3.4.1 \(\int \frac {x^5}{\sqrt {b+a x^3}} \, dx\)
  3.4.2 \(\int \frac {1}{x^4 \sqrt [4]{-x^2+x^4}} \, dx\)
  3.4.3 \(\int \frac {1}{x \sqrt {b+a x^4}} \, dx\)
  3.4.4 \(\int \frac {1}{x^7 \sqrt [3]{-x^2+x^6}} \, dx\)
  3.4.5 \(\int \frac {\sqrt {-1+x^3}}{x} \, dx\)
  3.4.6 \(\int \frac {(-1+x^3) \sqrt [3]{1+x^3}}{x^8} \, dx\)
  3.4.7 \(\int \frac {\sqrt {1+x^3}}{x} \, dx\)
  3.4.8 \(\int \frac {\sqrt [3]{-1+x^3} (1+x^3)}{x^8} \, dx\)
  3.4.9 \(\int \frac {(-1+x^3)^{2/3} (2+x^3)}{x^9} \, dx\)
  3.4.10 \(\int \frac {(1+x^3)^{2/3} (2+x^3)}{x^9} \, dx\)
  3.4.11 \(\int \frac {1}{x^6 \sqrt [3]{x+x^3}} \, dx\)
  3.4.12 \(\int \frac {-2-x+2 x^2}{(-1+x) x \sqrt [4]{-x^2+x^3}} \, dx\)
  3.4.13 \(\int \frac {2+x}{(-1+x) \sqrt {-x-x^2+x^3}} \, dx\)
  3.4.14 \(\int \frac {(3+x^2) (1+x^2+x^3)}{x^6 \sqrt [4]{x+x^3}} \, dx\)
  3.4.15 \(\int \frac {\sqrt [3]{-1+x^3} (-1+2 x^3)}{x^{11}} \, dx\)
  3.4.16 \(\int \frac {\sqrt [3]{-1+x^3} (-1+2 x^3)}{x^8} \, dx\)
  3.4.17 \(\int \frac {(3+x^2) (-1-x^2+2 x^3)}{x^6 \sqrt [4]{x+x^3}} \, dx\)
  3.4.18 \(\int \frac {2 b+a x^3}{\sqrt {-b+a x^3} (-b+x^2+a x^3)} \, dx\)
  3.4.19 \(\int \frac {(-4+x^4) (-1+x^4)^{3/4}}{x^{12}} \, dx\)
  3.4.20 \(\int \frac {\sqrt {1+x^4}}{x} \, dx\)
  3.4.21 \(\int \frac {\sqrt [4]{-x+x^4}}{x^8} \, dx\)
  3.4.22 \(\int \frac {\sqrt [4]{x+x^4}}{x^8} \, dx\)
  3.4.23 \(\int \frac {2+x^2}{(-1+x^2) \sqrt {-1-x^2+x^4}} \, dx\)
  3.4.24 \(\int \frac {(4+x^3) (-1-x^3+x^4)}{x^6 (1+x^3)^{3/4}} \, dx\)
  3.4.25 \(\int \frac {(4+x^3) (-1-x^3+x^4)}{x^8 \sqrt [4]{1+x^3}} \, dx\)
  3.4.26 \(\int \frac {(-4+x^3) (1-x^3+x^4)}{x^8 \sqrt [4]{-1+x^3}} \, dx\)
  3.4.27 \(\int \frac {x}{\sqrt {x^3+x^4}} \, dx\)
  3.4.28 \(\int \frac {1}{x (1+x) \sqrt [4]{x^3+x^4}} \, dx\)
  3.4.29 \(\int \frac {(4+x^3) (-1-x^3+2 x^4)}{x^6 (1+x^3)^{3/4}} \, dx\)
  3.4.30 \(\int \frac {(-3+x^4) (1-x^3+x^4)}{x^6 \sqrt [4]{x+x^5}} \, dx\)
  3.4.31 \(\int \frac {\sqrt {-1+x^6}}{x} \, dx\)
  3.4.32 \(\int \frac {-1+x^6}{x \sqrt {1+x^6}} \, dx\)
  3.4.33 \(\int \frac {\sqrt {1+x^6}}{x} \, dx\)
  3.4.34 \(\int \frac {\sqrt [3]{-1+x^6} (1+x^6)}{x^{15}} \, dx\)
  3.4.35 \(\int \frac {(1-x^3+x^5) (-3+2 x^5)}{x^6 \sqrt [4]{x+x^6}} \, dx\)
