3.5 Integrals 401 to 500

  3.5.1 \(\int \frac {(a+c x^2)^3}{(d+e x)^4} \, dx\)
  3.5.2 \(\int \frac {(a+c x^2)^3}{(d+e x)^5} \, dx\)
  3.5.3 \(\int \frac {(a+c x^2)^3}{(d+e x)^6} \, dx\)
  3.5.4 \(\int \frac {(a+c x^2)^3}{(d+e x)^7} \, dx\)
  3.5.5 \(\int \frac {(a+c x^2)^3}{(d+e x)^8} \, dx\)
  3.5.6 \(\int \frac {(a+c x^2)^3}{(d+e x)^9} \, dx\)
  3.5.7 \(\int \frac {(a+c x^2)^3}{(d+e x)^{10}} \, dx\)
  3.5.8 \(\int (d+e x)^7 (a+c x^2)^4 \, dx\)
  3.5.9 \(\int (d+e x)^6 (a+c x^2)^4 \, dx\)
  3.5.10 \(\int (d+e x)^5 (a+c x^2)^4 \, dx\)
  3.5.11 \(\int (d+e x)^4 (a+c x^2)^4 \, dx\)
  3.5.12 \(\int (d+e x)^3 (a+c x^2)^4 \, dx\)
  3.5.13 \(\int (d+e x)^2 (a+c x^2)^4 \, dx\)
  3.5.14 \(\int (d+e x) (a+c x^2)^4 \, dx\)
  3.5.15 \(\int \frac {(a+c x^2)^4}{d+e x} \, dx\)
  3.5.16 \(\int \frac {(a+c x^2)^4}{(d+e x)^2} \, dx\)
  3.5.17 \(\int (c+d x) (a+b x^2)^4 \, dx\)
  3.5.18 \(\int \frac {(d+e x)^4}{a+c x^2} \, dx\)
  3.5.19 \(\int \frac {(d+e x)^3}{a+c x^2} \, dx\)
  3.5.20 \(\int \frac {(d+e x)^2}{a+c x^2} \, dx\)
  3.5.21 \(\int \frac {d+e x}{a+c x^2} \, dx\)
  3.5.22 \(\int \frac {1}{(d+e x) (a+c x^2)} \, dx\)
  3.5.23 \(\int \frac {1}{(d+e x)^2 (a+c x^2)} \, dx\)
  3.5.24 \(\int \frac {1}{(d+e x)^3 (a+c x^2)} \, dx\)
  3.5.25 \(\int \frac {(d+e x)^5}{(a+c x^2)^2} \, dx\)
  3.5.26 \(\int \frac {(d+e x)^4}{(a+c x^2)^2} \, dx\)
  3.5.27 \(\int \frac {(d+e x)^3}{(a+c x^2)^2} \, dx\)
  3.5.28 \(\int \frac {(d+e x)^2}{(a+c x^2)^2} \, dx\)
  3.5.29 \(\int \frac {d+e x}{(a+c x^2)^2} \, dx\)
  3.5.30 \(\int \frac {1}{(d+e x) (a+c x^2)^2} \, dx\)
  3.5.31 \(\int \frac {1}{(d+e x)^2 (a+c x^2)^2} \, dx\)
  3.5.32 \(\int \frac {(d+e x)^5}{(a+c x^2)^3} \, dx\)
  3.5.33 \(\int \frac {(d+e x)^4}{(a+c x^2)^3} \, dx\)
  3.5.34 \(\int \frac {(d+e x)^3}{(a+c x^2)^3} \, dx\)
  3.5.35 \(\int \frac {(d+e x)^2}{(a+c x^2)^3} \, dx\)
  3.5.36 \(\int \frac {d+e x}{(a+c x^2)^3} \, dx\)
  3.5.37 \(\int \frac {1}{(d+e x) (a+c x^2)^3} \, dx\)
  3.5.38 \(\int \frac {1}{(d+e x)^2 (a+c x^2)^3} \, dx\)
  3.5.39 \(\int \frac {(d+e x)^4}{(a+c x^2)^4} \, dx\)
  3.5.40 \(\int \frac {(d+e x)^3}{(a+c x^2)^4} \, dx\)
  3.5.41 \(\int \frac {(d+e x)^2}{(a+c x^2)^4} \, dx\)
  3.5.42 \(\int \frac {d+e x}{(a+c x^2)^4} \, dx\)
  3.5.43 \(\int \frac {1}{(d+e x) (a+c x^2)^4} \, dx\)
  3.5.44 \(\int \frac {1}{(d+e x)^2 (a+c x^2)^4} \, dx\)
  3.5.45 \(\int (d+e x)^4 \sqrt {a+c x^2} \, dx\)
  3.5.46 \(\int (d+e x)^3 \sqrt {a+c x^2} \, dx\)
  3.5.47 \(\int (d+e x)^2 \sqrt {a+c x^2} \, dx\)
  3.5.48 \(\int (d+e x) \sqrt {a+c x^2} \, dx\)
  3.5.49 \(\int \frac {\sqrt {a+c x^2}}{d+e x} \, dx\)
  3.5.50 \(\int \frac {\sqrt {a+c x^2}}{(d+e x)^2} \, dx\)
  3.5.51 \(\int \frac {\sqrt {a+c x^2}}{(d+e x)^3} \, dx\)
  3.5.52 \(\int \frac {\sqrt {a+c x^2}}{(d+e x)^4} \, dx\)
  3.5.53 \(\int \frac {\sqrt {a+c x^2}}{(d+e x)^5} \, dx\)
