3.11 Integrals 1001 to 1100

  3.11.1 \(\int \frac {\sqrt {1+x}}{(1-x)^{5/2}} \, dx\)
  3.11.2 \(\int \frac {\sqrt {1+x}}{(1-x)^{7/2}} \, dx\)
  3.11.3 \(\int \frac {\sqrt {1+x}}{(1-x)^{9/2}} \, dx\)
  3.11.4 \(\int \frac {\sqrt {1+x}}{(1-x)^{11/2}} \, dx\)
  3.11.5 \(\int \frac {\sqrt {1+x}}{(1-x)^{13/2}} \, dx\)
  3.11.6 \(\int (1-x)^{9/2} (1+x)^{3/2} \, dx\)
  3.11.7 \(\int (1-x)^{7/2} (1+x)^{3/2} \, dx\)
  3.11.8 \(\int (1-x)^{5/2} (1+x)^{3/2} \, dx\)
  3.11.9 \(\int (1-x)^{3/2} (1+x)^{3/2} \, dx\)
  3.11.10 \(\int \sqrt {1-x} (1+x)^{3/2} \, dx\)
  3.11.11 \(\int \frac {(1+x)^{3/2}}{\sqrt {1-x}} \, dx\)
  3.11.12 \(\int \frac {(1+x)^{3/2}}{(1-x)^{3/2}} \, dx\)
  3.11.13 \(\int \frac {(1+x)^{3/2}}{(1-x)^{5/2}} \, dx\)
  3.11.14 \(\int \frac {(1+x)^{3/2}}{(1-x)^{7/2}} \, dx\)
  3.11.15 \(\int \frac {(1+x)^{3/2}}{(1-x)^{9/2}} \, dx\)
  3.11.16 \(\int \frac {(1+x)^{3/2}}{(1-x)^{11/2}} \, dx\)
  3.11.17 \(\int \frac {(1+x)^{3/2}}{(1-x)^{13/2}} \, dx\)
  3.11.18 \(\int \frac {(1+x)^{3/2}}{(1-x)^{15/2}} \, dx\)
  3.11.19 \(\int (1-x)^{11/2} (1+x)^{5/2} \, dx\)
  3.11.20 \(\int (1-x)^{9/2} (1+x)^{5/2} \, dx\)
  3.11.21 \(\int (1-x)^{7/2} (1+x)^{5/2} \, dx\)
  3.11.22 \(\int (1-x)^{5/2} (1+x)^{5/2} \, dx\)
  3.11.23 \(\int (1-x)^{3/2} (1+x)^{5/2} \, dx\)
  3.11.24 \(\int \sqrt {1-x} (1+x)^{5/2} \, dx\)
  3.11.25 \(\int \frac {(1+x)^{5/2}}{\sqrt {1-x}} \, dx\)
  3.11.26 \(\int \frac {(1+x)^{5/2}}{(1-x)^{3/2}} \, dx\)
  3.11.27 \(\int \frac {(1+x)^{5/2}}{(1-x)^{5/2}} \, dx\)
  3.11.28 \(\int \frac {(1+x)^{5/2}}{(1-x)^{7/2}} \, dx\)
  3.11.29 \(\int \frac {(1+x)^{5/2}}{(1-x)^{9/2}} \, dx\)
  3.11.30 \(\int \frac {(1+x)^{5/2}}{(1-x)^{11/2}} \, dx\)
  3.11.31 \(\int \frac {(1+x)^{5/2}}{(1-x)^{13/2}} \, dx\)
  3.11.32 \(\int \frac {(1+x)^{5/2}}{(1-x)^{15/2}} \, dx\)
  3.11.33 \(\int \frac {(1+x)^{5/2}}{(1-x)^{17/2}} \, dx\)
  3.11.34 \(\int \frac {(1+x)^{5/2}}{(1-x)^{19/2}} \, dx\)
  3.11.35 \(\int \frac {(1+a x)^{3/2}}{\sqrt {1-a x}} \, dx\)
