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