3.14.1 \(\int \frac {(1-x^3+x^5) (-3+2 x^5)}{x^3 (1+x^3+x^5) \sqrt [4]{x+x^6}} \, dx\)
  3.14.2 \(\int \frac {x}{\sqrt [3]{-x^2+x^6}} \, dx\)
  3.14.3 \(\int \frac {(-3+2 x) (1-x+x^3)^{2/3}}{1-2 x+x^2+2 x^3-2 x^4+2 x^6} \, dx\)
  3.14.4 \(\int \frac {(-2+x^6) (4+x^6) \sqrt [4]{-2+2 x^4+x^6}}{x^6 (-4-x^4+2 x^6)} \, dx\)
  3.14.5 \(\int \frac {(1+x^3)^{2/3} (-1+3 x^6)}{x^9 (1+2 x^3)} \, dx\)
  3.14.6 \(\int \frac {\sqrt {1-x^4} (1+x^4)}{1-x^4+x^8} \, dx\)
  3.14.7 \(\int \frac {x^2}{(b+a x^4)^{3/4} (-b^2+a^2 x^8)} \, dx\)
  3.14.8 \(\int \frac {\sqrt {1+\sqrt {1+x^2}}}{x+\sqrt {1+x^2}} \, dx\)
  3.14.9 \(\int \frac {(2+x)^2}{x (4-2 x+x^2) \sqrt [3]{1+x+x^2}} \, dx\)
  3.14.10 \(\int \frac {1}{(-2 b+a x^2) \sqrt [4]{-b+a x^2}} \, dx\)
  3.14.11 \(\int \frac {-1+x}{x^7 \sqrt [3]{1+x^3}} \, dx\)
  3.14.12 \(\int \frac {3 c+2 b x+a x^2}{\sqrt [3]{c+b x+a x^2} (c+b x+a x^2+x^3)} \, dx\)
  3.14.13 \(\int \frac {x (3+5 x^2)}{\sqrt [3]{1+x^2} (-1+x^3+x^5)} \, dx\)
  3.14.14 \(\int \frac {(-1+x^5)^{2/3} (3+2 x^5) (-2+x^3+2 x^5)}{x^6 (-1+x^3+x^5)} \, dx\)
  3.14.15 \(\int \frac {(1+x^3)^{2/3} (-2+x^3+x^6)}{x^9} \, dx\)
  3.14.16 \(\int \frac {(-1+x^6)^{2/3} (1+x^6) (-1-x^3+x^6)}{x^6 (-1+x^3+x^6)} \, dx\)
  3.14.17 \(\int \frac {(-1+x^3)^{2/3} (-2+2 x^3+x^6)}{x^9} \, dx\)
  3.14.18 \(\int \frac {-2+x^4}{\sqrt [4]{1+x^4} (-2+x^4+x^8)} \, dx\)
  3.14.19 \(\int \frac {-2 b-2 a x^4+x^8}{x^4 \sqrt [4]{b+a x^4}} \, dx\)
  3.14.20 \(\int \frac {1-2 x^4+2 x^8}{\sqrt [4]{1+x^4} (-2-x^4+x^8)} \, dx\)
  3.14.21 \(\int \frac {(1+x^3+x^8)^{2/3} (-3+5 x^8)}{x^3 (1+x^8)} \, dx\)
  3.14.22 \(\int \frac {\sqrt {-1-x^2+x^6} (1+2 x^6)}{8-x^4-16 x^6+8 x^{12}} \, dx\)
  3.14.23 \(\int \frac {1}{(1+x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.14.24 \(\int \frac {\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{x^2} \, dx\)
  3.14.25 \(\int \frac {-1+x}{(1+x) \sqrt {1+\sqrt {1+\sqrt {1+x}}}} \, dx\)
  3.14.26 \(\int \frac {1}{(-2+x) \sqrt [3]{1+2 x+x^2}} \, dx\)
  3.14.27 \(\int \frac {\sqrt [3]{-x+x^3}}{x^2} \, dx\)
  3.14.28 \(\int \frac {\sqrt [3]{-x^2+x^3}}{x} \, dx\)
  3.14.29 \(\int \frac {-3 b+a x^2}{(-b+a x^2+x^3) \sqrt [4]{-b x+a x^3}} \, dx\)
  3.14.30 \(\int \frac {1}{(-2 b+a x) \sqrt [4]{-b x^2+a x^3}} \, dx\)
  3.14.31 \(\int \frac {b^3+a^3 x^3}{(-b^3+a^3 x^3) \sqrt {b^4+a^4 x^4}} \, dx\)
  3.14.32 \(\int \frac {(1+x^6) (-1+2 x^6) (-1+x^4+2 x^6)^{5/4}}{x^{10} (-1-x^4+2 x^6)} \, dx\)
  3.14.33 \(\int \frac {((1-3 k^2) x+2 k^2 x^3) (1-2 k^2 x^2+k^4 x^4)}{((1-x^2) (1-k^2 x^2))^{3/4} (1-d+(-1+3 d k^2) x^2-3 d k^4 x^4+d k^6 x^6)} \, dx\)
