3.2 Integrals 101 to 174

   \(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x^3 (a+b x^2)^2} \, dx\) [101]
   \(\int \genfrac {}{}{}{}{x^4 (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [102]
   \(\int \genfrac {}{}{}{}{x^3 (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [103]
   \(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{x (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x^2)^3} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x (a+b x^2)^3} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x^2 (a+b x^2)^3} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x^3 (a+b x^2)^3} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{-x+4 x^3}{(5+x^2)^2} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{-x+x^3}{\sqrt {-2+x^2}} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{-x^2+2 x^4}{1+2 x^2} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{x^3+x^4}{1+x^2} \, dx\) [113]
   \(\int \genfrac {}{}{}{}{x^6 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\) [115]
   \(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\) [116]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{a+b x^2} \, dx\) [117]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)} \, dx\) [118]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)} \, dx\) [119]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)} \, dx\) [120]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)} \, dx\) [121]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)} \, dx\) [122]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{12} (a+b x^2)} \, dx\) [123]
   \(\int \genfrac {}{}{}{}{x^6 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\) [124]
   \(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\) [125]
   \(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\) [126]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{(a+b x^2)^2} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)^2} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)^2} \, dx\) [129]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)^2} \, dx\) [130]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)^2} \, dx\) [131]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)^2} \, dx\) [132]
   \(\int \genfrac {}{}{}{}{x^8 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [133]
   \(\int \genfrac {}{}{}{}{x^6 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{(a+b x^2)^3} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)^3} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)^3} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)^3} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)^3} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)^3} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{x^5 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{x^3 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{x (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x \sqrt {a+b x^2}} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^3 \sqrt {a+b x^2}} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^5 \sqrt {a+b x^2}} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^7 \sqrt {a+b x^2}} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^9 \sqrt {a+b x^2}} \, dx\) [150]
   \(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [151]
   \(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [152]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{\sqrt {a+b x^2}} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 \sqrt {a+b x^2}} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 \sqrt {a+b x^2}} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 \sqrt {a+b x^2}} \, dx\) [156]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 \sqrt {a+b x^2}} \, dx\) [157]
   \(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} \sqrt {a+b x^2}} \, dx\) [158]
   \(\int \genfrac {}{}{}{}{x^8 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [159]
   \(\int \genfrac {}{}{}{}{x^6 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [160]
   \(\int \genfrac {}{}{}{}{x^4 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [161]
   \(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [162]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{9/2}} \, dx\) [163]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^2 (a+b x^2)^{9/2}} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^4 (a+b x^2)^{9/2}} \, dx\) [165]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^6 (a+b x^2)^{9/2}} \, dx\) [166]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^8 (a+b x^2)^{9/2}} \, dx\) [167]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^{10} (a+b x^2)^{9/2}} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{c x^5+d x^7+e x^9+f x^{11}}{\sqrt {a+b x^2}} \, dx\) [169]
   \(\int \genfrac {}{}{}{}{c x^3+d x^5+e x^7+f x^9}{\sqrt {a+b x^2}} \, dx\) [170]
   \(\int \genfrac {}{}{}{}{c x+d x^3+e x^5+f x^7}{\sqrt {a+b x^2}} \, dx\) [171]
   \(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6+F x^8)}{(a+b x^2)^{9/2}} \, dx\) [172]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{(a+b x^2)^{9/2}} \, dx\) [173]
   \(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{x^2 (a+b x^2)^{9/2}} \, dx\) [174]