3.8.1 \(\int \frac {1+x}{\sqrt {1-x^2}} \, dx\)
  3.8.2 \(\int \frac {1-x}{\sqrt {1-x^2}} \, dx\)
  3.8.3 \(\int (d+e x)^{5/2} \sqrt {c d^2-c e^2 x^2} \, dx\)
  3.8.4 \(\int (d+e x)^{3/2} \sqrt {c d^2-c e^2 x^2} \, dx\)
  3.8.5 \(\int \sqrt {d+e x} \sqrt {c d^2-c e^2 x^2} \, dx\)
  3.8.6 \(\int \frac {\sqrt {c d^2-c e^2 x^2}}{\sqrt {d+e x}} \, dx\)
  3.8.7 \(\int \frac {\sqrt {c d^2-c e^2 x^2}}{(d+e x)^{3/2}} \, dx\)
  3.8.8 \(\int \frac {\sqrt {c d^2-c e^2 x^2}}{(d+e x)^{5/2}} \, dx\)
  3.8.9 \(\int \frac {\sqrt {c d^2-c e^2 x^2}}{(d+e x)^{7/2}} \, dx\)
  3.8.10 \(\int (d+e x)^{5/2} (c d^2-c e^2 x^2)^{3/2} \, dx\)
  3.8.11 \(\int (d+e x)^{3/2} (c d^2-c e^2 x^2)^{3/2} \, dx\)
  3.8.12 \(\int \sqrt {d+e x} (c d^2-c e^2 x^2)^{3/2} \, dx\)
  3.8.13 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{\sqrt {d+e x}} \, dx\)
  3.8.14 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{3/2}} \, dx\)
  3.8.15 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{5/2}} \, dx\)
  3.8.16 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{7/2}} \, dx\)
  3.8.17 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{9/2}} \, dx\)
  3.8.18 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{11/2}} \, dx\)
  3.8.19 \(\int \frac {(c d^2-c e^2 x^2)^{3/2}}{(d+e x)^{13/2}} \, dx\)
  3.8.20 \(\int \frac {(d+e x)^{7/2}}{\sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.21 \(\int \frac {(d+e x)^{5/2}}{\sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.22 \(\int \frac {(d+e x)^{3/2}}{\sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.23 \(\int \frac {\sqrt {d+e x}}{\sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.24 \(\int \frac {1}{\sqrt {d+e x} \sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.25 \(\int \frac {1}{(d+e x)^{3/2} \sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.26 \(\int \frac {1}{(d+e x)^{5/2} \sqrt {c d^2-c e^2 x^2}} \, dx\)
  3.8.27 \(\int \frac {(d+e x)^{9/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.28 \(\int \frac {(d+e x)^{7/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.29 \(\int \frac {(d+e x)^{5/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.30 \(\int \frac {(d+e x)^{3/2}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.31 \(\int \frac {\sqrt {d+e x}}{(c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.32 \(\int \frac {1}{\sqrt {d+e x} (c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.33 \(\int \frac {1}{(d+e x)^{3/2} (c d^2-c e^2 x^2)^{3/2}} \, dx\)
  3.8.34 \(\int \frac {1}{\sqrt {-1+x} \sqrt {1-x^2}} \, dx\)
  3.8.35 \(\int (2+e x)^{5/2} \sqrt {12-3 e^2 x^2} \, dx\)
  3.8.36 \(\int (2+e x)^{3/2} \sqrt {12-3 e^2 x^2} \, dx\)
  3.8.37 \(\int \sqrt {2+e x} \sqrt {12-3 e^2 x^2} \, dx\)
  3.8.38 \(\int \frac {\sqrt {12-3 e^2 x^2}}{\sqrt {2+e x}} \, dx\)
  3.8.39 \(\int \frac {\sqrt {12-3 e^2 x^2}}{(2+e x)^{3/2}} \, dx\)
  3.8.40 \(\int \frac {\sqrt {12-3 e^2 x^2}}{(2+e x)^{5/2}} \, dx\)
  3.8.41 \(\int \frac {\sqrt {12-3 e^2 x^2}}{(2+e x)^{7/2}} \, dx\)
  3.8.42 \(\int (2+e x)^{5/2} (12-3 e^2 x^2)^{3/2} \, dx\)
  3.8.43 \(\int (2+e x)^{3/2} (12-3 e^2 x^2)^{3/2} \, dx\)
  3.8.44 \(\int \sqrt {2+e x} (12-3 e^2 x^2)^{3/2} \, dx\)
  3.8.45 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{\sqrt {2+e x}} \, dx\)
  3.8.46 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{(2+e x)^{3/2}} \, dx\)
  3.8.47 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{(2+e x)^{5/2}} \, dx\)
  3.8.48 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{(2+e x)^{7/2}} \, dx\)
  3.8.49 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{(2+e x)^{9/2}} \, dx\)
  3.8.50 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{(2+e x)^{11/2}} \, dx\)
