3.16.1 \(\int \genfrac {}{}{}{}{(2+x)^2}{x (4-2 x+x^2) \sqrt [3]{1+x+x^2}} \, dx\) [1501]
  3.16.2 \(\int \genfrac {}{}{}{}{1}{(-2 b+a x^2) \sqrt [4]{-b+a x^2}} \, dx\) [1502]
  3.16.3 \(\int \genfrac {}{}{}{}{-1+x}{x^7 \sqrt [3]{1+x^3}} \, dx\) [1503]
  3.16.4 \(\int \genfrac {}{}{}{}{3 c+2 b x+a x^2}{\sqrt [3]{c+b x+a x^2} (c+b x+a x^2+x^3)} \, dx\) [1504]
  3.16.5 \(\int \genfrac {}{}{}{}{-b+a x^2}{(b+a x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [1505]
  3.16.6 \(\int \genfrac {}{}{}{}{-b+a x^2}{(b+a x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [1506]
  3.16.7 \(\int \genfrac {}{}{}{}{\sqrt [4]{b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\) [1507]
  3.16.8 \(\int \genfrac {}{}{}{}{\sqrt [4]{b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\) [1508]
  3.16.9 \(\int \genfrac {}{}{}{}{\sqrt [4]{b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\) [1509]
  3.16.10 \(\int \genfrac {}{}{}{}{x (3+5 x^2)}{\sqrt [3]{1+x^2} (-1+x^3+x^5)} \, dx\) [1510]
  3.16.11 \(\int \genfrac {}{}{}{}{(-1+x^5)^{2/3} (3+2 x^5) (-2+x^3+2 x^5)}{x^6 (-1+x^3+x^5)} \, dx\) [1511]
  3.16.12 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (-2+x^3+x^6)}{x^9} \, dx\) [1512]
  3.16.13 \(\int \genfrac {}{}{}{}{(-1+x^6)^{2/3} (1+x^6) (-1-x^3+x^6)}{x^6 (-1+x^3+x^6)} \, dx\) [1513]
  3.16.14 \(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (-2+2 x^3+x^6)}{x^9} \, dx\) [1514]
  3.16.15 \(\int \genfrac {}{}{}{}{-2+x^4}{\sqrt [4]{1+x^4} (-2+x^4+x^8)} \, dx\) [1515]
  3.16.16 \(\int \genfrac {}{}{}{}{\sqrt [4]{-1+x^4} (2+x^4)}{x^2 (2+2 x^4+x^8)} \, dx\) [1516]
  3.16.17 \(\int \genfrac {}{}{}{}{\sqrt [4]{-1+x^4} (2+x^4)}{x^2 (2+2 x^4+x^8)} \, dx\) [1517]
  3.16.18 \(\int \genfrac {}{}{}{}{-2 b-2 a x^4+x^8}{x^4 \sqrt [4]{b+a x^4}} \, dx\) [1518]
  3.16.19 \(\int \genfrac {}{}{}{}{1-2 x^4+2 x^8}{\sqrt [4]{1+x^4} (-2-x^4+x^8)} \, dx\) [1519]
  3.16.20 \(\int \genfrac {}{}{}{}{(1+x^3+x^8)^{2/3} (-3+5 x^8)}{x^3 (1+x^8)} \, dx\) [1520]
  3.16.21 \(\int \genfrac {}{}{}{}{-b+2 a x^8}{\sqrt [4]{b+a x^4} (-b+a x^8)} \, dx\) [1521]
  3.16.22 \(\int \genfrac {}{}{}{}{\sqrt {-1-x^2+x^6} (1+2 x^6)}{8-x^4-16 x^6+8 x^{12}} \, dx\) [1522]
  3.16.23 \(\int \genfrac {}{}{}{}{1}{(1+x^2) \sqrt {x+\sqrt {1+x^2}}} \, dx\) [1523]
  3.16.24 \(\int \genfrac {}{}{}{}{\sqrt {x-\sqrt {1+x^2}}}{x^2+\sqrt {1+x^2}} \, dx\) [1524]
  3.16.25 \(\int \genfrac {}{}{}{}{\sqrt {a x^2+\sqrt {b+a^2 x^4}}}{x^2} \, dx\) [1525]
