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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]
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