3.1 Integrals 1 to 34

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