3.2 Integrals 101 to 200

3.2.1 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-(a+b x)^2}} \, dx\) [101]
3.2.2 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+(a+b x)^2}} \, dx\) [102]
3.2.3 \(\int \genfrac {}{}{}{}{x^3}{a+b (c+d x)^3} \, dx\) [103]
3.2.4 \(\int \genfrac {}{}{}{}{x^2}{a+b (c+d x)^3} \, dx\) [104]
3.2.5 \(\int \genfrac {}{}{}{}{x}{a+b (c+d x)^3} \, dx\) [105]
3.2.6 \(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^3} \, dx\) [106]
3.2.7 \(\int \genfrac {}{}{}{}{1}{x (a+b (c+d x)^3)} \, dx\) [107]
3.2.8 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c+d x)^3)} \, dx\) [108]
3.2.9 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b (c+d x)^3)} \, dx\) [109]
3.2.10 \(\int \genfrac {}{}{}{}{x^3}{a+b (c+d x)^4} \, dx\) [110]
3.2.11 \(\int \genfrac {}{}{}{}{x^2}{a+b (c+d x)^4} \, dx\) [111]
3.2.12 \(\int \genfrac {}{}{}{}{x}{a+b (c+d x)^4} \, dx\) [112]
3.2.13 \(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^4} \, dx\) [113]
3.2.14 \(\int \genfrac {}{}{}{}{1}{x (a+b (c+d x)^4)} \, dx\) [114]
3.2.15 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c+d x)^4)} \, dx\) [115]
3.2.16 \(\int (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [116]
3.2.17 \(\int (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [117]
3.2.18 \(\int (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [118]
3.2.19 \(\int (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [119]
3.2.20 \(\int \genfrac {}{}{}{}{1}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [120]
3.2.21 \(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [121]
3.2.22 \(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\) [122]
3.2.23 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [123]
3.2.24 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [124]
3.2.25 \(\int x (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [125]
3.2.26 \(\int x (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [126]
3.2.27 \(\int \genfrac {}{}{}{}{x}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [127]
3.2.28 \(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [128]
3.2.29 \(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\) [129]
3.2.30 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [130]
3.2.31 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [131]
3.2.32 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [132]
3.2.33 \(\int x^2 (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [133]
3.2.34 \(\int \genfrac {}{}{}{}{x^2}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [134]
3.2.35 \(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [135]
3.2.36 \(\int \genfrac {}{}{}{}{x^4}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [136]
3.2.37 \(\int \genfrac {}{}{}{}{x^3}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [137]
3.2.38 \(\int \genfrac {}{}{}{}{x^2}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [138]
3.2.39 \(\int \genfrac {}{}{}{}{x}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [139]
3.2.40 \(\int \genfrac {}{}{}{}{1}{27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6} \, dx\) [140]
3.2.41 \(\int \genfrac {}{}{}{}{1}{x (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\) [141]
3.2.42 \(\int \genfrac {}{}{}{}{1}{x^2 (27 a^3+27 a^2 b x^2+27 a^2 c x^3+9 a b^2 x^4+b^3 x^6)} \, dx\) [142]
3.2.43 \(\int \genfrac {}{}{}{}{x^5}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [143]
3.2.44 \(\int \genfrac {}{}{}{}{x^4}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [144]
3.2.45 \(\int \genfrac {}{}{}{}{x^3}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [145]
3.2.46 \(\int \genfrac {}{}{}{}{x^2}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [146]
3.2.47 \(\int \genfrac {}{}{}{}{x}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [147]
3.2.48 \(\int \genfrac {}{}{}{}{1}{216+108 x^2+324 x^3+18 x^4+x^6} \, dx\) [148]
