3.1.1 \(\int \genfrac {}{}{}{}{1}{2 \sqrt {3} b^{3/2}-9 b x+9 x^3} \, dx\) [1]
3.1.2 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^p \, dx\) [2]
3.1.3 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^3 \, dx\) [3]
3.1.4 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^2 \, dx\) [4]
3.1.5 \(\int (a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3) \, dx\) [5]
3.1.6 \(\int \genfrac {}{}{}{}{1}{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} \, dx\) [6]
3.1.7 \(\int \genfrac {}{}{}{}{1}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^2} \, dx\) [7]
3.1.8 \(\int \genfrac {}{}{}{}{1}{(a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3)^3} \, dx\) [8]
3.1.9 \(\int (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^3 \, dx\) [9]
3.1.10 \(\int (3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^2 \, dx\) [10]
3.1.11 \(\int (3 a b+3 b^2 x+3 b c x^2+c^2 x^3) \, dx\) [11]
3.1.12 \(\int \genfrac {}{}{}{}{1}{3 a b+3 b^2 x+3 b c x^2+c^2 x^3} \, dx\) [12]
3.1.13 \(\int \genfrac {}{}{}{}{1}{(3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^2} \, dx\) [13]
3.1.14 \(\int \genfrac {}{}{}{}{1}{(3 a b+3 b^2 x+3 b c x^2+c^2 x^3)^3} \, dx\) [14]
3.1.15 \(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^3 \, dx\) [15]
3.1.16 \(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^2 \, dx\) [16]
3.1.17 \(\int (a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3) \, dx\) [17]
3.1.18 \(\int \genfrac {}{}{}{}{1}{a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3} \, dx\) [18]
3.1.19 \(\int \genfrac {}{}{}{}{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^2} \, dx\) [19]
3.1.20 \(\int \genfrac {}{}{}{}{1}{(a c e+(b c e+a d e+a c f) x+(b d e+b c f+a d f) x^2+b d f x^3)^3} \, dx\) [20]
3.1.21 \(\int \genfrac {}{}{}{}{1}{1+x+x^2+x^3} \, dx\) [21]
3.1.22 \(\int \genfrac {}{}{}{}{1}{-1+4 x-4 x^2+16 x^3} \, dx\) [22]
3.1.23 \(\int \genfrac {}{}{}{}{1}{d x^3} \, dx\) [23]
3.1.24 \(\int \genfrac {}{}{}{}{1}{c x^2+d x^3} \, dx\) [24]
3.1.25 \(\int \genfrac {}{}{}{}{1}{b x+d x^3} \, dx\) [25]
3.1.26 \(\int \genfrac {}{}{}{}{1}{b x+c x^2+d x^3} \, dx\) [26]
3.1.27 \(\int \genfrac {}{}{}{}{1}{a+d x^3} \, dx\) [27]
3.1.28 \(\int (d x^3)^n \, dx\) [28]
3.1.29 \(\int (c x^2+d x^3)^n \, dx\) [29]
3.1.30 \(\int (b x+d x^3)^n \, dx\) [30]
3.1.31 \(\int (b x+c x^2+d x^3)^n \, dx\) [31]
3.1.32 \(\int (a+d x^3)^n \, dx\) [32]
3.1.33 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^4 \, dx\) [33]
3.1.34 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^3 \, dx\) [34]
3.1.35 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^2 \, dx\) [35]
3.1.36 \(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4) \, dx\) [36]
3.1.37 \(\int \genfrac {}{}{}{}{1}{4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4} \, dx\) [37]
3.1.38 \(\int \genfrac {}{}{}{}{1}{(4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^2} \, dx\) [38]
3.1.39 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^4 \, dx\) [39]
3.1.40 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^3 \, dx\) [40]
3.1.41 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^2 \, dx\) [41]
3.1.42 \(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4) \, dx\) [42]
3.1.43 \(\int \genfrac {}{}{}{}{1}{8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4} \, dx\) [43]
3.1.44 \(\int \genfrac {}{}{}{}{1}{(8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^2} \, dx\) [44]
3.1.45 \(\int (8+8 x-x^3+8 x^4)^4 \, dx\) [45]
3.1.46 \(\int (8+8 x-x^3+8 x^4)^3 \, dx\) [46]
3.1.47 \(\int (8+8 x-x^3+8 x^4)^2 \, dx\) [47]