  3.11.36 \(\int \frac {(1+a x) \sqrt {1-a^2 x^2}}{1-a x} \, dx\)
  3.11.37 \(\int \frac {(1-x)^{7/2}}{\sqrt {1+x}} \, dx\)
  3.11.38 \(\int \frac {(1-x)^{5/2}}{\sqrt {1+x}} \, dx\)
  3.11.39 \(\int \frac {(1-x)^{3/2}}{\sqrt {1+x}} \, dx\)
  3.11.40 \(\int \frac {\sqrt {1-x}}{\sqrt {1+x}} \, dx\)
  3.11.41 \(\int \frac {1}{\sqrt {1-x} \sqrt {1+x}} \, dx\)
  3.11.42 \(\int \frac {1}{(1-x)^{3/2} \sqrt {1+x}} \, dx\)
  3.11.43 \(\int \frac {1}{(1-x)^{5/2} \sqrt {1+x}} \, dx\)
  3.11.44 \(\int \frac {1}{(1-x)^{7/2} \sqrt {1+x}} \, dx\)
  3.11.45 \(\int \frac {1}{(1-x)^{9/2} \sqrt {1+x}} \, dx\)
  3.11.46 \(\int \frac {1}{(1-x)^{11/2} \sqrt {1+x}} \, dx\)
  3.11.47 \(\int \frac {(1-x)^{7/2}}{(1+x)^{3/2}} \, dx\)
  3.11.48 \(\int \frac {(1-x)^{5/2}}{(1+x)^{3/2}} \, dx\)
  3.11.49 \(\int \frac {(1-x)^{3/2}}{(1+x)^{3/2}} \, dx\)
  3.11.50 \(\int \frac {\sqrt {1-x}}{(1+x)^{3/2}} \, dx\)
  3.11.51 \(\int \frac {1}{\sqrt {1-x} (1+x)^{3/2}} \, dx\)
  3.11.52 \(\int \frac {1}{(1-x)^{3/2} (1+x)^{3/2}} \, dx\)
  3.11.53 \(\int \frac {1}{(1-x)^{5/2} (1+x)^{3/2}} \, dx\)
  3.11.54 \(\int \frac {1}{(1-x)^{7/2} (1+x)^{3/2}} \, dx\)
  3.11.55 \(\int \frac {1}{(1-x)^{9/2} (1+x)^{3/2}} \, dx\)
  3.11.56 \(\int \frac {1}{(1-x)^{11/2} (1+x)^{3/2}} \, dx\)
  3.11.57 \(\int \frac {(1-x)^{9/2}}{(1+x)^{5/2}} \, dx\)
  3.11.58 \(\int \frac {(1-x)^{7/2}}{(1+x)^{5/2}} \, dx\)
  3.11.59 \(\int \frac {(1-x)^{5/2}}{(1+x)^{5/2}} \, dx\)
  3.11.60 \(\int \frac {(1-x)^{3/2}}{(1+x)^{5/2}} \, dx\)
  3.11.61 \(\int \frac {\sqrt {1-x}}{(1+x)^{5/2}} \, dx\)
  3.11.62 \(\int \frac {1}{\sqrt {1-x} (1+x)^{5/2}} \, dx\)
  3.11.63 \(\int \frac {1}{(1-x)^{3/2} (1+x)^{5/2}} \, dx\)
  3.11.64 \(\int \frac {1}{(1-x)^{5/2} (1+x)^{5/2}} \, dx\)
  3.11.65 \(\int \frac {1}{(1-x)^{7/2} (1+x)^{5/2}} \, dx\)
  3.11.66 \(\int \frac {1}{(1-x)^{9/2} (1+x)^{5/2}} \, dx\)
  3.11.67 \(\int \frac {1}{(1-x)^{11/2} (1+x)^{5/2}} \, dx\)
  3.11.68 \(\int (a+a x)^{5/2} (c-c x)^{5/2} \, dx\)