3.2.49 \(\int \genfrac {}{}{}{}{1}{x (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\) [149]
3.2.50 \(\int \genfrac {}{}{}{}{1}{x^2 (216+108 x^2+324 x^3+18 x^4+x^6)} \, dx\) [150]
3.2.51 \(\int \genfrac {}{}{}{}{x^8}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [151]
3.2.52 \(\int \genfrac {}{}{}{}{x^7}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [152]
3.2.53 \(\int \genfrac {}{}{}{}{x^6}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [153]
3.2.54 \(\int \genfrac {}{}{}{}{x^5}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [154]
3.2.55 \(\int \genfrac {}{}{}{}{x^4}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [155]
3.2.56 \(\int \genfrac {}{}{}{}{x^3}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [156]
3.2.57 \(\int \genfrac {}{}{}{}{x^2}{(216+108 x^2+324 x^3+18 x^4+x^6)^2} \, dx\) [157]
3.2.58 \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{c+d x} \, dx\) [158]
3.2.59 \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(c+d x)^2} \, dx\) [159]
3.2.60 \(\int (b+2 c x) (b x+c x^2)^{13} \, dx\) [160]
3.2.61 \(\int x^{14} (b+2 c x^2) (b x+c x^3)^{13} \, dx\) [161]
3.2.62 \(\int x^{28} (b+2 c x^3) (b x+c x^4)^{13} \, dx\) [162]
3.2.63 \(\int x^{14 (-1+n)} (b+2 c x^n) (b x+c x^{1+n})^{13} \, dx\) [163]
3.2.64 \(\int \genfrac {}{}{}{}{b+2 c x}{b x+c x^2} \, dx\) [164]
3.2.65 \(\int \genfrac {}{}{}{}{b+2 c x^2}{b x+c x^3} \, dx\) [165]
3.2.66 \(\int \genfrac {}{}{}{}{b+2 c x^3}{b x+c x^4} \, dx\) [166]
3.2.67 \(\int \genfrac {}{}{}{}{b+2 c x^n}{b x+c x^{1+n}} \, dx\) [167]
3.2.68 \(\int \genfrac {}{}{}{}{b+2 c x}{(b x+c x^2)^8} \, dx\) [168]
3.2.69 \(\int \genfrac {}{}{}{}{b+2 c x^2}{x^7 (b x+c x^3)^8} \, dx\) [169]
3.2.70 \(\int \genfrac {}{}{}{}{b+2 c x^3}{x^{14} (b x+c x^4)^8} \, dx\) [170]
3.2.71 \(\int \genfrac {}{}{}{}{x^{-7 (-1+n)} (b+2 c x^n)}{(b x+c x^{1+n})^8} \, dx\) [171]
3.2.72 \(\int (b+2 c x) (b x+c x^2)^p \, dx\) [172]
3.2.73 \(\int x^{1+p} (b+2 c x^2) (b x+c x^3)^p \, dx\) [173]
3.2.74 \(\int (b x^{1+p} (b x+c x^3)^p+2 c x^{3+p} (b x+c x^3)^p) \, dx\) [174]
3.2.75 \(\int x^{2 (1+p)} (b+2 c x^3) (b x+c x^4)^p \, dx\) [175]
3.2.76 \(\int x^{(-1+n) (1+p)} (b+2 c x^n) (b x+c x^{1+n})^p \, dx\) [176]
3.2.77 \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{a+b x^2} \, dx\) [177]
3.2.78 \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^2} \, dx\) [178]
3.2.79 \(\int \genfrac {}{}{}{}{a^2 c+a^2 d x+2 a b c x^2+2 a b d x^3+b^2 c x^4+b^2 d x^5}{(a+b x^2)^3} \, dx\) [179]
3.2.80 \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^n \, dx\) [180]
3.2.81 \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^n \, dx\) [181]
3.2.82 \(\int x^n (b+c x+d x^2)^n (b+2 c x+3 d x^2) \, dx\) [182]
3.2.83 \(\int (b+3 d x^2) (a+b x+d x^3)^n \, dx\) [183]
3.2.84 \(\int (b+3 d x^2) (b x+d x^3)^n \, dx\) [184]
3.2.85 \(\int x^n (b+d x^2)^n (b+3 d x^2) \, dx\) [185]
3.2.86 \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^n \, dx\) [186]
3.2.87 \(\int (2 c x+3 d x^2) (c x^2+d x^3)^n \, dx\) [187]
3.2.88 \(\int x^n (c x+d x^2)^n (2 c x+3 d x^2) \, dx\) [188]
3.2.89 \(\int x^{2 n} (c+d x)^n (2 c x+3 d x^2) \, dx\) [189]
3.2.90 \(\int x (2 c+3 d x) (a+c x^2+d x^3)^n \, dx\) [190]
3.2.91 \(\int x (2 c+3 d x) (c x^2+d x^3)^n \, dx\) [191]
3.2.92 \(\int (b+2 c x+3 d x^2) (a+b x+c x^2+d x^3)^7 \, dx\) [192]
3.2.93 \(\int (b+2 c x+3 d x^2) (b x+c x^2+d x^3)^7 \, dx\) [193]
3.2.94 \(\int x^7 (b+c x+d x^2)^7 (b+2 c x+3 d x^2) \, dx\) [194]
3.2.95 \(\int (b+3 d x^2) (a+b x+d x^3)^7 \, dx\) [195]
3.2.96 \(\int (b+3 d x^2) (b x+d x^3)^7 \, dx\) [196]
3.2.97 \(\int x^7 (b+d x^2)^7 (b+3 d x^2) \, dx\) [197]
3.2.98 \(\int (2 c x+3 d x^2) (a+c x^2+d x^3)^7 \, dx\) [198]
3.2.99 \(\int (2 c x+3 d x^2) (c x^2+d x^3)^7 \, dx\) [199]
3.2.100 \(\int x^7 (c x+d x^2)^7 (2 c x+3 d x^2) \, dx\) [200]