3.2 Integrals 101 to 200

   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-(a+b x)^2}} \, dx\) [101]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+(a+b x)^2}} \, dx\) [102]
   \(\int \genfrac {}{}{}{}{x^3}{a+b (c+d x)^3} \, dx\) [103]
   \(\int \genfrac {}{}{}{}{x^2}{a+b (c+d x)^3} \, dx\) [104]
   \(\int \genfrac {}{}{}{}{x}{a+b (c+d x)^3} \, dx\) [105]
   \(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^3} \, dx\) [106]
   \(\int \genfrac {}{}{}{}{1}{x (a+b (c+d x)^3)} \, dx\) [107]
   \(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c+d x)^3)} \, dx\) [108]
   \(\int \genfrac {}{}{}{}{1}{x^3 (a+b (c+d x)^3)} \, dx\) [109]
   \(\int \genfrac {}{}{}{}{x^3}{a+b (c+d x)^4} \, dx\) [110]
   \(\int \genfrac {}{}{}{}{x^2}{a+b (c+d x)^4} \, dx\) [111]
   \(\int \genfrac {}{}{}{}{x}{a+b (c+d x)^4} \, dx\) [112]
   \(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^4} \, dx\) [113]
   \(\int \genfrac {}{}{}{}{1}{x (a+b (c+d x)^4)} \, dx\) [114]
   \(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c+d x)^4)} \, dx\) [115]
   \(\int (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [116]
   \(\int (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [117]
   \(\int (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [118]
   \(\int (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [119]
   \(\int \genfrac {}{}{}{}{1}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [120]
   \(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [121]
   \(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\) [122]
   \(\int x (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [123]
   \(\int x (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [124]
   \(\int x (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [125]
   \(\int x (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [126]
   \(\int \genfrac {}{}{}{}{x}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [127]
   \(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [128]
   \(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\) [129]
   \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [130]
   \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [131]
   \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [132]
   \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [133]
   \(\int \genfrac {}{}{}{}{x^2}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [134]
   \(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [135]
   \(\int \genfrac {}{}{}{}{x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [136]
   \(\int \genfrac {}{}{}{}{x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [137]
   \(\int \genfrac {}{}{}{}{x^2}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [138]
   \(\int \genfrac {}{}{}{}{x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [139]
   \(\int \genfrac {}{}{}{}{1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [140]
   \(\int \genfrac {}{}{}{}{1}{x (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\) [141]
   \(\int \genfrac {}{}{}{}{1}{x^2 (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\) [142]
   \(\int \genfrac {}{}{}{}{x^5}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [143]
   \(\int \genfrac {}{}{}{}{x^4}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [144]
   \(\int \genfrac {}{}{}{}{x^3}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [145]
   \(\int \genfrac {}{}{}{}{x^2}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [146]
   \(\int \genfrac {}{}{}{}{x}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [147]
   \(\int \genfrac {}{}{}{}{1}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [148]
   \(\int \genfrac {}{}{}{}{1}{x (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\) [149]
   \(\int \genfrac {}{}{}{}{1}{x^2 (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\) [150]
   \(\int \genfrac {}{}{}{}{x^8}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [151]
   \(\int \genfrac {}{}{}{}{x^7}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [152]
   \(\int \genfrac {}{}{}{}{x^6}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [153]
   \(\int \genfrac {}{}{}{}{x^5}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [154]
   \(\int \genfrac {}{}{}{}{x^4}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [155]
   \(\int \genfrac {}{}{}{}{x^3}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [156]
   \(\int \genfrac {}{}{}{}{x^2}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [157]
   \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{c+d x} \, dx\) [158]
   \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(c+d x)^2} \, dx\) [159]
   \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\) [160]
   \(\int x^{14} (b+2 c x^2) (b x+c x^3)^{13} \, dx\) [161]
   \(\int x^{28} (b+2 c x^3) (b x+c x^4)^{13} \, dx\) [162]
   \(\int x^{14 (-1+n)} (b+2 c x^n) (b x+c x^{1+n})^{13} \, dx\) [163]
   \(\int \genfrac {}{}{}{}{b+2 c x}{b x+c x^2} \, dx\) [164]
   \(\int \genfrac {}{}{}{}{b+2 c x^2}{b x+c x^3} \, dx\) [165]
   \(\int \genfrac {}{}{}{}{b+2 c x^3}{b x+c x^4} \, dx\) [166]
   \(\int \genfrac {}{}{}{}{b+2 c x^n}{b x+c x^{1+n}} \, dx\) [167]
   \(\int \genfrac {}{}{}{}{b+2 c x}{(b x+c x^2)^8} \, dx\) [168]
   \(\int \genfrac {}{}{}{}{b+2 c x^2}{x^7 (b x+c x^3)^8} \, dx\) [169]
   \(\int \genfrac {}{}{}{}{b+2 c x^3}{x^{14} (b x+c x^4)^8} \, dx\) [170]
   \(\int \genfrac {}{}{}{}{x^{-7 (-1+n)} (b+2 c x^n)}{(b x+c x^{1+n})^8} \, dx\) [171]
   \(\int (b+2 c x) (b x+c x^2)^p \, dx\) [172]
   \(\int x^{1+p} (b+2 c x^2) (b x+c x^3)^p \, dx\) [173]
   \(\int (b x^{1+p} (b x+c x^3)^p+2 c x^{3+p} (b x+c x^3)^p) \, dx\) [174]
   \(\int x^{2 (1+p)} (b+2 c x^3) (b x+c x^4)^p \, dx\) [175]
   \(\int x^{(-1+n) (1+p)} (b+2 c x^n) (b x+c x^{1+n})^p \, dx\) [176]
   \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{a+b x^2} \, dx\) [177]
   \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^2} \, dx\) [178]
   \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^3} \, dx\) [179]
   \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^n \, dx\) [180]
   \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^n \, dx\) [181]
   \(\int x^n (b+c x+d x^2)^n (b+2 c x+3 d x^2) \, dx\) [182]
   \(\int (b+3 d x^2) (a+b x+d x^3)^n \, dx\) [183]
   \(\int (b+3 d x^2) (b x+d x^3)^n \, dx\) [184]
   \(\int x^n (b+d x^2)^n (b+3 d x^2) \, dx\) [185]
   \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^n \, dx\) [186]
   \(\int (2 c x+3 d x^2) (c x^2+d x^3)^n \, dx\) [187]
   \(\int x^n (c x+d x^2)^n (2 c x+3 d x^2) \, dx\) [188]
   \(\int x^{2 n} (c+d x)^n (2 c x+3 d x^2) \, dx\) [189]
   \(\int x (2 c+3 d x) (a+c x^2+d x^3)^n \, dx\) [190]
   \(\int x (2 c+3 d x) (c x^2+d x^3)^n \, dx\) [191]
   \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^7 \, dx\) [192]
   \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^7 \, dx\) [193]
   \(\int x^7 (b+c x+d x^2)^7 (b+2 c x+3 d x^2) \, dx\) [194]
   \(\int (b+3 d x^2) (a+b x+d x^3)^7 \, dx\) [195]
   \(\int (b+3 d x^2) (b x+d x^3)^7 \, dx\) [196]
   \(\int x^7 (b+d x^2)^7 (b+3 d x^2) \, dx\) [197]
   \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^7 \, dx\) [198]
   \(\int (2 c x+3 d x^2) (c x^2+d x^3)^7 \, dx\) [199]
   \(\int x^7 (c x+d x^2)^7 (2 c x+3 d x^2) \, dx\) [200]