3.2 Integrals 101 to 200

  3.2.1 \(\int \genfrac {}{}{}{}{(A+B x^2) (a+b x^2+c x^4)^3}{x^3} \, dx\) [101]
  3.2.2 \(\int \genfrac {}{}{}{}{x^5 (A+B x^2)}{a+b x^2+c x^4} \, dx\) [102]
  3.2.3 \(\int \genfrac {}{}{}{}{x^3 (A+B x^2)}{a+b x^2+c x^4} \, dx\) [103]
  3.2.4 \(\int \genfrac {}{}{}{}{x (A+B x^2)}{a+b x^2+c x^4} \, dx\) [104]
  3.2.5 \(\int \genfrac {}{}{}{}{A+B x^2}{x (a+b x^2+c x^4)} \, dx\) [105]
  3.2.6 \(\int \genfrac {}{}{}{}{A+B x^2}{x^3 (a+b x^2+c x^4)} \, dx\) [106]
  3.2.7 \(\int \genfrac {}{}{}{}{x^4 (A+B x^2)}{a+b x^2+c x^4} \, dx\) [107]
  3.2.8 \(\int \genfrac {}{}{}{}{x^2 (A+B x^2)}{a+b x^2+c x^4} \, dx\) [108]
  3.2.9 \(\int \genfrac {}{}{}{}{A+B x^2}{a+b x^2+c x^4} \, dx\) [109]
  3.2.10 \(\int \genfrac {}{}{}{}{A+B x^2}{x^2 (a+b x^2+c x^4)} \, dx\) [110]
  3.2.11 \(\int \genfrac {}{}{}{}{A+B x^2}{x^4 (a+b x^2+c x^4)} \, dx\) [111]
  3.2.12 \(\int \genfrac {}{}{}{}{x^7 (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [112]
  3.2.13 \(\int \genfrac {}{}{}{}{x^5 (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [113]
  3.2.14 \(\int \genfrac {}{}{}{}{x^3 (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [114]
  3.2.15 \(\int \genfrac {}{}{}{}{x (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [115]
  3.2.16 \(\int \genfrac {}{}{}{}{A+B x^2}{x (a+b x^2+c x^4)^2} \, dx\) [116]
  3.2.17 \(\int \genfrac {}{}{}{}{A+B x^2}{x^3 (a+b x^2+c x^4)^2} \, dx\) [117]
  3.2.18 \(\int \genfrac {}{}{}{}{x^6 (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [118]
  3.2.19 \(\int \genfrac {}{}{}{}{x^4 (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [119]
  3.2.20 \(\int \genfrac {}{}{}{}{x^2 (A+B x^2)}{(a+b x^2+c x^4)^2} \, dx\) [120]
  3.2.21 \(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2+c x^4)^2} \, dx\) [121]
  3.2.22 \(\int \genfrac {}{}{}{}{A+B x^2}{x^2 (a+b x^2+c x^4)^2} \, dx\) [122]
  3.2.23 \(\int \genfrac {}{}{}{}{A+B x^2}{x^4 (a+b x^2+c x^4)^2} \, dx\) [123]
  3.2.24 \(\int \genfrac {}{}{}{}{x^{11} (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [124]
  3.2.25 \(\int \genfrac {}{}{}{}{x^9 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [125]
  3.2.26 \(\int \genfrac {}{}{}{}{x^7 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [126]
  3.2.27 \(\int \genfrac {}{}{}{}{x^5 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [127]
  3.2.28 \(\int \genfrac {}{}{}{}{x^3 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [128]
  3.2.29 \(\int \genfrac {}{}{}{}{x (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [129]
  3.2.30 \(\int \genfrac {}{}{}{}{A+B x^2}{x (a+b x^2+c x^4)^3} \, dx\) [130]
  3.2.31 \(\int \genfrac {}{}{}{}{A+B x^2}{x^3 (a+b x^2+c x^4)^3} \, dx\) [131]
  3.2.32 \(\int \genfrac {}{}{}{}{x^8 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [132]
