3.7.1 \(\int \frac {x+4 x^6}{(-1+x^5) (-a-x+a x^5) \sqrt {-x+x^6}} \, dx\)
  3.7.2 \(\int \frac {(-1+6 x^4) \sqrt {x+2 x^5}}{(1+2 x^4) (1-x^2+4 x^4+4 x^8)} \, dx\)
  3.7.3 \(\int \sqrt {1+\sqrt {1+x}} \, dx\)
  3.7.4 \(\int \frac {\sqrt {1+\sqrt {1+x^2}}}{x} \, dx\)
  3.7.5 \(\int \frac {1}{1+\sqrt [4]{9-6 x+x^2}} \, dx\)
  3.7.6 \(\int \frac {x^2}{(-2+x^2) (-1+x^2)^{3/4}} \, dx\)
  3.7.7 \(\int \frac {(-1+x^2) \sqrt {1+x^4}}{(1+x^2)^3} \, dx\)
  3.7.8 \(\int \frac {77-46 x+5 x^2}{(-23+82 x-23 x^2) \sqrt {-60+83 x-21 x^2-3 x^3+x^4}} \, dx\)
  3.7.9 \(\int \frac {(-1+x) \sqrt [4]{x^3+x^4}}{x (1+x)} \, dx\)
  3.7.10 \(\int \frac {(-1+x^4) \sqrt [4]{x^3+x^4}}{x^8} \, dx\)
  3.7.11 \(\int \frac {-1+4 x-4 x^2+4 x^4}{\sqrt {\frac {1-2 x^2}{1+2 x^2}} (1+2 x^2) (-1-4 x+12 x^2-8 x^3+4 x^4)} \, dx\)
  3.7.12 \(\int \frac {(-3+x^4) (1-2 x^3+x^4) (1-x^3+x^4)}{x^6 (1+x^4) \sqrt [4]{x+x^5}} \, dx\)
  3.7.13 \(\int \frac {x^{20}}{\sqrt {-1+x^6}} \, dx\)
  3.7.14 \(\int x^{14} \sqrt {-1+x^6} \, dx\)
  3.7.15 \(\int \frac {x^{20}}{\sqrt {1+x^6}} \, dx\)
  3.7.16 \(\int \frac {x-4 x^6}{\sqrt {x+x^6} (1-a x^2+2 x^5+x^{10})} \, dx\)
  3.7.17 \(\int \frac {-x+4 x^6}{\sqrt {x+x^6} (a-x^2+2 a x^5+a x^{10})} \, dx\)
  3.7.18 \(\int \frac {\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{\sqrt {1+x^2}} \, dx\)
  3.7.19 \(\int \frac {-3 b+2 a x}{\sqrt [4]{-b x+a x^2} (b-a x+x^3)} \, dx\)
  3.7.20 \(\int \frac {(-4+x^3) \sqrt {2-x^2+x^3}}{(2+x^3) (2+x^2+x^3)} \, dx\)
  3.7.21 \(\int x^2 \sqrt [4]{-1+x^4} \, dx\)
  3.7.22 \(\int x^2 \sqrt [4]{1+x^4} \, dx\)
  3.7.23 \(\int \frac {(-b+a x^3) \sqrt {x+x^4}}{x^3} \, dx\)
  3.7.24 \(\int \frac {1}{(-2+x^4) \sqrt [4]{x^2+x^4}} \, dx\)
  3.7.25 \(\int \frac {-4 b+a x^3}{\sqrt [4]{-b+a x^3} (b-a x^3+x^4)} \, dx\)
  3.7.26 \(\int \frac {-x+3 x^5}{(1+x^4) (a-x+a x^4) \sqrt {x+x^5}} \, dx\)
  3.7.27 \(\int \frac {(-1+x^3) \sqrt {-1+x^6}}{x^{10}} \, dx\)
  3.7.28 \(\int \frac {1+x^6}{\sqrt [4]{-x^3+x^5} (1+x^3-x^6)} \, dx\)
  3.7.29 \(\int \frac {1+x^6}{\sqrt [4]{-x^3+x^5} (1+x^3-x^6)} \, dx\)
  3.7.30 \(\int \frac {x (6 b+5 a x)}{\sqrt [4]{b x^2+a x^3} (-b-a x+x^6)} \, dx\)
  3.7.31 \(\int \frac {\sqrt {-1+x^5} (2+3 x^5)}{1-a x^4-2 x^5+x^{10}} \, dx\)
  3.7.32 \(\int \frac {\sqrt {-1+x^5} (2+3 x^5)}{a-x^4-2 a x^5+a x^{10}} \, dx\)
  3.7.33 \(\int \frac {\sqrt {1+x^5} (-2+3 x^5)}{a-x^4+2 a x^5+a x^{10}} \, dx\)
