3.16.1 \(\int \frac {(2+x)^2}{x (4-2 x+x^2) \sqrt [3]{1+x+x^2}} \, dx\)
  3.16.2 \(\int \frac {1}{(-2 b+a x^2) \sqrt [4]{-b+a x^2}} \, dx\)
  3.16.3 \(\int \frac {-1+x}{x^7 \sqrt [3]{1+x^3}} \, dx\)
  3.16.4 \(\int \frac {3 c+2 b x+a x^2}{\sqrt [3]{c+b x+a x^2} (c+b x+a x^2+x^3)} \, dx\)
  3.16.5 \(\int \frac {-b+a x^2}{(b+a x^4) \sqrt [4]{b x^2+a x^4}} \, dx\)
  3.16.6 \(\int \frac {-b+a x^2}{(b+a x^4) \sqrt [4]{b x^2+a x^4}} \, dx\)
  3.16.7 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\)
  3.16.8 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\)
  3.16.9 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\)
  3.16.10 \(\int \frac {x (3+5 x^2)}{\sqrt [3]{1+x^2} (-1+x^3+x^5)} \, dx\)
  3.16.11 \(\int \frac {(-1+x^5)^{2/3} (3+2 x^5) (-2+x^3+2 x^5)}{x^6 (-1+x^3+x^5)} \, dx\)
  3.16.12 \(\int \frac {(1+x^3)^{2/3} (-2+x^3+x^6)}{x^9} \, dx\)
  3.16.13 \(\int \frac {(-1+x^6)^{2/3} (1+x^6) (-1-x^3+x^6)}{x^6 (-1+x^3+x^6)} \, dx\)
  3.16.14 \(\int \frac {(-1+x^3)^{2/3} (-2+2 x^3+x^6)}{x^9} \, dx\)
  3.16.15 \(\int \frac {-2+x^4}{\sqrt [4]{1+x^4} (-2+x^4+x^8)} \, dx\)
  3.16.16 \(\int \frac {\sqrt [4]{-1+x^4} (2+x^4)}{x^2 (2+2 x^4+x^8)} \, dx\)
  3.16.17 \(\int \frac {\sqrt [4]{-1+x^4} (2+x^4)}{x^2 (2+2 x^4+x^8)} \, dx\)
  3.16.18 \(\int \frac {-2 b-2 a x^4+x^8}{x^4 \sqrt [4]{b+a x^4}} \, dx\)
  3.16.19 \(\int \frac {1-2 x^4+2 x^8}{\sqrt [4]{1+x^4} (-2-x^4+x^8)} \, dx\)
  3.16.20 \(\int \frac {(1+x^3+x^8)^{2/3} (-3+5 x^8)}{x^3 (1+x^8)} \, dx\)
  3.16.21 \(\int \frac {-b+2 a x^8}{\sqrt [4]{b+a x^4} (-b+a x^8)} \, dx\)
  3.16.22 \(\int \frac {\sqrt {-1-x^2+x^6} (1+2 x^6)}{8-x^4-16 x^6+8 x^{12}} \, dx\)
  3.16.23 \(\int \frac {1}{(1+x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.16.24 \(\int \frac {\sqrt {x-\sqrt {1+x^2}}}{x^2+\sqrt {1+x^2}} \, dx\)
  3.16.25 \(\int \frac {\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{x^2} \, dx\)
  3.16.26 \(\int \frac {-1+x}{(1+x) \sqrt {1+\sqrt {1+\sqrt {1+x}}}} \, dx\)
  3.16.27 \(\int \frac {1}{(-2+x) \sqrt [3]{1+2 x+x^2}} \, dx\)
  3.16.28 \(\int \frac {\sqrt [3]{-x+x^3}}{x^2} \, dx\)
  3.16.29 \(\int \frac {\sqrt [3]{-x^2+x^3}}{x} \, dx\)
  3.16.30 \(\int \frac {-3 b+a x^2}{(-b+a x^2+x^3) \sqrt [4]{-b x+a x^3}} \, dx\)
  3.16.31 \(\int \frac {1}{(-2 b+a x) \sqrt [4]{-b x^2+a x^3}} \, dx\)
  3.16.32 \(\int \frac {(-b+a x^4) \sqrt [4]{-b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\)
  3.16.33 \(\int \frac {(-b+a x^4) \sqrt [4]{-b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\)
  3.16.34 \(\int \frac {-b+a x^2}{(b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\)
  3.16.35 \(\int \frac {-b+a x^2}{(b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\)