3.1.48 \(\int (8+8 x-x^3+8 x^4) \, dx\) [48]
3.1.49 \(\int \genfrac {}{}{}{}{1}{8+8 x-x^3+8 x^4} \, dx\) [49]
3.1.50 \(\int \genfrac {}{}{}{}{1}{(8+8 x-x^3+8 x^4)^2} \, dx\) [50]
3.1.51 \(\int (1+4 x+4 x^2+4 x^4)^4 \, dx\) [51]
3.1.52 \(\int (1+4 x+4 x^2+4 x^4)^3 \, dx\) [52]
3.1.53 \(\int (1+4 x+4 x^2+4 x^4)^2 \, dx\) [53]
3.1.54 \(\int (1+4 x+4 x^2+4 x^4) \, dx\) [54]
3.1.55 \(\int \genfrac {}{}{}{}{1}{1+4 x+4 x^2+4 x^4} \, dx\) [55]
3.1.56 \(\int \genfrac {}{}{}{}{1}{(1+4 x+4 x^2+4 x^4)^2} \, dx\) [56]
3.1.57 \(\int (8+24 x+8 x^2-15 x^3+8 x^4)^4 \, dx\) [57]
3.1.58 \(\int (8+24 x+8 x^2-15 x^3+8 x^4)^3 \, dx\) [58]
3.1.59 \(\int (8+24 x+8 x^2-15 x^3+8 x^4)^2 \, dx\) [59]
3.1.60 \(\int (8+24 x+8 x^2-15 x^3+8 x^4) \, dx\) [60]
3.1.61 \(\int \genfrac {}{}{}{}{1}{8+24 x+8 x^2-15 x^3+8 x^4} \, dx\) [61]
3.1.62 \(\int \genfrac {}{}{}{}{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^2} \, dx\) [62]
3.1.63 \(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^3 \, dx\) [63]
3.1.64 \(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^2 \, dx\) [64]
3.1.65 \(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5) \, dx\) [65]
3.1.66 \(\int \genfrac {}{}{}{}{1}{a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5} \, dx\) [66]
3.1.67 \(\int \genfrac {}{}{}{}{1}{(a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^2} \, dx\) [67]
3.1.68 \(\int \genfrac {}{}{}{}{1}{(a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^3} \, dx\) [68]
3.1.69 \(\int \genfrac {}{}{}{}{1}{1+x^2+x^3+x^5} \, dx\) [69]
3.1.70 \(\int (3-19 x^2+32 x^4-16 x^6)^4 \, dx\) [70]
3.1.71 \(\int (3-19 x^2+32 x^4-16 x^6)^3 \, dx\) [71]
3.1.72 \(\int (3-19 x^2+32 x^4-16 x^6)^2 \, dx\) [72]
3.1.73 \(\int (3-19 x^2+32 x^4-16 x^6) \, dx\) [73]
3.1.74 \(\int \genfrac {}{}{}{}{1}{3-19 x^2+32 x^4-16 x^6} \, dx\) [74]
3.1.75 \(\int \genfrac {}{}{}{}{1}{(3-19 x^2+32 x^4-16 x^6)^2} \, dx\) [75]
3.1.76 \(\int \genfrac {}{}{}{}{1}{(3-19 x^2+32 x^4-16 x^6)^3} \, dx\) [76]
3.1.77 \(\int \genfrac {}{}{}{}{1}{(-1+7 x^2-7 x^4+x^6)^2} \, dx\) [77]
3.1.78 \(\int \genfrac {}{}{}{}{x^3}{c+(a+b x)^2} \, dx\) [78]
3.1.79 \(\int \genfrac {}{}{}{}{x^2}{c+(a+b x)^2} \, dx\) [79]
3.1.80 \(\int \genfrac {}{}{}{}{x}{c+(a+b x)^2} \, dx\) [80]
3.1.81 \(\int \genfrac {}{}{}{}{1}{c+(a+b x)^2} \, dx\) [81]
3.1.82 \(\int \genfrac {}{}{}{}{1}{x (c+(a+b x)^2)} \, dx\) [82]
3.1.83 \(\int \genfrac {}{}{}{}{1}{x^2 (c+(a+b x)^2)} \, dx\) [83]
3.1.84 \(\int \genfrac {}{}{}{}{1}{x^3 (c+(a+b x)^2)} \, dx\) [84]
3.1.85 \(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^2} \, dx\) [85]
3.1.86 \(\int \genfrac {}{}{}{}{1}{(a+b (c+d x)^2)^2} \, dx\) [86]
3.1.87 \(\int \genfrac {}{}{}{}{1}{(a+b (c+d x)^2)^3} \, dx\) [87]
3.1.88 \(\int \genfrac {}{}{}{}{1}{\sqrt {-a}+b (c+d x)^2} \, dx\) [88]
3.1.89 \(\int \genfrac {}{}{}{}{1}{1+(c+d x)^2} \, dx\) [89]
3.1.90 \(\int \genfrac {}{}{}{}{1}{(1+(c+d x)^2)^2} \, dx\) [90]
3.1.91 \(\int \genfrac {}{}{}{}{1}{(1+(c+d x)^2)^3} \, dx\) [91]
3.1.92 \(\int \genfrac {}{}{}{}{1}{1-(c+d x)^2} \, dx\) [92]
3.1.93 \(\int \genfrac {}{}{}{}{1}{(1-(c+d x)^2)^2} \, dx\) [93]
3.1.94 \(\int \genfrac {}{}{}{}{1}{(1-(c+d x)^2)^3} \, dx\) [94]
3.1.95 \(\int \genfrac {}{}{}{}{1}{1-(1+x)^2} \, dx\) [95]
3.1.96 \(\int \genfrac {}{}{}{}{1}{(1-(1+x)^2)^2} \, dx\) [96]
3.1.97 \(\int \genfrac {}{}{}{}{1}{(1-(1+x)^2)^3} \, dx\) [97]
3.1.98 \(\int \genfrac {}{}{}{}{(1+(a+b x)^2)^2}{x} \, dx\) [98]
3.1.99 \(\int \genfrac {}{}{}{}{x^2}{1+(-1+x)^2} \, dx\) [99]
3.1.100 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-(1+x)^2}} \, dx\) [100]