3.11.1 \(\int \genfrac {}{}{}{}{1}{(a+b x^4) \sqrt {-c x^2+d \sqrt {a+b x^4}}} \, dx\) [1001]
  3.11.2 \(\int \genfrac {}{}{}{}{x}{\sqrt {a+b c^4+4 b c^3 d x+6 b c^2 d^2 x^2+4 b c d^3 x^3+b d^4 x^4}} \, dx\) [1002]
  3.11.3 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b c^4+4 b c^3 d x+6 b c^2 d^2 x^2+4 b c d^3 x^3+b d^4 x^4}} \, dx\) [1003]
  3.11.4 \(\int \genfrac {}{}{}{}{a-c x^4}{\sqrt {a+b x^2+c x^4} (a d+a e x^2+c d x^4)} \, dx\) [1004]
  3.11.5 \(\int \genfrac {}{}{}{}{a-c x^4}{\sqrt {a-b x^2+c x^4} (a d+a e x^2+c d x^4)} \, dx\) [1005]
  3.11.6 \(\int \genfrac {}{}{}{}{1}{\sqrt {5-2 x+x^2} (8+x^3)} \, dx\) [1006]
  3.11.7 \(\int \sqrt {\genfrac {}{}{}{}{x^2}{1+x^2}} \, dx\) [1007]
  3.11.8 \(\int \sqrt {\genfrac {}{}{}{}{x^n}{1+x^n}} \, dx\) [1008]
  3.11.9 \(\int \genfrac {}{}{}{}{e f-e f x^2}{(a d+b d x+a d x^2) \sqrt {a+b x+c x^2+b x^3+a x^4}} \, dx\) [1009]
  3.11.10 \(\int \genfrac {}{}{}{}{e f-e f x^2}{(-a d+b d x-a d x^2) \sqrt {-a+b x+c x^2+b x^3-a x^4}} \, dx\) [1010]
  3.11.11 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+b x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}}}{x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [1011]
  3.11.12 \(\int \genfrac {}{}{}{}{\sqrt {-a x^2+b x \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}}}{x \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [1012]
  3.11.13 \(\int \genfrac {}{}{}{}{\sqrt {x (a x+b \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}})}}{x \sqrt {-\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [1013]
  3.11.14 \(\int \genfrac {}{}{}{}{\sqrt {x (-a x+b \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}})}}{x \sqrt {\genfrac {}{}{}{}{a}{b^2}+\genfrac {}{}{}{}{a^2 x^2}{b^2}}} \, dx\) [1014]
  3.11.15 \(\int \genfrac {}{}{}{}{-\sqrt {-4+x}-4 \sqrt {-1+x}+\sqrt {-4+x} x+\sqrt {-1+x} x}{(1+\sqrt {-4+x}+\sqrt {-1+x}) (4-5 x+x^2)} \, dx\) [1015]
  3.11.16 \(\int \genfrac {}{}{}{}{1}{x (3+3 x+x^2) \sqrt [3]{3+3 x+3 x^2+x^3}} \, dx\) [1016]
  3.11.17 \(\int \genfrac {}{}{}{}{1-x^2}{(1-x+x^2) (1-x^3)^{2/3}} \, dx\) [1017]
  3.11.18 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {-1+x^4} (1+x^4)} \, dx\) [1018]
  3.11.19 \(\int \genfrac {}{}{}{}{a-c x^4}{(a e+c d x^2) (d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\) [1019]
  3.11.20 \(\int (x+\genfrac {}{}{}{}{1-x^2}{1+x}) \, dx\) [1020]
  3.11.21 \(\int \genfrac {}{}{}{}{1}{\genfrac {}{}{}{}{1}{x}+\sqrt {1-x^2}} \, dx\) [1021]
  3.11.22 \(\int \genfrac {}{}{}{}{x \sqrt {1-x^2}}{x-x^3+\sqrt {1-x^2}} \, dx\) [1022]
  3.11.23 \(\int (1+x+x^2+x^3)^{-n} (1-x^4)^n \, dx\) [1023]
  3.11.24 \(\int \genfrac {}{}{}{}{x}{\sqrt {-44375 b^4+576000 b^3 c x+576000 b^2 c^2 x^2+5308416 c^4 x^4}} \, dx\) [1024]
  3.11.25 \(\int \genfrac {}{}{}{}{1+4 x}{\sqrt {9+120 x+64 x^2+64 x^3+64 x^4}} \, dx\) [1025]