3.10.1 \(\int \frac {\sqrt [4]{-1+2 x^4} (-2+x^8)}{x^6 (-1+x^4)^2} \, dx\)
  3.10.2 \(\int \frac {(b+a x^2)^{3/4}}{x^3} \, dx\)
  3.10.3 \(\int \frac {3-2 (1+k) x+k x^2}{\sqrt [4]{(1-x) x (1-k x)} (-d+d (1+k) x-d k x^2+x^3)} \, dx\)
  3.10.4 \(\int \frac {(b+a x^3)^{3/4}}{x^4} \, dx\)
  3.10.5 \(\int \frac {\sqrt [4]{x^2+x^4}}{x^4 (-1+x^4)} \, dx\)
  3.10.6 \(\int \frac {x (-3+x^4)}{(1+x^4)^{2/3} (1+x^3+x^4)} \, dx\)
  3.10.7 \(\int \frac {\sqrt {2-x^2-4 x^4} (1+2 x^4)}{(-1+2 x^4) (-1-x^2+2 x^4)} \, dx\)
  3.10.8 \(\int (b+a x^4)^{3/4} \, dx\)
  3.10.9 \(\int \frac {(b+a x^4)^{3/4}}{x^4} \, dx\)
  3.10.10 \(\int \frac {(b+a x^5)^{3/4}}{x^6} \, dx\)
  3.10.11 \(\int \frac {2-3 x^5}{(1-x^2+x^5) \sqrt [3]{x+x^6}} \, dx\)
  3.10.12 \(\int \frac {(b+a x^6)^{3/4}}{x^7} \, dx\)
  3.10.13 \(\int \frac {2 b+a x^6}{\sqrt [4]{-b+a x^6} (-b-2 x^4+a x^6)} \, dx\)
  3.10.14 \(\int \frac {(-1+x^4) \sqrt {1+x^4}}{1+3 x^4+x^8} \, dx\)
  3.10.15 \(\int \frac {-1+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (a+b x+a k^2 x^2)} \, dx\)
  3.10.16 \(\int \frac {1}{x \sqrt [3]{-1+x^4}} \, dx\)
  3.10.17 \(\int \frac {x^2 (-2 b+a x^2)}{(-b+a x^2)^{3/4} (4 b-4 a x^2+x^4)} \, dx\)
  3.10.18 \(\int \frac {-a b x+x^3}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2-2 a b (a+b) x+(a^2+4 a b+b^2-d) x^2-2 (a+b) x^3+x^4)} \, dx\)
  3.10.19 \(\int \frac {\sqrt [4]{-1-x^4} (-1+x^4)}{x^6 (1+2 x^4)} \, dx\)
  3.10.20 \(\int \frac {a b x-x^3}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2 d-2 a b (a+b) d x+(-1+a^2 d+4 a b d+b^2 d) x^2-2 (a+b) d x^3+d x^4)} \, dx\)
  3.10.21 \(\int \frac {-a b x+x^3}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2 d-2 a b (a+b) d x+(-1+a^2 d+4 a b d+b^2 d) x^2-2 (a+b) d x^3+d x^4)} \, dx\)
  3.10.22 \(\int \frac {1}{x \sqrt [3]{-1+x^6}} \, dx\)
  3.10.23 \(\int \frac {(-1+x^4) (1-x^2+x^4) \sqrt {4-x^2+4 x^4}}{(1+x^4) (4+7 x^4+4 x^8)} \, dx\)
  3.10.24 \(\int \sqrt [3]{1-3 x+3 x^3-9 x^4+3 x^6-9 x^7+x^9-3 x^{10}} \, dx\)
  3.10.25 \(\int \frac {x (-b+x) (a b-2 a x+x^2)}{(-a+x) \sqrt {x (-a+x) (-b+x)} (a d+(-b-d) x+x^2)} \, dx\)
  3.10.26 \(\int \frac {1+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (-1+k^2 x^2)} \, dx\)
  3.10.27 \(\int \frac {1}{\sqrt [3]{1+x^3}} \, dx\)
  3.10.28 \(\int \frac {x+x^2}{(-1-2 x+x^2) \sqrt {-x+x^3}} \, dx\)
  3.10.29 \(\int \frac {x^2 (3 a b-2 (a+b) x+x^2)}{(x (-a+x) (-b+x))^{3/4} (-a b+(a+b) x-x^2+d x^3)} \, dx\)
  3.10.30 \(\int \frac {1}{x \sqrt [4]{-1+x^4}} \, dx\)
  3.10.31 \(\int \frac {(-a+x) (-b+x) (-a b+x^2)}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2-2 a b (a+b) x+(a^2+4 a b+b^2-d) x^2-2 (a+b) x^3+x^4)} \, dx\)
