3.6.1 \(\int \frac {-3+2 x}{\sqrt [4]{-x+x^2} (1-x+x^3)} \, dx\)
  3.6.2 \(\int \frac {(-1+x^2) \sqrt {x+x^3}}{(1+x^2) (1+x+x^2)^2} \, dx\)
  3.6.3 \(\int \frac {(-2+x^3) \sqrt {2+x^2+2 x^3}}{(1+x^3) (1+x^2+x^3)} \, dx\)
  3.6.4 \(\int \frac {b+a x^2}{(-b+c x+a x^2) \sqrt {-b x+a x^3}} \, dx\)
  3.6.5 \(\int x \sqrt {-1+x^4} \, dx\)
  3.6.6 \(\int \frac {\sqrt {-x+x^4}}{x^3} \, dx\)
  3.6.7 \(\int x^3 \sqrt {x+x^4} \, dx\)
  3.6.8 \(\int \frac {1+x}{\sqrt {16+18 x+13 x^2+4 x^3+x^4}} \, dx\)
  3.6.9 \(\int \frac {\sqrt {-1+x^5} (2+3 x^5)}{x^2 (-1-a x^2+x^5)} \, dx\)
  3.6.10 \(\int x \sqrt {-x+x^6} \, dx\)
  3.6.11 \(\int \frac {(1+x^5) (-1+4 x^5)}{x (1-a x+x^5) \sqrt {x+x^6}} \, dx\)
  3.6.12 \(\int \frac {1}{\sqrt {x-\sqrt {-1+x^2}}} \, dx\)
  3.6.13 \(\int \frac {1+x^2}{(-1+2 x+x^2) \sqrt {-x-x^2+x^3}} \, dx\)
  3.6.14 \(\int \frac {(2+x^3) \sqrt {-1+x^2+x^3}}{(-1+x^3)^2} \, dx\)
  3.6.15 \(\int \frac {2+x^2}{(-2+x^2) \sqrt {-2 x+2 x^2+x^3}} \, dx\)
  3.6.16 \(\int \frac {2+x}{(-1+x) \sqrt {-1+3 x+a x^2+x^3}} \, dx\)
  3.6.17 \(\int \frac {-2+x}{(1+x) \sqrt {1+3 x+a x^2+x^3}} \, dx\)
  3.6.18 \(\int \frac {x (3 a b-2 (a+b) x+x^2)}{\sqrt {x (-a+x) (-b+x)} (-a b d+(a+b) d x-d x^2+x^3)} \, dx\)
  3.6.19 \(\int \frac {3 a b x-2 (a+b) x^2+x^3}{\sqrt {x (-a+x) (-b+x)} (-a b+(a+b) x-x^2+d x^3)} \, dx\)
  3.6.20 \(\int \frac {(-1+x^2) \sqrt {1+2 x^2+x^4}}{(1+x^2) (1+x^4)} \, dx\)
  3.6.21 \(\int \frac {-1+x}{\sqrt {-7+4 x+14 x^2-12 x^3+x^4}} \, dx\)
  3.6.22 \(\int \frac {1-2 k^2 x^2+k^2 x^4}{x^2 \sqrt {(1-x^2) (1-k^2 x^2)} (-1+k^2 x^2)} \, dx\)
  3.6.23 \(\int \frac {-2+x^6}{x \sqrt {-1+x^6} (2+x^6)} \, dx\)
  3.6.24 \(\int \frac {(2+x^3) (1+x^3+x^6)}{x \sqrt {1+x^3}} \, dx\)
  3.6.25 \(\int \frac {4 x+3 x^2}{\sqrt {-5+4 x^2+2 x^3+4 x^4+4 x^5+x^6}} \, dx\)
  3.6.26 \(\int \frac {x^2 \sqrt {q+p x^5} (-2 q+3 p x^5)}{b x^6+a (q+p x^5)^3} \, dx\)
  3.6.27 \(\int \frac {x^8}{\sqrt {-b+a x^3}} \, dx\)
  3.6.28 \(\int x^5 \sqrt {-b+a x^3} \, dx\)
  3.6.29 \(\int \frac {2 b+a x^3}{\sqrt {-b+a x^3} (-2 b-3 x^2+2 a x^3)} \, dx\)
  3.6.30 \(\int \frac {(-1+x^4) \sqrt {1+x^4} (1+x^2+x^4)}{x^4 (1-x^2+x^4)} \, dx\)
  3.6.31 \(\int \frac {4 c+3 b x+2 a x^2}{\sqrt [4]{c+b x+a x^2} (-c-b x-a x^2+x^4)} \, dx\)
  3.6.32 \(\int \frac {(2+x^3) (1+x^3+x^6)}{x^4 \sqrt {1+x^3}} \, dx\)
  3.6.33 \(\int \frac {\sqrt {-1+x^3} (-2+x^3+2 x^6)}{x^{10}} \, dx\)
  3.6.34 \(\int \frac {-4+13 x^6}{x \sqrt {-1+x^6} (-1+4 x^6)} \, dx\)
  3.6.35 \(\int \frac {-b+2 a x^3}{(b-x+a x^3) \sqrt [4]{b x^3+a x^6}} \, dx\)
