3.1 Integrals 1 to 100

\(\int (A+B x+C x^2) (27 a^3+27 a^2 b x-4 b^3 x^3)^3 \, dx\) [1]
\(\int (A+B x+C x^2) (27 a^3+27 a^2 b x-4 b^3 x^3)^2 \, dx\) [2]
\(\int (A+B x+C x^2) (27 a^3+27 a^2 b x-4 b^3 x^3) \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{27 a^3+27 a^2 b x-4 b^3 x^3} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(27 a^3+27 a^2 b x-4 b^3 x^3)^2} \, dx\) [5]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(27 a^3+27 a^2 b x-4 b^3 x^3)^3} \, dx\) [6]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{2 \sqrt {3} b^{3/2}-9 b x+9 x^3} \, dx\) [7]
\(\int (A+B x+C x^2) (27 a^3+27 a^2 b x-4 b^3 x^3)^{5/2} \, dx\) [8]
\(\int (A+B x+C x^2) (27 a^3+27 a^2 b x-4 b^3 x^3)^{3/2} \, dx\) [9]
\(\int (A+B x+C x^2) \sqrt {27 a^3+27 a^2 b x-4 b^3 x^3} \, dx\) [10]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {27 a^3+27 a^2 b x-4 b^3 x^3}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(27 a^3+27 a^2 b x-4 b^3 x^3)^{3/2}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(27 a^3+27 a^2 b x-4 b^3 x^3)^{5/2}} \, dx\) [13]
\(\int (A+B x+C x^2) (27 a^3+27 a^2 b x-4 b^3 x^3)^p \, dx\) [14]
\(\int (A+B x+C x^2) (2-4 x+3 x^3)^3 \, dx\) [15]
\(\int (A+B x+C x^2) (2-4 x+3 x^3)^2 \, dx\) [16]
\(\int (A+B x+C x^2) (2-4 x+3 x^3) \, dx\) [17]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{2-4 x+3 x^3} \, dx\) [18]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(2-4 x+3 x^3)^2} \, dx\) [19]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {2-4 x+3 x^3}} \, dx\) [20]
\(\int (A+B x+C x^2) (2-4 x+3 x^3)^p \, dx\) [21]
\(\int (A+B x+C x^2) (2-6 x+3 x^3)^3 \, dx\) [22]
\(\int (A+B x+C x^2) (2-6 x+3 x^3)^2 \, dx\) [23]
\(\int (A+B x+C x^2) (2-6 x+3 x^3) \, dx\) [24]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{2-6 x+3 x^3} \, dx\) [25]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(2-6 x+3 x^3)^2} \, dx\) [26]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {2-6 x+3 x^3}} \, dx\) [27]
\(\int (A+B x+C x^2) (2-6 x+3 x^3)^p \, dx\) [28]
\(\int (A+B x+C x^2) (4 c^3-27 c d^2 x^2-27 d^3 x^3)^4 \, dx\) [29]
\(\int (A+B x+C x^2) (4 c^3-27 c d^2 x^2-27 d^3 x^3)^3 \, dx\) [30]
\(\int (A+B x+C x^2) (4 c^3-27 c d^2 x^2-27 d^3 x^3)^2 \, dx\) [31]
\(\int (A+B x+C x^2) (4 c^3-27 c d^2 x^2-27 d^3 x^3) \, dx\) [32]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{4 c^3-27 c d^2 x^2-27 d^3 x^3} \, dx\) [33]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(4 c^3-27 c d^2 x^2-27 d^3 x^3)^2} \, dx\) [34]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(4 c^3-27 c d^2 x^2-27 d^3 x^3)^3} \, dx\) [35]
\(\int (A+B x+C x^2) (4 c^3-27 c d^2 x^2-27 d^3 x^3)^{3/2} \, dx\) [36]
\(\int (A+B x+C x^2) \sqrt {4 c^3-27 c d^2 x^2-27 d^3 x^3} \, dx\) [37]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {4 c^3-27 c d^2 x^2-27 d^3 x^3}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(4 c^3-27 c d^2 x^2-27 d^3 x^3)^{3/2}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(4 c^3-27 c d^2 x^2-27 d^3 x^3)^{5/2}} \, dx\) [40]
\(\int (A+B x+C x^2) (4 c^3-27 c d^2 x^2-27 d^3 x^3)^p \, dx\) [41]
\(\int (A+B x+C x^2) (2-4 x^2+3 x^3)^3 \, dx\) [42]
\(\int (A+B x+C x^2) (2-4 x^2+3 x^3)^2 \, dx\) [43]
\(\int (A+B x+C x^2) (2-4 x^2+3 x^3) \, dx\) [44]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{2-4 x^2+3 x^3} \, dx\) [45]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(2-4 x^2+3 x^3)^2} \, dx\) [46]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {2-4 x^2+3 x^3}} \, dx\) [47]
\(\int (A+B x+C x^2) (2-4 x^2+3 x^3)^p \, dx\) [48]
\(\int (A+B x+C x^2) (2-6 x^2+3 x^3)^3 \, dx\) [49]
\(\int (A+B x+C x^2) (2-6 x^2+3 x^3)^2 \, dx\) [50]
