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3.2
Integrals 101 to 174
3.2.1
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x^3 (a+b x^2)^2} \, dx\) [101]
3.2.2
\(\int \genfrac {}{}{}{}{x^4 (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [102]
3.2.3
\(\int \genfrac {}{}{}{}{x^3 (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [103]
3.2.4
\(\int \genfrac {}{}{}{}{x^2 (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [104]
3.2.5
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2+D x^3)}{(a+b x^2)^3} \, dx\) [105]
3.2.6
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x^2)^3} \, dx\) [106]
3.2.7
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x (a+b x^2)^3} \, dx\) [107]
3.2.8
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x^2 (a+b x^2)^3} \, dx\) [108]
3.2.9
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{x^3 (a+b x^2)^3} \, dx\) [109]
3.2.10
\(\int \genfrac {}{}{}{}{-x+4 x^3}{(5+x^2)^2} \, dx\) [110]
3.2.11
\(\int \genfrac {}{}{}{}{-x+x^3}{\sqrt {-2+x^2}} \, dx\) [111]
3.2.12
\(\int \genfrac {}{}{}{}{-x^2+2 x^4}{1+2 x^2} \, dx\) [112]
3.2.13
\(\int \genfrac {}{}{}{}{x^3+x^4}{1+x^2} \, dx\) [113]
3.2.14
\(\int \genfrac {}{}{}{}{x^6 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\) [114]
3.2.15
\(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\) [115]
3.2.16
\(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{a+b x^2} \, dx\) [116]
3.2.17
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{a+b x^2} \, dx\) [117]
3.2.18
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)} \, dx\) [118]
3.2.19
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)} \, dx\) [119]
3.2.20
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)} \, dx\) [120]
3.2.21
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)} \, dx\) [121]
3.2.22
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)} \, dx\) [122]
3.2.23
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{12} (a+b x^2)} \, dx\) [123]
3.2.24
\(\int \genfrac {}{}{}{}{x^6 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\) [124]
3.2.25
\(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\) [125]
3.2.26
\(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^2} \, dx\) [126]
3.2.27
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{(a+b x^2)^2} \, dx\) [127]
3.2.28
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)^2} \, dx\) [128]
3.2.29
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)^2} \, dx\) [129]
3.2.30
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)^2} \, dx\) [130]
3.2.31
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)^2} \, dx\) [131]
3.2.32
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)^2} \, dx\) [132]
3.2.33
\(\int \genfrac {}{}{}{}{x^8 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [133]
3.2.34
\(\int \genfrac {}{}{}{}{x^6 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [134]
3.2.35
\(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [135]
3.2.36
\(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{(a+b x^2)^3} \, dx\) [136]
3.2.37
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{(a+b x^2)^3} \, dx\) [137]
3.2.38
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 (a+b x^2)^3} \, dx\) [138]
3.2.39
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 (a+b x^2)^3} \, dx\) [139]
3.2.40
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 (a+b x^2)^3} \, dx\) [140]
3.2.41
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 (a+b x^2)^3} \, dx\) [141]
3.2.42
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} (a+b x^2)^3} \, dx\) [142]
3.2.43
\(\int \genfrac {}{}{}{}{x^5 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [143]
3.2.44
\(\int \genfrac {}{}{}{}{x^3 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [144]
3.2.45
\(\int \genfrac {}{}{}{}{x (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [145]
3.2.46
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x \sqrt {a+b x^2}} \, dx\) [146]
3.2.47
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^3 \sqrt {a+b x^2}} \, dx\) [147]
3.2.48
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^5 \sqrt {a+b x^2}} \, dx\) [148]
3.2.49
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^7 \sqrt {a+b x^2}} \, dx\) [149]
3.2.50
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^9 \sqrt {a+b x^2}} \, dx\) [150]
3.2.51
\(\int \genfrac {}{}{}{}{x^4 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [151]
3.2.52
\(\int \genfrac {}{}{}{}{x^2 (c+d x^2+e x^4+f x^6)}{\sqrt {a+b x^2}} \, dx\) [152]
3.2.53
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{\sqrt {a+b x^2}} \, dx\) [153]
3.2.54
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^2 \sqrt {a+b x^2}} \, dx\) [154]
3.2.55
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^4 \sqrt {a+b x^2}} \, dx\) [155]
3.2.56
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^6 \sqrt {a+b x^2}} \, dx\) [156]
3.2.57
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^8 \sqrt {a+b x^2}} \, dx\) [157]
3.2.58
\(\int \genfrac {}{}{}{}{c+d x^2+e x^4+f x^6}{x^{10} \sqrt {a+b x^2}} \, dx\) [158]
3.2.59
\(\int \genfrac {}{}{}{}{x^8 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [159]
3.2.60
\(\int \genfrac {}{}{}{}{x^6 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [160]
3.2.61
\(\int \genfrac {}{}{}{}{x^4 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [161]
3.2.62
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6)}{(a+b x^2)^{9/2}} \, dx\) [162]
3.2.63
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{(a+b x^2)^{9/2}} \, dx\) [163]
3.2.64
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^2 (a+b x^2)^{9/2}} \, dx\) [164]
3.2.65
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^4 (a+b x^2)^{9/2}} \, dx\) [165]
3.2.66
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^6 (a+b x^2)^{9/2}} \, dx\) [166]
3.2.67
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^8 (a+b x^2)^{9/2}} \, dx\) [167]
3.2.68
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6}{x^{10} (a+b x^2)^{9/2}} \, dx\) [168]
3.2.69
\(\int \genfrac {}{}{}{}{c x^5+d x^7+e x^9+f x^{11}}{\sqrt {a+b x^2}} \, dx\) [169]
3.2.70
\(\int \genfrac {}{}{}{}{c x^3+d x^5+e x^7+f x^9}{\sqrt {a+b x^2}} \, dx\) [170]
3.2.71
\(\int \genfrac {}{}{}{}{c x+d x^3+e x^5+f x^7}{\sqrt {a+b x^2}} \, dx\) [171]
3.2.72
\(\int \genfrac {}{}{}{}{x^2 (A+B x^2+C x^4+D x^6+F x^8)}{(a+b x^2)^{9/2}} \, dx\) [172]
3.2.73
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{(a+b x^2)^{9/2}} \, dx\) [173]
3.2.74
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4+D x^6+F x^8}{x^2 (a+b x^2)^{9/2}} \, dx\) [174]
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