3.11.1 \(\int \frac {\sqrt [4]{-1-x^4} (-1+x^4)}{x^6 (1+2 x^4)} \, dx\)
  3.11.2 \(\int \frac {a b x-x^3}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2 d-2 a b (a+b) d x+(-1+a^2 d+4 a b d+b^2 d) x^2-2 (a+b) d x^3+d x^4)} \, dx\)
  3.11.3 \(\int \frac {-a b x+x^3}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2 d-2 a b (a+b) d x+(-1+a^2 d+4 a b d+b^2 d) x^2-2 (a+b) d x^3+d x^4)} \, dx\)
  3.11.4 \(\int \frac {1}{x \sqrt [3]{-1+x^6}} \, dx\)
  3.11.5 \(\int \frac {(1+x^3)^{2/3} (2+x^3+2 x^6)}{x^6 (1+x^3+x^6)} \, dx\)
  3.11.6 \(\int \frac {(1+x^3)^{2/3} (2+x^3+2 x^6)}{x^6 (1+x^3+x^6)} \, dx\)
  3.11.7 \(\int \frac {(-1+x^4) (1-x^2+x^4) \sqrt {4-x^2+4 x^4}}{(1+x^4) (4+7 x^4+4 x^8)} \, dx\)
  3.11.8 \(\int \sqrt [3]{1-3 x+3 x^3-9 x^4+3 x^6-9 x^7+x^9-3 x^{10}} \, dx\)
  3.11.9 \(\int \frac {x (-b+x) (a b-2 a x+x^2)}{(-a+x) \sqrt {x (-a+x) (-b+x)} (a d+(-b-d) x+x^2)} \, dx\)
  3.11.10 \(\int \frac {1+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (-1+k^2 x^2)} \, dx\)
  3.11.11 \(\int \frac {1}{\sqrt [3]{1+x^3}} \, dx\)
  3.11.12 \(\int \frac {x+x^2}{(-1-2 x+x^2) \sqrt {-x+x^3}} \, dx\)
  3.11.13 \(\int \frac {x^2 (3 a b-2 (a+b) x+x^2)}{(x (-a+x) (-b+x))^{3/4} (-a b+(a+b) x-x^2+d x^3)} \, dx\)
  3.11.14 \(\int \frac {1}{x \sqrt [4]{-1+x^4}} \, dx\)
  3.11.15 \(\int \frac {(-a+x) (-b+x) (-a b+x^2)}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2-2 a b (a+b) x+(a^2+4 a b+b^2-d) x^2-2 (a+b) x^3+x^4)} \, dx\)
  3.11.16 \(\int \frac {x^2 (-b+a x^4)}{(b+a x^4)^{3/4}} \, dx\)
  3.11.17 \(\int \frac {1}{\sqrt [4]{b x+a x^4}} \, dx\)
  3.11.18 \(\int \frac {(-a+x) (-b+x) (-a b+x^2)}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2 d-2 a b (a+b) d x+(-1+a^2 d+4 a b d+b^2 d) x^2-2 (a+b) d x^3+d x^4)} \, dx\)
  3.11.19 \(\int \frac {1}{x \sqrt [4]{-1+x^6}} \, dx\)
  3.11.20 \(\int \frac {1}{\sqrt [3]{-b x+a x^3} (d+c x^6)} \, dx\)
  3.11.21 \(\int \frac {1}{\sqrt [3]{-b x+a x^3} (d+c x^6)} \, dx\)
  3.11.22 \(\int (-1+x^2) (-1+x \sqrt {-1+3 x^2-x^4}) \, dx\)
  3.11.23 \(\int \frac {\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1+x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.11.24 \(\int \frac {\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{(1+x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.11.25 \(\int \frac {\sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}}}{\sqrt {b+a^2 x^2}} \, dx\)
  3.11.26 \(\int \frac {\sqrt {-1+x^2}}{(-i+x)^2} \, dx\)
  3.11.27 \(\int \frac {1}{x^3 (b+a x^2)^{3/4}} \, dx\)
  3.11.28 \(\int \frac {(-1-2 x+x^2+3 x^3)^4}{\sqrt [4]{-1+3 x-3 x^2+x^3}} \, dx\)
  3.11.29 \(\int \frac {1}{x^4 (b+a x^3)^{3/4}} \, dx\)