\(\int (A+B x+C x^2) (2-6 x^2+3 x^3) \, dx\) [51]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{2-6 x^2+3 x^3} \, dx\) [52]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(2-6 x^2+3 x^3)^2} \, dx\) [53]
\(\int (A+B x+C x^2) (2-6 x^2+3 x^3)^p \, dx\) [54]
\(\int (A+B x+C x^2) (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^2 \, dx\) [55]
\(\int (A+B x+C x^2) (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3) \, dx\) [56]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} \, dx\) [57]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^2} \, dx\) [58]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^3} \, dx\) [59]
\(\int (A+B x+C x^2) (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^{3/2} \, dx\) [60]
\(\int (A+B x+C x^2) \sqrt {a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} \, dx\) [61]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3}} \, dx\) [62]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^{3/2}} \, dx\) [63]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^{5/2}} \, dx\) [64]
\(\int ((a+b x)^3)^p (A+B x+C x^2) \, dx\) [65]
\(\int (A+B x+C x^2) (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^p \, dx\) [66]
\(\int (A+B x+C x^2) (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^4 \, dx\) [67]
\(\int (A+B x+C x^2) (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^3 \, dx\) [68]
\(\int (A+B x+C x^2) (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^2 \, dx\) [69]
\(\int (A+B x+C x^2) (3 a b+3 b^2 x+3 b c x^2+c^2 x^3) \, dx\) [70]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{3 a b+3 b^2 x+3 b c x^2+c^2 x^3} \, dx\) [71]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^2} \, dx\) [72]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^3} \, dx\) [73]
\(\int (A+B x+C x^2) (-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3)^{3/2} \, dx\) [74]
\(\int (A+B x+C x^2) \sqrt {-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3} \, dx\) [75]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3}} \, dx\) [76]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3)^{3/2}} \, dx\) [77]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3)^{5/2}} \, dx\) [78]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3)^{7/2}} \, dx\) [79]
\(\int (A+B x+C x^2) (-64+b^3+3 b^2 c x+3 b c^2 x^2+c^3 x^3)^p \, dx\) [80]
\(\int (A+B x+C x^2) (3 c^2 x+3 c d x^2+d^2 x^3)^p \, dx\) [81]
\(\int (A+B x+C x^2) (a+3 c^2 x+3 c d x^2+d^2 x^3)^p \, dx\) [82]
\(\int (A+B x+C x^2) (c^2 x+3 c d x^2+3 d^2 x^3)^p \, dx\) [83]
\(\int (A+B x+C x^2) (a+c^2 x+3 c d x^2+3 d^2 x^3)^p \, dx\) [84]
\(\int (A+B x+C x^2) (b c+b d x+c d x^2+d^2 x^3)^3 \, dx\) [85]
\(\int (A+B x+C x^2) (b c+b d x+c d x^2+d^2 x^3)^2 \, dx\) [86]
\(\int (A+B x+C x^2) (b c+b d x+c d x^2+d^2 x^3) \, dx\) [87]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{b c+b d x+c d x^2+d^2 x^3} \, dx\) [88]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(b c+b d x+c d x^2+d^2 x^3)^2} \, dx\) [89]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{1+x+x^2+x^3} \, dx\) [90]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{-1+4 x-4 x^2+16 x^3} \, dx\) [91]
\(\int (A+B x+C x^2) (2+6 x+3 x^2+9 x^3)^{3/2} \, dx\) [92]
\(\int (A+B x+C x^2) \sqrt {2+6 x+3 x^2+9 x^3} \, dx\) [93]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {2+6 x+3 x^2+9 x^3}} \, dx\) [94]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(2+6 x+3 x^2+9 x^3)^{3/2}} \, dx\) [95]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(2+6 x+3 x^2+9 x^3)^{5/2}} \, dx\) [96]
\(\int (A+B x+C x^2) (b c+b d x+c d x^2+d^2 x^3)^p \, dx\) [97]
\(\int (b e+2 c e x+3 d e x^2) (a+b x+c x^2+d x^3)^2 \, dx\) [98]
\(\int (b e+2 c e x+3 d e x^2) (a+b x+c x^2+d x^3) \, dx\) [99]
\(\int \genfrac {}{}{}{}{b e+2 c e x+3 d e x^2}{a+b x+c x^2+d x^3} \, dx\) [100]