3.5.1 \(\int \sqrt [4]{-1+3 x-3 x^2+x^3} (-1-2 x+x^2+3 x^3) \, dx\)
  3.5.2 \(\int \frac {(-2 b+a x^3) \sqrt {b+a x^3}}{x^2 (b-x^2+a x^3)} \, dx\)
  3.5.3 \(\int \frac {1}{\sqrt [4]{1+x^4}} \, dx\)
  3.5.4 \(\int \frac {-1-2 x+2 x^2}{(1+2 x+4 x^2) \sqrt {x+x^4}} \, dx\)
  3.5.5 \(\int \sqrt {x+x^4} \, dx\)
  3.5.6 \(\int \frac {1}{\sqrt [4]{-x^2+x^4}} \, dx\)
  3.5.7 \(\int \frac {2 b+a x^2}{\sqrt [4]{b+a x^2} (-b-a x^2+x^4)} \, dx\)
  3.5.8 \(\int \frac {-1+2 x}{\sqrt {-2-2 x+3 x^2-2 x^3+x^4}} \, dx\)
  3.5.9 \(\int \frac {-1+2 x}{\sqrt {-4-4 x+5 x^2-2 x^3+x^4}} \, dx\)
  3.5.10 \(\int \frac {1}{x^4 \sqrt [4]{x^3+x^4}} \, dx\)
  3.5.11 \(\int \frac {x}{\sqrt {-b+a x^4}} \, dx\)
  3.5.12 \(\int \frac {(1+x^3)^{2/3} (1-x^3+2 x^6)}{x^{12}} \, dx\)
  3.5.13 \(\int \frac {(3+x^4) \sqrt {x-x^5}}{1-2 x^4-x^6+x^8} \, dx\)
  3.5.14 \(\int \frac {-1+x^{16}}{x^8 \sqrt {-1+x^4}} \, dx\)
  3.5.15 \(\int \frac {(-1+x)^{3/2}+(1+x)^{3/2}}{(-1+x)^{3/2} (1+x)^{3/2}} \, dx\)
  3.5.16 \(\int \frac {1+x}{(-1+x) \sqrt {x+x^2+x^3}} \, dx\)
  3.5.17 \(\int \frac {-1+x^2}{(1-x+x^2) \sqrt {x+x^2+x^3}} \, dx\)
  3.5.18 \(\int \frac {-1+x}{(1+x) \sqrt {1+x^4}} \, dx\)
  3.5.19 \(\int \frac {1+x}{(-1+x) \sqrt {1+x^4}} \, dx\)
  3.5.20 \(\int \frac {1+x}{(-1+x) \sqrt {1+x^2+x^4}} \, dx\)
  3.5.21 \(\int \frac {1+x^2}{(-1+x^2) \sqrt {1-x-x^2+x^3+x^4}} \, dx\)
  3.5.22 \(\int \frac {x}{\sqrt {11-11 x-3 x^2+2 x^3+x^4}} \, dx\)
  3.5.23 \(\int \frac {1+x}{\sqrt {2-5 x-3 x^2+2 x^3+x^4}} \, dx\)
  3.5.24 \(\int \frac {x}{\sqrt {-3+3 x-3 x^2+2 x^3+x^4}} \, dx\)
  3.5.25 \(\int \frac {\sqrt {1-x^6} (2+x^6)}{x^3 (-1+x^4+x^6)} \, dx\)
  3.5.26 \(\int \frac {\sqrt {x}}{(-2+x^2)^{3/4}} \, dx\)
  3.5.27 \(\int \frac {a+x}{(-1+2 b+2 a x+x^2) \sqrt [4]{2 b+2 a x+x^2}} \, dx\)
  3.5.28 \(\int \frac {1}{\sqrt {c+b x+a x^2}} \, dx\)
  3.5.29 \(\int x^{11} \sqrt [3]{-1+x^3} \, dx\)
  3.5.30 \(\int \frac {-1-2 x+x^2}{(1+2 x+3 x^2) \sqrt {-x+x^3}} \, dx\)
  3.5.31 \(\int \frac {(-1+x^2) \sqrt {-1-4 x-5 x^2-4 x^3-x^4}}{(1+x+x^2) (1+3 x+x^2)^2} \, dx\)
  3.5.32 \(\int \frac {-1+x^4}{x^3 \sqrt {1+x^4}} \, dx\)
  3.5.33 \(\int \frac {-1+x^3}{x^6 (1+x^3) \sqrt [4]{x+x^4}} \, dx\)