  3.7.34 \(\int \frac {1}{\sqrt {1+\sqrt {1+x^2}}} \, dx\)
  3.7.35 \(\int x^6 \sqrt {-x+x^4} \, dx\)
  3.7.36 \(\int \frac {(-1+x^2) \sqrt [4]{-x^3+x^4}}{x^8} \, dx\)
  3.7.37 \(\int \frac {(-1+x^3) \sqrt {-1+x^6}}{x (1+x^3)} \, dx\)
  3.7.38 \(\int \frac {(1+x^3) \sqrt {-1+x^6}}{x (-1+x^3)} \, dx\)
  3.7.39 \(\int \frac {2 b+a x^4}{\sqrt [4]{b+a x^4} (-2 b-2 a x^4+x^8)} \, dx\)
  3.7.40 \(\int \frac {2 b+a x^4}{\sqrt [4]{b+a x^4} (-2 b-2 a x^4+x^8)} \, dx\)
  3.7.41 \(\int \frac {(-1+x^6) (1+x^6)}{\sqrt [4]{x-x^4+x^7} (1+3 x^6+x^{12})} \, dx\)
  3.7.42 \(\int \sqrt {1+\sqrt {1+x^2}} \, dx\)
  3.7.43 \(\int \frac {\sqrt {1+\sqrt {1+x^2}}}{x^2} \, dx\)
  3.7.44 \(\int \frac {1}{x (b+a x^2)^{3/4}} \, dx\)
  3.7.45 \(\int \frac {-7+x}{(-11+5 x) \sqrt {-60+83 x-21 x^2-3 x^3+x^4}} \, dx\)
  3.7.46 \(\int \frac {(-2+x^6) \sqrt {-1+x^6}}{x (2+x^6)} \, dx\)
  3.7.47 \(\int \frac {\sqrt {-1-x^2+x^6} (1+2 x^6)}{(-1+x^6) (-2+x^2+2 x^6)} \, dx\)
  3.7.48 \(\int \frac {x (-8 b+5 a x^3)}{\sqrt [4]{-b+a x^3} (b-a x^3+x^8)} \, dx\)
  3.7.49 \(\int \frac {2+16 x-x^2-9 x^3}{\sqrt [4]{\frac {1+x}{-2+x^2}} (-2+x^2) (-3+2 x+7 x^2-7 x^3-9 x^4+9 x^5+5 x^6-5 x^7-x^8+x^9)} \, dx\)
  3.7.50 \(\int \frac {-1+7 x^8}{(1+x^8) \sqrt {3-x+x^2+6 x^8-x^9+3 x^{16}}} \, dx\)
  3.7.51 \(\int \frac {\sqrt {1+\sqrt {1+x^2}}}{x^2 \sqrt {1+x^2}} \, dx\)
  3.7.52 \(\int \frac {x}{x+\sqrt {1+\sqrt {1+x}}} \, dx\)
  3.7.53 \(\int \frac {a+2 x}{\sqrt [4]{b+a x+x^2} (-1+2 b+2 a x+2 x^2)} \, dx\)
  3.7.54 \(\int \frac {1}{x^7 \sqrt [4]{1+x^3}} \, dx\)
  3.7.55 \(\int \frac {\sqrt [4]{1+x^3}}{x^7} \, dx\)
  3.7.56 \(\int \frac {\sqrt {b+a x^3} (2 b+a x^3)}{x} \, dx\)
  3.7.57 \(\int \frac {(1+x^3) \sqrt {-1+x^6}}{x^{13} (-1+x^3)} \, dx\)
  3.7.58 \(\int \frac {\sqrt {x+x^4} (-b+a x^6)}{x^6} \, dx\)
  3.7.59 \(\int \frac {-7 b x+5 a x^3}{\sqrt [4]{-b x+a x^3} (b-a x^2+x^7)} \, dx\)
  3.7.60 \(\int \frac {x+3 x^5}{\sqrt {-x+x^5} (1-a x^2-2 x^4+x^8)} \, dx\)
  3.7.61 \(\int \frac {x+3 x^5}{\sqrt {-x+x^5} (a-x^2-2 a x^4+a x^8)} \, dx\)
  3.7.62 \(\int \frac {x+4 x^6}{\sqrt {-x+x^6} (1-a x^2-2 x^5+x^{10})} \, dx\)
  3.7.63 \(\int \frac {x+4 x^6}{\sqrt {-x+x^6} (a-x^2-2 a x^5+a x^{10})} \, dx\)
  3.7.64 \(\int \frac {1}{(-5+2 x)^2 \sqrt [4]{4-4 x+x^2}} \, dx\)
  3.7.65 \(\int \frac {(-2+x^3) \sqrt {1+x^3} (2-x^2+2 x^3)}{x^4 (1-3 x^2+x^3)} \, dx\)
  3.7.66 \(\int \frac {(-b+a x^3) \sqrt {b+a x^3}}{x} \, dx\)
