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