3.2 Integrals 101 to 200

\(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{-a+b x^2+c x^4} \, dx\) [101]
\(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{-a+b x^3+c x^6} \, dx\) [102]
\(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{-a+b x^n+c x^{2 n}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{b+2 c x}{(-a+b x+c x^2)^8} \, dx\) [104]
\(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(-a+b x^2+c x^4)^8} \, dx\) [105]
\(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(-a+b x^3+c x^6)^8} \, dx\) [106]
\(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(-a+b x^n+c x^{2 n})^8} \, dx\) [107]
\(\int \genfrac {}{}{}{}{b+2 c x}{b x+c x^2} \, dx\) [108]
\(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{b x^2+c x^4} \, dx\) [109]
\(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{b x^3+c x^6} \, dx\) [110]
\(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{b x^n+c x^{2 n}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{b+2 c x}{(b x+c x^2)^8} \, dx\) [112]
\(\int \genfrac {}{}{}{}{x (b+2 c x^2)}{(b x^2+c x^4)^8} \, dx\) [113]
\(\int \genfrac {}{}{}{}{x^2 (b+2 c x^3)}{(b x^3+c x^6)^8} \, dx\) [114]
\(\int \genfrac {}{}{}{}{x^{-1+n} (b+2 c x^n)}{(b x^n+c x^{2 n})^8} \, dx\) [115]
\(\int (b+2 c x) (a+b x+c x^2)^p \, dx\) [116]
\(\int x (b+2 c x^2) (a+b x^2+c x^4)^p \, dx\) [117]
\(\int x^2 (b+2 c x^3) (a+b x^3+c x^6)^p \, dx\) [118]
\(\int x^{-1+n} (b+2 c x^n) (a+b x^n+c x^{2 n})^p \, dx\) [119]
\(\int (b+2 c x) (-a+b x+c x^2)^p \, dx\) [120]
\(\int x (b+2 c x^2) (-a+b x^2+c x^4)^p \, dx\) [121]
\(\int x^2 (b+2 c x^3) (-a+b x^3+c x^6)^p \, dx\) [122]
\(\int x^{-1+n} (b+2 c x^n) (-a+b x^n+c x^{2 n})^p \, dx\) [123]
\(\int (b+2 c x) (b x+c x^2)^p \, dx\) [124]
\(\int x (b+2 c x^2) (b x^2+c x^4)^p \, dx\) [125]
\(\int x^2 (b+2 c x^3) (b x^3+c x^6)^p \, dx\) [126]
\(\int x^{-1+n} (b+2 c x^n) (b x^n+c x^{2 n})^p \, dx\) [127]
\(\int (f x)^m (d+e x^n)^q (c d^2-b d e-b e^2 x^n-c e^2 x^{2 n})^p \, dx\) [128]
\(\int \genfrac {}{}{}{}{x^4 (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{x^2 (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{d+e x^n}{a+b x^n+c x^{2 n}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{d+e x^n}{x^2 (a+b x^n+c x^{2 n})} \, dx\) [132]
\(\int \genfrac {}{}{}{}{d+e x^n}{x^4 (a+b x^n+c x^{2 n})} \, dx\) [133]
\(\int \genfrac {}{}{}{}{x^4 (d+e x^n)^2}{a+b x^n+c x^{2 n}} \, dx\) [134]
\(\int \genfrac {}{}{}{}{x^2 (d+e x^n)^2}{a+b x^n+c x^{2 n}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2}{a+b x^n+c x^{2 n}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2}{x^2 (a+b x^n+c x^{2 n})} \, dx\) [137]
\(\int \genfrac {}{}{}{}{(d+e x^n)^2}{x^4 (a+b x^n+c x^{2 n})} \, dx\) [138]
\(\int \genfrac {}{}{}{}{x^4}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [139]
\(\int \genfrac {}{}{}{}{x^2}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [140]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [141]
\(\int \genfrac {}{}{}{}{1}{x^2 (d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [142]
\(\int \genfrac {}{}{}{}{1}{x^4 (d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [143]
\(\int \genfrac {}{}{}{}{x^4}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [144]
\(\int \genfrac {}{}{}{}{x^2}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [145]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [146]
\(\int \genfrac {}{}{}{}{1}{x^2 (d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [147]
\(\int \genfrac {}{}{}{}{1}{x^4 (d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [148]
\(\int \genfrac {}{}{}{}{x^{3 n} (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [149]
\(\int \genfrac {}{}{}{}{x^{2 n} (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [150]
