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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
\(\int \frac {1}{\sqrt {a+b x} \sqrt {-a d+b d x}} \, dx\)
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