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