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3.16
Integrals 1501 to 1600
3.16.1
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{11/2} \sqrt {c+d x}} \, dx\) [1501]
3.16.2
\(\int \genfrac {}{}{}{}{(a+b x)^{7/2}}{(c+d x)^{3/2}} \, dx\) [1502]
3.16.3
\(\int \genfrac {}{}{}{}{(a+b x)^{5/2}}{(c+d x)^{3/2}} \, dx\) [1503]
3.16.4
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2}}{(c+d x)^{3/2}} \, dx\) [1504]
3.16.5
\(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{(c+d x)^{3/2}} \, dx\) [1505]
3.16.6
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} (c+d x)^{3/2}} \, dx\) [1506]
3.16.7
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx\) [1507]
3.16.8
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/2} (c+d x)^{3/2}} \, dx\) [1508]
3.16.9
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/2} (c+d x)^{3/2}} \, dx\) [1509]
3.16.10
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{9/2} (c+d x)^{3/2}} \, dx\) [1510]
3.16.11
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{11/2} (c+d x)^{3/2}} \, dx\) [1511]
3.16.12
\(\int \genfrac {}{}{}{}{(a+b x)^{9/2}}{(c+d x)^{5/2}} \, dx\) [1512]
3.16.13
\(\int \genfrac {}{}{}{}{(a+b x)^{7/2}}{(c+d x)^{5/2}} \, dx\) [1513]
3.16.14
\(\int \genfrac {}{}{}{}{(a+b x)^{5/2}}{(c+d x)^{5/2}} \, dx\) [1514]
3.16.15
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2}}{(c+d x)^{5/2}} \, dx\) [1515]
3.16.16
\(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{(c+d x)^{5/2}} \, dx\) [1516]
3.16.17
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} (c+d x)^{5/2}} \, dx\) [1517]
3.16.18
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx\) [1518]
3.16.19
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx\) [1519]
3.16.20
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/2} (c+d x)^{5/2}} \, dx\) [1520]
3.16.21
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{9/2} (c+d x)^{5/2}} \, dx\) [1521]
3.16.22
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {4+a+b x}} \, dx\) [1522]
3.16.23
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+b x} \sqrt {6+b x}} \, dx\) [1523]
3.16.24
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x} \sqrt {5+b x}} \, dx\) [1524]
3.16.25
\(\int \genfrac {}{}{}{}{1}{\sqrt {b x} \sqrt {4+b x}} \, dx\) [1525]
3.16.26
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+b x} \sqrt {3+b x}} \, dx\) [1526]
3.16.27
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2+b x} \sqrt {2+b x}} \, dx\) [1527]
3.16.28
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3+b x} \sqrt {1+b x}} \, dx\) [1528]
3.16.29
\(\int \genfrac {}{}{}{}{1}{\sqrt {2+b x} \sqrt {3+b x}} \, dx\) [1529]
3.16.30
\(\int \genfrac {}{}{}{}{1}{2+b x} \, dx\) [1530]
3.16.31
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+b x} \sqrt {2+b x}} \, dx\) [1531]
3.16.32
\(\int \genfrac {}{}{}{}{1}{\sqrt {b x} \sqrt {2+b x}} \, dx\) [1532]
3.16.33
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1+b x} \sqrt {2+b x}} \, dx\) [1533]
3.16.34
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2+b x} \sqrt {2+b x}} \, dx\) [1534]
3.16.35
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3+b x} \sqrt {2+b x}} \, dx\) [1535]
3.16.36
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-b x} \sqrt {2+b x}} \, dx\) [1536]
3.16.37
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-b x} \sqrt {2+b x}} \, dx\) [1537]
3.16.38
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-b x} \sqrt {2+b x}} \, dx\) [1538]
3.16.39
\(\int \genfrac {}{}{}{}{1}{\sqrt {-b x} \sqrt {2+b x}} \, dx\) [1539]
3.16.40
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-b x} \sqrt {2+b x}} \, dx\) [1540]
3.16.41
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2-b x} \sqrt {2+b x}} \, dx\) [1541]
3.16.42
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3-b x} \sqrt {2+b x}} \, dx\) [1542]
3.16.43
\(\int \genfrac {}{}{}{}{1}{\sqrt {2-b x} \sqrt {3-b x}} \, dx\) [1543]
3.16.44
\(\int \genfrac {}{}{}{}{1}{2-b x} \, dx\) [1544]
3.16.45
\(\int \genfrac {}{}{}{}{1}{\sqrt {1-b x} \sqrt {2-b x}} \, dx\) [1545]
3.16.46
\(\int \genfrac {}{}{}{}{1}{\sqrt {-b x} \sqrt {2-b x}} \, dx\) [1546]
3.16.47
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-b x} \sqrt {2-b x}} \, dx\) [1547]
3.16.48
\(\int \genfrac {}{}{}{}{1}{\sqrt {-2-b x} \sqrt {2-b x}} \, dx\) [1548]
3.16.49
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3-b x} \sqrt {2-b x}} \, dx\) [1549]
3.16.50
