3.2 Integrals 101 to 143

  3.2.1 \(\int \frac {x^3 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.2 \(\int \frac {x (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.3 \(\int \frac {4+x^2+3 x^4+5 x^6}{x (3+2 x^2+x^4)^2} \, dx\)
  3.2.4 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^3 (3+2 x^2+x^4)^2} \, dx\)
  3.2.5 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^5 (3+2 x^2+x^4)^2} \, dx\)
  3.2.6 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^7 (3+2 x^2+x^4)^2} \, dx\)
  3.2.7 \(\int \frac {x^8 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.8 \(\int \frac {x^6 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.9 \(\int \frac {x^4 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.10 \(\int \frac {x^2 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.11 \(\int \frac {4+x^2+3 x^4+5 x^6}{(3+2 x^2+x^4)^2} \, dx\)
  3.2.12 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^2 (3+2 x^2+x^4)^2} \, dx\)
  3.2.13 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^4 (3+2 x^2+x^4)^2} \, dx\)
  3.2.14 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^6 (3+2 x^2+x^4)^2} \, dx\)
  3.2.15 \(\int \frac {x^{10} (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
  3.2.16 \(\int \frac {x^8 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
  3.2.17 \(\int \frac {x^6 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
  3.2.18 \(\int \frac {x^4 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
  3.2.19 \(\int \frac {x^2 (4+x^2+3 x^4+5 x^6)}{(3+2 x^2+x^4)^3} \, dx\)
  3.2.20 \(\int \frac {4+x^2+3 x^4+5 x^6}{(3+2 x^2+x^4)^3} \, dx\)
  3.2.21 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^2 (3+2 x^2+x^4)^3} \, dx\)
  3.2.22 \(\int \frac {4+x^2+3 x^4+5 x^6}{x^4 (3+2 x^2+x^4)^3} \, dx\)
  3.2.23 \(\int \frac {x (d+e x^2+f x^4+g x^6)}{a+b x^2+c x^4} \, dx\)
  3.2.24 \(\int \frac {x^4 (d+e x^2+f x^4+g x^6)}{(a+b x^2+c x^4)^2} \, dx\)
  3.2.25 \(\int \frac {x^2 (d+e x^2+f x^4+g x^6)}{(a+b x^2+c x^4)^2} \, dx\)
  3.2.26 \(\int \frac {d+e x^2+f x^4+g x^6}{(a+b x^2+c x^4)^2} \, dx\)
  3.2.27 \(\int \frac {d+e x^2+f x^4+g x^6}{x^2 (a+b x^2+c x^4)^2} \, dx\)
  3.2.28 \(\int \frac {d+e x^2+f x^4+g x^6}{x^4 (a+b x^2+c x^4)^2} \, dx\)
  3.2.29 \(\int x^2 (a+b x^2+c x^4)^p (3 a+b (5+2 p) x^2+c (7+4 p) x^4) \, dx\)
  3.2.30 \(\int \frac {x^5 (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.31 \(\int \frac {x^3 (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.32 \(\int \frac {x (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.33 \(\int \frac {a+b x^2+c x^4}{x \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.34 \(\int \frac {a+b x^2+c x^4}{x^3 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.35 \(\int \frac {a+b x^2+c x^4}{x^5 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.36 \(\int \frac {a+b x^2+c x^4}{x^7 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.37 \(\int \frac {x^2 (a+b x^2+c x^4)}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.38 \(\int \frac {a+b x^2+c x^4}{\sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.39 \(\int \frac {a+b x^2+c x^4}{x^2 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.40 \(\int \frac {a+b x^2+c x^4}{x^4 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.41 \(\int \frac {a+b x^2+c x^4}{x^6 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.42 \(\int \frac {a+b x^2+c x^4}{x^8 \sqrt {d-e x} \sqrt {d+e x}} \, dx\)
  3.2.43 \(\int \frac {a+b x^2+c x^4}{x^{10} \sqrt {d-e x} \sqrt {d+e x}} \, dx\)