  3.11.30 \(\int \frac {x}{\sqrt {-71-96 x+10 x^2+x^4}} \, dx\)
  3.11.31 \(\int \frac {(8+3 x) \sqrt [4]{-2-x+2 x^4}}{x^2 (2+x+x^4)} \, dx\)
  3.11.32 \(\int \frac {1}{x^5 (b+a x^4)^{3/4}} \, dx\)
  3.11.33 \(\int \frac {1}{x^6 (b+a x^5)^{3/4}} \, dx\)
  3.11.34 \(\int \frac {(-1+x^3)^{2/3} (1-2 x^3+x^6)}{x^6 (1-x^3+x^6)} \, dx\)
  3.11.35 \(\int \frac {(-1+x^3)^{2/3} (1-2 x^3+x^6)}{x^6 (1-x^3+x^6)} \, dx\)
  3.11.36 \(\int \frac {1}{x^7 (b+a x^6)^{3/4}} \, dx\)
  3.11.37 \(\int \frac {\sqrt [4]{-1+x^4} (-1+x^8)}{x^6 (1+x^8)} \, dx\)
  3.11.38 \(\int \frac {-1+x^8}{\sqrt [4]{1+x^4} (1+x^8)} \, dx\)
  3.11.39 \(\int \frac {-1+x^8}{\sqrt [4]{1+x^4} (1+x^8)} \, dx\)
  3.11.40 \(\int \frac {\sqrt [4]{-1+x^4} (1-x^4+x^8)}{x^6 (1+2 x^8)} \, dx\)
  3.11.41 \(\int \frac {\sqrt [4]{-1+x^4} (1-x^4+x^8)}{x^6 (1+2 x^8)} \, dx\)
  3.11.42 \(\int \frac {(1+2 x^4) \sqrt {1+2 x^8}}{x} \, dx\)
  3.11.43 \(\int \sqrt {x+\sqrt {1+x}} \, dx\)
  3.11.44 \(\int \frac {2 b+a x^2}{x (b^2+a^2 x^2)^{3/4}} \, dx\)
  3.11.45 \(\int \frac {-a b x+x^3}{(-a+x) (-b+x) \sqrt {x (-a+x) (-b+x)} (a b d-(1+a d+b d) x+d x^2)} \, dx\)
  3.11.46 \(\int \frac {-1+2 (-1+k) x+k x^2}{\sqrt [4]{(1-x) x (1-k x)} (-1+(3+d) x-(3+d k) x^2+x^3)} \, dx\)
  3.11.47 \(\int \frac {1+x^4}{\sqrt {-x+x^3} (-1+x^4)} \, dx\)
  3.11.48 \(\int \frac {(2+x^2) \sqrt {4-5 x^2+x^4}}{x^2 (-2+2 x+x^2)} \, dx\)
  3.11.49 \(\int \frac {x^2}{(-1+x^4) \sqrt [4]{x^2+x^4}} \, dx\)
  3.11.50 \(\int \frac {(-2+x^6) \sqrt {-1+x^6}}{x^4 (2+x^6)} \, dx\)
  3.11.51 \(\int \frac {(-4+x^6) (2-x^4+x^6)^{5/2}}{x^7 (2+x^6)^2} \, dx\)
  3.11.52 \(\int \frac {(-1+x^3)^{2/3} (2+x^3)}{x^6 (2+x^3+2 x^6)} \, dx\)
  3.11.53 \(\int \frac {(-1+x^3)^{2/3} (2+x^3)}{x^6 (2+x^3+2 x^6)} \, dx\)
  3.11.54 \(\int \frac {x+x^7}{(-1+x^6)^{2/3} (-1+x^3+x^6)} \, dx\)
  3.11.55 \(\int \frac {\sqrt {1-x^6} (1+2 x^6)}{1+x^4-2 x^6+x^{12}} \, dx\)
  3.11.56 \(\int \frac {\sqrt {1+x^2}}{\sqrt {1+\sqrt {1+x^2}}} \, dx\)
  3.11.57 \(\int \frac {1+x^2}{\sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.11.58 \(\int \frac {x^2}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\)
  3.11.59 \(\int \frac {\sqrt {1+x^4}}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\)
  3.11.60 \(\int \frac {-3+x^2}{\sqrt [3]{-1+x^2} (-1+x^2+x^3)} \, dx\)
  3.11.61 \(\int \frac {-a^2 b+a (2 a+b) x-3 a x^2+x^3}{x (-b+x) \sqrt {x (-a+x) (-b+x)} (a-(1+b d) x+d x^2)} \, dx\)
  3.11.62 \(\int \frac {1}{(b+a^3 x^3) \sqrt [3]{-b x^2+a^3 x^3}} \, dx\)
  3.11.63 \(\int \frac {1}{(b+a^3 x^3) \sqrt [3]{-b x^2+a^3 x^3}} \, dx\)
  3.11.64 \(\int \frac {x^2 (-4+x^3)}{(-1+x^3)^{3/4} (-1+x^3+x^4)} \, dx\)
  3.11.65 \(\int \frac {x^6}{(b+a x^4)^{3/4}} \, dx\)