  3.14.34 \(\int \frac {\sqrt [4]{-1+2 x^4} (-1+x^4+x^8)}{x^6 (-1+x^4)} \, dx\)
  3.14.35 \(\int x^6 (-1+x^3)^{2/3} \, dx\)
  3.14.36 \(\int x^6 (1+x^3)^{2/3} \, dx\)
  3.14.37 \(\int x^4 \sqrt [3]{x+x^3} \, dx\)
  3.14.38 \(\int \frac {x^2 (3 a b^2-2 b (2 a+b) x+(a+2 b) x^2)}{(x (-a+x) (-b+x)^2)^{3/4} (a b^2-b (2 a+b) x+(a+2 b) x^2+(-1+d) x^3)} \, dx\)
  3.14.39 \(\int \frac {\sqrt [3]{1+x^4} (3+x^4)}{x^{17}} \, dx\)
  3.14.40 \(\int \frac {1}{(-1+x^4)^2 \sqrt [4]{-x^2+x^4}} \, dx\)
  3.14.41 \(\int \frac {(-1+x^2) (1-x+x^2-x^3+x^4)}{(1-x+x^2)^2 (1+x+x^2) \sqrt {1+3 x^2+x^4}} \, dx\)
  3.14.42 \(\int \frac {(b+a x^3) (b+2 a x^3)}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.14.43 \(\int \frac {-b^3+a^3 x^3}{(b^3+a^3 x^3) \sqrt {b^4+a^4 x^4}} \, dx\)
  3.14.44 \(\int \frac {x^4 (-2 b+a x^2)}{(-b+a x^2)^2 \sqrt [4]{-b+a x^2+c x^4}} \, dx\)
  3.14.45 \(\int \frac {(-1-2 x+x^2) (-1+2 x+x^2)}{(1-x+2 x^2+x^3+x^4) \sqrt [3]{-x+x^5}} \, dx\)
  3.14.46 \(\int \frac {-b-a x^3+x^6}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.14.47 \(\int \frac {x^4 (-4+x^3)}{\sqrt [4]{-1+x^3} (-1+2 x^3-x^6+x^8)} \, dx\)
  3.14.48 \(\int \frac {x^6}{(b+a x^4)^{3/4} (-b^2+a^2 x^8)} \, dx\)
  3.14.49 \(\int \frac {(-b^2+a x^2) \sqrt {b+\sqrt {b^2+a x^2}}}{b^2+a x^2} \, dx\)
  3.14.50 \(\int \sqrt [3]{x^2+x^3} \, dx\)
  3.14.51 \(\int \frac {-1+k^3 x^3}{\sqrt {(1-x) x (1-k^2 x)} (1+k^3 x^3)} \, dx\)
  3.14.52 \(\int \frac {c+b x^2+c k^2 x^4}{\sqrt {(1-x^2) (1-k^2 x^2)} (-1+k^2 x^4)} \, dx\)
  3.14.53 \(\int \frac {3 b+a x^4}{(-b+x^3+a x^4) \sqrt [4]{-b x+a x^5}} \, dx\)
  3.14.54 \(\int \frac {-1+x^6}{x^6 \sqrt [3]{x+x^3}} \, dx\)
  3.14.55 \(\int \frac {(-1+x^3)^{2/3} (2+x^6)}{x^6} \, dx\)
  3.14.56 \(\int \frac {(-1+x^3)^{2/3} (-2+x^3+x^6)}{x^6} \, dx\)
  3.14.57 \(\int \frac {(1+x^3)^{2/3} (1+2 x^6)}{x^6} \, dx\)
  3.14.58 \(\int \frac {3 b+2 a x^5}{(-b+x^3+a x^5) \sqrt [4]{-b x+a x^6}} \, dx\)
  3.14.59 \(\int \frac {\sqrt {-b x+a^2 x^2}}{(a x^2+x \sqrt {-b x+a^2 x^2})^{3/2}} \, dx\)
  3.14.60 \(\int x^7 \sqrt [3]{-1+x^3} \, dx\)
  3.14.61 \(\int x^7 \sqrt [3]{1+x^3} \, dx\)
  3.14.62 \(\int \frac {\sqrt [3]{-1+x^3} (1+x^3)}{x^{13}} \, dx\)
  3.14.63 \(\int \frac {(-b+x) (a-3 b+2 x)}{(-a+x) ((-a+x) (-b+x))^{3/4} (b-a^3 d-(1-3 a^2 d) x-3 a d x^2+d x^3)} \, dx\)
  3.14.64 \(\int x^8 (-b+a x^4)^{3/4} \, dx\)
  3.14.65 \(\int \frac {1}{(b+a x^3) \sqrt [4]{-b x+a x^4}} \, dx\)
  3.14.66 \(\int \frac {\sqrt [3]{-1+x^6} (1+x^6)}{x^3} \, dx\)
  3.14.67 \(\int \frac {\sqrt [3]{-1+x^6} (-1+2 x^6)}{x^9} \, dx\)
