3.3.1 \(\int \frac {\sqrt [4]{-1+x^4-x^5} (-4+x^5)}{x^6} \, dx\)
  3.3.2 \(\int \frac {(1+x^8) \sqrt {-1-2 x^4+x^8}}{x^7} \, dx\)
  3.3.3 \(\int \frac {x^2 (-2+x^3) \sqrt {1+x^3}}{4+12 x^3+13 x^6+4 x^9} \, dx\)
  3.3.4 \(\int \frac {1}{(-1+x^2) \sqrt [3]{-x+x^3}} \, dx\)
  3.3.5 \(\int \frac {1}{(-1+x^3) \sqrt [4]{-x+x^4}} \, dx\)
  3.3.6 \(\int \frac {\sqrt {b+\sqrt {b^2+a x^2}}}{\sqrt {b^2+a x^2}} \, dx\)
  3.3.7 \(\int \frac {1}{x \sqrt [4]{1+x^2}} \, dx\)
  3.3.8 \(\int \frac {-5+2 x}{\sqrt [4]{4-4 x+x^2}} \, dx\)
  3.3.9 \(\int x^5 \sqrt [3]{1+x^3} \, dx\)
  3.3.10 \(\int \frac {(1+3 x^2) \sqrt [3]{-x+x^3}}{x^2} \, dx\)
  3.3.11 \(\int \frac {1}{(-1+x) \sqrt [3]{-x^2+x^3}} \, dx\)
  3.3.12 \(\int \frac {1}{x^2 \sqrt [3]{x^2+x^3}} \, dx\)
  3.3.13 \(\int \frac {(3+2 x^2) \sqrt {x+2 x^3}}{(1+2 x^2)^2} \, dx\)
  3.3.14 \(\int \frac {1}{x^6 (-1+x^4)^{3/4}} \, dx\)
  3.3.15 \(\int \frac {1}{x^4 (1+x^4)^{5/4}} \, dx\)
  3.3.16 \(\int \frac {1}{x^6 (1+x^4)^{3/4}} \, dx\)
  3.3.17 \(\int \frac {-1+x^4}{x^6 (1+x^4)^{3/4}} \, dx\)
  3.3.18 \(\int \frac {1+x^2}{(1-x^2) \sqrt {1+x^4}} \, dx\)
  3.3.19 \(\int \frac {-1+2 x+2 x^2}{(1+2 x) \sqrt {-x+x^4}} \, dx\)
  3.3.20 \(\int \frac {1}{x^5 \sqrt {x+x^4}} \, dx\)
  3.3.21 \(\int \frac {-1+x^3}{x^6 \sqrt [4]{x+x^4}} \, dx\)
  3.3.22 \(\int \frac {1+2 x^3}{x^6 \sqrt [4]{x+x^4}} \, dx\)
  3.3.23 \(\int \frac {-1+x^2}{(1+x^2) \sqrt [3]{x^2+x^4}} \, dx\)
  3.3.24 \(\int \frac {1}{(1+x^2) \sqrt [4]{x^2+x^4}} \, dx\)
  3.3.25 \(\int \frac {1}{(-1+x) \sqrt [4]{-x^3+x^4}} \, dx\)
  3.3.26 \(\int \frac {1}{x \sqrt {x^3+x^4}} \, dx\)
  3.3.27 \(\int \frac {1}{x^2 \sqrt [4]{x^3+x^4}} \, dx\)
  3.3.28 \(\int \frac {1+2 x}{\sqrt {3+x^2+2 x^3+x^4}} \, dx\)
  3.3.29 \(\int \frac {-1+2 x^4}{x^8 \sqrt [4]{-1+x^4}} \, dx\)
  3.3.30 \(\int \frac {1+2 x^4}{x^4 (1+x^4)^{5/4}} \, dx\)
  3.3.31 \(\int \frac {(1+4 x^3) (1+2 x+2 x^4)}{\sqrt {x+x^4}} \, dx\)
  3.3.32 \(\int \frac {-1+x^2}{(1+x^2) \sqrt [4]{x^3+x^5}} \, dx\)
  3.3.33 \(\int \frac {1}{x^{10} \sqrt {-1+x^6}} \, dx\)
  3.3.34 \(\int \frac {1+x^6}{x^{10} \sqrt {-1+x^6}} \, dx\)
