3.6.1 \(\int \frac {d+e x}{(a+c x^2)^{5/2}} \, dx\)
  3.6.2 \(\int \frac {1}{(d+e x) (a+c x^2)^{5/2}} \, dx\)
  3.6.3 \(\int \frac {1}{(d+e x)^2 (a+c x^2)^{5/2}} \, dx\)
  3.6.4 \(\int \frac {1}{(d+e x)^3 (a+c x^2)^{5/2}} \, dx\)
  3.6.5 \(\int \frac {3+x}{\sqrt {1-x^2}} \, dx\)
  3.6.6 \(\int \frac {1+x}{\sqrt {4-x^2}} \, dx\)
  3.6.7 \(\int \frac {2+x}{\sqrt {9+x^2}} \, dx\)
  3.6.8 \(\int \frac {(a+b x)^2}{\sqrt {1-x^2}} \, dx\)
  3.6.9 \(\int \frac {(a+b x)^2}{\sqrt {1+x^2}} \, dx\)
  3.6.10 \(\int \frac {2+3 x}{(4+x^2)^{3/2}} \, dx\)
  3.6.11 \(\int (d+e x)^{5/2} (a+c x^2) \, dx\)
  3.6.12 \(\int (d+e x)^{3/2} (a+c x^2) \, dx\)
  3.6.13 \(\int \sqrt {d+e x} (a+c x^2) \, dx\)
  3.6.14 \(\int \frac {a+c x^2}{\sqrt {d+e x}} \, dx\)
  3.6.15 \(\int \frac {a+c x^2}{(d+e x)^{3/2}} \, dx\)
  3.6.16 \(\int \frac {a+c x^2}{(d+e x)^{5/2}} \, dx\)
  3.6.17 \(\int \frac {a+c x^2}{(d+e x)^{7/2}} \, dx\)
  3.6.18 \(\int (d+e x)^{5/2} (a+c x^2)^2 \, dx\)
  3.6.19 \(\int (d+e x)^{3/2} (a+c x^2)^2 \, dx\)
  3.6.20 \(\int \sqrt {d+e x} (a+c x^2)^2 \, dx\)
  3.6.21 \(\int \frac {(a+c x^2)^2}{\sqrt {d+e x}} \, dx\)
  3.6.22 \(\int \frac {(a+c x^2)^2}{(d+e x)^{3/2}} \, dx\)
  3.6.23 \(\int \frac {(a+c x^2)^2}{(d+e x)^{5/2}} \, dx\)
  3.6.24 \(\int \frac {(a+c x^2)^2}{(d+e x)^{7/2}} \, dx\)
  3.6.25 \(\int (d+e x)^{5/2} (a+c x^2)^3 \, dx\)
  3.6.26 \(\int (d+e x)^{3/2} (a+c x^2)^3 \, dx\)
  3.6.27 \(\int \sqrt {d+e x} (a+c x^2)^3 \, dx\)
  3.6.28 \(\int \frac {(a+c x^2)^3}{\sqrt {d+e x}} \, dx\)
  3.6.29 \(\int \frac {(a+c x^2)^3}{(d+e x)^{3/2}} \, dx\)
  3.6.30 \(\int \frac {(a+c x^2)^3}{(d+e x)^{5/2}} \, dx\)
  3.6.31 \(\int \frac {(a+c x^2)^3}{(d+e x)^{7/2}} \, dx\)
  3.6.32 \(\int \frac {(d+e x)^{5/2}}{a-c x^2} \, dx\)
  3.6.33 \(\int \frac {(d+e x)^{3/2}}{a-c x^2} \, dx\)
  3.6.34 \(\int \frac {\sqrt {d+e x}}{a-c x^2} \, dx\)
  3.6.35 \(\int \frac {1}{\sqrt {d+e x} (a-c x^2)} \, dx\)
  3.6.36 \(\int \frac {1}{(d+e x)^{3/2} (a-c x^2)} \, dx\)
  3.6.37 \(\int \frac {1}{(d+e x)^{5/2} (a-c x^2)} \, dx\)
  3.6.38 \(\int \frac {(d+e x)^{5/2}}{a+c x^2} \, dx\)
  3.6.39 \(\int \frac {(d+e x)^{3/2}}{a+c x^2} \, dx\)
  3.6.40 \(\int \frac {\sqrt {d+e x}}{a+c x^2} \, dx\)
  3.6.41 \(\int \frac {1}{\sqrt {d+e x} (a+c x^2)} \, dx\)
  3.6.42 \(\int \frac {1}{(d+e x)^{3/2} (a+c x^2)} \, dx\)
  3.6.43 \(\int \frac {1}{(d+e x)^{5/2} (a+c x^2)} \, dx\)
  3.6.44 \(\int \frac {(d+e x)^{7/2}}{(a-c x^2)^2} \, dx\)
  3.6.45 \(\int \frac {(d+e x)^{5/2}}{(a-c x^2)^2} \, dx\)
  3.6.46 \(\int \frac {(d+e x)^{3/2}}{(a-c x^2)^2} \, dx\)
  3.6.47 \(\int \frac {\sqrt {d+e x}}{(a-c x^2)^2} \, dx\)
  3.6.48 \(\int \frac {1}{\sqrt {d+e x} (a-c x^2)^2} \, dx\)
  3.6.49 \(\int \frac {1}{(d+e x)^{3/2} (a-c x^2)^2} \, dx\)
  3.6.50 \(\int \frac {1}{(d+e x)^{5/2} (a-c x^2)^2} \, dx\)
  3.6.51 \(\int \frac {(d+e x)^{7/2}}{(a+c x^2)^2} \, dx\)
