3.7.1 \(\int \genfrac {}{}{}{}{x+4 x^6}{(-1+x^5) (-a-x+a x^5) \sqrt {-x+x^6}} \, dx\) [601]
  3.7.2 \(\int \genfrac {}{}{}{}{(-1+6 x^4) \sqrt {x+2 x^5}}{(1+2 x^4) (1-x^2+4 x^4+4 x^8)} \, dx\) [602]
  3.7.3 \(\int \sqrt {1+\sqrt {1+x}} \, dx\) [603]
  3.7.4 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{x} \, dx\) [604]
  3.7.5 \(\int \genfrac {}{}{}{}{1}{1+\sqrt [4]{9-6 x+x^2}} \, dx\) [605]
  3.7.6 \(\int \genfrac {}{}{}{}{x^2}{(-2+x^2) (-1+x^2)^{3/4}} \, dx\) [606]
  3.7.7 \(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt {1+x^4}}{(1+x^2)^3} \, dx\) [607]
  3.7.8 \(\int \genfrac {}{}{}{}{77-46 x+5 x^2}{(-23+82 x-23 x^2) \sqrt {-60+83 x-21 x^2-3 x^3+x^4}} \, dx\) [608]
  3.7.9 \(\int \genfrac {}{}{}{}{(-1+x) \sqrt [4]{x^3+x^4}}{x (1+x)} \, dx\) [609]
  3.7.10 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{x^3+x^4}}{x^8} \, dx\) [610]
  3.7.11 \(\int \genfrac {}{}{}{}{-1+4 x-4 x^2+4 x^4}{\sqrt {\genfrac {}{}{}{}{1-2 x^2}{1+2 x^2}} (1+2 x^2) (-1-4 x+12 x^2-8 x^3+4 x^4)} \, dx\) [611]
  3.7.12 \(\int \genfrac {}{}{}{}{(-3+x^4) (1-2 x^3+x^4) (1-x^3+x^4)}{x^6 (1+x^4) \sqrt [4]{x+x^5}} \, dx\) [612]
  3.7.13 \(\int \genfrac {}{}{}{}{x^{20}}{\sqrt {-1+x^6}} \, dx\) [613]
  3.7.14 \(\int x^{14} \sqrt {-1+x^6} \, dx\) [614]
  3.7.15 \(\int \genfrac {}{}{}{}{x^{20}}{\sqrt {1+x^6}} \, dx\) [615]
  3.7.16 \(\int \genfrac {}{}{}{}{x-4 x^6}{\sqrt {x+x^6} (1-a x^2+2 x^5+x^{10})} \, dx\) [616]
  3.7.17 \(\int \genfrac {}{}{}{}{-x+4 x^6}{\sqrt {x+x^6} (a-x^2+2 a x^5+a x^{10})} \, dx\) [617]
  3.7.18 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {x+\sqrt {1+x^2}}}}{\sqrt {1+x^2}} \, dx\) [618]
  3.7.19 \(\int \genfrac {}{}{}{}{-3 b+2 a x}{\sqrt [4]{-b x+a x^2} (b-a x+x^3)} \, dx\) [619]
  3.7.20 \(\int \genfrac {}{}{}{}{(-4+x^3) \sqrt {2-x^2+x^3}}{(2+x^3) (2+x^2+x^3)} \, dx\) [620]
  3.7.21 \(\int x^2 \sqrt [4]{-1+x^4} \, dx\) [621]
  3.7.22 \(\int x^2 \sqrt [4]{1+x^4} \, dx\) [622]
  3.7.23 \(\int \genfrac {}{}{}{}{(-b+a x^3) \sqrt {x+x^4}}{x^3} \, dx\) [623]
  3.7.24 \(\int \genfrac {}{}{}{}{1}{(-2+x^4) \sqrt [4]{x^2+x^4}} \, dx\) [624]
  3.7.25 \(\int \genfrac {}{}{}{}{-4 b+a x^3}{\sqrt [4]{-b+a x^3} (b-a x^3+x^4)} \, dx\) [625]
