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