  3.3.35 \(\int \frac {-1+3 x^4}{(1+x^4) \sqrt [3]{x^2+x^6}} \, dx\)
  3.3.36 \(\int \frac {-1+x^4}{(1+x^4) \sqrt [4]{x^2+x^6}} \, dx\)
  3.3.37 \(\int \frac {x^2 (3+2 x^2) (1+x^2+2 x^6)}{(1+x^2)^2 \sqrt {1+x^2+x^6}} \, dx\)
  3.3.38 \(\int \frac {1}{\sqrt {3-5 x+x^2+x^3}} \, dx\)
  3.3.39 \(\int \frac {-1+x}{(1+x) \sqrt {x+x^2+x^3}} \, dx\)
  3.3.40 \(\int \frac {-1+x^2}{(1+x^2) \sqrt {x+x^2+x^3}} \, dx\)
  3.3.41 \(\int \frac {-1+x^2}{(1+x^2) \sqrt {1+x^4}} \, dx\)
  3.3.42 \(\int \frac {1+x^2}{(-1+x^2) \sqrt {1+x^4}} \, dx\)
  3.3.43 \(\int \frac {2-3 x^5}{\sqrt {1+x^5} (1-a x^2+x^5)} \, dx\)
  3.3.44 \(\int \frac {2+3 x^5}{\sqrt {-1+x^5} (-1-a x^2+x^5)} \, dx\)
  3.3.45 \(\int \frac {2+3 x^5}{\sqrt {-1+x^5} (-a-x^2+a x^5)} \, dx\)
  3.3.46 \(\int \frac {-2+3 x^5}{\sqrt {1+x^5} (a-x^2+a x^5)} \, dx\)
  3.3.47 \(\int \frac {-1-2 x^2+2 x^4}{(1-x^2+x^4) \sqrt {1+x^6}} \, dx\)
  3.3.48 \(\int \frac {-1+4 x^5}{(1-a x+x^5) \sqrt {x+x^6}} \, dx\)
  3.3.49 \(\int \frac {-1+4 x^5}{(a-x+a x^5) \sqrt {x+x^6}} \, dx\)
  3.3.50 \(\int x^3 (-1+x^2)^{2/3} \, dx\)
  3.3.51 \(\int x^3 (-1+x^2)^{3/4} \, dx\)
  3.3.52 \(\int \frac {1}{x (1+x^2)^{3/4}} \, dx\)
  3.3.53 \(\int x^3 (1+x^2)^{3/4} \, dx\)
  3.3.54 \(\int x^5 \sqrt [3]{-1+x^3} \, dx\)
  3.3.55 \(\int x^5 (-1+x^3)^{3/4} \, dx\)
  3.3.56 \(\int \frac {x^8}{\sqrt [4]{1+x^3}} \, dx\)
  3.3.57 \(\int x^5 (1+x^3)^{2/3} \, dx\)
  3.3.58 \(\int \frac {1}{x^2 \sqrt [3]{-x^2+x^3}} \, dx\)
  3.3.59 \(\int x^7 (1+x^4)^{2/3} \, dx\)
  3.3.60 \(\int \frac {1}{x^5 \sqrt {-x+x^4}} \, dx\)
  3.3.61 \(\int \frac {1+x^3}{x^6 \sqrt [4]{-x+x^4}} \, dx\)
  3.3.62 \(\int \frac {1+x^2}{(-1+x^2) \sqrt [3]{-x^2+x^4}} \, dx\)
  3.3.63 \(\int \frac {1}{(-1+x^2) \sqrt [4]{-x^2+x^4}} \, dx\)
  3.3.64 \(\int \frac {1}{x^4 \sqrt [4]{x^2+x^4}} \, dx\)
  3.3.65 \(\int \frac {-1+2 x}{\sqrt {-3+x^2-2 x^3+x^4}} \, dx\)
  3.3.66 \(\int \frac {-1+2 x}{\sqrt {4+x^2-2 x^3+x^4}} \, dx\)
  3.3.67 \(\int \frac {-1+2 x}{\sqrt {13+x^2-2 x^3+x^4}} \, dx\)
  3.3.68 \(\int \frac {1}{x^2 \sqrt [4]{-x^3+x^4}} \, dx\)
  3.3.69 \(\int \frac {-1+x^4}{x^8 \sqrt [4]{-1+2 x^4}} \, dx\)
  3.3.70 \(\int \frac {1+x^2}{(-1+x^2) \sqrt [4]{-x^3+x^5}} \, dx\)
