3.8.1 \(\int \frac {\sqrt {-a x^2+b x \sqrt {\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}}}{x \sqrt {\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}} \, dx\)
  3.8.2 \(\int \frac {\sqrt {x (a x+b \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}})}}{x \sqrt {-\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}} \, dx\)
  3.8.3 \(\int \frac {\sqrt {x (-a x+b \sqrt {\frac {a}{b^2}+\frac {a^2 x^2}{b^2}})}}{x \sqrt {\frac {a}{b^2}+\frac {a^2 x^2}{b^2}}} \, dx\)
  3.8.4 \(\int \frac {-\sqrt {-4+x}-4 \sqrt {-1+x}+\sqrt {-4+x} x+\sqrt {-1+x} x}{(1+\sqrt {-4+x}+\sqrt {-1+x}) (4-5 x+x^2)} \, dx\)
  3.8.5 \(\int \frac {1}{x (3+3 x+x^2) \sqrt [3]{3+3 x+3 x^2+x^3}} \, dx\)
  3.8.6 \(\int \frac {1-x^2}{(1-x+x^2) (1-x^3)^{2/3}} \, dx\)
  3.8.7 \(\int \frac {x^2}{\sqrt {-1+x^4} (1+x^4)} \, dx\)
  3.8.8 \(\int \frac {a-c x^4}{(a e+c d x^2) (d+e x^2) \sqrt {a+b x^2+c x^4}} \, dx\)
  3.8.9 \(\int (x+\frac {1-x^2}{1+x}) \, dx\)
  3.8.10 \(\int \frac {1}{\frac {1}{x}+\sqrt {1-x^2}} \, dx\)
  3.8.11 \(\int \frac {x \sqrt {1-x^2}}{x-x^3+\sqrt {1-x^2}} \, dx\)
  3.8.12 \(\int (1+x+x^2+x^3)^{-n} (1-x^4)^n \, dx\)
  3.8.13 \(\int \frac {x}{\sqrt {-44375 b^4+576000 b^3 c x+576000 b^2 c^2 x^2+5308416 c^4 x^4}} \, dx\)
  3.8.14 \(\int \frac {1+4 x}{\sqrt {9+120 x+64 x^2+64 x^3+64 x^4}} \, dx\)