  3.11.66 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^2} \, dx\)
  3.11.67 \(\int \frac {\sqrt [4]{2+x^4} (-4+x^8)}{x^6 (-4-2 x^4+x^8)} \, dx\)
  3.11.68 \(\int \frac {\sqrt [4]{2+x^4} (-4+x^8)}{x^6 (-4-2 x^4+x^8)} \, dx\)
  3.11.69 \(\int \frac {\sqrt [4]{-1+x^4} (-1+x^4+2 x^8)}{x^6 (1-x^4+x^8)} \, dx\)
  3.11.70 \(\int \frac {\sqrt [4]{-1+x^4} (-1+x^4+2 x^8)}{x^6 (1-x^4+x^8)} \, dx\)
  3.11.71 \(\int \frac {-2 a b+(a+b) x}{\sqrt [4]{x^2 (-a+x) (-b+x)} (a b d-(a+b) d x+(-1+d) x^2)} \, dx\)
  3.11.72 \(\int \frac {\sqrt [3]{1+x^3}}{x} \, dx\)
  3.11.73 \(\int \frac {3 a b-2 (a+b) x+x^2}{\sqrt [4]{x (-a+x) (-b+x)} (-a b d+(a+b) d x-d x^2+x^3)} \, dx\)
  3.11.74 \(\int \frac {1}{(-b+a^3 x^3) \sqrt [3]{-b x^2+a^3 x^3}} \, dx\)
  3.11.75 \(\int \frac {1}{(-b+a^3 x^3) \sqrt [3]{-b x^2+a^3 x^3}} \, dx\)
  3.11.76 \(\int \frac {-2 a b x^2+(a+b) x^3}{(x^2 (-a+x) (-b+x))^{3/4} (-a b+(a+b) x+(-1+d) x^2)} \, dx\)
  3.11.77 \(\int \frac {(-1+x^4)^{3/4}}{1+x^4} \, dx\)
  3.11.78 \(\int \frac {\sqrt [4]{-x^2+x^4}}{x^4 (-1+x^4)} \, dx\)
  3.11.79 \(\int \frac {(1-x^2)^2}{(1+x^2) (1+6 x^2+x^4)^{3/4}} \, dx\)
  3.11.80 \(\int \frac {1}{(1+x) \sqrt [4]{1+6 x^2+x^4}} \, dx\)
  3.11.81 \(\int \frac {1+x}{\sqrt {-7+4 x+14 x^2-12 x^3+x^4}} \, dx\)
  3.11.82 \(\int \frac {3+x^4}{\sqrt [3]{-1+x^4} (-1-8 x^3+x^4)} \, dx\)
  3.11.83 \(\int \frac {(-3+2 x) \sqrt {-2 x+2 x^2+3 x^4}}{(-2+2 x+x^3)^2} \, dx\)
  3.11.84 \(\int \frac {-2 b+a x^4}{x^4 \sqrt [4]{-b+a x^4}} \, dx\)
  3.11.85 \(\int (-b+a x^4)^{3/4} \, dx\)
  3.11.86 \(\int \frac {(-b+a x^4)^{3/4}}{x^4} \, dx\)
  3.11.87 \(\int \frac {1}{\sqrt [3]{-b x^2+a x^3} (b+a x^4)} \, dx\)
  3.11.88 \(\int \frac {1}{\sqrt [3]{-b x^2+a x^3} (b+a x^4)} \, dx\)
  3.11.89 \(\int \frac {\sqrt [4]{b x^3+a x^4}}{x^2} \, dx\)
  3.11.90 \(\int \frac {(1-x^3+x^4+x^6)^{3/4} (-4+x^3+2 x^6)}{(1-x^3+x^6)^2} \, dx\)
  3.11.91 \(\int \frac {1+2 x^4}{\sqrt [4]{1+x^4} (-2-x^4+x^8)} \, dx\)
  3.11.92 \(\int \frac {1}{\sqrt [4]{-b x^2+a x^4} (b+a x^8)} \, dx\)
  3.11.93 \(\int \frac {1}{\sqrt [4]{-b x^2+a x^4} (b+a x^8)} \, dx\)
  3.11.94 \(\int \frac {(-b^4+a^4 x^4) \sqrt {b^4+a^4 x^4}}{b^8+a^8 x^8} \, dx\)
  3.11.95 \(\int \frac {-b^8+a^8 x^8}{\sqrt {b^4+a^4 x^4} (b^8+a^8 x^8)} \, dx\)
  3.11.96 \(\int \frac {\sqrt {b+\sqrt {b^2+a x^2}}}{(b^2+a x^2)^{3/2}} \, dx\)
  3.11.97 \(\int \frac {\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{\sqrt {b+a^2 x^4}} \, dx\)
  3.11.98 \(\int \frac {1}{\sqrt [3]{-b x^2+a x^3} (-b+a x^4)} \, dx\)
  3.11.99 \(\int \frac {1}{\sqrt [3]{-b x^2+a x^3} (-b+a x^4)} \, dx\)
  3.11.100 \(\int \frac {\sqrt [4]{-b x^3+a x^4}}{x (b+a x^3)} \, dx\)