  3.2.33 \(\int \genfrac {}{}{}{}{x^6 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [133]
  3.2.34 \(\int \genfrac {}{}{}{}{x^4 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [134]
  3.2.35 \(\int \genfrac {}{}{}{}{x^2 (A+B x^2)}{(a+b x^2+c x^4)^3} \, dx\) [135]
  3.2.36 \(\int \genfrac {}{}{}{}{A+B x^2}{(a+b x^2+c x^4)^3} \, dx\) [136]
  3.2.37 \(\int \genfrac {}{}{}{}{x (-7+4 x^2)}{4-5 x^2+x^4} \, dx\) [137]
  3.2.38 \(\int \genfrac {}{}{}{}{-7 x+4 x^3}{4-5 x^2+x^4} \, dx\) [138]
  3.2.39 \(\int \genfrac {}{}{}{}{x (2+x^2)}{1+x^2+x^4} \, dx\) [139]
  3.2.40 \(\int \genfrac {}{}{}{}{2 x+x^3}{1+x^2+x^4} \, dx\) [140]
  3.2.41 \(\int \genfrac {}{}{}{}{11 x+2 x^3}{(3+2 x^2+x^4)^2} \, dx\) [141]
  3.2.42 \(\int x^5 (2+3 x^2) \sqrt {3+5 x^2+x^4} \, dx\) [142]
  3.2.43 \(\int x^3 (2+3 x^2) \sqrt {3+5 x^2+x^4} \, dx\) [143]
  3.2.44 \(\int x (2+3 x^2) \sqrt {3+5 x^2+x^4} \, dx\) [144]
  3.2.45 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x} \, dx\) [145]
  3.2.46 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^3} \, dx\) [146]
  3.2.47 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^5} \, dx\) [147]
  3.2.48 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^7} \, dx\) [148]
  3.2.49 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^9} \, dx\) [149]
  3.2.50 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^{11}} \, dx\) [150]
  3.2.51 \(\int x^4 (2+3 x^2) \sqrt {3+5 x^2+x^4} \, dx\) [151]
  3.2.52 \(\int x^2 (2+3 x^2) \sqrt {3+5 x^2+x^4} \, dx\) [152]
  3.2.53 \(\int (2+3 x^2) \sqrt {3+5 x^2+x^4} \, dx\) [153]
  3.2.54 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^2} \, dx\) [154]
  3.2.55 \(\int \genfrac {}{}{}{}{(2+3 x^2) \sqrt {3+5 x^2+x^4}}{x^4} \, dx\) [155]
  3.2.56 \(\int x^5 (2+3 x^2) (3+5 x^2+x^4)^{3/2} \, dx\) [156]
  3.2.57 \(\int x^3 (2+3 x^2) (3+5 x^2+x^4)^{3/2} \, dx\) [157]
  3.2.58 \(\int x (2+3 x^2) (3+5 x^2+x^4)^{3/2} \, dx\) [158]
  3.2.59 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x} \, dx\) [159]
  3.2.60 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x^3} \, dx\) [160]
  3.2.61 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x^5} \, dx\) [161]
  3.2.62 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x^7} \, dx\) [162]
  3.2.63 \(\int x^4 (2+3 x^2) (3+5 x^2+x^4)^{3/2} \, dx\) [163]
  3.2.64 \(\int x^2 (2+3 x^2) (3+5 x^2+x^4)^{3/2} \, dx\) [164]
  3.2.65 \(\int (2+3 x^2) (3+5 x^2+x^4)^{3/2} \, dx\) [165]
  3.2.66 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x^2} \, dx\) [166]
  3.2.67 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x^4} \, dx\) [167]
  3.2.68 \(\int \genfrac {}{}{}{}{(2+3 x^2) (3+5 x^2+x^4)^{3/2}}{x^6} \, dx\) [168]
  3.2.69 \(\int \genfrac {}{}{}{}{x^5 (A+B x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [169]
