3.2 Integrals 101 to 156

  3.2.1 \(\int \genfrac {}{}{}{}{x^2}{\sinh ^{-1}(a x)^{3/2}} \, dx\) [101]
  3.2.2 \(\int \genfrac {}{}{}{}{x}{\sinh ^{-1}(a x)^{3/2}} \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{1}{\sinh ^{-1}(a x)^{3/2}} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{1}{x \sinh ^{-1}(a x)^{3/2}} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{x^4}{\sinh ^{-1}(a x)^{5/2}} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{x^3}{\sinh ^{-1}(a x)^{5/2}} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{x^2}{\sinh ^{-1}(a x)^{5/2}} \, dx\) [107]
  3.2.8 \(\int \genfrac {}{}{}{}{x}{\sinh ^{-1}(a x)^{5/2}} \, dx\) [108]
  3.2.9 \(\int \genfrac {}{}{}{}{1}{\sinh ^{-1}(a x)^{5/2}} \, dx\) [109]
  3.2.10 \(\int \genfrac {}{}{}{}{1}{x \sinh ^{-1}(a x)^{5/2}} \, dx\) [110]
  3.2.11 \(\int \genfrac {}{}{}{}{x^4}{\sinh ^{-1}(a x)^{7/2}} \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{x^3}{\sinh ^{-1}(a x)^{7/2}} \, dx\) [112]
  3.2.13 \(\int \genfrac {}{}{}{}{x^2}{\sinh ^{-1}(a x)^{7/2}} \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{x}{\sinh ^{-1}(a x)^{7/2}} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{1}{\sinh ^{-1}(a x)^{7/2}} \, dx\) [115]
  3.2.16 \(\int \genfrac {}{}{}{}{1}{x \sinh ^{-1}(a x)^{7/2}} \, dx\) [116]
  3.2.17 \(\int x^m \sinh ^{-1}(a x)^4 \, dx\) [117]
  3.2.18 \(\int x^m \sinh ^{-1}(a x)^3 \, dx\) [118]
  3.2.19 \(\int x^m \sinh ^{-1}(a x)^2 \, dx\) [119]
  3.2.20 \(\int x^m \sinh ^{-1}(a x) \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{x^m}{\sinh ^{-1}(a x)} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{x^m}{\sinh ^{-1}(a x)^2} \, dx\) [122]
  3.2.23 \(\int x^m \sinh ^{-1}(a x)^{5/2} \, dx\) [123]
  3.2.24 \(\int x^m \sinh ^{-1}(a x)^{3/2} \, dx\) [124]
  3.2.25 \(\int x^m \sqrt {\sinh ^{-1}(a x)} \, dx\) [125]
  3.2.26 \(\int \genfrac {}{}{}{}{x^m}{\sqrt {\sinh ^{-1}(a x)}} \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{x^m}{\sinh ^{-1}(a x)^{3/2}} \, dx\) [127]
  3.2.28 \(\int (b x)^m \sinh ^{-1}(a x)^n \, dx\) [128]
  3.2.29 \(\int x^4 \sinh ^{-1}(a x)^n \, dx\) [129]
  3.2.30 \(\int x^3 \sinh ^{-1}(a x)^n \, dx\) [130]
  3.2.31 \(\int x^2 \sinh ^{-1}(a x)^n \, dx\) [131]
  3.2.32 \(\int x \sinh ^{-1}(a x)^n \, dx\) [132]
  3.2.33 \(\int \sinh ^{-1}(a x)^n \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{\sinh ^{-1}(a x)^n}{x} \, dx\) [134]
  3.2.35 \(\int \genfrac {}{}{}{}{\sinh ^{-1}(a x)^n}{x^2} \, dx\) [135]
  3.2.36 \(\int x^2 \sqrt {a+b \sinh ^{-1}(c x)} \, dx\) [136]
  3.2.37 \(\int x \sqrt {a+b \sinh ^{-1}(c x)} \, dx\) [137]
  3.2.38 \(\int \sqrt {a+b \sinh ^{-1}(c x)} \, dx\) [138]
  3.2.39 \(\int x^2 (a+b \sinh ^{-1}(c x))^{3/2} \, dx\) [139]
  3.2.40 \(\int x (a+b \sinh ^{-1}(c x))^{3/2} \, dx\) [140]
  3.2.41 \(\int (a+b \sinh ^{-1}(c x))^{3/2} \, dx\) [141]
  3.2.42 \(\int x^2 (a+b \sinh ^{-1}(c x))^{5/2} \, dx\) [142]
  3.2.43 \(\int x (a+b \sinh ^{-1}(c x))^{5/2} \, dx\) [143]
  3.2.44 \(\int (a+b \sinh ^{-1}(c x))^{5/2} \, dx\) [144]
  3.2.45 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [145]
  3.2.46 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sinh ^{-1}(c x)}} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{x}{(a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [149]
  3.2.50 \(\int \genfrac {}{}{}{}{1}{(a+b \sinh ^{-1}(c x))^{3/2}} \, dx\) [150]
  3.2.51 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sinh ^{-1}(c x))^{5/2}} \, dx\) [151]
  3.2.52 \(\int \genfrac {}{}{}{}{x}{(a+b \sinh ^{-1}(c x))^{5/2}} \, dx\) [152]
  3.2.53 \(\int \genfrac {}{}{}{}{1}{(a+b \sinh ^{-1}(c x))^{5/2}} \, dx\) [153]
  3.2.54 \(\int \genfrac {}{}{}{}{x^2}{(a+b \sinh ^{-1}(c x))^{7/2}} \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{x}{(a+b \sinh ^{-1}(c x))^{7/2}} \, dx\) [155]
  3.2.56 \(\int \genfrac {}{}{}{}{1}{(a+b \sinh ^{-1}(c x))^{7/2}} \, dx\) [156]