3.3 Integrals 201 to 212

  3.3.1 \(\int \sqrt {d+e x^2} (a+b x^2+c x^4) \, dx\)
  3.3.2 \(\int \frac {a+b x^2+c x^4}{\sqrt {d+e x^2}} \, dx\)
  3.3.3 \(\int \frac {a+b x^2+c x^4}{(d+e x^2)^{3/2}} \, dx\)
  3.3.4 \(\int \frac {a+b x^2+c x^4}{(d+e x^2)^{5/2}} \, dx\)
  3.3.5 \(\int \frac {a+b x^2+c x^4}{(d+e x^2)^{7/2}} \, dx\)
  3.3.6 \(\int \frac {a+b x^2+c x^4}{(d+e x^2)^{9/2}} \, dx\)
  3.3.7 \(\int \frac {a+b x^2+c x^4}{(d+e x^2)^{11/2}} \, dx\)
  3.3.8 \(\int \frac {a+b x^2+c x^4}{(d+e x^2)^{13/2}} \, dx\)
  3.3.9 \(\int \frac {1-\sqrt {3}+x}{(1+\sqrt {3}+x) \sqrt {-4+4 \sqrt {3} x^2+x^4}} \, dx\)
  3.3.10 \(\int \frac {1+\sqrt {3}+x}{(1-\sqrt {3}+x) \sqrt {-4-4 \sqrt {3} x^2+x^4}} \, dx\)
  3.3.11 \(\int \frac {1-\sqrt {3}+2 x}{(1+\sqrt {3}+2 x) \sqrt {-1+4 \sqrt {3} x^2+4 x^4}} \, dx\)
  3.3.12 \(\int \frac {1+\sqrt {3}+2 x}{(1-\sqrt {3}+2 x) \sqrt {-1-4 \sqrt {3} x^2+4 x^4}} \, dx\)