3.1 Integrals 1 to 91

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