  3.7.26 \(\int \genfrac {}{}{}{}{-x+3 x^5}{(1+x^4) (a-x+a x^4) \sqrt {x+x^5}} \, dx\) [626]
  3.7.27 \(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt {-1+x^6}}{x^{10}} \, dx\) [627]
  3.7.28 \(\int \genfrac {}{}{}{}{1+x^6}{\sqrt [4]{-x^3+x^5} (1+x^3-x^6)} \, dx\) [628]
  3.7.29 \(\int \genfrac {}{}{}{}{1+x^6}{\sqrt [4]{-x^3+x^5} (1+x^3-x^6)} \, dx\) [629]
  3.7.30 \(\int \genfrac {}{}{}{}{x (6 b+5 a x)}{\sqrt [4]{b x^2+a x^3} (-b-a x+x^6)} \, dx\) [630]
  3.7.31 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^5} (2+3 x^5)}{1-a x^4-2 x^5+x^{10}} \, dx\) [631]
  3.7.32 \(\int \genfrac {}{}{}{}{\sqrt {-1+x^5} (2+3 x^5)}{a-x^4-2 a x^5+a x^{10}} \, dx\) [632]
  3.7.33 \(\int \genfrac {}{}{}{}{\sqrt {1+x^5} (-2+3 x^5)}{a-x^4+2 a x^5+a x^{10}} \, dx\) [633]
  3.7.34 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\sqrt {1+x^2}}} \, dx\) [634]
  3.7.35 \(\int x^6 \sqrt {-x+x^4} \, dx\) [635]
  3.7.36 \(\int \genfrac {}{}{}{}{(-1+x^2) \sqrt [4]{-x^3+x^4}}{x^8} \, dx\) [636]
  3.7.37 \(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt {-1+x^6}}{x (1+x^3)} \, dx\) [637]
  3.7.38 \(\int \genfrac {}{}{}{}{(1+x^3) \sqrt {-1+x^6}}{x (-1+x^3)} \, dx\) [638]
  3.7.39 \(\int \genfrac {}{}{}{}{2 b+a x^4}{\sqrt [4]{b+a x^4} (-2 b-2 a x^4+x^8)} \, dx\) [639]
  3.7.40 \(\int \genfrac {}{}{}{}{2 b+a x^4}{\sqrt [4]{b+a x^4} (-2 b-2 a x^4+x^8)} \, dx\) [640]
  3.7.41 \(\int \genfrac {}{}{}{}{(-1+x^6) (1+x^6)}{\sqrt [4]{x-x^4+x^7} (1+3 x^6+x^{12})} \, dx\) [641]
  3.7.42 \(\int \sqrt {1+\sqrt {1+x^2}} \, dx\) [642]
  3.7.43 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{x^2} \, dx\) [643]
  3.7.44 \(\int \genfrac {}{}{}{}{1}{x (b+a x^2)^{3/4}} \, dx\) [644]
  3.7.45 \(\int \genfrac {}{}{}{}{-7+x}{(-11+5 x) \sqrt {-60+83 x-21 x^2-3 x^3+x^4}} \, dx\) [645]
  3.7.46 \(\int \genfrac {}{}{}{}{(-2+x^6) \sqrt {-1+x^6}}{x (2+x^6)} \, dx\) [646]
  3.7.47 \(\int \genfrac {}{}{}{}{\sqrt {-1-x^2+x^6} (1+2 x^6)}{(-1+x^6) (-2+x^2+2 x^6)} \, dx\) [647]
  3.7.48 \(\int \genfrac {}{}{}{}{x (-8 b+5 a x^3)}{\sqrt [4]{-b+a x^3} (b-a x^3+x^8)} \, dx\) [648]
  3.7.49 \(\int \genfrac {}{}{}{}{2+16 x-x^2-9 x^3}{\sqrt [4]{\genfrac {}{}{}{}{1+x}{-2+x^2}} (-2+x^2) (-3+2 x+7 x^2-7 x^3-9 x^4+9 x^5+5 x^6-5 x^7-x^8+x^9)} \, dx\) [649]
