3.1 Integrals 1 to 70

\(\int \genfrac {}{}{}{}{1+x}{1+x^5} \, dx\) [1]
\(\int \genfrac {}{}{}{}{1-x}{1-x^5} \, dx\) [2]
\(\int \genfrac {}{}{}{}{1+x+x^2+x^3+x^4}{1-x^5} \, dx\) [3]
\(\int \genfrac {}{}{}{}{A+C x^4}{a+b x^6} \, dx\) [4]
\(\int \genfrac {}{}{}{}{A+B x^2+C x^4}{a+b x^6} \, dx\) [5]
\(\int (a+c x^6)^3 (A+B x^3+C x^6) \, dx\) [6]
\(\int (a+c x^6)^2 (A+B x^3+C x^6) \, dx\) [7]
\(\int (a+c x^6) (A+B x^3+C x^6) \, dx\) [8]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{a+c x^6} \, dx\) [9]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{(a+c x^6)^2} \, dx\) [10]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{(a+c x^6)^3} \, dx\) [11]
\(\int (a-c x^6)^3 (A+B x^3+C x^6) \, dx\) [12]
\(\int (a-c x^6)^2 (A+B x^3+C x^6) \, dx\) [13]
\(\int (a-c x^6) (A+B x^3+C x^6) \, dx\) [14]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{a-c x^6} \, dx\) [15]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{(a-c x^6)^2} \, dx\) [16]
\(\int \genfrac {}{}{}{}{A+B x^3+C x^6}{(a-c x^6)^3} \, dx\) [17]
\(\int (a+c x^6)^3 (A+B x^6+C x^{12}) \, dx\) [18]
\(\int (a+c x^6)^2 (A+B x^6+C x^{12}) \, dx\) [19]
\(\int (a+c x^6) (A+B x^6+C x^{12}) \, dx\) [20]
\(\int \genfrac {}{}{}{}{A+B x^6+C x^{12}}{a+c x^6} \, dx\) [21]
\(\int \genfrac {}{}{}{}{A+B x^6+C x^{12}}{(a+c x^6)^2} \, dx\) [22]
\(\int \genfrac {}{}{}{}{A+B x^6+C x^{12}}{(a+c x^6)^3} \, dx\) [23]
\(\int (a-c x^6)^3 (A+B x^6+C x^{12}) \, dx\) [24]
\(\int (a-c x^6)^2 (A+B x^6+C x^{12}) \, dx\) [25]
\(\int (a-c x^6) (A+B x^6+C x^{12}) \, dx\) [26]
\(\int \genfrac {}{}{}{}{A+B x^6+C x^{12}}{a-c x^6} \, dx\) [27]
\(\int \genfrac {}{}{}{}{A+B x^6+C x^{12}}{(a-c x^6)^2} \, dx\) [28]
\(\int \genfrac {}{}{}{}{A+B x^6+C x^{12}}{(a-c x^6)^3} \, dx\) [29]
\(\int \genfrac {}{}{}{}{243-162 x+108 x^2-72 x^3+48 x^4-32 x^5}{729-64 x^6} \, dx\) [30]
\(\int \genfrac {}{}{}{}{243+162 x+108 x^2+72 x^3+48 x^4+32 x^5}{729-64 x^6} \, dx\) [31]
\(\int \genfrac {}{}{}{}{81+36 x^2+16 x^4}{729-64 x^6} \, dx\) [32]
\(\int \genfrac {}{}{}{}{81+54 x-24 x^3-16 x^4}{729-64 x^6} \, dx\) [33]
\(\int \genfrac {}{}{}{}{3-2 x}{729-64 x^6} \, dx\) [34]
\(\int \genfrac {}{}{}{}{3+2 x}{729-64 x^6} \, dx\) [35]
\(\int \genfrac {}{}{}{}{9-6 x+4 x^2}{729-64 x^6} \, dx\) [36]
