3.2 Integrals 101 to 200

  3.2.1 \(\int x^5 (a+b \tanh ^{-1}(c x^3)) \, dx\) [101]
  3.2.2 \(\int x^2 (a+b \tanh ^{-1}(c x^3)) \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^4} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^7} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^{10}} \, dx\) [106]
  3.2.7 \(\int x^3 (a+b \tanh ^{-1}(c x^3)) \, dx\) [107]
  3.2.8 \(\int (a+b \tanh ^{-1}(c x^3)) \, dx\) [108]
  3.2.9 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^3} \, dx\) [109]
  3.2.10 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^6} \, dx\) [110]
  3.2.11 \(\int x^7 (a+b \tanh ^{-1}(c x^3)) \, dx\) [111]
  3.2.12 \(\int x^4 (a+b \tanh ^{-1}(c x^3)) \, dx\) [112]
  3.2.13 \(\int x (a+b \tanh ^{-1}(c x^3)) \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^2} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c x^3)}{x^5} \, dx\) [115]
  3.2.16 \(\int x^{11} (a+b \tanh ^{-1}(c x^3))^2 \, dx\) [116]
  3.2.17 \(\int x^8 (a+b \tanh ^{-1}(c x^3))^2 \, dx\) [117]
  3.2.18 \(\int x^5 (a+b \tanh ^{-1}(c x^3))^2 \, dx\) [118]
  3.2.19 \(\int x^2 (a+b \tanh ^{-1}(c x^3))^2 \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^2}{x} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^2}{x^4} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^2}{x^7} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^2}{x^{10}} \, dx\) [123]
  3.2.24 \(\int x^8 (a+b \tanh ^{-1}(c x^3))^3 \, dx\) [124]
  3.2.25 \(\int x^5 (a+b \tanh ^{-1}(c x^3))^3 \, dx\) [125]
  3.2.26 \(\int x^2 (a+b \tanh ^{-1}(c x^3))^3 \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^3}{x} \, dx\) [127]
  3.2.28 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^3}{x^4} \, dx\) [128]
  3.2.29 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c x^3))^3}{x^7} \, dx\) [129]
  3.2.30 \(\int (d x)^m (a+b \tanh ^{-1}(c x^3))^3 \, dx\) [130]
  3.2.31 \(\int (d x)^m (a+b \tanh ^{-1}(c x^3))^2 \, dx\) [131]
  3.2.32 \(\int (d x)^m (a+b \tanh ^{-1}(c x^3)) \, dx\) [132]
  3.2.33 \(\int \genfrac {}{}{}{}{(d x)^m}{a+b \tanh ^{-1}(c x^3)} \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \tanh ^{-1}(c x^3))^2} \, dx\) [134]
  3.2.35 \(\int x^3 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})) \, dx\) [135]
  3.2.36 \(\int x^2 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})) \, dx\) [136]
  3.2.37 \(\int x (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})) \, dx\) [137]
  3.2.38 \(\int (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})) \, dx\) [138]
  3.2.39 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})}{x} \, dx\) [139]
  3.2.40 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})}{x^2} \, dx\) [140]
  3.2.41 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})}{x^3} \, dx\) [141]
  3.2.42 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x})}{x^4} \, dx\) [142]
  3.2.43 \(\int x^3 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [143]
  3.2.44 \(\int x^2 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [144]
  3.2.45 \(\int x (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [145]
  3.2.46 \(\int (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2 \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2}{x} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2}{x^2} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^2}{x^3} \, dx\) [149]
  3.2.50 \(\int x^3 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [150]
  3.2.51 \(\int x^2 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [151]
  3.2.52 \(\int x (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [152]
  3.2.53 \(\int (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3 \, dx\) [153]
  3.2.54 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3}{x} \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3}{x^2} \, dx\) [155]
  3.2.56 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x}))^3}{x^3} \, dx\) [156]
  3.2.57 \(\int x^7 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [157]
  3.2.58 \(\int x^5 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [158]
  3.2.59 \(\int x^3 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [159]
  3.2.60 \(\int x (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [160]
  3.2.61 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x} \, dx\) [161]
  3.2.62 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x^3} \, dx\) [162]
  3.2.63 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x^5} \, dx\) [163]
  3.2.64 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x^7} \, dx\) [164]
  3.2.65 \(\int x^4 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [165]
  3.2.66 \(\int x^2 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [166]
  3.2.67 \(\int (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [167]
  3.2.68 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x^2} \, dx\) [168]
  3.2.69 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x^4} \, dx\) [169]
  3.2.70 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})}{x^6} \, dx\) [170]
  3.2.71 \(\int x^3 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2 \, dx\) [171]
  3.2.72 \(\int x (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2 \, dx\) [172]
  3.2.73 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2}{x} \, dx\) [173]
  3.2.74 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2}{x^3} \, dx\) [174]
  3.2.75 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2}{x^5} \, dx\) [175]
  3.2.76 \(\int x^4 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2 \, dx\) [176]
  3.2.77 \(\int x^2 (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2 \, dx\) [177]
  3.2.78 \(\int (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2 \, dx\) [178]
  3.2.79 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2}{x^2} \, dx\) [179]
  3.2.80 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2}{x^4} \, dx\) [180]
  3.2.81 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2}{x^6} \, dx\) [181]
  3.2.82 \(\int (d x)^m (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^3 \, dx\) [182]
  3.2.83 \(\int (d x)^m (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2 \, dx\) [183]
  3.2.84 \(\int (d x)^m (a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})) \, dx\) [184]
  3.2.85 \(\int \genfrac {}{}{}{}{(d x)^m}{a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2})} \, dx\) [185]
  3.2.86 \(\int \genfrac {}{}{}{}{(d x)^m}{(a+b \tanh ^{-1}(\genfrac {}{}{}{}{c}{x^2}))^2} \, dx\) [186]
  3.2.87 \(\int x^3 (a+b \tanh ^{-1}(c \sqrt {x})) \, dx\) [187]
  3.2.88 \(\int x^2 (a+b \tanh ^{-1}(c \sqrt {x})) \, dx\) [188]
  3.2.89 \(\int x (a+b \tanh ^{-1}(c \sqrt {x})) \, dx\) [189]
  3.2.90 \(\int (a+b \tanh ^{-1}(c \sqrt {x})) \, dx\) [190]
  3.2.91 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c \sqrt {x})}{x} \, dx\) [191]
  3.2.92 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c \sqrt {x})}{x^2} \, dx\) [192]
  3.2.93 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c \sqrt {x})}{x^3} \, dx\) [193]
  3.2.94 \(\int \genfrac {}{}{}{}{a+b \tanh ^{-1}(c \sqrt {x})}{x^4} \, dx\) [194]
  3.2.95 \(\int x^3 (a+b \tanh ^{-1}(c \sqrt {x}))^2 \, dx\) [195]
  3.2.96 \(\int x^2 (a+b \tanh ^{-1}(c \sqrt {x}))^2 \, dx\) [196]
  3.2.97 \(\int x (a+b \tanh ^{-1}(c \sqrt {x}))^2 \, dx\) [197]
  3.2.98 \(\int (a+b \tanh ^{-1}(c \sqrt {x}))^2 \, dx\) [198]
  3.2.99 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c \sqrt {x}))^2}{x} \, dx\) [199]
  3.2.100 \(\int \genfrac {}{}{}{}{(a+b \tanh ^{-1}(c \sqrt {x}))^2}{x^2} \, dx\) [200]