3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{(d+e x)^{3/2} (A+B x+C x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{\sqrt {d+e x} (A+B x+C x^2)}{\sqrt {a+b x+c x^2}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {d+e x} \sqrt {a+b x+c x^2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{7/2} \sqrt {a+b x+c x^2}} \, dx\) [106]
\(\int (g+h x)^m (a+b x+c x^2)^p (d+e x+f x^2) \, dx\) [107]
\(\int (g+h x)^m \sqrt {a+b x+c x^2} (d+e x+f x^2) \, dx\) [108]
\(\int (g+h x)^{-3-2 p} (a+b x+c x^2)^p (d+e x+f x^2) \, dx\) [109]
\(\int \genfrac {}{}{}{}{x (A+B x+C x^2+D x^3)}{(b x+c x^2)^{5/2}} \, dx\) [110]
\(\int (d+e x)^4 (a+b x+c x^2)^5 (6 b d+5 a e+(12 c d+11 b e) x+17 c e x^2) \, dx\) [111]
\(\int (d+e x)^3 (a+b x+c x^2)^5 (d (6 b d+5 a e)+(12 c d^2+17 b d e+5 a e^2) x+e (29 c d+11 b e) x^2+17 c e^2 x^3) \, dx\) [112]
\(\int (d+e x)^4 (a+b x+c x^2)^4 (a (6 b d+5 a e)+2 (3 b^2 d+6 a c d+8 a b e) x+(18 b c d+11 b^2 e+22 a c e) x^2+4 c (3 c d+7 b e) x^3+17 c^2 e x^4) \, dx\) [113]
\(\int \genfrac {}{}{}{}{x^2+x^3}{-2+x+x^2} \, dx\) [114]
\(\int \genfrac {}{}{}{}{x^2 (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{x (d+e x+f x^2+g x^3)}{\sqrt {a+b x+c x^2}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{\sqrt {a+b x+c x^2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x \sqrt {a+b x+c x^2}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^2 \sqrt {a+b x+c x^2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^3 \sqrt {a+b x+c x^2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^4 \sqrt {a+b x+c x^2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^5 \sqrt {a+b x+c x^2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3}{x^6 \sqrt {a+b x+c x^2}} \, dx\) [123]
\(\int (d+e x)^3 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [124]
\(\int (d+e x)^2 (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [125]
\(\int (d+e x) (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [126]
\(\int (3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [127]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\) [128]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\) [129]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2) (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\) [130]
\(\int (d+e x)^3 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [131]
\(\int (d+e x)^2 (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [132]
\(\int (d+e x) (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [133]
\(\int (3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4) \, dx\) [134]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{d+e x} \, dx\) [135]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^2} \, dx\) [136]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^3} \, dx\) [137]
\(\int \genfrac {}{}{}{}{(3+2 x+5 x^2)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(d+e x)^4} \, dx\) [138]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [139]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [140]
\(\int \genfrac {}{}{}{}{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{3+2 x+5 x^2} \, dx\) [141]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{3+2 x+5 x^2} \, dx\) [142]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)} \, dx\) [143]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)} \, dx\) [144]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)} \, dx\) [145]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [147]
\(\int \genfrac {}{}{}{}{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^2} \, dx\) [148]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^2} \, dx\) [149]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^2} \, dx\) [150]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^2} \, dx\) [151]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^3 (3+2 x+5 x^2)^2} \, dx\) [152]
\(\int \genfrac {}{}{}{}{(d+e x)^3 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\) [154]
\(\int \genfrac {}{}{}{}{(d+e x) (2+x+3 x^2-5 x^3+4 x^4)}{(3+2 x+5 x^2)^3} \, dx\) [155]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(3+2 x+5 x^2)^3} \, dx\) [156]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x) (3+2 x+5 x^2)^3} \, dx\) [157]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-5 x^3+4 x^4}{(d+e x)^2 (3+2 x+5 x^2)^3} \, dx\) [158]
\(\int (5+2 x) \sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [159]
\(\int \sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [160]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\) [161]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\) [162]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\) [163]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\) [164]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\) [165]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\) [166]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\) [167]
\(\int \genfrac {}{}{}{}{\sqrt {3-x+2 x^2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\) [168]
\(\int (5+2 x) (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [169]
\(\int (3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4) \, dx\) [170]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{5+2 x} \, dx\) [171]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^2} \, dx\) [172]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^3} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^4} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^5} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^6} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^7} \, dx\) [177]
\(\int \genfrac {}{}{}{}{(3-x+2 x^2)^{3/2} (2+x+3 x^2-x^3+5 x^4)}{(5+2 x)^8} \, dx\) [178]
\(\int \genfrac {}{}{}{}{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{\sqrt {3-x+2 x^2}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{\sqrt {3-x+2 x^2}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{\sqrt {3-x+2 x^2}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x) \sqrt {3-x+2 x^2}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 \sqrt {3-x+2 x^2}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 \sqrt {3-x+2 x^2}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 \sqrt {3-x+2 x^2}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^5 \sqrt {3-x+2 x^2}} \, dx\) [186]
\(\int \genfrac {}{}{}{}{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{3/2}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{3/2}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{3/2}} \, dx\) [190]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{3/2}} \, dx\) [191]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{3/2}} \, dx\) [192]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{3/2}} \, dx\) [193]
\(\int \genfrac {}{}{}{}{(5+2 x)^2 (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\) [194]
\(\int \genfrac {}{}{}{}{(5+2 x) (2+x+3 x^2-x^3+5 x^4)}{(3-x+2 x^2)^{5/2}} \, dx\) [195]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(3-x+2 x^2)^{5/2}} \, dx\) [196]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x) (3-x+2 x^2)^{5/2}} \, dx\) [197]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^2 (3-x+2 x^2)^{5/2}} \, dx\) [198]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^3 (3-x+2 x^2)^{5/2}} \, dx\) [199]
\(\int \genfrac {}{}{}{}{2+x+3 x^2-x^3+5 x^4}{(5+2 x)^4 (3-x+2 x^2)^{5/2}} \, dx\) [200]