3.4 Integrals 301 to 400

   \(\int e^{2 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [301]
   \(\int e^{2 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [302]
   \(\int e^{2 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [303]
   \(\int e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [304]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [305]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [306]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [307]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [308]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [309]
   \(\int e^{3 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [310]
   \(\int e^{3 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [311]
   \(\int e^{3 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [312]
   \(\int e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [316]
   \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [317]
   \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [318]
   \(\int e^{\coth ^{-1}(x)} x (1+x)^{3/2} \, dx\) [319]
   \(\int e^{\coth ^{-1}(x)} (1+x)^{3/2} \, dx\) [320]
   \(\int e^{\coth ^{-1}(x)} (1-x)^{3/2} x \, dx\) [321]
   \(\int e^{\coth ^{-1}(x)} (1-x)^{3/2} \, dx\) [322]
   \(\int e^{\coth ^{-1}(x)} x \sqrt {1+x} \, dx\) [323]
   \(\int e^{\coth ^{-1}(x)} \sqrt {1+x} \, dx\) [324]
   \(\int e^{\coth ^{-1}(x)} \sqrt {1-x} x \, dx\) [325]
   \(\int e^{\coth ^{-1}(x)} \sqrt {1-x} \, dx\) [326]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{\sqrt {1+x}} \, dx\) [327]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{\sqrt {1+x}} \, dx\) [328]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{\sqrt {1-x}} \, dx\) [329]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{\sqrt {1-x}} \, dx\) [330]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{(1+x)^{3/2}} \, dx\) [331]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{(1+x)^{3/2}} \, dx\) [332]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)} x}{(1-x)^{3/2}} \, dx\) [333]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(x)}}{(1-x)^{3/2}} \, dx\) [334]
   \(\int e^{-\coth ^{-1}(a x)} x^m \sqrt {c-a c x} \, dx\) [335]
   \(\int e^{-\coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [336]
   \(\int e^{-\coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [337]
   \(\int e^{-\coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [338]
   \(\int \genfrac {}{}{}{}{e^{-\coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [339]
   \(\int \genfrac {}{}{}{}{e^{-\coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [340]
   \(\int e^{-2 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [341]
   \(\int e^{-2 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [342]
   \(\int e^{-2 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [343]
   \(\int e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [344]
   \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [345]
   \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [346]
   \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [347]
   \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [348]
   \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [349]
   \(\int e^{-3 \coth ^{-1}(a x)} x^3 \sqrt {c-a c x} \, dx\) [350]
   \(\int e^{-3 \coth ^{-1}(a x)} x^2 \sqrt {c-a c x} \, dx\) [351]
   \(\int e^{-3 \coth ^{-1}(a x)} x \sqrt {c-a c x} \, dx\) [352]
   \(\int e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [353]
   \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x} \, dx\) [354]
   \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^2} \, dx\) [355]
   \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^3} \, dx\) [356]
   \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^4} \, dx\) [357]
   \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a c x}}{x^5} \, dx\) [358]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{2+\genfrac {}{}{}{}{n}{2}} \, dx\) [359]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{1+\genfrac {}{}{}{}{n}{2}} \, dx\) [360]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{n/2} \, dx\) [361]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{-1+\genfrac {}{}{}{}{n}{2}} \, dx\) [362]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{-2+\genfrac {}{}{}{}{n}{2}} \, dx\) [363]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^p \, dx\) [364]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^3 \, dx\) [365]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^2 \, dx\) [366]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x) \, dx\) [367]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{c-a c x} \, dx\) [368]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^2} \, dx\) [369]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^3} \, dx\) [370]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^4} \, dx\) [371]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{5/2} \, dx\) [372]
   \(\int e^{n \coth ^{-1}(a x)} (c-a c x)^{3/2} \, dx\) [373]
   \(\int e^{n \coth ^{-1}(a x)} \sqrt {c-a c x} \, dx\) [374]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{\sqrt {c-a c x}} \, dx\) [375]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\) [376]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\) [377]
   \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\) [378]
   \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^4 \, dx\) [379]
   \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^3 \, dx\) [380]
   \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^2 \, dx\) [381]
   \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x}) \, dx\) [382]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a x}} \, dx\) [383]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^2} \, dx\) [384]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^3} \, dx\) [385]
   \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^4} \, dx\) [386]
   \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^5 \, dx\) [387]
   \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^4 \, dx\) [388]
   \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^3 \, dx\) [389]
   \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^2 \, dx\) [390]
   \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x}) \, dx\) [391]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a x}} \, dx\) [392]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^2} \, dx\) [393]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^3} \, dx\) [394]
   \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a x})^4} \, dx\) [395]
   \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^4 \, dx\) [396]
   \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^3 \, dx\) [397]
   \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x})^2 \, dx\) [398]
   \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a x}) \, dx\) [399]
   \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a x}} \, dx\) [400]