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3.2
Integrals 101 to 168
\(\int \genfrac {}{}{}{}{(c+d x)^3 (A+B x+C x^2+D x^3)}{\sqrt {a+b x^2}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{(c+d x)^2 (A+B x+C x^2+D x^3)}{\sqrt {a+b x^2}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{(c+d x) (A+B x+C x^2+D x^3)}{\sqrt {a+b x^2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {a+b x^2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x) \sqrt {a+b x^2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^2 \sqrt {a+b x^2}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^3 \sqrt {a+b x^2}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{(c+d x)^3 (A+B x+C x^2+D x^3)}{(a+b x^2)^{3/2}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{(c+d x)^2 (A+B x+C x^2+D x^3)}{(a+b x^2)^{3/2}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(c+d x) (A+B x+C x^2+D x^3)}{(a+b x^2)^{3/2}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x^2)^{3/2}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x) (a+b x^2)^{3/2}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^2 (a+b x^2)^{3/2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^3 (a+b x^2)^{3/2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x^2)^{5/2}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x^2)^{7/2}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x^2)^{9/2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{(1+2 x)^3 (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{(1+2 x)^2 (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{(1+2 x) (1+3 x+4 x^2)}{\sqrt {2+3 x^2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x) \sqrt {2+3 x^2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^2 \sqrt {2+3 x^2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^3 \sqrt {2+3 x^2}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{3/2}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{3/2}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{3/2}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{3/2}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{(1+2 x)^3 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{(1+2 x)^2 (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{(1+2 x) (1+3 x+4 x^2)}{(2+3 x^2)^{5/2}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x) (2+3 x^2)^{5/2}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^2 (2+3 x^2)^{5/2}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{1+3 x+4 x^2}{(1+2 x)^3 (2+3 x^2)^{5/2}} \, dx\) [135]
\(\int \sqrt {c+d x} \sqrt {a-b x^2} (A+B x+C x^2+D x^3) \, dx\) [136]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} (A+B x+C x^2+D x^3)}{\sqrt {c+d x}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} (A+B x+C x^2+D x^3)}{(c+d x)^{7/2}} \, dx\) [140]
\(\int \sqrt {c+d x} (a-b x^2)^{3/2} (A+B x+C x^2+D x^3) \, dx\) [141]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (A+B x+C x^2+D x^3)}{\sqrt {c+d x}} \, dx\) [142]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (A+B x+C x^2+D x^3)}{(c+d x)^{3/2}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (A+B x+C x^2+D x^3)}{(c+d x)^{5/2}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (A+B x+C x^2+D x^3)}{(c+d x)^{7/2}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (A+B x+C x^2+D x^3)}{(c+d x)^{9/2}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(c+d x)^{5/2} (A+B x+C x^2+D x^3)}{\sqrt {a-b x^2}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{(c+d x)^{3/2} (A+B x+C x^2+D x^3)}{\sqrt {a-b x^2}} \, dx\) [148]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2+D x^3)}{\sqrt {a-b x^2}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} \sqrt {a-b x^2}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^{3/2} \sqrt {a-b x^2}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^{5/2} \sqrt {a-b x^2}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^{7/2} \sqrt {a-b x^2}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(c+d x)^{5/2} (A+B x+C x^2+D x^3)}{(a-b x^2)^{3/2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{(c+d x)^{3/2} (A+B x+C x^2+D x^3)}{(a-b x^2)^{3/2}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2+D x^3)}{(a-b x^2)^{3/2}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} (a-b x^2)^{3/2}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^{3/2} (a-b x^2)^{3/2}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^{5/2} (a-b x^2)^{3/2}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{(c+d x)^{7/2} (A+B x+C x^2+D x^3)}{(a-b x^2)^{5/2}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{(c+d x)^{5/2} (A+B x+C x^2+D x^3)}{(a-b x^2)^{5/2}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{(c+d x)^{3/2} (A+B x+C x^2+D x^3)}{(a-b x^2)^{5/2}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2+D x^3)}{(a-b x^2)^{5/2}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} (a-b x^2)^{5/2}} \, dx\) [164]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x)^{3/2} (a-b x^2)^{5/2}} \, dx\) [165]
\(\int (c+d x)^n \sqrt {a+b x^2} (A+B x+C x^2+D x^3) \, dx\) [166]
\(\int (c+d x)^n (a+b x^2)^p (A+B x+C x^2+D x^3) \, dx\) [167]
\(\int (c+d x)^{-3-2 p} (a+b x^2)^p (A+B x+C x^2+D x^3) \, dx\) [168]
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