  3.5.34 \(\int \frac {\sqrt {x+x^4}}{x^3} \, dx\)
  3.5.35 \(\int \frac {1}{x^8 \sqrt [4]{x^2+x^4}} \, dx\)
  3.5.36 \(\int \frac {1-2 x}{\sqrt {5+5 x-4 x^2-2 x^3+x^4}} \, dx\)
  3.5.37 \(\int \frac {1}{x^4 \sqrt [4]{-x^3+x^4}} \, dx\)
  3.5.38 \(\int \frac {1+2 x}{\sqrt {-4-3 x-2 x^2+2 x^3+x^4}} \, dx\)
  3.5.39 \(\int \frac {4 b+a x^3}{\sqrt [4]{b+a x^3} (-b-a x^3+x^4)} \, dx\)
  3.5.40 \(\int \frac {x^8}{\sqrt {-1+x^6}} \, dx\)
  3.5.41 \(\int \frac {\sqrt {-1+x^6}}{x^4} \, dx\)
  3.5.42 \(\int x^2 \sqrt {-1+x^6} \, dx\)
  3.5.43 \(\int \frac {x^8}{\sqrt {1+x^6}} \, dx\)
  3.5.44 \(\int \frac {\sqrt {1+x^6}}{x^4} \, dx\)
  3.5.45 \(\int \frac {1+x^6}{x^6 (1+x^3) \sqrt [4]{x+x^4}} \, dx\)
  3.5.46 \(\int x \sqrt {x+x^6} \, dx\)
  3.5.47 \(\int \frac {-2 b c+a c x^6}{\sqrt [4]{b+a x^6} (b-c^4 x^4+a x^6)} \, dx\)
  3.5.48 \(\int \frac {1}{\sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.5.49 \(\int \frac {\sqrt [4]{1+x^2}}{x} \, dx\)
  3.5.50 \(\int \frac {\sqrt {-1+x^3}}{x^7} \, dx\)
  3.5.51 \(\int \frac {-b+a x^2}{(b+c x+a x^2) \sqrt {b x+a x^3}} \, dx\)
  3.5.52 \(\int \frac {-1+x}{\sqrt {-2-x+6 x^2-4 x^3+x^4}} \, dx\)
  3.5.53 \(\int \frac {\sqrt {-1+x^6}}{x^{13}} \, dx\)
  3.5.54 \(\int \frac {-1-2 x^2+2 x^4}{(2-3 x^2+x^4) \sqrt {1+x^6}} \, dx\)
  3.5.55 \(\int \frac {-1+k x}{(1+k x) \sqrt {(1-x) x (1-k^2 x)}} \, dx\)
  3.5.56 \(\int \frac {1+k x}{(-1+k x) \sqrt {(1-x) x (1-k^2 x)}} \, dx\)
  3.5.57 \(\int \frac {(-1+x^2) \sqrt {1+x^4}}{x^2 (1+x^2)} \, dx\)
  3.5.58 \(\int \frac {1+x^3}{x^6 (-1+x^3) \sqrt [4]{-x+x^4}} \, dx\)
  3.5.59 \(\int \sqrt {-x+x^4} \, dx\)
  3.5.60 \(\int \frac {1}{x^8 \sqrt [4]{-x^2+x^4}} \, dx\)
  3.5.61 \(\int \frac {-1+x}{\sqrt {-1+4 x+2 x^2-4 x^3+x^4}} \, dx\)
  3.5.62 \(\int \frac {\sqrt [4]{-x^3+x^4}}{(-1+x) x} \, dx\)
  3.5.63 \(\int \frac {-2+x^3}{x \sqrt {-1+x^6}} \, dx\)
  3.5.64 \(\int \frac {1+x^3}{x \sqrt {-1+x^6}} \, dx\)
  3.5.65 \(\int \frac {-1+2 x^3}{x \sqrt {-1+x^6}} \, dx\)
  3.5.66 \(\int \frac {1+2 x^3}{x \sqrt {-1+x^6}} \, dx\)
  3.5.67 \(\int \frac {1+4 x^3}{x \sqrt {-1+x^6}} \, dx\)
  3.5.68 \(\int \frac {1+x^6}{x^6 (-1+x^3) \sqrt [4]{-x+x^4}} \, dx\)
  3.5.69 \(\int \frac {x (8 b+5 a x^3)}{\sqrt [4]{b+a x^3} (-b-a x^3+x^8)} \, dx\)