  3.5.54 \(\int (d+e x)^4 (a+c x^2)^{3/2} \, dx\)
  3.5.55 \(\int (d+e x)^3 (a+c x^2)^{3/2} \, dx\)
  3.5.56 \(\int (d+e x)^2 (a+c x^2)^{3/2} \, dx\)
  3.5.57 \(\int (d+e x) (a+c x^2)^{3/2} \, dx\)
  3.5.58 \(\int \frac {(a+c x^2)^{3/2}}{d+e x} \, dx\)
  3.5.59 \(\int \frac {(a+c x^2)^{3/2}}{(d+e x)^2} \, dx\)
  3.5.60 \(\int \frac {(a+c x^2)^{3/2}}{(d+e x)^3} \, dx\)
  3.5.61 \(\int \frac {(a+c x^2)^{3/2}}{(d+e x)^4} \, dx\)
  3.5.62 \(\int \frac {(a+c x^2)^{3/2}}{(d+e x)^5} \, dx\)
  3.5.63 \(\int \frac {(a+c x^2)^{3/2}}{(d+e x)^6} \, dx\)
  3.5.64 \(\int \frac {(a+c x^2)^{3/2}}{(d+e x)^7} \, dx\)
  3.5.65 \(\int (d+e x)^4 (a+c x^2)^{5/2} \, dx\)
  3.5.66 \(\int (d+e x)^3 (a+c x^2)^{5/2} \, dx\)
  3.5.67 \(\int (d+e x)^2 (a+c x^2)^{5/2} \, dx\)
  3.5.68 \(\int (d+e x) (a+c x^2)^{5/2} \, dx\)
  3.5.69 \(\int \frac {(a+c x^2)^{5/2}}{d+e x} \, dx\)
  3.5.70 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^2} \, dx\)
  3.5.71 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^3} \, dx\)
  3.5.72 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^4} \, dx\)
  3.5.73 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^5} \, dx\)
  3.5.74 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^6} \, dx\)
  3.5.75 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^7} \, dx\)
  3.5.76 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^8} \, dx\)
  3.5.77 \(\int \frac {(a+c x^2)^{5/2}}{(d+e x)^9} \, dx\)
  3.5.78 \(\int \frac {\sqrt {2+x^2}}{1+4 x} \, dx\)
  3.5.79 \(\int \frac {\sqrt {2+4 x^2}}{5+4 x} \, dx\)
  3.5.80 \(\int (2+3 x) \sqrt {-5+7 x^2} \, dx\)
  3.5.81 \(\int \frac {(d+e x)^4}{\sqrt {a+c x^2}} \, dx\)
  3.5.82 \(\int \frac {(d+e x)^3}{\sqrt {a+c x^2}} \, dx\)
  3.5.83 \(\int \frac {(d+e x)^2}{\sqrt {a+c x^2}} \, dx\)
  3.5.84 \(\int \frac {d+e x}{\sqrt {a+c x^2}} \, dx\)
  3.5.85 \(\int \frac {1}{(d+e x) \sqrt {a+c x^2}} \, dx\)
  3.5.86 \(\int \frac {1}{(d+e x)^2 \sqrt {a+c x^2}} \, dx\)
  3.5.87 \(\int \frac {1}{(d+e x)^3 \sqrt {a+c x^2}} \, dx\)
  3.5.88 \(\int \frac {1}{(d+e x)^4 \sqrt {a+c x^2}} \, dx\)
  3.5.89 \(\int \frac {(d+e x)^4}{(a+c x^2)^{3/2}} \, dx\)
  3.5.90 \(\int \frac {(d+e x)^3}{(a+c x^2)^{3/2}} \, dx\)
  3.5.91 \(\int \frac {(d+e x)^2}{(a+c x^2)^{3/2}} \, dx\)
  3.5.92 \(\int \frac {d+e x}{(a+c x^2)^{3/2}} \, dx\)
  3.5.93 \(\int \frac {1}{(d+e x) (a+c x^2)^{3/2}} \, dx\)
  3.5.94 \(\int \frac {1}{(d+e x)^2 (a+c x^2)^{3/2}} \, dx\)
  3.5.95 \(\int \frac {1}{(d+e x)^3 (a+c x^2)^{3/2}} \, dx\)
  3.5.96 \(\int \frac {1}{(d+e x)^4 (a+c x^2)^{3/2}} \, dx\)
  3.5.97 \(\int \frac {(d+e x)^5}{(a+c x^2)^{5/2}} \, dx\)
  3.5.98 \(\int \frac {(d+e x)^4}{(a+c x^2)^{5/2}} \, dx\)
  3.5.99 \(\int \frac {(d+e x)^3}{(a+c x^2)^{5/2}} \, dx\)
  3.5.100 \(\int \frac {(d+e x)^2}{(a+c x^2)^{5/2}} \, dx\)