  3.2.70 \(\int \genfrac {}{}{}{}{x^3 (A+B x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [170]
  3.2.71 \(\int \genfrac {}{}{}{}{x (A+B x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [171]
  3.2.72 \(\int \genfrac {}{}{}{}{A+B x^2}{x \sqrt {a+b x^2+c x^4}} \, dx\) [172]
  3.2.73 \(\int \genfrac {}{}{}{}{A+B x^2}{x^3 \sqrt {a+b x^2+c x^4}} \, dx\) [173]
  3.2.74 \(\int \genfrac {}{}{}{}{A+B x^2}{x^5 \sqrt {a+b x^2+c x^4}} \, dx\) [174]
  3.2.75 \(\int \genfrac {}{}{}{}{A+B x^2}{x^7 \sqrt {a+b x^2+c x^4}} \, dx\) [175]
  3.2.76 \(\int \genfrac {}{}{}{}{x^4 (A+B x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [176]
  3.2.77 \(\int \genfrac {}{}{}{}{x^2 (A+B x^2)}{\sqrt {a+b x^2+c x^4}} \, dx\) [177]
  3.2.78 \(\int \genfrac {}{}{}{}{A+B x^2}{\sqrt {a+b x^2+c x^4}} \, dx\) [178]
  3.2.79 \(\int \genfrac {}{}{}{}{A+B x^2}{x^2 \sqrt {a+b x^2+c x^4}} \, dx\) [179]
  3.2.80 \(\int \genfrac {}{}{}{}{A+B x^2}{x^4 \sqrt {a+b x^2+c x^4}} \, dx\) [180]
  3.2.81 \(\int \genfrac {}{}{}{}{x^7 (2+3 x^2)}{\sqrt {3+5 x^2+x^4}} \, dx\) [181]
  3.2.82 \(\int \genfrac {}{}{}{}{x^5 (2+3 x^2)}{\sqrt {3+5 x^2+x^4}} \, dx\) [182]
  3.2.83 \(\int \genfrac {}{}{}{}{x^3 (2+3 x^2)}{\sqrt {3+5 x^2+x^4}} \, dx\) [183]
  3.2.84 \(\int \genfrac {}{}{}{}{x (2+3 x^2)}{\sqrt {3+5 x^2+x^4}} \, dx\) [184]
  3.2.85 \(\int \genfrac {}{}{}{}{2+3 x^2}{x \sqrt {3+5 x^2+x^4}} \, dx\) [185]
  3.2.86 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^3 \sqrt {3+5 x^2+x^4}} \, dx\) [186]
  3.2.87 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^5 \sqrt {3+5 x^2+x^4}} \, dx\) [187]
  3.2.88 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^7 \sqrt {3+5 x^2+x^4}} \, dx\) [188]
  3.2.89 \(\int \genfrac {}{}{}{}{x^4 (2+3 x^2)}{\sqrt {3+5 x^2+x^4}} \, dx\) [189]
  3.2.90 \(\int \genfrac {}{}{}{}{x^2 (2+3 x^2)}{\sqrt {3+5 x^2+x^4}} \, dx\) [190]
  3.2.91 \(\int \genfrac {}{}{}{}{2+3 x^2}{\sqrt {3+5 x^2+x^4}} \, dx\) [191]
  3.2.92 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^2 \sqrt {3+5 x^2+x^4}} \, dx\) [192]
  3.2.93 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^4 \sqrt {3+5 x^2+x^4}} \, dx\) [193]
  3.2.94 \(\int \genfrac {}{}{}{}{x^5 (2+3 x^2)}{(3+5 x^2+x^4)^{3/2}} \, dx\) [194]
  3.2.95 \(\int \genfrac {}{}{}{}{x^3 (2+3 x^2)}{(3+5 x^2+x^4)^{3/2}} \, dx\) [195]
  3.2.96 \(\int \genfrac {}{}{}{}{x (2+3 x^2)}{(3+5 x^2+x^4)^{3/2}} \, dx\) [196]
  3.2.97 \(\int \genfrac {}{}{}{}{2+3 x^2}{x (3+5 x^2+x^4)^{3/2}} \, dx\) [197]
  3.2.98 \(\int \genfrac {}{}{}{}{2+3 x^2}{x^3 (3+5 x^2+x^4)^{3/2}} \, dx\) [198]
  3.2.99 \(\int \genfrac {}{}{}{}{x^4 (2+3 x^2)}{(3+5 x^2+x^4)^{3/2}} \, dx\) [199]
  3.2.100 \(\int \genfrac {}{}{}{}{x^2 (2+3 x^2)}{(3+5 x^2+x^4)^{3/2}} \, dx\) [200]