  3.5.70 \(\int \sqrt {x+\sqrt {1+x^2}} \, dx\)
  3.5.71 \(\int \frac {a b-x^2}{\sqrt {x (-a+x) (-b+x)} (a b-(a+b+d) x+x^2)} \, dx\)
  3.5.72 \(\int \frac {a b-x^2}{\sqrt {x (-a+x) (-b+x)} (a b d-(1+a d+b d) x+d x^2)} \, dx\)
  3.5.73 \(\int \frac {-1+k x^2}{(1+k x^2) \sqrt {(1-x^2) (1-k^2 x^2)}} \, dx\)
  3.5.74 \(\int \frac {1+k x^2}{(-1+k x^2) \sqrt {(1-x^2) (1-k^2 x^2)}} \, dx\)
  3.5.75 \(\int \frac {1-2 k^2 x+k^2 x^2}{x \sqrt {(1-x) x (1-k^2 x)} (-1+k^2 x)} \, dx\)
  3.5.76 \(\int \frac {1}{x^7 \sqrt {-1+x^3}} \, dx\)
  3.5.77 \(\int \frac {1}{x^7 \sqrt {1+x^3}} \, dx\)
  3.5.78 \(\int \frac {\sqrt {1+x^3}}{x^7} \, dx\)
  3.5.79 \(\int \frac {1+x^3}{x^7 \sqrt {-1+x^3}} \, dx\)
  3.5.80 \(\int \frac {\sqrt {-1+x^3} (2+x^3)}{x^2 (-2-4 x^2+2 x^3)} \, dx\)
  3.5.81 \(\int x^5 \sqrt {b+a x^3} \, dx\)
  3.5.82 \(\int \frac {(-3+x^4) \sqrt [3]{1+x^4} (1+x^3+x^4)}{x^8} \, dx\)
  3.5.83 \(\int \frac {(-3+x^4) (1+x^4)^{2/3} (1+x^3+x^4)}{x^9} \, dx\)
  3.5.84 \(\int \frac {(-1+x^4)^{2/3} (3+x^4) (-2-x^3+2 x^4)}{x^9} \, dx\)
  3.5.85 \(\int \frac {(-1+x^5)^{3/4} (4+x^5) (-1-x^4+x^5)}{x^{12}} \, dx\)
  3.5.86 \(\int \frac {(1+x^5)^{2/3} (1+x^3+x^5) (-3+2 x^5)}{x^9} \, dx\)
  3.5.87 \(\int \frac {(-1+x^5)^{2/3} (-1+x^3+x^5) (3+2 x^5)}{x^9} \, dx\)
  3.5.88 \(\int \frac {(-4+x^5) (1+x^5)^{3/4} (2-x^4+2 x^5)}{x^{12}} \, dx\)
  3.5.89 \(\int \frac {(1+x^5)^{2/3} (-3+2 x^5) (4+3 x^3+4 x^5)}{x^9} \, dx\)
  3.5.90 \(\int \frac {1}{x^{13} \sqrt {-1+x^6}} \, dx\)
  3.5.91 \(\int \frac {-1+x^6}{x^{13} \sqrt {1+x^6}} \, dx\)
  3.5.92 \(\int \frac {\sqrt {1+x^6}}{x^{13}} \, dx\)
  3.5.93 \(\int \frac {1+x^6}{x^{13} \sqrt {-1+x^6}} \, dx\)
  3.5.94 \(\int \frac {\sqrt [3]{-1+x^6} (1+x^6) (-1+x^3+x^6)}{x^8} \, dx\)
  3.5.95 \(\int \frac {(-1+x^6)^{3/4} (2+x^6) (-1-x^4+x^6)}{x^{12}} \, dx\)
  3.5.96 \(\int \frac {(-2+x^6) (1+x^6)^{3/4} (1-x^4+x^6)}{x^{12}} \, dx\)
  3.5.97 \(\int \frac {-2 x+3 x^2}{\sqrt {5-4 x^2+4 x^3+x^4-2 x^5+x^6}} \, dx\)
  3.5.98 \(\int \frac {-2+5 x^6}{x \sqrt {-1+x^6} (2+x^6)} \, dx\)
  3.5.99 \(\int \frac {-1+10 x^6}{x \sqrt {-1+x^6} (-1+4 x^6)} \, dx\)
  3.5.100 \(\int \frac {2+x+x^2}{x^2 (1+x^2)^{3/4}} \, dx\)