3.8.1 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{5/2}} \, dx\) [701]
3.8.2 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{5/2}} \, dx\) [702]
3.8.3 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)} x}{(c-a^2 c x^2)^{5/2}} \, dx\) [703]
3.8.4 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [704]
3.8.5 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{x (c-a^2 c x^2)^{5/2}} \, dx\) [705]
3.8.6 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{5/2}} \, dx\) [706]
3.8.7 \(\int e^{-\coth ^{-1}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [707]
3.8.8 \(\int e^{-\coth ^{-1}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [708]
3.8.9 \(\int e^{-\coth ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [709]
3.8.10 \(\int \genfrac {}{}{}{}{e^{-\coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [710]
3.8.11 \(\int \genfrac {}{}{}{}{e^{-\coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [711]
3.8.12 \(\int e^{-2 \coth ^{-1}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [712]
3.8.13 \(\int e^{-2 \coth ^{-1}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [713]
3.8.14 \(\int e^{-2 \coth ^{-1}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [714]
3.8.15 \(\int e^{-2 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [715]
3.8.16 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [716]
3.8.17 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [717]
3.8.18 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [718]
3.8.19 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [719]
3.8.20 \(\int \genfrac {}{}{}{}{e^{-2 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [720]
3.8.21 \(\int e^{-3 \coth ^{-1}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [721]
3.8.22 \(\int e^{-3 \coth ^{-1}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [722]
3.8.23 \(\int e^{-3 \coth ^{-1}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [723]
3.8.24 \(\int e^{-3 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [724]
3.8.25 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [725]
3.8.26 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [726]
3.8.27 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [727]
3.8.28 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [728]
3.8.29 \(\int \genfrac {}{}{}{}{e^{-3 \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [729]
3.8.30 \(\int e^{3 \coth ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [730]
3.8.31 \(\int e^{2 \coth ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [731]
3.8.32 \(\int e^{\coth ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [732]
3.8.33 \(\int e^{-\coth ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [733]
3.8.34 \(\int e^{-2 \coth ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [734]
3.8.35 \(\int e^{-3 \coth ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [735]
3.8.36 \(\int e^{n \coth ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\) [736]
3.8.37 \(\int e^{n \coth ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\) [737]
3.8.38 \(\int e^{n \coth ^{-1}(a x)} (c-a^2 c x^2) \, dx\) [738]
3.8.39 \(\int e^{n \coth ^{-1}(a x)} \, dx\) [739]
3.8.40 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{c-a^2 c x^2} \, dx\) [740]
3.8.41 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [741]
3.8.42 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [742]
3.8.43 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [743]
3.8.44 \(\int e^{n \coth ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [744]
3.8.45 \(\int e^{n \coth ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [745]
3.8.46 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [746]
3.8.47 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [747]
3.8.48 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [748]
3.8.49 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [749]
3.8.50 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^{9/2}} \, dx\) [750]
3.8.51 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\) [751]
3.8.52 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [752]
3.8.53 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\) [753]
3.8.54 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [754]
3.8.55 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\) [755]
3.8.56 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x^4}{(c-a^2 c x^2)^{5/2}} \, dx\) [756]
3.8.57 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{5/2}} \, dx\) [757]
3.8.58 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{5/2}} \, dx\) [758]
3.8.59 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)} x}{(c-a^2 c x^2)^{5/2}} \, dx\) [759]
3.8.60 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [760]
3.8.61 \(\int \genfrac {}{}{}{}{e^{n \coth ^{-1}(a x)}}{x (c-a^2 c x^2)^{5/2}} \, dx\) [761]
3.8.62 \(\int e^{n \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [762]
3.8.63 \(\int e^{2 p \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [763]
3.8.64 \(\int e^{-2 p \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [764]
3.8.65 \(\int e^{4 \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [765]
3.8.66 \(\int e^{3 \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [766]
3.8.67 \(\int e^{2 \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [767]
3.8.68 \(\int e^{\coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [768]
3.8.69 \(\int e^{-\coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [769]
3.8.70 \(\int e^{-2 \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [770]
3.8.71 \(\int e^{-3 \coth ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [771]
3.8.72 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^4 \, dx\) [772]
3.8.73 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^3 \, dx\) [773]
3.8.74 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^2 \, dx\) [774]
3.8.75 \(\int e^{\coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2}) \, dx\) [775]
3.8.76 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a^2 x^2}} \, dx\) [776]
3.8.77 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^2} \, dx\) [777]
3.8.78 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^3} \, dx\) [778]
3.8.79 \(\int \genfrac {}{}{}{}{e^{\coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^4} \, dx\) [779]
3.8.80 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^5 \, dx\) [780]
3.8.81 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^4 \, dx\) [781]
3.8.82 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^3 \, dx\) [782]
3.8.83 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^2 \, dx\) [783]
3.8.84 \(\int e^{2 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2}) \, dx\) [784]
3.8.85 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a^2 x^2}} \, dx\) [785]
3.8.86 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^2} \, dx\) [786]
3.8.87 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^3} \, dx\) [787]
3.8.88 \(\int \genfrac {}{}{}{}{e^{2 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^4} \, dx\) [788]
3.8.89 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^4 \, dx\) [789]
3.8.90 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^3 \, dx\) [790]
3.8.91 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^2 \, dx\) [791]
3.8.92 \(\int e^{3 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2}) \, dx\) [792]
3.8.93 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)}}{c-\genfrac {}{}{}{}{c}{a^2 x^2}} \, dx\) [793]
3.8.94 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^2} \, dx\) [794]
3.8.95 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^3} \, dx\) [795]
3.8.96 \(\int \genfrac {}{}{}{}{e^{3 \coth ^{-1}(a x)}}{(c-\genfrac {}{}{}{}{c}{a^2 x^2})^4} \, dx\) [796]
3.8.97 \(\int e^{4 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^5 \, dx\) [797]
3.8.98 \(\int e^{4 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^4 \, dx\) [798]
3.8.99 \(\int e^{4 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^3 \, dx\) [799]
3.8.100 \(\int e^{4 \coth ^{-1}(a x)} (c-\genfrac {}{}{}{}{c}{a^2 x^2})^2 \, dx\) [800]