\(\int \genfrac {}{}{}{}{9+6 x+4 x^2}{729-64 x^6} \, dx\) [37]
\(\int \genfrac {}{}{}{}{27-8 x^3}{729-64 x^6} \, dx\) [38]
\(\int \genfrac {}{}{}{}{27+36 x+24 x^2+8 x^3}{729-64 x^6} \, dx\) [39]
\(\int \genfrac {}{}{}{}{243-162 x+108 x^2-72 x^3+48 x^4-32 x^5}{(729-64 x^6)^2} \, dx\) [40]
\(\int \genfrac {}{}{}{}{243+162 x+108 x^2+72 x^3+48 x^4+32 x^5}{(729-64 x^6)^2} \, dx\) [41]
\(\int \genfrac {}{}{}{}{81+36 x^2+16 x^4}{(729-64 x^6)^2} \, dx\) [42]
\(\int \genfrac {}{}{}{}{81+54 x-24 x^3-16 x^4}{(729-64 x^6)^2} \, dx\) [43]
\(\int \genfrac {}{}{}{}{3-2 x}{(729-64 x^6)^2} \, dx\) [44]
\(\int \genfrac {}{}{}{}{3+2 x}{(729-64 x^6)^2} \, dx\) [45]
\(\int \genfrac {}{}{}{}{9-6 x+4 x^2}{(729-64 x^6)^2} \, dx\) [46]
\(\int \genfrac {}{}{}{}{9+6 x+4 x^2}{(729-64 x^6)^2} \, dx\) [47]
\(\int \genfrac {}{}{}{}{27-8 x^3}{(729-64 x^6)^2} \, dx\) [48]
\(\int \genfrac {}{}{}{}{27+36 x+24 x^2+8 x^3}{(729-64 x^6)^2} \, dx\) [49]
\(\int \genfrac {}{}{}{}{6+8 x+9 x^2+8 x^3+6 x^4}{1+x^6} \, dx\) [50]
\(\int \genfrac {}{}{}{}{7+8 x+9 x^2+8 x^3+5 x^4}{1+x^6} \, dx\) [51]
\(\int \genfrac {}{}{}{}{x^7+x^8+x^9+x^{10}+x^{11}+x^{12}}{(1+x^6)^3} \, dx\) [52]
\(\int \genfrac {}{}{}{}{1+x^4}{\sqrt {1-x^6}} \, dx\) [53]
\(\int (c+d x^{-1+n}) (a+b x^n)^3 \, dx\) [54]
\(\int (c+d x^{-1+n}) (a+b x^n)^2 \, dx\) [55]
\(\int (c+d x^{-1+n}) (a+b x^n) \, dx\) [56]
\(\int (c+d x^{-1+n}) \, dx\) [57]
\(\int \genfrac {}{}{}{}{c+d x^{-1+n}}{a+b x^n} \, dx\) [58]
\(\int \genfrac {}{}{}{}{c+d x^{-1+n}}{(a+b x^n)^2} \, dx\) [59]
\(\int \genfrac {}{}{}{}{c+d x^{-1+n}}{(a+b x^n)^3} \, dx\) [60]
\(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n}{a+b x^n} \, dx\) [61]
\(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n}{(a+b x^n)^2} \, dx\) [62]
\(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n}{(a+b x^n)^3} \, dx\) [63]
\(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n+f x^{3 n/2}}{a+b x^n} \, dx\) [64]
\(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n+f x^{3 n/2}}{(a+b x^n)^2} \, dx\) [65]
\(\int \genfrac {}{}{}{}{c+d x^{n/2}+e x^n+f x^{3 n/2}}{(a+b x^n)^3} \, dx\) [66]
\(\int (a+b x^n)^p \, dx\) [67]
\(\int (a+b x^n)^p (A+B x^n) \, dx\) [68]
\(\int (a+b x^n)^p (A+B x^n+C x^{2 n}) \, dx\) [69]
\(\int (a+b x^n)^p (A+B x^n+C x^{2 n}+D x^{3 n}) \, dx\) [70]