  3.4.36 \(\int \frac {(-2+x^6) (1-x^4+x^6)}{x^8 \sqrt [4]{1+x^6}} \, dx\)
  3.4.37 \(\int \frac {\sqrt [3]{-1+x^6} (-1+2 x^6)}{x^{15}} \, dx\)
  3.4.38 \(\int \frac {x^2 (-2+x^3) \sqrt {1+x^3}}{1+3 x^3+x^9} \, dx\)
  3.4.39 \(\int \frac {x^4 (-9+4 x^5)}{\sqrt {-x+x^6} (a-a x^5+x^9)} \, dx\)
  3.4.40 \(\int \frac {x^4 (-9+5 x^4)}{\sqrt {-x+x^5} (1-x^4+a x^9)} \, dx\)
  3.4.41 \(\int \frac {x^4 (-9+4 x^5)}{\sqrt {-x+x^6} (1-x^5+a x^9)} \, dx\)
  3.4.42 \(\int \frac {1+x^{12}}{x^{16} \sqrt {-1+x^6}} \, dx\)
  3.4.43 \(\int \frac {-1+x}{(-3+x) (1+x) \sqrt [4]{-2-2 x+x^2}} \, dx\)
  3.4.44 \(\int \frac {1}{(-1+x) \sqrt [4]{2-2 x+x^2}} \, dx\)
  3.4.45 \(\int \frac {1}{(1+x) \sqrt [4]{2+2 x+x^2}} \, dx\)
  3.4.46 \(\int \frac {1}{x \sqrt [4]{1+x^3}} \, dx\)
  3.4.47 \(\int \frac {1}{x \sqrt {-b+a x^3}} \, dx\)
  3.4.48 \(\int \frac {x^5}{\sqrt {-b+a x^3}} \, dx\)
  3.4.49 \(\int \frac {1+x}{(-1+x) \sqrt {1-x^2+x^4}} \, dx\)
  3.4.50 \(\int \frac {(-1+x^4) (1+x^4)}{(1+x^2+x^4)^{5/2}} \, dx\)
  3.4.51 \(\int \frac {x^2 (-4+x^3)}{(-1+x^3)^{3/4} (1-x^3+x^4)} \, dx\)
  3.4.52 \(\int \frac {1+2 x}{\sqrt {-4-4 x-3 x^2+2 x^3+x^4}} \, dx\)
  3.4.53 \(\int \frac {1}{x \sqrt {-b+a x^4}} \, dx\)
  3.4.54 \(\int \frac {-1+2 x^6}{(1+x^6) \sqrt {1-2 x^2+x^6}} \, dx\)
  3.4.55 \(\int \frac {1+2 x^6}{(-1+x^6) \sqrt {-1-2 x^2+x^6}} \, dx\)
  3.4.56 \(\int x^8 \sqrt [3]{-1+x^3} \, dx\)
  3.4.57 \(\int x^8 \sqrt [4]{1+x^3} \, dx\)
  3.4.58 \(\int \frac {1}{x^6 \sqrt [3]{-x+x^3}} \, dx\)
  3.4.59 \(\int \frac {1}{x^3 \sqrt [3]{-x^2+x^3}} \, dx\)
  3.4.60 \(\int \frac {(-3+x^2) (1-x^2+x^3)}{x^6 \sqrt [4]{-x+x^3}} \, dx\)
  3.4.61 \(\int \frac {1+x^2}{(-1+x^2) \sqrt {-x-x^2+x^3}} \, dx\)
  3.4.62 \(\int \frac {-1+x^3}{x^3 (1+x^3) \sqrt [4]{x+x^4}} \, dx\)
  3.4.63 \(\int \frac {\sqrt [4]{-x^2+x^4}}{x^6} \, dx\)
  3.4.64 \(\int \frac {-1+2 x}{\sqrt {1+x-2 x^3+x^4}} \, dx\)
  3.4.65 \(\int \frac {1+x}{(-1+x) x \sqrt [4]{-x^3+x^4}} \, dx\)
  3.4.66 \(\int \frac {(3+x^4) (-1-x^3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\)
  3.4.67 \(\int \frac {(3+x^4) (-1+x^3+x^4)}{x^6 \sqrt [4]{-x+x^5}} \, dx\)