  3.16.26 \(\int \genfrac {}{}{}{}{-1+x}{(1+x) \sqrt {1+\sqrt {1+\sqrt {1+x}}}} \, dx\) [1526]
  3.16.27 \(\int \genfrac {}{}{}{}{1}{(-2+x) \sqrt [3]{1+2 x+x^2}} \, dx\) [1527]
  3.16.28 \(\int \genfrac {}{}{}{}{\sqrt [3]{-x+x^3}}{x^2} \, dx\) [1528]
  3.16.29 \(\int \genfrac {}{}{}{}{\sqrt [3]{-x^2+x^3}}{x} \, dx\) [1529]
  3.16.30 \(\int \genfrac {}{}{}{}{-3 b+a x^2}{(-b+a x^2+x^3) \sqrt [4]{-b x+a x^3}} \, dx\) [1530]
  3.16.31 \(\int \genfrac {}{}{}{}{1}{(-2 b+a x) \sqrt [4]{-b x^2+a x^3}} \, dx\) [1531]
  3.16.32 \(\int \genfrac {}{}{}{}{(-b+a x^4) \sqrt [4]{-b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\) [1532]
  3.16.33 \(\int \genfrac {}{}{}{}{(-b+a x^4) \sqrt [4]{-b x^2+a x^4}}{x^4 (b+a x^4)} \, dx\) [1533]
  3.16.34 \(\int \genfrac {}{}{}{}{-b+a x^2}{(b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [1534]
  3.16.35 \(\int \genfrac {}{}{}{}{-b+a x^2}{(b-a x^2+x^4) \sqrt [4]{b x^2+a x^4}} \, dx\) [1535]
  3.16.36 \(\int \genfrac {}{}{}{}{\sqrt [4]{b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\) [1536]
  3.16.37 \(\int \genfrac {}{}{}{}{\sqrt [4]{b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\) [1537]
  3.16.38 \(\int \genfrac {}{}{}{}{b^3+a^3 x^3}{(-b^3+a^3 x^3) \sqrt {b^4+a^4 x^4}} \, dx\) [1538]
  3.16.39 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (1+x^3+2 x^6)}{x^6 (-1+2 x^6)} \, dx\) [1539]
  3.16.40 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (1+x^3+2 x^6)}{x^6 (-1+2 x^6)} \, dx\) [1540]
  3.16.41 \(\int \genfrac {}{}{}{}{(1+x^6) (-1+2 x^6) (-1+x^4+2 x^6)^{5/4}}{x^{10} (-1-x^4+2 x^6)} \, dx\) [1541]
  3.16.42 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+a^6 x^6)} \, dx\) [1542]
  3.16.43 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+a^6 x^6)} \, dx\) [1543]
  3.16.44 \(\int \genfrac {}{}{}{}{((1-3 k^2) x+2 k^2 x^3) (1-2 k^2 x^2+k^4 x^4)}{((1-x^2) (1-k^2 x^2))^{3/4} (1-d+(-1+3 d k^2) x^2-3 d k^4 x^4+d k^6 x^6)} \, dx\) [1544]
  3.16.45 \(\int \genfrac {}{}{}{}{\sqrt [4]{-1+2 x^4} (-1+x^4+x^8)}{x^6 (-1+x^4)} \, dx\) [1545]
  3.16.46 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-b+a x^4} (-b-a x^4+x^8)} \, dx\) [1546]
  3.16.47 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{-b+a x^4} (-b-a x^4+x^8)} \, dx\) [1547]
  3.16.48 \(\int x^6 (-1+x^3)^{2/3} \, dx\) [1548]
  3.16.49 \(\int x^6 (1+x^3)^{2/3} \, dx\) [1549]
  3.16.50 \(\int x^4 \sqrt [3]{x+x^3} \, dx\) [1550]