\(\int \genfrac {}{}{}{}{x^n (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [151]
\(\int \genfrac {}{}{}{}{d+e x^n}{a+b x^n+c x^{2 n}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{x^{-n} (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{x^{-2 n} (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{x^{-3 n} (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{x^{3 n}}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [156]
\(\int \genfrac {}{}{}{}{x^{2 n}}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [157]
\(\int \genfrac {}{}{}{}{x^n}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [158]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [159]
\(\int \genfrac {}{}{}{}{x^{-n}}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [160]
\(\int \genfrac {}{}{}{}{x^{-2 n}}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [161]
\(\int \genfrac {}{}{}{}{x^{-3 n}}{(d+e x^n) (a+b x^n+c x^{2 n})} \, dx\) [162]
\(\int \genfrac {}{}{}{}{x^{3 n}}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [163]
\(\int \genfrac {}{}{}{}{x^{2 n}}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [164]
\(\int \genfrac {}{}{}{}{x^n}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [165]
\(\int \genfrac {}{}{}{}{1}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [166]
\(\int \genfrac {}{}{}{}{x^{-n}}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [167]
\(\int \genfrac {}{}{}{}{x^{-2 n}}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [168]
\(\int \genfrac {}{}{}{}{x^{-3 n}}{(d+e x^n)^2 (a+b x^n+c x^{2 n})} \, dx\) [169]
\(\int \genfrac {}{}{}{}{x^m (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{a+b x^n+c x^{2 n}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{(a+b x^n+c x^{2 n})^2} \, dx\) [172]
\(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)}{(a+b x^n+c x^{2 n})^3} \, dx\) [173]
\(\int \genfrac {}{}{}{}{x^2 (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{x (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x (a+b x^n+c x^{2 n})} \, dx\) [177]
\(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x^2 (a+b x^n+c x^{2 n})} \, dx\) [178]
\(\int \genfrac {}{}{}{}{(d+e x^n)^q}{x^3 (a+b x^n+c x^{2 n})} \, dx\) [179]
\(\int (f x)^m (d+e x^n)^q (a+b x^n+c x^{2 n})^2 \, dx\) [180]
\(\int (f x)^m (d+e x^n)^q (a+b x^n+c x^{2 n}) \, dx\) [181]
\(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)^q}{a+b x^n+c x^{2 n}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{(f x)^m (d+e x^n)^q}{(a+b x^n+c x^{2 n})^2} \, dx\) [183]
\(\int (f x)^m (d+e x^n)^2 (a+b x^n+c x^{2 n})^p \, dx\) [184]
\(\int (f x)^m (d+e x^n) (a+b x^n+c x^{2 n})^p \, dx\) [185]
\(\int (f x)^m (a+b x^n+c x^{2 n})^p \, dx\) [186]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b x^n+c x^{2 n})^p}{d+e x^n} \, dx\) [187]
\(\int \genfrac {}{}{}{}{(f x)^m (a+b x^n+c x^{2 n})^p}{(d+e x^n)^2} \, dx\) [188]
\(\int x^{-1+3 n} (d+e x^n)^p (b d^2-b d e x^n+b e^2 x^{2 n})^p \, dx\) [189]
\(\int x^n (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [190]
\(\int x^m (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [191]
\(\int x (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [192]
\(\int (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [193]
\(\int \genfrac {}{}{}{}{(d+e x^n)^q (a+b x^n+c x^{2 n})^p}{x} \, dx\) [194]
\(\int x^{-1+2 n} (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [195]
\(\int x^{-1+n} (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [196]
\(\int \genfrac {}{}{}{}{(d+e x^n)^q (a+b x^n+c x^{2 n})^p}{x} \, dx\) [197]
\(\int x^{-1-n} (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [198]
\(\int x^{-1-2 n} (d+e x^n)^q (a+b x^n+c x^{2 n})^p \, dx\) [199]
\(\int \genfrac {}{}{}{}{x^3}{(a+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x}) (d+e x)} \, dx\) [200]