3.2 Integrals 101 to 173

\(\int (3 c^2 x+3 c d x^2+d^2 x^3)^p \, dx\) [101]
\(\int (a+3 c^2 x+3 c d x^2+d^2 x^3)^p \, dx\) [102]
\(\int (c^2 x+3 c d x^2+3 d^2 x^3)^p \, dx\) [103]
\(\int (a+c^2 x+3 c d x^2+3 d^2 x^3)^p \, dx\) [104]
\(\int (b c+b d x+c d x^2+d^2 x^3)^4 \, dx\) [105]
\(\int (b c+b d x+c d x^2+d^2 x^3)^3 \, dx\) [106]
\(\int (b c+b d x+c d x^2+d^2 x^3)^2 \, dx\) [107]
\(\int (b c+b d x+c d x^2+d^2 x^3) \, dx\) [108]
\(\int \genfrac {}{}{}{}{1}{b c+b d x+c d x^2+d^2 x^3} \, dx\) [109]
\(\int \genfrac {}{}{}{}{1}{(b c+b d x+c d x^2+d^2 x^3)^2} \, dx\) [110]
\(\int \genfrac {}{}{}{}{1}{(b c+b d x+c d x^2+d^2 x^3)^3} \, dx\) [111]
\(\int \genfrac {}{}{}{}{1}{1+x+x^2+x^3} \, dx\) [112]
\(\int \genfrac {}{}{}{}{1}{-1+4 x-4 x^2+16 x^3} \, dx\) [113]
\(\int (2+6 x+3 x^2+9 x^3)^{3/2} \, dx\) [114]
\(\int \sqrt {2+6 x+3 x^2+9 x^3} \, dx\) [115]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+6 x+3 x^2+9 x^3}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{1}{(2+6 x+3 x^2+9 x^3)^{3/2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{1}{(2+6 x+3 x^2+9 x^3)^{5/2}} \, dx\) [118]
\(\int (b c+b d x+c d x^2+d^2 x^3)^p \, dx\) [119]
\(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^3 \, dx\) [120]
\(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^2 \, dx\) [121]
\(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3) \, dx\) [122]
\(\int \genfrac {}{}{}{}{1}{a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3} \, dx\) [123]
\(\int \genfrac {}{}{}{}{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^2} \, dx\) [124]
\(\int \genfrac {}{}{}{}{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^3} \, dx\) [125]
\(\int \sqrt {a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3} \, dx\) [126]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^{3/2}} \, dx\) [128]
\(\int (70+67 x-53 x^2+6 x^3)^{5/2} \, dx\) [129]
\(\int (70+67 x-53 x^2+6 x^3)^{3/2} \, dx\) [130]
\(\int \sqrt {70+67 x-53 x^2+6 x^3} \, dx\) [131]
\(\int \genfrac {}{}{}{}{1}{\sqrt {70+67 x-53 x^2+6 x^3}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{1}{(70+67 x-53 x^2+6 x^3)^{3/2}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{(70+67 x-53 x^2+6 x^3)^{5/2}} \, dx\) [134]
\(\int ((a+b x) (c+d x) (e+f x))^p \, dx\) [135]
\(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^p \, dx\) [136]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^3 \, dx\) [137]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^2 \, dx\) [138]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3) \, dx\) [139]
\(\int \genfrac {}{}{}{}{1}{a d+(b d+a e) x+(c d+b e) x^2+c e x^3} \, dx\) [140]
\(\int \genfrac {}{}{}{}{1}{(a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^2} \, dx\) [141]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^{5/2} \, dx\) [142]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^{3/2} \, dx\) [143]
\(\int \sqrt {a d+(b d+a e) x+(c d+b e) x^2+c e x^3} \, dx\) [144]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a d+(b d+a e) x+(c d+b e) x^2+c e x^3}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{1}{(a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^{3/2}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{1}{(a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^{5/2}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8-8 x+4 x^2-x^3}} \, dx\) [148]
\(\int (a d+(b d+a e) x+(c d+b e) x^2+c e x^3)^p \, dx\) [149]
\(\int (2+3 x-5 x^2+x^3)^3 \, dx\) [150]
\(\int (2+3 x-5 x^2+x^3)^2 \, dx\) [151]
\(\int (2+3 x-5 x^2+x^3) \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{2+3 x-5 x^2+x^3} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{(2+3 x-5 x^2+x^3)^2} \, dx\) [154]
\(\int (2+3 x-5 x^2+x^3)^p \, dx\) [155]
\(\int (2+3 x+4 x^2+x^3)^3 \, dx\) [156]
\(\int (2+3 x+4 x^2+x^3)^2 \, dx\) [157]
\(\int (2+3 x+4 x^2+x^3) \, dx\) [158]
\(\int \genfrac {}{}{}{}{1}{2+3 x+4 x^2+x^3} \, dx\) [159]
\(\int \genfrac {}{}{}{}{1}{(2+3 x+4 x^2+x^3)^2} \, dx\) [160]
\(\int (2+3 x+4 x^2+x^3)^p \, dx\) [161]
\(\int \genfrac {}{}{}{}{1}{d x^3} \, dx\) [162]
\(\int \genfrac {}{}{}{}{1}{c x^2+d x^3} \, dx\) [163]
\(\int \genfrac {}{}{}{}{1}{b x+d x^3} \, dx\) [164]
\(\int \genfrac {}{}{}{}{1}{b x+c x^2+d x^3} \, dx\) [165]
\(\int \genfrac {}{}{}{}{1}{a+d x^3} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(a+b x) (c+d x)^2}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a c^2+c (b c+2 a d) x+d (2 b c+a d) x^2+b d^2 x^3}} \, dx\) [168]
\(\int (d x^3)^p \, dx\) [169]
\(\int (c x^2+d x^3)^p \, dx\) [170]
\(\int (b x+d x^3)^p \, dx\) [171]
\(\int (b x+c x^2+d x^3)^p \, dx\) [172]
\(\int (a+d x^3)^p \, dx\) [173]