  3.11.69 \(\int (a+a x)^{3/2} (c-c x)^{3/2} \, dx\)
  3.11.70 \(\int \sqrt {a+a x} \sqrt {c-c x} \, dx\)
  3.11.71 \(\int \frac {1}{\sqrt {a+a x} \sqrt {c-c x}} \, dx\)
  3.11.72 \(\int \frac {1}{(a+a x)^{3/2} (c-c x)^{3/2}} \, dx\)
  3.11.73 \(\int \frac {1}{(a+a x)^{5/2} (c-c x)^{5/2}} \, dx\)
  3.11.74 \(\int \frac {1}{(a+a x)^{7/2} (c-c x)^{7/2}} \, dx\)
  3.11.75 \(\int \frac {1}{(a+a x)^{9/2} (c-c x)^{9/2}} \, dx\)
  3.11.76 \(\int (a+b x)^{5/2} (a c-b c x)^{5/2} \, dx\)
  3.11.77 \(\int (a+b x)^{3/2} (a c-b c x)^{3/2} \, dx\)
  3.11.78 \(\int \sqrt {a+b x} \sqrt {a c-b c x} \, dx\)
  3.11.79 \(\int \frac {1}{\sqrt {a+b x} \sqrt {a c-b c x}} \, dx\)
  3.11.80 \(\int \frac {1}{(a+b x)^{3/2} (a c-b c x)^{3/2}} \, dx\)
  3.11.81 \(\int \frac {1}{(a+b x)^{5/2} (a c-b c x)^{5/2}} \, dx\)
  3.11.82 \(\int \frac {1}{(a+b x)^{7/2} (a c-b c x)^{7/2}} \, dx\)
  3.11.83 \(\int \frac {1}{(a+b x)^{9/2} (a c-b c x)^{9/2}} \, dx\)
  3.11.84 \(\int (3-6 x)^{5/2} (2+4 x)^{5/2} \, dx\)
  3.11.85 \(\int (3-6 x)^{3/2} (2+4 x)^{3/2} \, dx\)
  3.11.86 \(\int \sqrt {3-6 x} \sqrt {2+4 x} \, dx\)
  3.11.87 \(\int \frac {1}{\sqrt {3-6 x} \sqrt {2+4 x}} \, dx\)
  3.11.88 \(\int \frac {1}{(3-6 x)^{3/2} (2+4 x)^{3/2}} \, dx\)
  3.11.89 \(\int \frac {1}{(3-6 x)^{5/2} (2+4 x)^{5/2}} \, dx\)
  3.11.90 \(\int \frac {1}{(3-6 x)^{7/2} (2+4 x)^{7/2}} \, dx\)
  3.11.91 \(\int (3-x)^{3/2} (-2+x)^{3/2} \, dx\)
  3.11.92 \(\int \sqrt {3-x} \sqrt {-2+x} \, dx\)
  3.11.93 \(\int \frac {1}{\sqrt {3-x} \sqrt {-2+x}} \, dx\)
  3.11.94 \(\int \frac {1}{(3-x)^{3/2} (-2+x)^{3/2}} \, dx\)
  3.11.95 \(\int \frac {1}{(3-x)^{5/2} (-2+x)^{5/2}} \, dx\)
  3.11.96 \(\int \frac {1}{(3-x)^{3/2} (3+x)^{3/2}} \, dx\)
  3.11.97 \(\int \frac {1}{(3-b x)^{3/2} (3+b x)^{3/2}} \, dx\)
  3.11.98 \(\int \frac {1}{(6-2 x)^{3/2} (3+x)^{3/2}} \, dx\)
  3.11.99 \(\int \frac {1}{(6-2 b x)^{3/2} (3+b x)^{3/2}} \, dx\)
  3.11.100 \(\int \frac {1}{\sqrt {a+b x} \sqrt {-a d+b d x}} \, dx\)