\(\int \genfrac {}{}{}{}{(3-4 x^2)^{5/2} (4+6 x-2 x^2)}{(5-3 x) \sqrt {1+2 x}} \, dx\) [1]
\(\int \genfrac {}{}{}{}{(3-4 x^2)^{3/2} (4+6 x-2 x^2)}{(5-3 x) \sqrt {1+2 x}} \, dx\) [2]
\(\int \genfrac {}{}{}{}{\sqrt {3-4 x^2} (4+6 x-2 x^2)}{(5-3 x) \sqrt {1+2 x}} \, dx\) [3]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} \sqrt {3-4 x^2}} \, dx\) [4]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} (3-4 x^2)^{3/2}} \, dx\) [5]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} (3-4 x^2)^{5/2}} \, dx\) [6]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} (3-4 x^2)^{7/2}} \, dx\) [7]
\(\int \genfrac {}{}{}{}{(4+6 x-2 x^2) (3+4 x^2)^{5/2}}{(5-3 x) \sqrt {1+2 x}} \, dx\) [8]
\(\int \genfrac {}{}{}{}{(4+6 x-2 x^2) (3+4 x^2)^{3/2}}{(5-3 x) \sqrt {1+2 x}} \, dx\) [9]
\(\int \genfrac {}{}{}{}{(4+6 x-2 x^2) \sqrt {3+4 x^2}}{(5-3 x) \sqrt {1+2 x}} \, dx\) [10]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} \sqrt {3+4 x^2}} \, dx\) [11]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} (3+4 x^2)^{3/2}} \, dx\) [12]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} (3+4 x^2)^{5/2}} \, dx\) [13]
\(\int \genfrac {}{}{}{}{4+6 x-2 x^2}{(5-3 x) \sqrt {1+2 x} (3+4 x^2)^{7/2}} \, dx\) [14]
\(\int \genfrac {}{}{}{}{A C+(B C+A D) x^2+B D x^4}{\sqrt {a-b x} \sqrt {a+b x}} \, dx\) [15]
\(\int \genfrac {}{}{}{}{(A+B x^2) (C+D x^2)}{\sqrt {a-b x} \sqrt {a+b x}} \, dx\) [16]
\(\int \genfrac {}{}{}{}{x^3 (2+3 x^2+5 x^4)}{\sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [17]
\(\int \genfrac {}{}{}{}{x (2+3 x^2+5 x^4)}{\sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [18]
\(\int \genfrac {}{}{}{}{2+3 x^2+5 x^4}{x \sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [19]
\(\int \genfrac {}{}{}{}{2+3 x^2+5 x^4}{x^3 \sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [20]
\(\int \genfrac {}{}{}{}{2+3 x^2+5 x^4}{x^5 \sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [21]
\(\int \genfrac {}{}{}{}{2+3 x^2+5 x^4}{x^7 \sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [22]
\(\int \genfrac {}{}{}{}{x^2 (2+3 x^2+5 x^4)}{\sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [23]
\(\int \genfrac {}{}{}{}{2+3 x^2+5 x^4}{\sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [24]
\(\int \genfrac {}{}{}{}{2+3 x^2+5 x^4}{x^2 \sqrt {-1+3 x} \sqrt {1+3 x} \sqrt {2+x^2}} \, dx\) [25]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {c+d x} (e+f x) \sqrt {b c^2-b d^2 x^2}} \, dx\) [26]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (e+f x) \sqrt {b c^2-b d^2 x^2}} \, dx\) [27]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (e+f x)^2 \sqrt {b c^2-b d^2 x^2}} \, dx\) [28]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (e+f x)^3 \sqrt {b c^2-b d^2 x^2}} \, dx\) [29]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} (e+f x) \sqrt {b c^2-b d^2 x^2}} \, dx\) [30]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} (e+f x)^2 \sqrt {b c^2-b d^2 x^2}} \, dx\) [31]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c+d x) (c^2-d^2 x^2)^{3/2}} \, dx\) [32]
\(\int \genfrac {}{}{}{}{(c-d x) (A+B x+C x^2+D x^3)}{(c^2-d^2 x^2)^{5/2}} \, dx\) [33]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{(c-d x) (c+d x)^2 \sqrt {c^2-d^2 x^2}} \, dx\) [34]
\(\int \genfrac {}{}{}{}{A c+(B c-A d) x+(c C-B d) x^2-(C d-c D) x^3-d D x^4}{(c^2-d^2 x^2)^{5/2}} \, dx\) [35]
\(\int \genfrac {}{}{}{}{A c+(B c-A d) x+(c C-B d) x^2-(C d-c D) x^3-d D x^4}{(c-d x) (c+d x) (c^2-d^2 x^2)^{3/2}} \, dx\) [36]
\(\int \genfrac {}{}{}{}{A c+(B c-A d) x+(c C-B d) x^2-(C d-c D) x^3-d D x^4}{(c-d x)^2 (c+d x)^2 \sqrt {c^2-d^2 x^2}} \, dx\) [37]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {c+d x} (e+f x) \sqrt {a-b x^2}} \, dx\) [38]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (e+f x) \sqrt {a-b x^2}} \, dx\) [39]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} (e+f x) \sqrt {a-b x^2}} \, dx\) [40]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {c+d x} (e+f x) \sqrt {a+b x^2}} \, dx\) [41]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{\sqrt {c+d x} (e+f x) \sqrt {a+b x^2}} \, dx\) [42]
\(\int \genfrac {}{}{}{}{A+B x+C x^2+D x^3}{\sqrt {c+d x} (e+f x) \sqrt {a+b x^2}} \, dx\) [43]
\(\int \genfrac {}{}{}{}{1}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [44]
\(\int \genfrac {}{}{}{}{x}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [45]
\(\int \genfrac {}{}{}{}{x^2}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [46]
\(\int \genfrac {}{}{}{}{A+B x}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [47]
\(\int \genfrac {}{}{}{}{A+C x^2}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [48]
\(\int \genfrac {}{}{}{}{B x+C x^2}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [49]
\(\int \genfrac {}{}{}{}{A+B x+C x^2}{(d+e x)^{3/2} \sqrt {f+g x} \sqrt {a-c x^2}} \, dx\) [50]