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