  3.16.51 \(\int \genfrac {}{}{}{}{x^2 (3 a b^2-2 b (2 a+b) x+(a+2 b) x^2)}{(x (-a+x) (-b+x)^2)^{3/4} (a b^2-b (2 a+b) x+(a+2 b) x^2+(-1+d) x^3)} \, dx\) [1551]
  3.16.52 \(\int \genfrac {}{}{}{}{\sqrt [3]{1+x^4} (3+x^4)}{x^{17}} \, dx\) [1552]
  3.16.53 \(\int \genfrac {}{}{}{}{(-2+x^2) \sqrt [3]{x+x^3}}{x^2 (4-2 x^2+x^4)} \, dx\) [1553]
  3.16.54 \(\int \genfrac {}{}{}{}{(-2+x^2) \sqrt [3]{x+x^3}}{x^2 (4-2 x^2+x^4)} \, dx\) [1554]
  3.16.55 \(\int \genfrac {}{}{}{}{1}{(-1+x^4)^2 \sqrt [4]{-x^2+x^4}} \, dx\) [1555]
  3.16.56 \(\int \genfrac {}{}{}{}{(-1+x^2) (1-x+x^2-x^3+x^4)}{(1-x+x^2)^2 (1+x+x^2) \sqrt {1+3 x^2+x^4}} \, dx\) [1556]
  3.16.57 \(\int \genfrac {}{}{}{}{(b+a x^3) (b+2 a x^3)}{x^6 \sqrt [4]{b x+a x^4}} \, dx\) [1557]
  3.16.58 \(\int \genfrac {}{}{}{}{-b^3+a^3 x^3}{(b^3+a^3 x^3) \sqrt {b^4+a^4 x^4}} \, dx\) [1558]
  3.16.59 \(\int \genfrac {}{}{}{}{x^4 (-2 b+a x^2)}{(-b+a x^2)^2 \sqrt [4]{-b+a x^2+c x^4}} \, dx\) [1559]
  3.16.60 \(\int \genfrac {}{}{}{}{(-1-2 x+x^2) (-1+2 x+x^2)}{(1-x+2 x^2+x^3+x^4) \sqrt [3]{-x+x^5}} \, dx\) [1560]
  3.16.61 \(\int \genfrac {}{}{}{}{-b-a x^3+x^6}{x^6 \sqrt [4]{b x+a x^4}} \, dx\) [1561]
  3.16.62 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+a^6 x^6)} \, dx\) [1562]
  3.16.63 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+a^6 x^6)} \, dx\) [1563]
  3.16.64 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+2 a^6 x^6)} \, dx\) [1564]
  3.16.65 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (-b+2 a^6 x^6)} \, dx\) [1565]
  3.16.66 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+2 a^6 x^6)} \, dx\) [1566]
  3.16.67 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b^2 x^2+a^3 x^3} (b+2 a^6 x^6)} \, dx\) [1567]
  3.16.68 \(\int \genfrac {}{}{}{}{x^4 (-4+x^3)}{\sqrt [4]{-1+x^3} (-1+2 x^3-x^6+x^8)} \, dx\) [1568]
  3.16.69 \(\int \genfrac {}{}{}{}{x^6}{(b+a x^4)^{3/4} (-b^2+a^2 x^8)} \, dx\) [1569]
  3.16.70 \(\int \genfrac {}{}{}{}{(-b^2+a x^2) \sqrt {b+\sqrt {b^2+a x^2}}}{b^2+a x^2} \, dx\) [1570]
  3.16.71 \(\int \sqrt [3]{x^2+x^3} \, dx\) [1571]
  3.16.72 \(\int \genfrac {}{}{}{}{-1+k^3 x^3}{\sqrt {(1-x) x (1-k^2 x)} (1+k^3 x^3)} \, dx\) [1572]
  3.16.73 \(\int \genfrac {}{}{}{}{b+a x^2}{(b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}} \, dx\) [1573]
  3.16.74 \(\int \genfrac {}{}{}{}{b+a x^2}{(b+a x^2+x^4) \sqrt [4]{-b x^2+a x^4}} \, dx\) [1574]
  3.16.75 \(\int \genfrac {}{}{}{}{c+b x^2+c k^2 x^4}{\sqrt {(1-x^2) (1-k^2 x^2)} (-1+k^2 x^4)} \, dx\) [1575]
