3.16 Integrals 1501 to 1600

   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{12}} \, dx\) [1501]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{13}} \, dx\) [1502]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{14}} \, dx\) [1503]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^3}{(d+e x)^{15}} \, dx\) [1504]
   \(\int \genfrac {}{}{}{}{(d+e x)^5}{a^2+2 a b x+b^2 x^2} \, dx\) [1505]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{a^2+2 a b x+b^2 x^2} \, dx\) [1506]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{a^2+2 a b x+b^2 x^2} \, dx\) [1507]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{a^2+2 a b x+b^2 x^2} \, dx\) [1508]
   \(\int \genfrac {}{}{}{}{d+e x}{a^2+2 a b x+b^2 x^2} \, dx\) [1509]
   \(\int \genfrac {}{}{}{}{1}{a^2+2 a b x+b^2 x^2} \, dx\) [1510]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)} \, dx\) [1511]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)} \, dx\) [1512]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)} \, dx\) [1513]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 (a^2+2 a b x+b^2 x^2)} \, dx\) [1514]
   \(\int \genfrac {}{}{}{}{(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1515]
   \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1516]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1517]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1518]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1519]
   \(\int \genfrac {}{}{}{}{d+e x}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1520]
   \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x+b^2 x^2)^2} \, dx\) [1521]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1522]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1523]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^2} \, dx\) [1524]
   \(\int \genfrac {}{}{}{}{(d+e x)^8}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1525]
   \(\int \genfrac {}{}{}{}{(d+e x)^7}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1526]
   \(\int \genfrac {}{}{}{}{(d+e x)^6}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1527]
   \(\int \genfrac {}{}{}{}{(d+e x)^5}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1528]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1529]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1530]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1531]
   \(\int \genfrac {}{}{}{}{d+e x}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1532]
   \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x+b^2 x^2)^3} \, dx\) [1533]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1534]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1535]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 (a^2+2 a b x+b^2 x^2)^3} \, dx\) [1536]
   \(\int (d+e x) (9+12 x+4 x^2)^3 \, dx\) [1537]
   \(\int (d+e x) (9+12 x+4 x^2)^2 \, dx\) [1538]
   \(\int (d+e x) (9+12 x+4 x^2) \, dx\) [1539]
   \(\int \genfrac {}{}{}{}{d+e x}{9+12 x+4 x^2} \, dx\) [1540]
   \(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^2} \, dx\) [1541]
   \(\int \genfrac {}{}{}{}{d+e x}{(9+12 x+4 x^2)^3} \, dx\) [1542]
   \(\int (d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1543]
   \(\int (d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1544]
   \(\int (d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1545]
   \(\int (d+e x) \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1546]
   \(\int \sqrt {a^2+2 a b x+b^2 x^2} \, dx\) [1547]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{d+e x} \, dx\) [1548]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^2} \, dx\) [1549]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^3} \, dx\) [1550]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^4} \, dx\) [1551]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^5} \, dx\) [1552]
   \(\int \genfrac {}{}{}{}{\sqrt {a^2+2 a b x+b^2 x^2}}{(d+e x)^6} \, dx\) [1553]
   \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1554]
   \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1555]
   \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1556]
   \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1557]
   \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1558]
   \(\int (a^2+2 a b x+b^2 x^2)^{3/2} \, dx\) [1559]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{d+e x} \, dx\) [1560]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^2} \, dx\) [1561]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^3} \, dx\) [1562]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^4} \, dx\) [1563]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^5} \, dx\) [1564]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^6} \, dx\) [1565]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^7} \, dx\) [1566]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^8} \, dx\) [1567]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{3/2}}{(d+e x)^9} \, dx\) [1568]
   \(\int (d+e x)^5 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1569]
   \(\int (d+e x)^4 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1570]
   \(\int (d+e x)^3 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1571]
   \(\int (d+e x)^2 (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1572]
   \(\int (d+e x) (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1573]
   \(\int (a^2+2 a b x+b^2 x^2)^{5/2} \, dx\) [1574]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{d+e x} \, dx\) [1575]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^2} \, dx\) [1576]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^3} \, dx\) [1577]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^4} \, dx\) [1578]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^5} \, dx\) [1579]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^6} \, dx\) [1580]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^7} \, dx\) [1581]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^8} \, dx\) [1582]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^9} \, dx\) [1583]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{10}} \, dx\) [1584]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{11}} \, dx\) [1585]
   \(\int \genfrac {}{}{}{}{(a^2+2 a b x+b^2 x^2)^{5/2}}{(d+e x)^{12}} \, dx\) [1586]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1587]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1588]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1589]
   \(\int \genfrac {}{}{}{}{d+e x}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1590]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1591]
   \(\int \genfrac {}{}{}{}{1}{(d+e x) \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1592]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^2 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1593]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^3 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1594]
   \(\int \genfrac {}{}{}{}{1}{(d+e x)^4 \sqrt {a^2+2 a b x+b^2 x^2}} \, dx\) [1595]
   \(\int \genfrac {}{}{}{}{(d+e x)^4}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1596]
   \(\int \genfrac {}{}{}{}{(d+e x)^3}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1597]
   \(\int \genfrac {}{}{}{}{(d+e x)^2}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1598]
   \(\int \genfrac {}{}{}{}{d+e x}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1599]
   \(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x+b^2 x^2)^{3/2}} \, dx\) [1600]