  3.14.68 \(\int \frac {\sqrt [4]{-1+x^4} (2-x^4+2 x^8)}{x^{10} (-1+2 x^4)} \, dx\)
  3.14.69 \(\int \frac {(2+x^6) (1-2 x^6+x^8+x^{12})}{x^8 \sqrt [4]{-1+x^6} (-1+x^4+x^6)} \, dx\)
  3.14.70 \(\int \frac {\sqrt {x+x^2}}{x \sqrt {x^2+x \sqrt {x+x^2}}} \, dx\)
  3.14.71 \(\int \frac {\sqrt {x^2+x \sqrt {x+x^2}}}{\sqrt {x+x^2}} \, dx\)
  3.14.72 \(\int \frac {1}{\sqrt {b+\sqrt {b^2+a x^2}}} \, dx\)
  3.14.73 \(\int (b^2+a x^2)^2 \sqrt {b+\sqrt {b^2+a x^2}} \, dx\)
  3.14.74 \(\int \frac {1}{(1-3 x) \sqrt [3]{-x+x^3}} \, dx\)
  3.14.75 \(\int \frac {1}{(1+3 x) \sqrt [3]{-x+x^3}} \, dx\)
  3.14.76 \(\int \frac {x}{\sqrt [3]{-x^2+x^3}} \, dx\)
  3.14.77 \(\int \frac {(1-x^3)^{2/3} (-1+x^3)}{x^6 (-1+2 x^3)} \, dx\)
  3.14.78 \(\int \frac {2 b+a x}{(b+a x+x^2) \sqrt [4]{b x^2+a x^3}} \, dx\)
  3.14.79 \(\int \frac {x^3 \sqrt {x+x^4}}{-b+a x^3} \, dx\)
  3.14.80 \(\int x^9 \sqrt [3]{1+x^6} \, dx\)
  3.14.81 \(\int \frac {b-a x^3+x^6}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.14.82 \(\int \frac {-b+a x^6}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.14.83 \(\int \frac {b+a x^6}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.14.84 \(\int \frac {-3 b+2 a x^5}{(2 b+x^3+2 a x^5) \sqrt [4]{b x+a x^6}} \, dx\)
  3.14.85 \(\int \frac {(-1+x^4) (1+x^2+3 x^4+x^6+x^8)}{(1+x^2+x^4)^{3/2} (1+3 x^2+5 x^4+3 x^6+x^8)} \, dx\)
  3.14.86 \(\int \frac {(-3+2 x+2 x^5) \sqrt {x-x^2+x^6}}{1-2 x+x^2-x^3+x^4+2 x^5-3 x^6-x^8+x^{10}} \, dx\)
  3.14.87 \(\int \frac {\sqrt {x+\sqrt {1+x}}}{x^2 \sqrt {1+x}} \, dx\)
  3.14.88 \(\int \frac {\sqrt {x+\sqrt {1+x}}}{x \sqrt {1+x}} \, dx\)
  3.14.89 \(\int \frac {\sqrt {a x+\sqrt {-b+a x}}}{\sqrt {-b+a x}} \, dx\)
  3.14.90 \(\int \frac {1-a x+b \sqrt {a+b x}}{\sqrt {a+b x} (x+a b \sqrt {a+b x})} \, dx\)
  3.14.91 \(\int \frac {\sqrt {b+\sqrt {b^2+a x^2}}}{x^2} \, dx\)
  3.14.92 \(\int \frac {1}{\sqrt {-b x+a^2 x^2} (a x^2+x \sqrt {-b x+a^2 x^2})^{3/2}} \, dx\)
  3.14.93 \(\int \frac {1}{1+\sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.14.94 \(\int \frac {-2+x}{(2+x^2) \sqrt [3]{-1+x+2 x^2}} \, dx\)
  3.14.95 \(\int \frac {(-a+x) (-b+x) (-2 a b+(a+b) x)}{(x^2 (-a+x) (-b+x))^{3/4} (-a b+(a+b) x+(-1+d) x^2)} \, dx\)
  3.14.96 \(\int \frac {1-x+x^2}{(-2+2 x+x^2) \sqrt {1+x^3}} \, dx\)
  3.14.97 \(\int \frac {-1+x}{x \sqrt [3]{-x^2+x^3}} \, dx\)
  3.14.98 \(\int \frac {1+x}{x \sqrt [3]{-x^2+x^3}} \, dx\)
  3.14.99 \(\int \frac {x^2}{\sqrt [3]{x^2+x^3}} \, dx\)
  3.14.100 \(\int \frac {(a-3 b+2 x) (-a^3+3 a^2 x-3 a x^2+x^3)}{(-b+x) \sqrt [4]{(-a+x) (-b+x)} (-a^3+b d-(-3 a^2+d) x-3 a x^2+x^3)} \, dx\)