  3.16.36 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\)
  3.16.37 \(\int \frac {\sqrt [4]{b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\)
  3.16.38 \(\int \frac {b^3+a^3 x^3}{(-b^3+a^3 x^3) \sqrt {b^4+a^4 x^4}} \, dx\)
  3.16.39 \(\int \frac {(1+x^3)^{2/3} (1+x^3+2 x^6)}{x^6 (-1+2 x^6)} \, dx\)
  3.16.40 \(\int \frac {(1+x^3)^{2/3} (1+x^3+2 x^6)}{x^6 (-1+2 x^6)} \, dx\)
  3.16.41 \(\int \frac {(1+x^6) (-1+2 x^6) (-1+x^4+2 x^6)^{5/4}}{x^{10} (-1-x^4+2 x^6)} \, dx\)
  3.16.42 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+a^6 x^6)} \, dx\)
  3.16.43 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+a^6 x^6)} \, dx\)
  3.16.44 \(\int \frac {((1-3 k^2) x+2 k^2 x^3) (1-2 k^2 x^2+k^4 x^4)}{((1-x^2) (1-k^2 x^2))^{3/4} (1-d+(-1+3 d k^2) x^2-3 d k^4 x^4+d k^6 x^6)} \, dx\)
  3.16.45 \(\int \frac {\sqrt [4]{-1+2 x^4} (-1+x^4+x^8)}{x^6 (-1+x^4)} \, dx\)
  3.16.46 \(\int \frac {1}{\sqrt [4]{-b+a x^4} (-b-a x^4+x^8)} \, dx\)
  3.16.47 \(\int \frac {1}{\sqrt [4]{-b+a x^4} (-b-a x^4+x^8)} \, dx\)
  3.16.48 \(\int x^6 (-1+x^3)^{2/3} \, dx\)
  3.16.49 \(\int x^6 (1+x^3)^{2/3} \, dx\)
  3.16.50 \(\int x^4 \sqrt [3]{x+x^3} \, dx\)
  3.16.51 \(\int \frac {x^2 (3 a b^2-2 b (2 a+b) x+(a+2 b) x^2)}{(x (-a+x) (-b+x)^2)^{3/4} (a b^2-b (2 a+b) x+(a+2 b) x^2+(-1+d) x^3)} \, dx\)
  3.16.52 \(\int \frac {\sqrt [3]{1+x^4} (3+x^4)}{x^{17}} \, dx\)
  3.16.53 \(\int \frac {(-2+x^2) \sqrt [3]{x+x^3}}{x^2 (4-2 x^2+x^4)} \, dx\)
  3.16.54 \(\int \frac {(-2+x^2) \sqrt [3]{x+x^3}}{x^2 (4-2 x^2+x^4)} \, dx\)
  3.16.55 \(\int \frac {1}{(-1+x^4)^2 \sqrt [4]{-x^2+x^4}} \, dx\)
  3.16.56 \(\int \frac {(-1+x^2) (1-x+x^2-x^3+x^4)}{(1-x+x^2)^2 (1+x+x^2) \sqrt {1+3 x^2+x^4}} \, dx\)
  3.16.57 \(\int \frac {(b+a x^3) (b+2 a x^3)}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.16.58 \(\int \frac {-b^3+a^3 x^3}{(b^3+a^3 x^3) \sqrt {b^4+a^4 x^4}} \, dx\)
  3.16.59 \(\int \frac {x^4 (-2 b+a x^2)}{(-b+a x^2)^2 \sqrt [4]{-b+a x^2+c x^4}} \, dx\)
  3.16.60 \(\int \frac {(-1-2 x+x^2) (-1+2 x+x^2)}{(1-x+2 x^2+x^3+x^4) \sqrt [3]{-x+x^5}} \, dx\)
  3.16.61 \(\int \frac {-b-a x^3+x^6}{x^6 \sqrt [4]{b x+a x^4}} \, dx\)
  3.16.62 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+a^6 x^6)} \, dx\)
  3.16.63 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+a^6 x^6)} \, dx\)
  3.16.64 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+2 a^6 x^6)} \, dx\)
  3.16.65 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+2 a^6 x^6)} \, dx\)
  3.16.66 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+2 a^6 x^6)} \, dx\)
