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3.7
Integrals 601 to 697
3.7.1
\(\int x (a+b x^2)^{4/3} \, dx\)
3.7.2
\(\int \frac {(a+b x^2)^{4/3}}{x} \, dx\)
3.7.3
\(\int \frac {(a+b x^2)^{4/3}}{x^3} \, dx\)
3.7.4
\(\int \frac {(a+b x^2)^{4/3}}{x^5} \, dx\)
3.7.5
\(\int x (-1+x^2)^{7/3} \, dx\)
3.7.6
\(\int \frac {x^7}{\sqrt [3]{a+b x^2}} \, dx\)
3.7.7
\(\int \frac {x^5}{\sqrt [3]{a+b x^2}} \, dx\)
3.7.8
\(\int \frac {x^3}{\sqrt [3]{a+b x^2}} \, dx\)
3.7.9
\(\int \frac {x}{\sqrt [3]{a+b x^2}} \, dx\)
3.7.10
\(\int \frac {1}{x \sqrt [3]{a+b x^2}} \, dx\)
3.7.11
\(\int \frac {1}{x^3 \sqrt [3]{a+b x^2}} \, dx\)
3.7.12
\(\int \frac {1}{x^5 \sqrt [3]{a+b x^2}} \, dx\)
3.7.13
\(\int \frac {x^7}{(a+b x^2)^{2/3}} \, dx\)
3.7.14
\(\int \frac {x^5}{(a+b x^2)^{2/3}} \, dx\)
3.7.15
\(\int \frac {x^3}{(a+b x^2)^{2/3}} \, dx\)
3.7.16
\(\int \frac {x}{(a+b x^2)^{2/3}} \, dx\)
3.7.17
\(\int \frac {1}{x (a+b x^2)^{2/3}} \, dx\)
3.7.18
\(\int \frac {1}{x^3 (a+b x^2)^{2/3}} \, dx\)
3.7.19
\(\int \frac {1}{x^5 (a+b x^2)^{2/3}} \, dx\)
3.7.20
\(\int \frac {x^7}{(a+b x^2)^{4/3}} \, dx\)
3.7.21
\(\int \frac {x^5}{(a+b x^2)^{4/3}} \, dx\)
3.7.22
\(\int \frac {x^3}{(a+b x^2)^{4/3}} \, dx\)
3.7.23
\(\int \frac {x}{(a+b x^2)^{4/3}} \, dx\)
3.7.24
\(\int \frac {1}{x (a+b x^2)^{4/3}} \, dx\)
3.7.25
\(\int \frac {1}{x^3 (a+b x^2)^{4/3}} \, dx\)
3.7.26
\(\int \frac {1}{x^5 (a+b x^2)^{4/3}} \, dx\)
3.7.27
\(\int (c x)^{13/3} \sqrt [3]{a+b x^2} \, dx\)
3.7.28
\(\int (c x)^{7/3} \sqrt [3]{a+b x^2} \, dx\)
3.7.29
\(\int \sqrt [3]{c x} \sqrt [3]{a+b x^2} \, dx\)
3.7.30
\(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{5/3}} \, dx\)
3.7.31
\(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{11/3}} \, dx\)
3.7.32
\(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{17/3}} \, dx\)
3.7.33
\(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{23/3}} \, dx\)
3.7.34
\(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{29/3}} \, dx\)
3.7.35
\(\int (c x)^{13/3} (a+b x^2)^{4/3} \, dx\)
3.7.36
\(\int (c x)^{7/3} (a+b x^2)^{4/3} \, dx\)
3.7.37
\(\int \sqrt [3]{c x} (a+b x^2)^{4/3} \, dx\)
3.7.38
\(\int \frac {(a+b x^2)^{4/3}}{(c x)^{5/3}} \, dx\)
3.7.39
\(\int \frac {(a+b x^2)^{4/3}}{(c x)^{11/3}} \, dx\)
3.7.40
\(\int \frac {(a+b x^2)^{4/3}}{(c x)^{17/3}} \, dx\)
3.7.41
\(\int \frac {(a+b x^2)^{4/3}}{(c x)^{23/3}} \, dx\)
3.7.42
\(\int \frac {(a+b x^2)^{4/3}}{(c x)^{29/3}} \, dx\)
3.7.43
\(\int \frac {(c x)^{19/3}}{(a+b x^2)^{2/3}} \, dx\)
3.7.44
\(\int \frac {(c x)^{13/3}}{(a+b x^2)^{2/3}} \, dx\)
3.7.45
\(\int \frac {(c x)^{7/3}}{(a+b x^2)^{2/3}} \, dx\)
3.7.46
\(\int \frac {\sqrt [3]{c x}}{(a+b x^2)^{2/3}} \, dx\)
3.7.47
\(\int \frac {1}{(c x)^{5/3} (a+b x^2)^{2/3}} \, dx\)
3.7.48
\(\int \frac {1}{(c x)^{11/3} (a+b x^2)^{2/3}} \, dx\)
3.7.49
\(\int \frac {1}{(c x)^{17/3} (a+b x^2)^{2/3}} \, dx\)
3.7.50
\(\int \frac {1}{(c x)^{23/3} (a+b x^2)^{2/3}} \, dx\)
3.7.51