  3.8.51 \(\int \frac {(12-3 e^2 x^2)^{3/2}}{(2+e x)^{13/2}} \, dx\)
  3.8.52 \(\int \frac {(2+e x)^{7/2}}{\sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.53 \(\int \frac {(2+e x)^{5/2}}{\sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.54 \(\int \frac {(2+e x)^{3/2}}{\sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.55 \(\int \frac {\sqrt {2+e x}}{\sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.56 \(\int \frac {1}{\sqrt {2+e x} \sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.57 \(\int \frac {1}{(2+e x)^{3/2} \sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.58 \(\int \frac {1}{(2+e x)^{5/2} \sqrt {12-3 e^2 x^2}} \, dx\)
  3.8.59 \(\int \frac {(2+e x)^{11/2}}{(12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.60 \(\int \frac {(2+e x)^{9/2}}{(12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.61 \(\int \frac {(2+e x)^{7/2}}{(12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.62 \(\int \frac {(2+e x)^{5/2}}{(12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.63 \(\int \frac {(2+e x)^{3/2}}{(12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.64 \(\int \frac {\sqrt {2+e x}}{(12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.65 \(\int \frac {1}{\sqrt {2+e x} (12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.66 \(\int \frac {1}{(2+e x)^{3/2} (12-3 e^2 x^2)^{3/2}} \, dx\)
  3.8.67 \(\int \frac {1}{\sqrt {1-x} (1+x)} \, dx\)
  3.8.68 \(\int \frac {1}{\sqrt {1+x} \sqrt {1-x^2}} \, dx\)
  3.8.69 \(\int \frac {1}{\sqrt {1-a x} (1+a x)} \, dx\)
  3.8.70 \(\int \frac {1}{\sqrt {1+a x} \sqrt {1-a^2 x^2}} \, dx\)
  3.8.71 \(\int \sqrt {2+e x} \sqrt [4]{12-3 e^2 x^2} \, dx\)
  3.8.72 \(\int \frac {\sqrt [4]{12-3 e^2 x^2}}{\sqrt {2+e x}} \, dx\)
  3.8.73 \(\int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{3/2}} \, dx\)
  3.8.74 \(\int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{5/2}} \, dx\)
  3.8.75 \(\int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{7/2}} \, dx\)
  3.8.76 \(\int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{9/2}} \, dx\)
  3.8.77 \(\int \frac {\sqrt [4]{12-3 e^2 x^2}}{(2+e x)^{11/2}} \, dx\)
  3.8.78 \(\int \frac {(2+e x)^{5/2}}{\sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.79 \(\int \frac {(2+e x)^{3/2}}{\sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.80 \(\int \frac {\sqrt {2+e x}}{\sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.81 \(\int \frac {1}{\sqrt {2+e x} \sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.82 \(\int \frac {1}{(2+e x)^{3/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.83 \(\int \frac {1}{(2+e x)^{5/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.84 \(\int \frac {1}{(2+e x)^{7/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.85 \(\int \frac {1}{(2+e x)^{9/2} \sqrt [4]{12-3 e^2 x^2}} \, dx\)
  3.8.86 \(\int (a+b x)^m (a^2-b^2 x^2)^3 \, dx\)
  3.8.87 \(\int (a+b x)^m (a^2-b^2 x^2)^2 \, dx\)
  3.8.88 \(\int (a+b x)^m (a^2-b^2 x^2) \, dx\)
  3.8.89 \(\int (-a (a^2-b^2 x^2)^p+(a+b x) (a^2-b^2 x^2)^p) \, dx\)
  3.8.90 \(\int (d+e x)^2 (c d^2+2 c d e x+c e^2 x^2) \, dx\)
  3.8.91 \(\int (d+e x) (c d^2+2 c d e x+c e^2 x^2) \, dx\)
  3.8.92 \(\int (c d^2+2 c d e x+c e^2 x^2) \, dx\)
  3.8.93 \(\int \frac {c d^2+2 c d e x+c e^2 x^2}{d+e x} \, dx\)
  3.8.94 \(\int \frac {c d^2+2 c d e x+c e^2 x^2}{(d+e x)^2} \, dx\)
  3.8.95 \(\int \frac {c d^2+2 c d e x+c e^2 x^2}{(d+e x)^3} \, dx\)
  3.8.96 \(\int \frac {c d^2+2 c d e x+c e^2 x^2}{(d+e x)^4} \, dx\)
  3.8.97 \(\int \frac {c d^2+2 c d e x+c e^2 x^2}{(d+e x)^5} \, dx\)
  3.8.98 \(\int \frac {c d^2+2 c d e x+c e^2 x^2}{(d+e x)^6} \, dx\)
  3.8.99 \(\int (d+e x)^2 (c d^2+2 c d e x+c e^2 x^2)^2 \, dx\)
  3.8.100 \(\int (d+e x) (c d^2+2 c d e x+c e^2 x^2)^2 \, dx\)