  3.6.36 \(\int \frac {x^3 (b+2 a x^5)}{\sqrt [4]{b x+a x^6} (-1+b x^5+a x^{10})} \, dx\)
  3.6.37 \(\int \frac {\sqrt [4]{1+x^3}}{x} \, dx\)
  3.6.38 \(\int \frac {-2 a q+3 b p x^2+a p x^3}{\sqrt {q+p x^3} (b^2 c+d q+2 a b c x+a^2 c x^2+d p x^3)} \, dx\)
  3.6.39 \(\int \frac {(-1+x^3) \sqrt {-1+x^6}}{x^7 (1+x^3)} \, dx\)
  3.6.40 \(\int \frac {(1+x^3) \sqrt {-1+x^6}}{x^7 (-1+x^3)} \, dx\)
  3.6.41 \(\int \frac {\sqrt [4]{1+x^6}}{x} \, dx\)
  3.6.42 \(\int \frac {1+x^{12}}{x^4 \sqrt {-1+x^6}} \, dx\)
  3.6.43 \(\int \frac {1}{x^{10} \sqrt {1+x^3}} \, dx\)
  3.6.44 \(\int \frac {-1+x^3}{x^6 \sqrt [3]{x^2+x^3}} \, dx\)
  3.6.45 \(\int \frac {(-2+x^3) \sqrt {1+x^3} (2+x^2+2 x^3)}{x^4 (1+x^2+x^3)} \, dx\)
  3.6.46 \(\int \frac {(-1+x^4) \sqrt {1+x^2+x^4}}{(1+x^4) (1-x^2+x^4)} \, dx\)
  3.6.47 \(\int \frac {\sqrt {1+x+x^2+x^4} (-2-x+2 x^4)}{(1+x+x^4)^2} \, dx\)
  3.6.48 \(\int \frac {(-1+x^4) (1+3 x^4)}{x (-1-a x+x^4) \sqrt {-x+x^5}} \, dx\)
  3.6.49 \(\int \frac {1}{x^{19} \sqrt {-1+x^6}} \, dx\)
  3.6.50 \(\int \frac {x^{14}}{\sqrt {-1+x^6}} \, dx\)
  3.6.51 \(\int \frac {\sqrt {-1+x^6}}{x^{19}} \, dx\)
  3.6.52 \(\int x^8 \sqrt {-1+x^6} \, dx\)
  3.6.53 \(\int \frac {-1+x^6}{\sqrt {1+x^4} (1+x^6)} \, dx\)
  3.6.54 \(\int \frac {x^{14}}{\sqrt {1+x^6}} \, dx\)
  3.6.55 \(\int \frac {-1+x^6}{x^{19} \sqrt {1+x^6}} \, dx\)
  3.6.56 \(\int \frac {1+x^6}{\sqrt {1+x^4} (1-x^6)} \, dx\)
  3.6.57 \(\int \frac {1+x^6}{\sqrt {1+x^4} (-1+x^6)} \, dx\)
  3.6.58 \(\int \frac {(-1+x^5) (1+4 x^5)}{x (-1-a x+x^5) \sqrt {-x+x^6}} \, dx\)
  3.6.59 \(\int \frac {(2+x^3) (1+x^3+x^6)}{x^7 \sqrt {1+x^3}} \, dx\)
  3.6.60 \(\int \frac {-x+4 x^6}{(1+x^5) (a-x+a x^5) \sqrt {x+x^6}} \, dx\)
  3.6.61 \(\int \frac {2+x^3+x^6}{x \sqrt [4]{1+x^6} (-4+5 x^3-4 x^6+x^9)} \, dx\)
  3.6.62 \(\int \sqrt [5]{243-5265 x+47250 x^2-225810 x^3+615255 x^4-954733 x^5+820340 x^6-401440 x^7+112000 x^8-16640 x^9+1024 x^{10}} \, dx\)
  3.6.63 \(\int \frac {-b x^3+2 a x^8}{\sqrt [4]{-b x+a x^6} (-1-b x^5+a x^{10})} \, dx\)
  3.6.64 \(\int \frac {x^5 (-7 b+10 a x^3)}{\sqrt [4]{-b x^3+a x^6} (-1-b x^7+a x^{10})} \, dx\)
  3.6.65 \(\int \frac {1}{x \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}} \sqrt {a x^2+b x \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}}} \, dx\)
  3.6.66 \(\int \frac {a b-2 a x+x^2}{\sqrt {x (-a+x) (-b+x)} (a d-(b+d) x+x^2)} \, dx\)
  3.6.67 \(\int \frac {a b-2 a x+x^2}{\sqrt {x (-a+x) (-b+x)} (a-(1+b d) x+d x^2)} \, dx\)
  3.6.68 \(\int \frac {(-2+x^3) \sqrt {1-x^2+x^3}}{(1+x^3)^2} \, dx\)
