\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a+b x)^2 (c+d x)^2} \, dx\) [1]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(a c+(b c+a d) x+b d x^2)^2} \, dx\) [2]
\(\int (a+b x+c x^2)^4 (A+C x^2) \, dx\) [3]
\(\int (a+b x+c x^2)^3 (A+C x^2) \, dx\) [4]
\(\int (a+b x+c x^2)^2 (A+C x^2) \, dx\) [5]
\(\int (a+b x+c x^2) (A+C x^2) \, dx\) [6]
\(\int \genfrac {}{}{}{}{A+C x^2}{a+b x+c x^2} \, dx\) [7]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^2} \, dx\) [8]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^3} \, dx\) [9]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^4} \, dx\) [10]
\(\int \genfrac {}{}{}{}{1+x^2}{1+x+x^2} \, dx\) [11]
\(\int \genfrac {}{}{}{}{1-x^2}{(1+x+x^2)^2} \, dx\) [12]
\(\int \genfrac {}{}{}{}{-1+x^2}{25-6 x+x^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{-10+3 x^2}{4-4 x+x^2} \, dx\) [14]
\(\int \genfrac {}{}{}{}{8+x^2}{6-5 x+x^2} \, dx\) [15]
\(\int \genfrac {}{}{}{}{-4+3 x+x^2}{-8-2 x+x^2} \, dx\) [16]
\(\int \genfrac {}{}{}{}{7+5 x+4 x^2}{5+4 x+4 x^2} \, dx\) [17]
\(\int \genfrac {}{}{}{}{2-x+x^2}{-5+2 x+x^2} \, dx\) [18]
\(\int \genfrac {}{}{}{}{1+4 x+3 x^2}{(4+7 x+2 x^2)^2} \, dx\) [19]
\(\int \genfrac {}{}{}{}{1+x+x^2}{(3+2 x+x^2)^2} \, dx\) [20]
\(\int \genfrac {}{}{}{}{-1+2 x+5 x^2}{(1+x+x^2)^4} \, dx\) [21]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3+h x^4+i x^5}{(a+b x+c x^2)^3} \, dx\) [22]
\(\int \genfrac {}{}{}{}{d+e x+f x^2+g x^3+h x^4+j x^5+k x^6+l x^7+m x^8}{a+b x+c x^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{-3+x^3}{-7-6 x+x^2} \, dx\) [24]
\(\int \genfrac {}{}{}{}{1+x^3}{(13+4 x+x^2)^2} \, dx\) [25]
\(\int (a+b x+c x^2)^{5/2} (A+C x^2) \, dx\) [26]
\(\int (a+b x+c x^2)^{3/2} (A+C x^2) \, dx\) [27]
\(\int \sqrt {a+b x+c x^2} (A+C x^2) \, dx\) [28]
\(\int \genfrac {}{}{}{}{A+C x^2}{\sqrt {a+b x+c x^2}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^{3/2}} \, dx\) [30]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^{5/2}} \, dx\) [31]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^{7/2}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{A+C x^2}{(a+b x+c x^2)^{9/2}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{(d+e x)^2 (f+g x)}{(a+b x+c x^2)^{5/2}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{d^2 f+d (2 e f+d g) x+e (e f+2 d g) x^2+e^2 g x^3}{(a+b x+c x^2)^{5/2}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{(d+e x)^4 (f+g x)}{(a+b x+c x^2)^{7/2}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{d^4 f+d^3 (4 e f+d g) x+2 d^2 e (3 e f+2 d g) x^2+2 d e^2 (2 e f+3 d g) x^3+e^3 (e f+4 d g) x^4+e^4 g x^5}{(a+b x+c x^2)^{7/2}} \, dx\) [37]