\(\int \genfrac {}{}{}{}{1}{\sqrt {-4+b x} \sqrt {4+b x}} \, dx\) [1550]
3.16.51
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{-b+b c}{d}+b x} \sqrt {c+d x}} \, dx\) [1551]
3.16.52
\(\int \genfrac {}{}{}{}{1}{\sqrt {x} \sqrt {-3+2 x}} \, dx\) [1552]
3.16.53
\(\int \genfrac {}{}{}{}{1}{\sqrt {-3+2 x} \sqrt {2+3 x}} \, dx\) [1553]
3.16.54
\(\int \genfrac {}{}{}{}{1}{\sqrt {\genfrac {}{}{}{}{b-b c}{d}+b x} \sqrt {c-d x}} \, dx\) [1554]
3.16.55
\(\int \genfrac {}{}{}{}{1}{\sqrt {4-x} \sqrt {x}} \, dx\) [1555]
3.16.56
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-2 x} \sqrt {x}} \, dx\) [1556]
3.16.57
\(\int \genfrac {}{}{}{}{1}{\sqrt {3-2 x} \sqrt {3+5 x}} \, dx\) [1557]
3.16.58
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b x} \sqrt {c+d x}} \, dx\) [1558]
3.16.59
\(\int (a+b x)^{3/2} \sqrt [3]{c+d x} \, dx\) [1559]
3.16.60
\(\int \sqrt {a+b x} \sqrt [3]{c+d x} \, dx\) [1560]
3.16.61
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{\sqrt {a+b x}} \, dx\) [1561]
3.16.62
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{3/2}} \, dx\) [1562]
3.16.63
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{5/2}} \, dx\) [1563]
3.16.64
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{7/2}} \, dx\) [1564]
3.16.65
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2}}{\sqrt [3]{c+d x}} \, dx\) [1565]
3.16.66
\(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{\sqrt [3]{c+d x}} \, dx\) [1566]
3.16.67
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt [3]{c+d x}} \, dx\) [1567]
3.16.68
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} \sqrt [3]{c+d x}} \, dx\) [1568]
3.16.69
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/2} \sqrt [3]{c+d x}} \, dx\) [1569]
3.16.70
\(\int \genfrac {}{}{}{}{(a+b x)^{3/2}}{(c+d x)^{2/3}} \, dx\) [1570]
3.16.71
\(\int \genfrac {}{}{}{}{\sqrt {a+b x}}{(c+d x)^{2/3}} \, dx\) [1571]
3.16.72
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} (c+d x)^{2/3}} \, dx\) [1572]
3.16.73
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} (c+d x)^{2/3}} \, dx\) [1573]
3.16.74
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/2} (c+d x)^{2/3}} \, dx\) [1574]
3.16.75
\(\int (a+b x)^{2/3} \sqrt [3]{c+d x} \, dx\) [1575]
3.16.76
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{\sqrt [3]{a+b x}} \, dx\) [1576]
3.16.77
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{4/3}} \, dx\) [1577]
3.16.78
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{7/3}} \, dx\) [1578]
3.16.79
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{10/3}} \, dx\) [1579]
3.16.80
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{13/3}} \, dx\) [1580]
3.16.81
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{16/3}} \, dx\) [1581]
3.16.82
\(\int (a+b x)^{4/3} \sqrt [3]{c+d x} \, dx\) [1582]
3.16.83
\(\int \sqrt [3]{a+b x} \sqrt [3]{c+d x} \, dx\) [1583]
3.16.84
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{2/3}} \, dx\) [1584]
3.16.85
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{5/3}} \, dx\) [1585]
3.16.86
\(\int \genfrac {}{}{}{}{\sqrt [3]{c+d x}}{(a+b x)^{8/3}} \, dx\) [1586]
3.16.87
\(\int \genfrac {}{}{}{}{(a+b x)^{4/3}}{\sqrt [3]{c+d x}} \, dx\) [1587]
3.16.88
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b x}}{\sqrt [3]{c+d x}} \, dx\) [1588]
3.16.89
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{2/3} \sqrt [3]{c+d x}} \, dx\) [1589]
3.16.90
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/3} \sqrt [3]{c+d x}} \, dx\) [1590]
3.16.91
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{8/3} \sqrt [3]{c+d x}} \, dx\) [1591]
3.16.92
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{11/3} \sqrt [3]{c+d x}} \, dx\) [1592]
3.16.93
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{14/3} \sqrt [3]{c+d x}} \, dx\) [1593]
3.16.94
\(\int \genfrac {}{}{}{}{(a+b x)^{8/3}}{\sqrt [3]{c+d x}} \, dx\) [1594]
3.16.95
\(\int \genfrac {}{}{}{}{(a+b x)^{5/3}}{\sqrt [3]{c+d x}} \, dx\) [1595]
3.16.96
\(\int \genfrac {}{}{}{}{(a+b x)^{2/3}}{\sqrt [3]{c+d x}} \, dx\) [1596]
3.16.97
\(\int \genfrac {}{}{}{}{1}{\sqrt [3]{a+b x} \sqrt [3]{c+d x}} \, dx\) [1597]
3.16.98
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{4/3} \sqrt [3]{c+d x}} \, dx\) [1598]
3.16.99
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/3} \sqrt [3]{c+d x}} \, dx\) [1599]
3.16.100
\(\int \genfrac {}{}{}{}{1}{(a+b x)^{10/3} \sqrt [3]{c+d x}} \, dx\) [1600]
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