  3.16.67 \(\int \frac {1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+2 a^6 x^6)} \, dx\)
  3.16.68 \(\int \frac {x^4 (-4+x^3)}{\sqrt [4]{-1+x^3} (-1+2 x^3-x^6+x^8)} \, dx\)
  3.16.69 \(\int \frac {x^6}{(b+a x^4)^{3/4} (-b^2+a^2 x^8)} \, dx\)
  3.16.70 \(\int \frac {(-b^2+a x^2) \sqrt {b+\sqrt {b^2+a x^2}}}{b^2+a x^2} \, dx\)
  3.16.71 \(\int \sqrt [3]{x^2+x^3} \, dx\)
  3.16.72 \(\int \frac {-1+k^3 x^3}{\sqrt {(1-x) x (1-k^2 x)} (1+k^3 x^3)} \, dx\)
  3.16.73 \(\int \frac {b+a x^2}{(b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}} \, dx\)
  3.16.74 \(\int \frac {b+a x^2}{(b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}} \, dx\)
  3.16.75 \(\int \frac {c+b x^2+c k^2 x^4}{\sqrt {(1-x^2) (1-k^2 x^2)} (-1+k^2 x^4)} \, dx\)
  3.16.76 \(\int \frac {3 b+a x^4}{(-b+x^3+a x^4) \sqrt [4]{-b x+a x^5}} \, dx\)
  3.16.77 \(\int \frac {-1+x^6}{x^6 \sqrt [3]{x+x^3}} \, dx\)
  3.16.78 \(\int \frac {(-1+x^3)^{2/3} (2+x^6)}{x^6} \, dx\)
  3.16.79 \(\int \frac {(-1+x^3)^{2/3} (-2+x^3+x^6)}{x^6} \, dx\)
  3.16.80 \(\int \frac {(1+x^3)^{2/3} (1+2 x^6)}{x^6} \, dx\)
  3.16.81 \(\int \frac {3 b+2 a x^5}{(-b+x^3+a x^5) \sqrt [4]{-b x+a x^6}} \, dx\)
  3.16.82 \(\int \frac {\sqrt [4]{-1+x^4} (1+x^4+x^8)}{x^6 (-1+2 x^8)} \, dx\)
  3.16.83 \(\int \frac {\sqrt [4]{-1+x^4} (1+x^4+x^8)}{x^6 (-1+2 x^8)} \, dx\)
  3.16.84 \(\int \frac {\sqrt {-b x+a^2 x^2}}{(a x^2+x \sqrt {-b x+a^2 x^2})^{3/2}} \, dx\)
  3.16.85 \(\int x^7 \sqrt [3]{-1+x^3} \, dx\)
  3.16.86 \(\int x^7 \sqrt [3]{1+x^3} \, dx\)
  3.16.87 \(\int \frac {\sqrt [3]{-1+x^3} (1+x^3)}{x^{13}} \, dx\)
  3.16.88 \(\int \frac {(-b+x) (a-3 b+2 x)}{(-a+x) ((-a+x) (-b+x))^{3/4} (b-a^3 d-(1-3 a^2 d) x-3 a d x^2+d x^3)} \, dx\)
  3.16.89 \(\int x^8 (-b+a x^4)^{3/4} \, dx\)
  3.16.90 \(\int \frac {1}{(b+a x^3) \sqrt [4]{-b x+a x^4}} \, dx\)
  3.16.91 \(\int \frac {\sqrt [4]{-b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\)
  3.16.92 \(\int \frac {\sqrt [4]{-b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\)
  3.16.93 \(\int \frac {(-2+(1+k) x) (1-(1+k) x+(a+k) x^2)}{\sqrt [3]{(1-x) x (1-k x)} (1-2 (1+k) x+(1+c+4 k+k^2) x^2-(c+2 k+c k+2 k^2) x^3+(-b+c k+k^2) x^4)} \, dx\)
  3.16.94 \(\int \frac {\sqrt [3]{-1+x^6} (1+x^6)}{x^3} \, dx\)
  3.16.95 \(\int \frac {(1+x^3)^{2/3} (1-2 x^3+x^6)}{x^6 (-2+x^6)} \, dx\)
  3.16.96 \(\int \frac {(1+x^3)^{2/3} (1-2 x^3+x^6)}{x^6 (-2+x^6)} \, dx\)
  3.16.97 \(\int \frac {\sqrt [3]{-1+x^6} (-1+2 x^6)}{x^9} \, dx\)
  3.16.98 \(\int \frac {(-1+x^3)^{2/3} (-1+x^6)}{x^6 (-2+x^3+2 x^6)} \, dx\)
  3.16.99 \(\int \frac {(-1+x^3)^{2/3} (-1+x^6)}{x^6 (-2+x^3+2 x^6)} \, dx\)
  3.16.100 \(\int \frac {\sqrt [4]{-1+x^4} (2-x^4+2 x^8)}{x^{10} (-1+2 x^4)} \, dx\)