  3.7.50 \(\int \genfrac {}{}{}{}{-1+7 x^8}{(1+x^8) \sqrt {3-x+x^2+6 x^8-x^9+3 x^{16}}} \, dx\) [650]
  3.7.51 \(\int \genfrac {}{}{}{}{\sqrt {1+\sqrt {1+x^2}}}{x^2 \sqrt {1+x^2}} \, dx\) [651]
  3.7.52 \(\int \genfrac {}{}{}{}{x}{x+\sqrt {1+\sqrt {1+x}}} \, dx\) [652]
  3.7.53 \(\int \genfrac {}{}{}{}{a+2 x}{\sqrt [4]{b+a x+x^2} (-1+2 b+2 a x+2 x^2)} \, dx\) [653]
  3.7.54 \(\int \genfrac {}{}{}{}{1}{x^7 \sqrt [4]{1+x^3}} \, dx\) [654]
  3.7.55 \(\int \genfrac {}{}{}{}{\sqrt [4]{1+x^3}}{x^7} \, dx\) [655]
  3.7.56 \(\int \genfrac {}{}{}{}{\sqrt {b+a x^3} (2 b+a x^3)}{x} \, dx\) [656]
  3.7.57 \(\int \genfrac {}{}{}{}{(1+x^3) \sqrt {-1+x^6}}{x^{13} (-1+x^3)} \, dx\) [657]
  3.7.58 \(\int \genfrac {}{}{}{}{\sqrt {x+x^4} (-b+a x^6)}{x^6} \, dx\) [658]
  3.7.59 \(\int \genfrac {}{}{}{}{-7 b x+5 a x^3}{\sqrt [4]{-b x+a x^3} (b-a x^2+x^7)} \, dx\) [659]
  3.7.60 \(\int \genfrac {}{}{}{}{x+3 x^5}{\sqrt {-x+x^5} (1-a x^2-2 x^4+x^8)} \, dx\) [660]
  3.7.61 \(\int \genfrac {}{}{}{}{x+3 x^5}{\sqrt {-x+x^5} (a-x^2-2 a x^4+a x^8)} \, dx\) [661]
  3.7.62 \(\int \genfrac {}{}{}{}{x+4 x^6}{\sqrt {-x+x^6} (1-a x^2-2 x^5+x^{10})} \, dx\) [662]
  3.7.63 \(\int \genfrac {}{}{}{}{x+4 x^6}{\sqrt {-x+x^6} (a-x^2-2 a x^5+a x^{10})} \, dx\) [663]
  3.7.64 \(\int \genfrac {}{}{}{}{1}{(-5+2 x)^2 \sqrt [4]{4-4 x+x^2}} \, dx\) [664]
  3.7.65 \(\int \genfrac {}{}{}{}{(-2+x^3) \sqrt {1+x^3} (2-x^2+2 x^3)}{x^4 (1-3 x^2+x^3)} \, dx\) [665]
  3.7.66 \(\int \genfrac {}{}{}{}{(-b+a x^3) \sqrt {b+a x^3}}{x} \, dx\) [666]
  3.7.67 \(\int \genfrac {}{}{}{}{x^2}{(-1+x^4) \sqrt {1+x^4}} \, dx\) [667]
  3.7.68 \(\int \genfrac {}{}{}{}{\sqrt {1+x^4}}{-1+x^4} \, dx\) [668]
  3.7.69 \(\int (b+a x^3) \sqrt {x+x^4} \, dx\) [669]
  3.7.70 \(\int \sqrt [4]{x^2+x^4} \, dx\) [670]
  3.7.71 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {1+x^4}}{(1+3 x^2+x^4)^2} \, dx\) [671]
  3.7.72 \(\int \genfrac {}{}{}{}{1}{x^8 \sqrt [4]{x^3+x^4}} \, dx\) [672]
  3.7.73 \(\int \genfrac {}{}{}{}{1+4 x}{\sqrt {1-2 x+3 x^2+2 x^3+x^4}} \, dx\) [673]
  3.7.74 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-1+x^4} (1+3 x^4)} \, dx\) [674]
  3.7.75 \(\int \genfrac {}{}{}{}{-3 b+a x^4}{(b-x^3+a x^4) \sqrt [4]{b x+a x^5}} \, dx\) [675]
