3.4.86 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^4} \, dx\) [386]
  3.4.87 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^5 \, dx\) [387]
  3.4.88 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^4 \, dx\) [388]
  3.4.89 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^3 \, dx\) [389]
  3.4.90 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^2 \, dx\) [390]
  3.4.91 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x}) \, dx\) [391]
  3.4.92 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a x}} \, dx\) [392]
  3.4.93 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^2} \, dx\) [393]
  3.4.94 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^3} \, dx\) [394]
  3.4.95 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^4} \, dx\) [395]
  3.4.96 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^4 \, dx\) [396]
  3.4.97 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^3 \, dx\) [397]
  3.4.98 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^2 \, dx\) [398]
  3.4.99 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x}) \, dx\) [399]
  3.4.100 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a x}} \, dx\) [400]