  3.16.76 \(\int \genfrac {}{}{}{}{3 b+a x^4}{(-b+x^3+a x^4) \sqrt [4]{-b x+a x^5}} \, dx\) [1576]
  3.16.77 \(\int \genfrac {}{}{}{}{-1+x^6}{x^6 \sqrt [3]{x+x^3}} \, dx\) [1577]
  3.16.78 \(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (2+x^6)}{x^6} \, dx\) [1578]
  3.16.79 \(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (-2+x^3+x^6)}{x^6} \, dx\) [1579]
  3.16.80 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (1+2 x^6)}{x^6} \, dx\) [1580]
  3.16.81 \(\int \genfrac {}{}{}{}{3 b+2 a x^5}{(-b+x^3+a x^5) \sqrt [4]{-b x+a x^6}} \, dx\) [1581]
  3.16.82 \(\int \genfrac {}{}{}{}{\sqrt [4]{-1+x^4} (1+x^4+x^8)}{x^6 (-1+2 x^8)} \, dx\) [1582]
  3.16.83 \(\int \genfrac {}{}{}{}{\sqrt [4]{-1+x^4} (1+x^4+x^8)}{x^6 (-1+2 x^8)} \, dx\) [1583]
  3.16.84 \(\int \genfrac {}{}{}{}{\sqrt {-b x+a^2 x^2}}{(a x^2+x \sqrt {-b x+a^2 x^2})^{3/2}} \, dx\) [1584]
  3.16.85 \(\int x^7 \sqrt [3]{-1+x^3} \, dx\) [1585]
  3.16.86 \(\int x^7 \sqrt [3]{1+x^3} \, dx\) [1586]
  3.16.87 \(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^3} (1+x^3)}{x^{13}} \, dx\) [1587]
  3.16.88 \(\int \genfrac {}{}{}{}{(-b+x) (a-3 b+2 x)}{(-a+x) ((-a+x) (-b+x))^{3/4} (b-a^3 d-(1-3 a^2 d) x-3 a d x^2+d x^3)} \, dx\) [1588]
  3.16.89 \(\int x^8 (-b+a x^4)^{3/4} \, dx\) [1589]
  3.16.90 \(\int \genfrac {}{}{}{}{1}{(b+a x^3) \sqrt [4]{-b x+a x^4}} \, dx\) [1590]
  3.16.91 \(\int \genfrac {}{}{}{}{\sqrt [4]{-b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\) [1591]
  3.16.92 \(\int \genfrac {}{}{}{}{\sqrt [4]{-b x^2+a x^4}}{x^4 (-b+a x^4)} \, dx\) [1592]
  3.16.93 \(\int \genfrac {}{}{}{}{(-2+(1+k) x) (1-(1+k) x+(a+k) x^2)}{\sqrt [3]{(1-x) x (1-k x)} (1-2 (1+k) x+(1+c+4 k+k^2) x^2-(c+2 k+c k+2 k^2) x^3+(-b+c k+k^2) x^4)} \, dx\) [1593]
  3.16.94 \(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (1+x^6)}{x^3} \, dx\) [1594]
  3.16.95 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (1-2 x^3+x^6)}{x^6 (-2+x^6)} \, dx\) [1595]
  3.16.96 \(\int \genfrac {}{}{}{}{(1+x^3)^{2/3} (1-2 x^3+x^6)}{x^6 (-2+x^6)} \, dx\) [1596]
  3.16.97 \(\int \genfrac {}{}{}{}{\sqrt [3]{-1+x^6} (-1+2 x^6)}{x^9} \, dx\) [1597]
  3.16.98 \(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (-1+x^6)}{x^6 (-2+x^3+2 x^6)} \, dx\) [1598]
  3.16.99 \(\int \genfrac {}{}{}{}{(-1+x^3)^{2/3} (-1+x^6)}{x^6 (-2+x^3+2 x^6)} \, dx\) [1599]
  3.16.100 \(\int \genfrac {}{}{}{}{\sqrt [4]{-1+x^4} (2-x^4+2 x^8)}{x^{10} (-1+2 x^4)} \, dx\) [1600]