  3.6.69 \(\int \frac {a^2 b-a (2 a-b) x-(-a+2 b) x^2+x^3}{\sqrt {x (-a+x) (-b+x)} (-a^3+(3 a^2+b d) x-(3 a+d) x^2+x^3)} \, dx\)
  3.6.70 \(\int \frac {a^2 b-a (2 a-b) x-(-a+2 b) x^2+x^3}{\sqrt {x (-a+x) (-b+x)} (-a^3 d+(b+3 a^2 d) x-(1+3 a d) x^2+d x^3)} \, dx\)
  3.6.71 \(\int \frac {-3 x+2 x^2}{(-2+2 x+x^3) \sqrt {-2 x+2 x^2+3 x^4}} \, dx\)
  3.6.72 \(\int \frac {4 a q x-3 b p x^2+a p x^4}{\sqrt {q+p x^3} (b^2 c+d q+2 a b c x^2+d p x^3+a^2 c x^4)} \, dx\)
  3.6.73 \(\int \frac {1+x^{12}}{x^{10} \sqrt {-1+x^6}} \, dx\)
  3.6.74 \(\int \frac {-1+x^2}{(1+x^2) \sqrt [10]{1+5 x^4+10 x^8+10 x^{12}+5 x^{16}+x^{20}}} \, dx\)
  3.6.75 \(\int \frac {\sqrt {b+\sqrt {b^2+a x^2}}}{b^2+a x^2} \, dx\)
  3.6.76 \(\int \frac {\sqrt {x^2+\sqrt {1+x^4}}}{\sqrt {1+x^4}} \, dx\)
  3.6.77 \(\int \frac {1}{x^3 (1+x^2)^{3/4}} \, dx\)
  3.6.78 \(\int \frac {1}{x^4 \sqrt [4]{1+x^3}} \, dx\)
  3.6.79 \(\int \frac {\sqrt [4]{1+x^3}}{x^4} \, dx\)
  3.6.80 \(\int x^3 \sqrt {-x+x^4} \, dx\)
  3.6.81 \(\int \frac {(1+x^4) (-1+3 x^4)}{x (1-a x+x^4) \sqrt {x+x^5}} \, dx\)
  3.6.82 \(\int \frac {\sqrt {1+x^2+x^5} (-2+3 x^5)}{(1+x^5) (1-x^2+x^5)} \, dx\)
  3.6.83 \(\int \frac {\sqrt [4]{1+x^6}}{x^7} \, dx\)
  3.6.84 \(\int \frac {(-1+x)^2 (-10-8 x+5 x^2+5 x^3)}{(\frac {1+x}{-2+x^2})^{3/4} (-2+x^2) (-3+7 x-11 x^2+4 x^3+4 x^4-4 x^5+x^6)} \, dx\)
  3.6.85 \(\int \frac {x^2 (10 b+9 a x)}{\sqrt [4]{b x^2+a x^3} (-b-a x+x^{10})} \, dx\)
  3.6.86 \(\int \frac {-1+x^{16}}{\sqrt {1+x^4} (1+x^{16})} \, dx\)
  3.6.87 \(\int \frac {-1+x^{16}}{\sqrt {-1+x^4} (1-x^8+x^{16})} \, dx\)
  3.6.88 \(\int \frac {\sqrt {x^2+x \sqrt {-1+x^2}}}{x \sqrt {-1+x^2}} \, dx\)
  3.6.89 \(\int x^6 \sqrt {x+x^4} \, dx\)
  3.6.90 \(\int \frac {(-1+x) (1+x)^3}{(1+x^2)^2 \sqrt {1+x^2+x^4}} \, dx\)
  3.6.91 \(\int \frac {-1+x^2}{(1+x^2) \sqrt {1-x-x^2-x^3+x^4}} \, dx\)
  3.6.92 \(\int \frac {-1-2 x+3 x^2}{\sqrt {-3-2 x-x^2+4 x^3-x^4-2 x^5+x^6}} \, dx\)
  3.6.93 \(\int \frac {-x+x^2}{\sqrt {-2 x+4 x^2-2 x^3+x^4-2 x^5+x^6}} \, dx\)
  3.6.94 \(\int \frac {\sqrt [4]{-1+x^4}}{x^2} \, dx\)
  3.6.95 \(\int \frac {(-1+x^4) \sqrt [4]{1+x^4}}{x} \, dx\)
  3.6.96 \(\int \frac {1}{\sqrt {3+4 x+x^4}} \, dx\)
  3.6.97 \(\int \frac {(1+x^4) \sqrt {-1+2 x^2+x^4}}{(-1+x^4) (-1+x^2+x^4)} \, dx\)
  3.6.98 \(\int \frac {\sqrt {-1+x-x^2+x^4} (2-x+2 x^4)}{(-1+x+x^4)^2} \, dx\)
  3.6.99 \(\int \frac {x+3 x^5}{(-1+x^4) (-a-x+a x^4) \sqrt {-x+x^5}} \, dx\)
  3.6.100 \(\int \frac {\sqrt {1+x^2+x^6} (-1+2 x^6)}{(1+x^6) (2-x^2+2 x^6)} \, dx\)