  3.3.71 \(\int \frac {1+3 x^4}{(-1+x^4) \sqrt [3]{-x^2+x^6}} \, dx\)
  3.3.72 \(\int \frac {1+x^4}{(-1+x^4) \sqrt [4]{-x^2+x^6}} \, dx\)
  3.3.73 \(\int \frac {1}{x^7 \sqrt [3]{x^2+x^6}} \, dx\)
  3.3.74 \(\int \frac {\sqrt [3]{-1+x^3}}{x^8} \, dx\)
  3.3.75 \(\int \frac {b+a x^2}{(-b+a x^2) \sqrt {-b x+a x^3}} \, dx\)
  3.3.76 \(\int \frac {-2 b+a x^3}{\sqrt {b+a x^3} (b-c x^2+a x^3)} \, dx\)
  3.3.77 \(\int \frac {-2 b+a x^3}{\sqrt {b+a x^3} (b+c x^2+a x^3)} \, dx\)
  3.3.78 \(\int \frac {1+x^2}{(-1+x^2) (2+x^2) \sqrt {-3+x^4}} \, dx\)
  3.3.79 \(\int \frac {(-4+x^4) (1+x^4)^{3/4}}{x^{12}} \, dx\)
  3.3.80 \(\int \frac {\sqrt {-1+x^4} (1+x^4)}{x^2 (-1+x^2+x^4)} \, dx\)
  3.3.81 \(\int \frac {(-1+x^4) (1+x^2+x^4)}{x^4 \sqrt {1+x^4}} \, dx\)
  3.3.82 \(\int \frac {(-4+x^3) (-1+x^3+x^4)}{x^6 (-1+x^3)^{3/4}} \, dx\)
  3.3.83 \(\int \frac {1+3 x^4}{(-1-a x+x^4) \sqrt {-x+x^5}} \, dx\)
  3.3.84 \(\int \frac {1+3 x^4}{(-a-x+a x^4) \sqrt {-x+x^5}} \, dx\)
  3.3.85 \(\int \frac {(4+x^5) (-1+x^4+x^5)}{x^6 (-1+x^5)^{3/4}} \, dx\)
  3.3.86 \(\int \frac {(-4+x^5) (1+x^4+x^5)}{x^6 (1+x^5)^{3/4}} \, dx\)
  3.3.87 \(\int \frac {\sqrt {-1+x^6}}{x^{16}} \, dx\)
  3.3.88 \(\int \frac {-1-2 x^2+2 x^4}{(1+2 x^4) \sqrt {1+x^6}} \, dx\)
  3.3.89 \(\int \frac {1+4 x^5}{(-1-a x+x^5) \sqrt {-x+x^6}} \, dx\)
  3.3.90 \(\int \frac {1+4 x^5}{(-a-x+a x^5) \sqrt {-x+x^6}} \, dx\)
  3.3.91 \(\int \frac {(2+x^6) (-1-x^4+x^6)}{x^6 (-1+x^6)^{3/4}} \, dx\)
  3.3.92 \(\int \frac {(-2+x^6) (1-x^4+x^6)}{x^6 (1+x^6)^{3/4}} \, dx\)
  3.3.93 \(\int \frac {\sqrt {-1+x^6} (1+2 x^6)}{x^2 (-1+x^2+x^6)} \, dx\)
  3.3.94 \(\int \frac {(-1+x^3-x^5-2 x^7)^{2/3} (1-x^3+x^5+2 x^7) (-3+2 x^5+8 x^7)}{x^9} \, dx\)
  3.3.95 \(\int \frac {x^4 (9+4 x^5)}{\sqrt {x+x^6} (-a-a x^5+x^9)} \, dx\)
  3.3.96 \(\int \frac {x^4 (9+5 x^4)}{\sqrt {x+x^5} (-1-x^4+a x^9)} \, dx\)
  3.3.97 \(\int \frac {x^4 (9+4 x^5)}{\sqrt {x+x^6} (-1-x^5+a x^9)} \, dx\)
  3.3.98 \(\int x^5 \sqrt {1-2 x^3} \, dx\)
  3.3.99 \(\int \frac {2+x}{(-1+x) \sqrt {-1+3 x+x^3}} \, dx\)
  3.3.100 \(\int \frac {-1+2 x}{(1+x) \sqrt {-x-x^2+x^3}} \, dx\)