\(\int (c x)^{5/2} \sqrt [4]{a+b x^2} \, dx\)
3.7.52
\(\int \sqrt {c x} \sqrt [4]{a+b x^2} \, dx\)
3.7.53
\(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{3/2}} \, dx\)
3.7.54
\(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{7/2}} \, dx\)
3.7.55
\(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{11/2}} \, dx\)
3.7.56
\(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{15/2}} \, dx\)
3.7.57
\(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{19/2}} \, dx\)
3.7.58
\(\int (c x)^{5/2} \sqrt [4]{a-b x^2} \, dx\)
3.7.59
\(\int \sqrt {c x} \sqrt [4]{a-b x^2} \, dx\)
3.7.60
\(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{3/2}} \, dx\)
3.7.61
\(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{7/2}} \, dx\)
3.7.62
\(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{11/2}} \, dx\)
3.7.63
\(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{15/2}} \, dx\)
3.7.64
\(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{19/2}} \, dx\)
3.7.65
\(\int \frac {(c x)^{3/2}}{\sqrt [4]{a+b x^2}} \, dx\)
3.7.66
\(\int \frac {1}{\sqrt {c x} \sqrt [4]{a+b x^2}} \, dx\)
3.7.67
\(\int \frac {1}{(c x)^{5/2} \sqrt [4]{a+b x^2}} \, dx\)
3.7.68
\(\int \frac {1}{(c x)^{9/2} \sqrt [4]{a+b x^2}} \, dx\)
3.7.69
\(\int \frac {1}{(c x)^{13/2} \sqrt [4]{a+b x^2}} \, dx\)
3.7.70
\(\int \frac {(c x)^{3/2}}{\sqrt [4]{a-b x^2}} \, dx\)
3.7.71
\(\int \frac {1}{\sqrt {c x} \sqrt [4]{a-b x^2}} \, dx\)
3.7.72
\(\int \frac {1}{(c x)^{5/2} \sqrt [4]{a-b x^2}} \, dx\)
3.7.73
\(\int \frac {1}{(c x)^{9/2} \sqrt [4]{a-b x^2}} \, dx\)
3.7.74
\(\int \frac {1}{(c x)^{13/2} \sqrt [4]{a-b x^2}} \, dx\)
3.7.75
\(\int \frac {(c x)^{5/2}}{(a+b x^2)^{3/4}} \, dx\)
3.7.76
\(\int \frac {\sqrt {c x}}{(a+b x^2)^{3/4}} \, dx\)
3.7.77
\(\int \frac {1}{(c x)^{3/2} (a+b x^2)^{3/4}} \, dx\)
3.7.78
\(\int \frac {1}{(c x)^{7/2} (a+b x^2)^{3/4}} \, dx\)
3.7.79
\(\int \frac {1}{(c x)^{11/2} (a+b x^2)^{3/4}} \, dx\)
3.7.80
\(\int \frac {(c x)^{5/2}}{(a-b x^2)^{3/4}} \, dx\)
3.7.81
\(\int \frac {\sqrt {c x}}{(a-b x^2)^{3/4}} \, dx\)
3.7.82
\(\int \frac {1}{(c x)^{3/2} (a-b x^2)^{3/4}} \, dx\)
3.7.83
\(\int \frac {1}{(c x)^{7/2} (a-b x^2)^{3/4}} \, dx\)
3.7.84
\(\int \frac {1}{(c x)^{11/2} (a-b x^2)^{3/4}} \, dx\)
3.7.85
\(\int \frac {(c x)^{7/2}}{(a+b x^2)^{5/4}} \, dx\)
3.7.86
\(\int \frac {(c x)^{3/2}}{(a+b x^2)^{5/4}} \, dx\)
3.7.87
\(\int \frac {1}{\sqrt {c x} (a+b x^2)^{5/4}} \, dx\)
3.7.88
\(\int \frac {1}{(c x)^{5/2} (a+b x^2)^{5/4}} \, dx\)
3.7.89
\(\int \frac {1}{(c x)^{9/2} (a+b x^2)^{5/4}} \, dx\)
3.7.90
\(\int \frac {1}{(c x)^{13/2} (a+b x^2)^{5/4}} \, dx\)
3.7.91
\(\int x^7 (a+b x^2)^p \, dx\)
3.7.92
\(\int x^5 (a+b x^2)^p \, dx\)
3.7.93
\(\int x^3 (a+b x^2)^p \, dx\)
3.7.94
\(\int x (a+b x^2)^p \, dx\)
3.7.95
\(\int x^{-7-2 p} (a+b x^2)^p \, dx\)
3.7.96
\(\int x^{-5-2 p} (a+b x^2)^p \, dx\)
3.7.97
\(\int x^{-3-2 p} (a+b x^2)^p \, dx\)
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