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]