  3.6.52 \(\int \frac {(d+e x)^{5/2}}{(a+c x^2)^2} \, dx\)
  3.6.53 \(\int \frac {(d+e x)^{3/2}}{(a+c x^2)^2} \, dx\)
  3.6.54 \(\int \frac {\sqrt {d+e x}}{(a+c x^2)^2} \, dx\)
  3.6.55 \(\int \frac {1}{\sqrt {d+e x} (a+c x^2)^2} \, dx\)
  3.6.56 \(\int \frac {1}{(d+e x)^{3/2} (a+c x^2)^2} \, dx\)
  3.6.57 \(\int \frac {1}{(d+e x)^{5/2} (a+c x^2)^2} \, dx\)
  3.6.58 \(\int \frac {(d+e x)^{7/2}}{(a-c x^2)^3} \, dx\)
  3.6.59 \(\int \frac {(d+e x)^{5/2}}{(a-c x^2)^3} \, dx\)
  3.6.60 \(\int \frac {(d+e x)^{3/2}}{(a-c x^2)^3} \, dx\)
  3.6.61 \(\int \frac {\sqrt {d+e x}}{(a-c x^2)^3} \, dx\)
  3.6.62 \(\int \frac {1}{\sqrt {d+e x} (a-c x^2)^3} \, dx\)
  3.6.63 \(\int \frac {(d+e x)^{7/2}}{(a+c x^2)^3} \, dx\)
  3.6.64 \(\int \frac {(d+e x)^{5/2}}{(a+c x^2)^3} \, dx\)
  3.6.65 \(\int \frac {(d+e x)^{3/2}}{(a+c x^2)^3} \, dx\)
  3.6.66 \(\int \frac {\sqrt {d+e x}}{(a+c x^2)^3} \, dx\)
  3.6.67 \(\int \frac {1}{\sqrt {d+e x} (a+c x^2)^3} \, dx\)
  3.6.68 \(\int \frac {\sqrt {2+3 x}}{1+x^2} \, dx\)
  3.6.69 \(\int \frac {\sqrt {c+d x}}{1+x^2} \, dx\)
  3.6.70 \(\int \frac {\sqrt {2+3 x}}{1-x^2} \, dx\)
  3.6.71 \(\int \frac {\sqrt {c+d x}}{1-x^2} \, dx\)
  3.6.72 \(\int \frac {\sqrt {2+3 x}}{a+b x^2} \, dx\)
  3.6.73 \(\int \frac {\sqrt {2+3 x}}{a-b x^2} \, dx\)
  3.6.74 \(\int \frac {\sqrt {1+x}}{1+x^2} \, dx\)
  3.6.75 \(\int \frac {1}{\sqrt {1+x} (1+x^2)} \, dx\)
  3.6.76 \(\int \frac {\sqrt {-1+x}}{(1+x^2)^3} \, dx\)
  3.6.77 \(\int \frac {1}{(d+e x) \sqrt [3]{d^2+3 e^2 x^2}} \, dx\)
  3.6.78 \(\int \frac {1}{(2+3 x) \sqrt [3]{4+27 x^2}} \, dx\)
  3.6.79 \(\int \frac {1}{(2+3 i x) \sqrt [3]{4-27 x^2}} \, dx\)
  3.6.80 \(\int \frac {1}{(\sqrt {3}+x) \sqrt [3]{1+x^2}} \, dx\)
  3.6.81 \(\int \frac {1}{(\sqrt {3}-x) \sqrt [3]{1+x^2}} \, dx\)
  3.6.82 \(\int \frac {1}{(3-x) \sqrt [3]{1-x^2}} \, dx\)
  3.6.83 \(\int \frac {1}{(3+x) \sqrt [3]{1-x^2}} \, dx\)
  3.6.84 \(\int \frac {1}{(d+e x) \sqrt [3]{d^2-9 e^2 x^2}} \, dx\)
  3.6.85 \(\int (d+e x)^m (a+c x^2)^3 \, dx\)
  3.6.86 \(\int (d+e x)^m (a+c x^2)^2 \, dx\)
  3.6.87 \(\int (d+e x)^m (a+c x^2) \, dx\)
  3.6.88 \(\int \frac {(a+b x)^6}{a^2-b^2 x^2} \, dx\)
  3.6.89 \(\int \frac {(a+b x)^5}{a^2-b^2 x^2} \, dx\)
  3.6.90 \(\int \frac {(a+b x)^4}{a^2-b^2 x^2} \, dx\)
  3.6.91 \(\int \frac {(a+b x)^3}{a^2-b^2 x^2} \, dx\)
  3.6.92 \(\int \frac {(a+b x)^2}{a^2-b^2 x^2} \, dx\)
  3.6.93 \(\int \frac {a+b x}{a^2-b^2 x^2} \, dx\)
  3.6.94 \(\int \frac {1}{(a+b x) (a^2-b^2 x^2)} \, dx\)
  3.6.95 \(\int \frac {1}{(a+b x)^2 (a^2-b^2 x^2)} \, dx\)
  3.6.96 \(\int \frac {1}{(a+b x)^3 (a^2-b^2 x^2)} \, dx\)
  3.6.97 \(\int \frac {1}{(a+b x)^4 (a^2-b^2 x^2)} \, dx\)
  3.6.98 \(\int \frac {(a+b x)^7}{(a^2-b^2 x^2)^2} \, dx\)
  3.6.99 \(\int \frac {(a+b x)^6}{(a^2-b^2 x^2)^2} \, dx\)
  3.6.100 \(\int \frac {(a+b x)^5}{(a^2-b^2 x^2)^2} \, dx\)