  3.10.32 \(\int \frac {x^2 (-b+a x^4)}{(b+a x^4)^{3/4}} \, dx\)
  3.10.33 \(\int \frac {1}{\sqrt [4]{b x+a x^4}} \, dx\)
  3.10.34 \(\int \frac {(-a+x) (-b+x) (-a b+x^2)}{\sqrt {x (-a+x) (-b+x)} (a^2 b^2 d-2 a b (a+b) d x+(-1+a^2 d+4 a b d+b^2 d) x^2-2 (a+b) d x^3+d x^4)} \, dx\)
  3.10.35 \(\int \frac {1}{x \sqrt [4]{-1+x^6}} \, dx\)
  3.10.36 \(\int (-1+x^2) (-1+x \sqrt {-1+3 x^2-x^4}) \, dx\)
  3.10.37 \(\int \frac {\sqrt {c+\sqrt {a x+\sqrt {b+a^2 x^2}}}}{\sqrt {b+a^2 x^2}} \, dx\)
  3.10.38 \(\int \frac {\sqrt {-1+x^2}}{(-i+x)^2} \, dx\)
  3.10.39 \(\int \frac {1}{x^3 (b+a x^2)^{3/4}} \, dx\)
  3.10.40 \(\int \frac {(-1-2 x+x^2+3 x^3)^4}{\sqrt [4]{-1+3 x-3 x^2+x^3}} \, dx\)
  3.10.41 \(\int \frac {1}{x^4 (b+a x^3)^{3/4}} \, dx\)
  3.10.42 \(\int \frac {x}{\sqrt {-71-96 x+10 x^2+x^4}} \, dx\)
  3.10.43 \(\int \frac {(8+3 x) \sqrt [4]{-2-x+2 x^4}}{x^2 (2+x+x^4)} \, dx\)
  3.10.44 \(\int \frac {1}{x^5 (b+a x^4)^{3/4}} \, dx\)
  3.10.45 \(\int \frac {1}{x^6 (b+a x^5)^{3/4}} \, dx\)
  3.10.46 \(\int \frac {1}{x^7 (b+a x^6)^{3/4}} \, dx\)
  3.10.47 \(\int \frac {(1+2 x^4) \sqrt {1+2 x^8}}{x} \, dx\)
  3.10.48 \(\int \sqrt {x+\sqrt {1+x}} \, dx\)
  3.10.49 \(\int \frac {2 b+a x^2}{x (b^2+a^2 x^2)^{3/4}} \, dx\)
  3.10.50 \(\int \frac {-a b x+x^3}{(-a+x) (-b+x) \sqrt {x (-a+x) (-b+x)} (a b d-(1+a d+b d) x+d x^2)} \, dx\)
  3.10.51 \(\int \frac {-1+2 (-1+k) x+k x^2}{\sqrt [4]{(1-x) x (1-k x)} (-1+(3+d) x-(3+d k) x^2+x^3)} \, dx\)
  3.10.52 \(\int \frac {1+x^4}{\sqrt {-x+x^3} (-1+x^4)} \, dx\)
  3.10.53 \(\int \frac {(2+x^2) \sqrt {4-5 x^2+x^4}}{x^2 (-2+2 x+x^2)} \, dx\)
  3.10.54 \(\int \frac {x^2}{(-1+x^4) \sqrt [4]{x^2+x^4}} \, dx\)
  3.10.55 \(\int \frac {(-2+x^6) \sqrt {-1+x^6}}{x^4 (2+x^6)} \, dx\)
  3.10.56 \(\int \frac {(-4+x^6) (2-x^4+x^6)^{5/2}}{x^7 (2+x^6)^2} \, dx\)
  3.10.57 \(\int \frac {x+x^7}{(-1+x^6)^{2/3} (-1+x^3+x^6)} \, dx\)
  3.10.58 \(\int \frac {\sqrt {1-x^6} (1+2 x^6)}{1+x^4-2 x^6+x^{12}} \, dx\)
  3.10.59 \(\int \frac {\sqrt {1+x^2}}{\sqrt {1+\sqrt {1+x^2}}} \, dx\)
  3.10.60 \(\int \frac {1+x^2}{\sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.10.61 \(\int \frac {x^2}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\)
  3.10.62 \(\int \frac {\sqrt {1+x^4}}{\sqrt {x^2+\sqrt {1+x^4}}} \, dx\)
  3.10.63 \(\int \frac {-3+x^2}{\sqrt [3]{-1+x^2} (-1+x^2+x^3)} \, dx\)
  3.10.64 \(\int \frac {-a^2 b+a (2 a+b) x-3 a x^2+x^3}{x (-b+x) \sqrt {x (-a+x) (-b+x)} (a-(1+b d) x+d x^2)} \, dx\)
  3.10.65 \(\int \frac {x^2 (-4+x^3)}{(-1+x^3)^{3/4} (-1+x^3+x^4)} \, dx\)
  3.10.66 \(\int \frac {x^6}{(b+a x^4)^{3/4}} \, dx\)
