3.1 Integrals 1 to 100

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