3.1 Integrals 1 to 75

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