  3.7.67 \(\int \frac {x^2}{(-1+x^4) \sqrt {1+x^4}} \, dx\)
  3.7.68 \(\int \frac {\sqrt {1+x^4}}{-1+x^4} \, dx\)
  3.7.69 \(\int (b+a x^3) \sqrt {x+x^4} \, dx\)
  3.7.70 \(\int \sqrt [4]{x^2+x^4} \, dx\)
  3.7.71 \(\int \frac {(-1+x^4) \sqrt {1+x^4}}{(1+3 x^2+x^4)^2} \, dx\)
  3.7.72 \(\int \frac {1}{x^8 \sqrt [4]{x^3+x^4}} \, dx\)
  3.7.73 \(\int \frac {1+4 x}{\sqrt {1-2 x+3 x^2+2 x^3+x^4}} \, dx\)
  3.7.74 \(\int \frac {1}{\sqrt [4]{-1+x^4} (1+3 x^4)} \, dx\)
  3.7.75 \(\int \frac {-3 b+a x^4}{(b-x^3+a x^4) \sqrt [4]{b x+a x^5}} \, dx\)
  3.7.76 \(\int x^{20} \sqrt {-1+x^6} \, dx\)
  3.7.77 \(\int \frac {(-1+x^3) \sqrt {-1+x^6}}{x^4 (1+x^3)} \, dx\)
  3.7.78 \(\int \frac {1+x^6}{\sqrt {1-x^2+x^4} (1-x^6)} \, dx\)
  3.7.79 \(\int \frac {(-2+x^6) \sqrt {-1+x^6}}{x^7 (2+x^6)} \, dx\)
  3.7.80 \(\int \frac {x (-6 b+5 a x)}{\sqrt [4]{-b x^2+a x^3} (b-a x+x^6)} \, dx\)
  3.7.81 \(\int \frac {\sqrt {1+x^3} (2+2 x^3+x^6)}{x (-1+x^6)} \, dx\)
  3.7.82 \(\int \frac {(-1+x^4) \sqrt {1+x^4}}{1+x^8} \, dx\)
  3.7.83 \(\int \frac {-1+x^8}{\sqrt {1+x^4} (1+x^8)} \, dx\)
  3.7.84 \(\int \frac {\sqrt {-2+x^4} (2+x^4)}{4-6 x^4+x^8} \, dx\)
  3.7.85 \(\int \frac {-2 b+a x^4}{\sqrt [4]{-b+a x^4} (-b+a x^4+2 x^8)} \, dx\)
  3.7.86 \(\int \frac {1}{x^2 \sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.7.87 \(\int \frac {-1+\sqrt {k} x}{(1+\sqrt {k} x) \sqrt {(1-x^2) (1-k^2 x^2)}} \, dx\)
  3.7.88 \(\int \frac {1+\sqrt {k} x}{(-1+\sqrt {k} x) \sqrt {(1-x^2) (1-k^2 x^2)}} \, dx\)
  3.7.89 \(\int \frac {2+x}{(-1+x) \sqrt {-1+3 x-a x^2+x^3}} \, dx\)
  3.7.90 \(\int \frac {-2+x}{(1+x) \sqrt {1+3 x-a x^2+x^3}} \, dx\)
  3.7.91 \(\int \frac {(-1+x^4) \sqrt [4]{1+x^4}}{x^2} \, dx\)
  3.7.92 \(\int \frac {2 b+a x^2}{\sqrt [4]{b+a x^2} (-2 b-2 a x^2+x^4)} \, dx\)
  3.7.93 \(\int \frac {\sqrt [4]{-x^3+x^4}}{x} \, dx\)
  3.7.94 \(\int \frac {(-1+x^3) \sqrt {-1+x^6}}{x^{13}} \, dx\)
  3.7.95 \(\int \frac {(2+x^3) \sqrt [3]{x-x^4}}{1+x^2-2 x^3-x^4-x^5+x^6} \, dx\)
  3.7.96 \(\int \frac {(2+x^3) \sqrt [3]{x-x^4}}{1+x^2-2 x^3-x^4-x^5+x^6} \, dx\)
  3.7.97 \(\int \frac {1}{\sqrt [8]{1+2 x^4+x^8}} \, dx\)
  3.7.98 \(\int \frac {1}{x \sqrt {x+\sqrt {1+x^2}}} \, dx\)
  3.7.99 \(\int \frac {1-2 x+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (-1+2 x+(-2+k^2) x^2)} \, dx\)
  3.7.100 \(\int \frac {1}{x (b+a x^3)^{3/4}} \, dx\)