  3.7.76 \(\int x^{20} \sqrt {-1+x^6} \, dx\) [676]
  3.7.77 \(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt {-1+x^6}}{x^4 (1+x^3)} \, dx\) [677]
  3.7.78 \(\int \genfrac {}{}{}{}{1+x^6}{\sqrt {1-x^2+x^4} (1-x^6)} \, dx\) [678]
  3.7.79 \(\int \genfrac {}{}{}{}{(-2+x^6) \sqrt {-1+x^6}}{x^7 (2+x^6)} \, dx\) [679]
  3.7.80 \(\int \genfrac {}{}{}{}{x (-6 b+5 a x)}{\sqrt [4]{-b x^2+a x^3} (b-a x+x^6)} \, dx\) [680]
  3.7.81 \(\int \genfrac {}{}{}{}{\sqrt {1+x^3} (2+2 x^3+x^6)}{x (-1+x^6)} \, dx\) [681]
  3.7.82 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt {1+x^4}}{1+x^8} \, dx\) [682]
  3.7.83 \(\int \genfrac {}{}{}{}{-1+x^8}{\sqrt {1+x^4} (1+x^8)} \, dx\) [683]
  3.7.84 \(\int \genfrac {}{}{}{}{\sqrt {-2+x^4} (2+x^4)}{4-6 x^4+x^8} \, dx\) [684]
  3.7.85 \(\int \genfrac {}{}{}{}{-2 b+a x^4}{\sqrt [4]{-b+a x^4} (-b+a x^4+2 x^8)} \, dx\) [685]
  3.7.86 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {x+\sqrt {1+x^2}}} \, dx\) [686]
  3.7.87 \(\int \genfrac {}{}{}{}{-1+\sqrt {k} x}{(1+\sqrt {k} x) \sqrt {(1-x^2) (1-k^2 x^2)}} \, dx\) [687]
  3.7.88 \(\int \genfrac {}{}{}{}{1+\sqrt {k} x}{(-1+\sqrt {k} x) \sqrt {(1-x^2) (1-k^2 x^2)}} \, dx\) [688]
  3.7.89 \(\int \genfrac {}{}{}{}{2+x}{(-1+x) \sqrt {-1+3 x-a x^2+x^3}} \, dx\) [689]
  3.7.90 \(\int \genfrac {}{}{}{}{-2+x}{(1+x) \sqrt {1+3 x-a x^2+x^3}} \, dx\) [690]
  3.7.91 \(\int \genfrac {}{}{}{}{(-1+x^4) \sqrt [4]{1+x^4}}{x^2} \, dx\) [691]
  3.7.92 \(\int \genfrac {}{}{}{}{2 b+a x^2}{\sqrt [4]{b+a x^2} (-2 b-2 a x^2+x^4)} \, dx\) [692]
  3.7.93 \(\int \genfrac {}{}{}{}{\sqrt [4]{-x^3+x^4}}{x} \, dx\) [693]
  3.7.94 \(\int \genfrac {}{}{}{}{(-1+x^3) \sqrt {-1+x^6}}{x^{13}} \, dx\) [694]
  3.7.95 \(\int \genfrac {}{}{}{}{(2+x^3) \sqrt [3]{x-x^4}}{1+x^2-2 x^3-x^4-x^5+x^6} \, dx\) [695]
  3.7.96 \(\int \genfrac {}{}{}{}{(2+x^3) \sqrt [3]{x-x^4}}{1+x^2-2 x^3-x^4-x^5+x^6} \, dx\) [696]
  3.7.97 \(\int \genfrac {}{}{}{}{1}{\sqrt [8]{1+2 x^4+x^8}} \, dx\) [697]
  3.7.98 \(\int \genfrac {}{}{}{}{1}{x \sqrt {x+\sqrt {1+x^2}}} \, dx\) [698]
  3.7.99 \(\int \genfrac {}{}{}{}{1-2 x+k^2 x^2}{\sqrt {(1-x) x (1-k^2 x)} (-1+2 x+(-2+k^2) x^2)} \, dx\) [699]
  3.7.100 \(\int \genfrac {}{}{}{}{1}{x (b+a x^3)^{3/4}} \, dx\) [700]