3.22 Integrals 2101 to 2119

  3.22.1 \(\int \frac {1}{x \sqrt {2+5 x+3 x^2}} \, dx\)
  3.22.2 \(\int \frac {1}{x \sqrt {2+5 x-3 x^2}} \, dx\)
  3.22.3 \(\int \frac {1}{x \sqrt {-2+4 x+3 x^2}} \, dx\)
  3.22.4 \(\int \frac {1}{x \sqrt {-2+4 x-3 x^2}} \, dx\)
  3.22.5 \(\int \frac {1}{x \sqrt {-2+5 x+3 x^2}} \, dx\)
  3.22.6 \(\int \frac {1}{x \sqrt {-2+5 x-3 x^2}} \, dx\)
  3.22.7 \(\int \frac {1}{x^3 \sqrt {1+x+x^2}} \, dx\)
  3.22.8 \(\int (\frac {1}{x}-\frac {1}{x \sqrt {1+b x+c x^2}}) \, dx\)
  3.22.9 \(\int \frac {1}{(d+e x) \sqrt [3]{c^2 d^2-b c d e+b^2 e^2+3 b c e^2 x+3 c^2 e^2 x^2}} \, dx\)
  3.22.10 \(\int \frac {1}{(2+3 x) \sqrt [3]{52-54 x+27 x^2}} \, dx\)
  3.22.11 \(\int \frac {1}{(2+3 x) \sqrt [3]{28+54 x+27 x^2}} \, dx\)
  3.22.12 \(\int \frac {1}{(d+e x) \sqrt [3]{-c^2 d^2+b c d e+2 b^2 e^2+9 b c e^2 x+9 c^2 e^2 x^2}} \, dx\)
  3.22.13 \(\int (d+e x)^m (a+b x+c x^2)^4 \, dx\)
  3.22.14 \(\int (d+e x)^m (a+b x+c x^2)^3 \, dx\)
  3.22.15 \(\int (d+e x)^m (a+b x+c x^2)^2 \, dx\)
  3.22.16 \(\int (d+e x)^m (a+b x+c x^2) \, dx\)
  3.22.17 \(\int \frac {1}{\sqrt [3]{1+x} \sqrt [3]{1-x+x^2}} \, dx\)
  3.22.18 \(\int \frac {1}{\sqrt [3]{1-x} \sqrt [3]{1+x+x^2}} \, dx\)
  3.22.19 \(\int \frac {1}{\sqrt [3]{b e-c e x} \sqrt [3]{b^2+b c x+c^2 x^2}} \, dx\)