  3.4.68 \(\int \frac {-1+3 x^4}{(1-a x+x^4) \sqrt {x+x^5}} \, dx\)
  3.4.69 \(\int \frac {-1+3 x^4}{(a-x+a x^4) \sqrt {x+x^5}} \, dx\)
  3.4.70 \(\int \frac {\sqrt {-1+x^6} (2+x^6)}{x^3 (-1-x^4+x^6)} \, dx\)
  3.4.71 \(\int \frac {\sqrt {1-x^6} (1+2 x^6)}{x^2 (-1-x^2+x^6)} \, dx\)
  3.4.72 \(\int \frac {1}{x^4 \sqrt {-1+x^3}} \, dx\)
  3.4.73 \(\int \frac {-2-2 x+x^2}{(3-x+x^2) \sqrt {-1+x^3}} \, dx\)
  3.4.74 \(\int \frac {-2-2 x+x^2}{(-1+3 x+x^2) \sqrt {-1+x^3}} \, dx\)
  3.4.75 \(\int \frac {\sqrt {-1+x^3}}{x^4} \, dx\)
  3.4.76 \(\int \frac {1}{x^4 \sqrt {1+x^3}} \, dx\)
  3.4.77 \(\int \frac {1+x}{(-2+x) \sqrt {1+x^3}} \, dx\)
  3.4.78 \(\int \frac {\sqrt {1+x^3}}{x^4} \, dx\)
  3.4.79 \(\int \frac {1+x}{(-1+2 x) \sqrt {x+x^4}} \, dx\)
  3.4.80 \(\int \frac {-1+x}{\sqrt {-5+4 x^2-4 x^3+x^4}} \, dx\)
  3.4.81 \(\int \frac {2+x}{\sqrt {13+16 x^2+8 x^3+x^4}} \, dx\)
  3.4.82 \(\int \frac {x}{\sqrt {b+a x^4}} \, dx\)
  3.4.83 \(\int \frac {1}{x^7 \sqrt {-1+x^6}} \, dx\)
  3.4.84 \(\int \frac {\sqrt {-1+x^6}}{x^7} \, dx\)
  3.4.85 \(\int \frac {-1+x^6}{x^7 \sqrt {1+x^6}} \, dx\)
  3.4.86 \(\int \frac {\sqrt {1+x^6}}{x^7} \, dx\)
  3.4.87 \(\int \frac {(2+x^6) (1-2 x^6+x^8+x^{12})}{x^{10} (-1+x^6)^{3/4}} \, dx\)
  3.4.88 \(\int \frac {-1+2 x+2 x^2}{(1-x+3 x^2) \sqrt {-x+x^4}} \, dx\)
  3.4.89 \(\int \frac {1+x^3}{x^3 (-1+x^3) \sqrt [4]{-x+x^4}} \, dx\)
  3.4.90 \(\int \frac {-1-2 x+2 x^2}{(-1+3 x+x^2) \sqrt {x+x^4}} \, dx\)
  3.4.91 \(\int \frac {-1+x^2}{x^2 (1+x^2) \sqrt [4]{x^2+x^4}} \, dx\)
  3.4.92 \(\int \frac {-1+2 x}{\sqrt {-8 x+9 x^2-2 x^3+x^4}} \, dx\)
  3.4.93 \(\int \frac {-a+2 x}{(-1+b-a x+x^2) \sqrt [4]{b-a x+x^2}} \, dx\)
  3.4.94 \(\int \frac {(-4+x^3) (-1+x^3)^{2/3}}{x^{12}} \, dx\)
  3.4.95 \(\int \frac {-2+2 x+x^2}{(-1-3 x+x^2) \sqrt {1+x^3}} \, dx\)
  3.4.96 \(\int \frac {-2+2 x+x^2}{(3-x+2 x^2) \sqrt {1+x^3}} \, dx\)
  3.4.97 \(\int \frac {-2+2 x+x^2}{(2-4 x+3 x^2) \sqrt {1+x^3}} \, dx\)
  3.4.98 \(\int \frac {(-1+x^3) \sqrt [3]{1+x^3}}{x^{11}} \, dx\)
  3.4.99 \(\int \frac {\sqrt [3]{-1+x^3} (1+x^3)}{x^{11}} \, dx\)
  3.4.100 \(\int \frac {-1-2 x+x^2+3 x^3}{\sqrt [4]{-1+3 x-3 x^2+x^3}} \, dx\)