  3.10.67 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^2} \, dx\)
  3.10.68 \(\int \frac {-2 a b+(a+b) x}{\sqrt [4]{x^2 (-a+x) (-b+x)} (a b d-(a+b) d x+(-1+d) x^2)} \, dx\)
  3.10.69 \(\int \frac {\sqrt [3]{1+x^3}}{x} \, dx\)
  3.10.70 \(\int \frac {3 a b-2 (a+b) x+x^2}{\sqrt [4]{x (-a+x) (-b+x)} (-a b d+(a+b) d x-d x^2+x^3)} \, dx\)
  3.10.71 \(\int \frac {-2 a b x^2+(a+b) x^3}{(x^2 (-a+x) (-b+x))^{3/4} (-a b+(a+b) x+(-1+d) x^2)} \, dx\)
  3.10.72 \(\int \frac {(-1+x^4)^{3/4}}{1+x^4} \, dx\)
  3.10.73 \(\int \frac {\sqrt [4]{-x^2+x^4}}{x^4 (-1+x^4)} \, dx\)
  3.10.74 \(\int \frac {(1-x^2)^2}{(1+x^2) (1+6 x^2+x^4)^{3/4}} \, dx\)
  3.10.75 \(\int \frac {1}{(1+x) \sqrt [4]{1+6 x^2+x^4}} \, dx\)
  3.10.76 \(\int \frac {1+x}{\sqrt {-7+4 x+14 x^2-12 x^3+x^4}} \, dx\)
  3.10.77 \(\int \frac {3+x^4}{\sqrt [3]{-1+x^4} (-1-8 x^3+x^4)} \, dx\)
  3.10.78 \(\int \frac {(-3+2 x) \sqrt {-2 x+2 x^2+3 x^4}}{(-2+2 x+x^3)^2} \, dx\)
  3.10.79 \(\int \frac {-2 b+a x^4}{x^4 \sqrt [4]{-b+a x^4}} \, dx\)
  3.10.80 \(\int (-b+a x^4)^{3/4} \, dx\)
  3.10.81 \(\int \frac {(-b+a x^4)^{3/4}}{x^4} \, dx\)
  3.10.82 \(\int \frac {\sqrt [4]{b x^3+a x^4}}{x^2} \, dx\)
  3.10.83 \(\int \frac {(1-x^3+x^4+x^6)^{3/4} (-4+x^3+2 x^6)}{(1-x^3+x^6)^2} \, dx\)
  3.10.84 \(\int \frac {1+2 x^4}{\sqrt [4]{1+x^4} (-2-x^4+x^8)} \, dx\)
  3.10.85 \(\int \frac {(-b^4+a^4 x^4) \sqrt {b^4+a^4 x^4}}{b^8+a^8 x^8} \, dx\)
  3.10.86 \(\int \frac {-b^8+a^8 x^8}{\sqrt {b^4+a^4 x^4} (b^8+a^8 x^8)} \, dx\)
  3.10.87 \(\int \frac {\sqrt {b+\sqrt {b^2+a x^2}}}{(b^2+a x^2)^{3/2}} \, dx\)
  3.10.88 \(\int \frac {\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{\sqrt {b+a^2 x^4}} \, dx\)
  3.10.89 \(\int \frac {\sqrt [4]{b x^3+a x^4}}{x} \, dx\)
  3.10.90 \(\int \frac {(-b+a x) \sqrt [4]{b x^3+a x^4}}{x (b+a x)} \, dx\)
  3.10.91 \(\int \frac {-1+3 x^4}{(1-x+x^4) \sqrt [3]{x^2+x^6}} \, dx\)
  3.10.92 \(\int \frac {-b+a x^8}{x^2 (b+a x^4)^{3/4}} \, dx\)
  3.10.93 \(\int \frac {1}{\sqrt [3]{x^2+x^3}} \, dx\)
  3.10.94 \(\int \frac {a-3 b+2 x}{\sqrt [4]{(-a+x) (-b+x)} (-a^3+b d-(-3 a^2+d) x-3 a x^2+x^3)} \, dx\)
  3.10.95 \(\int \frac {(a-3 b+2 x) (a^2-2 a x+x^2)}{((-a+x) (-b+x))^{3/4} (-b+a^3 d+(1-3 a^2 d) x+3 a d x^2-d x^3)} \, dx\)
  3.10.96 \(\int \frac {-1-2 (-1+k) x+k x^2}{\sqrt [4]{(1-x) x (1-k x)} (-1+(d+3 k) x-(d+3 k^2) x^2+k^3 x^3)} \, dx\)
  3.10.97 \(\int \frac {\sqrt {1+6 x^2+x^4}}{x (1+x^2)} \, dx\)
  3.10.98 \(\int \frac {(-1+x^2) \sqrt [4]{-1+2 x^2+2 x^4}}{x^2 (-1+2 x^2)} \, dx\)
  3.10.99 \(\int \frac {1}{\sqrt [4]{b+a x^4} (2 b+a x^4)} \, dx\)
  3.10.100 \(\int \frac {\sqrt [4]{-b x^2+a x^4}}{x^2} \, dx\)