\(\int \genfrac {}{}{}{}{x^2 (a+b x+c x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^2 \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^3 \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^4 \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^5 \sqrt {1-d x} \sqrt {1+d x}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{x^2 (a+b x+c x^2)}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{x (a+b x+c x^2)}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^2 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^3 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^4 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{x^5 \sqrt {-1+d x} \sqrt {1+d x}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{x^5 (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{x^3 (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{x (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^3 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^5 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^7 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [23]
\(\int \genfrac {}{}{}{}{x^2 (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\) [24]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\) [25]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^2 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^4 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^6 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^8 \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{a+b x^2+c x^4}{x^{10} \sqrt {d-e x} \sqrt {d+e x}} \, dx\) [30]
\(\int \sqrt {1-d x} \sqrt {1+d x} (e+f x)^3 (A+B x+C x^2) \, dx\) [31]
\(\int \sqrt {1-d x} \sqrt {1+d x} (e+f x)^2 (A+B x+C x^2) \, dx\) [32]
\(\int \sqrt {1-d x} \sqrt {1+d x} (e+f x) (A+B x+C x^2) \, dx\) [33]
\(\int \sqrt {1-d x} \sqrt {1+d x} (A+B x+C x^2) \, dx\) [34]
\(\int \genfrac {}{}{}{}{\sqrt {1-d x} \sqrt {1+d x} (A+B x+C x^2)}{e+f x} \, dx\) [35]
\(\int \genfrac {}{}{}{}{\sqrt {1-d x} \sqrt {1+d x} (A+B x+C x^2)}{(e+f x)^2} \, dx\) [36]
\(\int \genfrac {}{}{}{}{\sqrt {1-d x} \sqrt {1+d x} (A+B x+C x^2)}{(e+f x)^3} \, dx\) [37]
\(\int \genfrac {}{}{}{}{(e+f x)^3 (A+B x+C x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{(e+f x)^2 (A+B x+C x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{(e+f x) (A+B x+C x^2)}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)} \, dx\) [42]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)^2} \, dx\) [43]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {1-d x} \sqrt {1+d x} (e+f x)^3} \, dx\) [44]
\(\int \sqrt {a+b x} \sqrt {a c-b c x} (e+f x)^3 (A+B x+C x^2) \, dx\) [45]
\(\int \sqrt {a+b x} \sqrt {a c-b c x} (e+f x)^2 (A+B x+C x^2) \, dx\) [46]
\(\int \sqrt {a+b x} \sqrt {a c-b c x} (e+f x) (A+B x+C x^2) \, dx\) [47]
\(\int \sqrt {a+b x} \sqrt {a c-b c x} (A+B x+C x^2) \, dx\) [48]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {a c-b c x} (A+B x+C x^2)}{e+f x} \, dx\) [49]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {a c-b c x} (A+B x+C x^2)}{(e+f x)^2} \, dx\) [50]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {a c-b c x} (A+B x+C x^2)}{(e+f x)^3} \, dx\) [51]
\(\int \genfrac {}{}{}{}{(e+f x)^3 (A+B x+C x^2)}{\sqrt {a+b x} \sqrt {a c-b c x}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{(e+f x)^2 (A+B x+C x^2)}{\sqrt {a+b x} \sqrt {a c-b c x}} \, dx\) [53]
\(\int \genfrac {}{}{}{}{(e+f x) (A+B x+C x^2)}{\sqrt {a+b x} \sqrt {a c-b c x}} \, dx\) [54]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {a c-b c x}} \, dx\) [55]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {a c-b c x} (e+f x)} \, dx\) [56]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {a c-b c x} (e+f x)^2} \, dx\) [57]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {a c-b c x} (e+f x)^3} \, dx\) [58]
\(\int \genfrac {}{}{}{}{a+b x+c x^2}{\sqrt {-1+x} \sqrt {1+x} (d+e x)^3} \, dx\) [59]
\(\int \genfrac {}{}{}{}{4+3 x+x^2}{(-3+x) (-2+x) (-1+x)} \, dx\) [60]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x) (c+d x) (e+f x)} \, dx\) [61]
\(\int \genfrac {}{}{}{}{(c+d x) (e+f x) (A+B x+C x^2)}{\sqrt {a+b x}} \, dx\) [62]
\(\int (a+b x)^2 \sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2) \, dx\) [63]
\(\int (a+b x) \sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2) \, dx\) [64]
\(\int \sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2) \, dx\) [65]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{a+b x} \, dx\) [66]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{(a+b x)^2} \, dx\) [67]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{(a+b x)^3} \, dx\) [68]
\(\int \genfrac {}{}{}{}{(a+b x)^2 \sqrt {c+d x} (A+B x+C x^2)}{\sqrt {e+f x}} \, dx\) [69]
\(\int \genfrac {}{}{}{}{(a+b x) \sqrt {c+d x} (A+B x+C x^2)}{\sqrt {e+f x}} \, dx\) [70]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{\sqrt {e+f x}} \, dx\) [71]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x) \sqrt {e+f x}} \, dx\) [72]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x)^2 \sqrt {e+f x}} \, dx\) [73]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x)^3 \sqrt {e+f x}} \, dx\) [74]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x)^4 \sqrt {e+f x}} \, dx\) [75]
\(\int \genfrac {}{}{}{}{(a+b x)^2 (A+B x+C x^2)}{\sqrt {c+d x} \sqrt {e+f x}} \, dx\) [76]
\(\int \genfrac {}{}{}{}{(a+b x) (A+B x+C x^2)}{\sqrt {c+d x} \sqrt {e+f x}} \, dx\) [77]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} \sqrt {e+f x}} \, dx\) [78]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x) \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [79]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^2 \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [80]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^3 \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [81]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^4 \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [82]
\(\int \sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2) \, dx\) [83]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{\sqrt {a+b x}} \, dx\) [84]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{(a+b x)^{3/2}} \, dx\) [85]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{(a+b x)^{5/2}} \, dx\) [86]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{(a+b x)^{7/2}} \, dx\) [87]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} \sqrt {e+f x} (A+B x+C x^2)}{(a+b x)^{9/2}} \, dx\) [88]
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2} \sqrt {c+d x} (A+B x+C x^2)}{\sqrt {e+f x}} \, dx\) [89]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} \sqrt {c+d x} (A+B x+C x^2)}{\sqrt {e+f x}} \, dx\) [90]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{\sqrt {a+b x} \sqrt {e+f x}} \, dx\) [91]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x)^{3/2} \sqrt {e+f x}} \, dx\) [92]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x)^{5/2} \sqrt {e+f x}} \, dx\) [93]
\(\int \genfrac {}{}{}{}{\sqrt {c+d x} (A+B x+C x^2)}{(a+b x)^{7/2} \sqrt {e+f x}} \, dx\) [94]
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2} (A+B x+C x^2)}{\sqrt {c+d x} \sqrt {e+f x}} \, dx\) [95]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x} (A+B x+C x^2)}{\sqrt {c+d x} \sqrt {e+f x}} \, dx\) [96]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {a+b x} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [97]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^{3/2} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [98]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^{5/2} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [99]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(a+b x)^{7/2} \sqrt {c+d x} \sqrt {e+f x}} \, dx\) [100]