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3.6
Integrals 501 to 600
3.6.1
\(\int (d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^3 \, dx\)
3.6.2
\(\int (d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^3 \, dx\)
3.6.3
\(\int \sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^3 \, dx\)
3.6.4
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^3}{\sqrt {d x}} \, dx\)
3.6.5
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^3}{(d x)^{3/2}} \, dx\)
3.6.6
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^3}{(d x)^{5/2}} \, dx\)
3.6.7
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^3}{(d x)^{7/2}} \, dx\)
3.6.8
\(\int \frac {(d x)^{11/2}}{a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.9
\(\int \frac {(d x)^{9/2}}{a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.10
\(\int \frac {(d x)^{7/2}}{a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.11
\(\int \frac {(d x)^{5/2}}{a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.12
\(\int \frac {(d x)^{3/2}}{a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.13
\(\int \frac {\sqrt {d x}}{a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.14
\(\int \frac {1}{\sqrt {d x} (a^2+2 a b x^2+b^2 x^4)} \, dx\)
3.6.15
\(\int \frac {1}{(d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)} \, dx\)
3.6.16
\(\int \frac {1}{(d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)} \, dx\)
3.6.17
\(\int \frac {1}{(d x)^{7/2} (a^2+2 a b x^2+b^2 x^4)} \, dx\)
3.6.18
\(\int \frac {(d x)^{19/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.19
\(\int \frac {(d x)^{17/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.20
\(\int \frac {(d x)^{15/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.21
\(\int \frac {(d x)^{13/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.22
\(\int \frac {(d x)^{11/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.23
\(\int \frac {(d x)^{9/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.24
\(\int \frac {(d x)^{7/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.25
\(\int \frac {(d x)^{5/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.26
\(\int \frac {(d x)^{3/2}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.27
\(\int \frac {\sqrt {d x}}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.28
\(\int \frac {1}{\sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.29
\(\int \frac {1}{(d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.30
\(\int \frac {1}{(d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.31
\(\int \frac {1}{(d x)^{7/2} (a^2+2 a b x^2+b^2 x^4)^2} \, dx\)
3.6.32
\(\int \frac {(d x)^{27/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.33
\(\int \frac {(d x)^{25/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.34
\(\int \frac {(d x)^{23/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.35
\(\int \frac {(d x)^{21/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.36
\(\int \frac {(d x)^{19/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.37
\(\int \frac {(d x)^{17/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.38
\(\int \frac {(d x)^{15/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.39
\(\int \frac {(d x)^{13/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.40
\(\int \frac {(d x)^{11/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.41
\(\int \frac {(d x)^{9/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.42
\(\int \frac {(d x)^{7/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.43
\(\int \frac {(d x)^{5/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.44
\(\int \frac {(d x)^{3/2}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.45
\(\int \frac {\sqrt {d x}}{(a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.46
\(\int \frac {1}{\sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.47
\(\int \frac {1}{(d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.48
\(\int \frac {1}{(d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.49
\(\int \frac {1}{(d x)^{7/2} (a^2+2 a b x^2+b^2 x^4)^3} \, dx\)
3.6.50
\(\int (d x)^{5/2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.51
\(\int (d x)^{3/2} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.52
\(\int \sqrt {d x} \sqrt {a^2+2 a b x^2+b^2 x^4} \, dx\)
3.6.53
\(\int \frac {\sqrt {a^2+2 a b x^2+b^2 x^4}}{\sqrt {d x}} \, dx\)
3.6.54
\(\int \frac {\sqrt {a^2+2 a b x^2+b^2 x^4}}{(d x)^{3/2}} \, dx\)
3.6.55
\(\int \frac {\sqrt {a^2+2 a b x^2+b^2 x^4}}{(d x)^{5/2}} \, dx\)
3.6.56
\(\int \frac {\sqrt {a^2+2 a b x^2+b^2 x^4}}{(d x)^{7/2}} \, dx\)
3.6.57
\(\int (d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
3.6.58
\(\int (d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
3.6.59
\(\int \sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^{3/2} \, dx\)
3.6.60
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{\sqrt {d x}} \, dx\)
3.6.61
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{(d x)^{3/2}} \, dx\)
3.6.62
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{(d x)^{5/2}} \, dx\)
3.6.63
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{3/2}}{(d x)^{7/2}} \, dx\)
3.6.64
\(\int (d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
3.6.65
\(\int (d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
3.6.66
\(\int \sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^{5/2} \, dx\)
3.6.67
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{\sqrt {d x}} \, dx\)
3.6.68
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{(d x)^{3/2}} \, dx\)
3.6.69
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{(d x)^{5/2}} \, dx\)
3.6.70
\(\int \frac {(a^2+2 a b x^2+b^2 x^4)^{5/2}}{(d x)^{7/2}} \, dx\)
3.6.71
\(\int \frac {(d x)^{7/2}}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.72
\(\int \frac {(d x)^{5/2}}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.73
\(\int \frac {(d x)^{3/2}}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.74
\(\int \frac {\sqrt {d x}}{\sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.75
\(\int \frac {1}{\sqrt {d x} \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.76
\(\int \frac {1}{(d x)^{3/2} \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.77
\(\int \frac {1}{(d x)^{5/2} \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.78
\(\int \frac {1}{(d x)^{7/2} \sqrt {a^2+2 a b x^2+b^2 x^4}} \, dx\)
3.6.79
\(\int \frac {(d x)^{15/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.80
\(\int \frac {(d x)^{13/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.81
\(\int \frac {(d x)^{11/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.82
\(\int \frac {(d x)^{9/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.83
\(\int \frac {(d x)^{7/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.84
\(\int \frac {(d x)^{5/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.85
\(\int \frac {(d x)^{3/2}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.86
\(\int \frac {\sqrt {d x}}{(a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.87
\(\int \frac {1}{\sqrt {d x} (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.88
\(\int \frac {1}{(d x)^{3/2} (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.89
\(\int \frac {1}{(d x)^{5/2} (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.90
\(\int \frac {1}{(d x)^{7/2} (a^2+2 a b x^2+b^2 x^4)^{3/2}} \, dx\)
3.6.91
\(\int \frac {(d x)^{23/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.92
\(\int \frac {(d x)^{21/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.93
\(\int \frac {(d x)^{19/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.94
\(\int \frac {(d x)^{17/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.95
\(\int \frac {(d x)^{15/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.96
\(\int \frac {(d x)^{13/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.97
\(\int \frac {(d x)^{11/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.98
\(\int \frac {(d x)^{9/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.99
\(\int \frac {(d x)^{7/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
3.6.100
\(\int \frac {(d x)^{5/2}}{(a^2+2 a b x^2+b^2 x^4)^{5/2}} \, dx\)
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