\(\int (b+2 c x+3 d x^2+4 e x^3) (b x+c x^2+d x^3+e x^4)^2 \, dx\) [1]
\(\int (b+2 c x+3 d x^2+4 e x^3) (b x+c x^2+d x^3+e x^4) \, dx\) [2]
\(\int \genfrac {}{}{}{}{b+2 c x+3 d x^2+4 e x^3}{b x+c x^2+d x^3+e x^4} \, dx\) [3]
\(\int \genfrac {}{}{}{}{b+2 c x+3 d x^2+4 e x^3}{(b x+c x^2+d x^3+e x^4)^2} \, dx\) [4]
\(\int \genfrac {}{}{}{}{b+2 c x+3 d x^2+4 e x^3}{(b x+c x^2+d x^3+e x^4)^3} \, dx\) [5]
\(\int (b+2 c x+3 d x^2+4 e x^3) (a+b x+c x^2+d x^3+e x^4)^2 \, dx\) [6]
\(\int (b+2 c x+3 d x^2+4 e x^3) (a+b x+c x^2+d x^3+e x^4) \, dx\) [7]
\(\int \genfrac {}{}{}{}{b+2 c x+3 d x^2+4 e x^3}{a+b x+c x^2+d x^3+e x^4} \, dx\) [8]
\(\int \genfrac {}{}{}{}{b+2 c x+3 d x^2+4 e x^3}{(a+b x+c x^2+d x^3+e x^4)^2} \, dx\) [9]
\(\int \genfrac {}{}{}{}{b+2 c x+3 d x^2+4 e x^3}{(a+b x+c x^2+d x^3+e x^4)^3} \, dx\) [10]
\(\int (b+2 c x+3 d x^2+4 e x^3) (b x+c x^2+d x^3+e x^4)^p \, dx\) [11]
\(\int (b+2 c x+3 d x^2+4 e x^3) (a+b x+c x^2+d x^3+e x^4)^p \, dx\) [12]
\(\int \genfrac {}{}{}{}{2+x-4 x^2+2 x^3}{1-x+x^2-x^3+x^4} \, dx\) [13]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{a+b x+c x^2+b x^3+a x^4} \, dx\) [14]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{88-402 x+855 x^2-837 x^3+324 x^4} \, dx\) [15]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(88-402 x+855 x^2-837 x^3+324 x^4)^2} \, dx\) [16]
\(\int \genfrac {}{}{}{}{3 x+3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\) [17]
\(\int \genfrac {}{}{}{}{-1+3 x-3 x^2+x^3}{1+4 x+6 x^2+4 x^3+x^4} \, dx\) [18]
\(\int \genfrac {}{}{}{}{9-40 x-18 x^2+174 x^4+24 x^5+26 x^6-39 x^8}{(3+2 x^2+x^4)^3} \, dx\) [19]
\(\int x (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [20]
\(\int x (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [21]
\(\int x (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [22]
\(\int x (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [23]
\(\int \genfrac {}{}{}{}{x}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [24]
\(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [25]
\(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\) [26]
\(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [27]
\(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [28]
\(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [29]
\(\int x^2 (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [30]
\(\int \genfrac {}{}{}{}{x^2}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [31]
\(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [32]
\(\int x (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [33]
\(\int x \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [34]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{x}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [37]
\(\int x^2 (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [38]
\(\int x^2 \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [39]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{x^2}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{x^3}{a+b (c+d x)^4} \, dx\) [43]
\(\int \genfrac {}{}{}{}{x^2}{a+b (c+d x)^4} \, dx\) [44]
\(\int \genfrac {}{}{}{}{x}{a+b (c+d x)^4} \, dx\) [45]
\(\int \genfrac {}{}{}{}{1}{a+b (c+d x)^4} \, dx\) [46]
\(\int \genfrac {}{}{}{}{1}{x (a+b (c+d x)^4)} \, dx\) [47]
\(\int \genfrac {}{}{}{}{1}{x^2 (a+b (c+d x)^4)} \, dx\) [48]
\(\int \genfrac {}{}{}{}{x^4 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\) [49]
\(\int \genfrac {}{}{}{}{x^3 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\) [50]
\(\int \genfrac {}{}{}{}{x^2 (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\) [51]
\(\int \genfrac {}{}{}{}{x (5+x+3 x^2+2 x^3)}{2+x+3 x^2+x^3+2 x^4} \, dx\) [52]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{2+x+3 x^2+x^3+2 x^4} \, dx\) [53]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{x (2+x+3 x^2+x^3+2 x^4)} \, dx\) [54]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{x^2 (2+x+3 x^2+x^3+2 x^4)} \, dx\) [55]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{x^3 (2+x+3 x^2+x^3+2 x^4)} \, dx\) [56]
\(\int \genfrac {}{}{}{}{x^3 (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\) [57]
\(\int \genfrac {}{}{}{}{x^2 (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\) [58]
\(\int \genfrac {}{}{}{}{x (5+x+3 x^2+2 x^3)}{2+x+5 x^2+x^3+2 x^4} \, dx\) [59]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{2+x+5 x^2+x^3+2 x^4} \, dx\) [60]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{x (2+x+5 x^2+x^3+2 x^4)} \, dx\) [61]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{x^2 (2+x+5 x^2+x^3+2 x^4)} \, dx\) [62]
\(\int \genfrac {}{}{}{}{5+x+3 x^2+2 x^3}{x^3 (2+x+5 x^2+x^3+2 x^4)} \, dx\) [63]
\(\int x^3 (1+x)^3 (1+2 x) \sqrt {1-x^2-2 x^3-x^4} \, dx\) [64]
\(\int (1+2 x) (x+x^2)^3 \sqrt {1-(x+x^2)^2} \, dx\) [65]
\(\int \genfrac {}{}{}{}{e f-e f x^2}{(a d+b d x+a d x^2) \sqrt {a+b x+c x^2+b x^3+a x^4}} \, dx\) [66]
\(\int \genfrac {}{}{}{}{e f-e f x^2}{(-a d+b d x-a d x^2) \sqrt {-a+b x+c x^2+b x^3-a x^4}} \, dx\) [67]