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