3.20 Integrals 1901 to 2000

  3.20.1 \(\int \frac {1}{(a+b \sqrt [3]{x})^3 x} \, dx\)
  3.20.2 \(\int \frac {1}{(a+b \sqrt [3]{x})^3 x^2} \, dx\)
  3.20.3 \(\int \frac {1}{(a+b \sqrt [3]{x})^3 x^3} \, dx\)
  3.20.4 \(\int \frac {1}{(a+b \sqrt [3]{x})^3 x^4} \, dx\)
  3.20.5 \(\int \frac {1}{\sqrt {1+\sqrt [3]{x}}} \, dx\)
  3.20.6 \(\int \frac {1}{(1+\sqrt [3]{x}) x^{3/2}} \, dx\)
  3.20.7 \(\int \frac {x^{2/3}}{1+\sqrt [3]{x}} \, dx\)
  3.20.8 \(\int \frac {1}{1+x^{2/3}} \, dx\)
  3.20.9 \(\int \frac {1}{(1+x^{2/3}) \sqrt [3]{x}} \, dx\)
  3.20.10 \(\int \frac {1}{(1+x^{2/3}) x^{2/3}} \, dx\)
  3.20.11 \(\int \frac {\sqrt {-1+x^{2/3}}}{\sqrt [3]{x}} \, dx\)
  3.20.12 \(\int \frac {(1+x^{2/3})^{3/2}}{\sqrt [3]{x}} \, dx\)
  3.20.13 \(\int \frac {\sqrt {x}}{1+x^{2/3}} \, dx\)
  3.20.14 \(\int \frac {\sqrt [3]{x}}{-1+x^{5/6}} \, dx\)
  3.20.15 \(\int \sqrt {3-\frac {1}{\sqrt {x}}} \, dx\)
  3.20.16 \(\int \frac {1}{\sqrt {1+\frac {1}{\sqrt {x}}}} \, dx\)
  3.20.17 \(\int (a+\frac {b}{x^{3/2}})^{2/3} \, dx\)
  3.20.18 \(\int (a+\frac {b}{\sqrt [3]{x}}) x^4 \, dx\)
  3.20.19 \(\int (a+\frac {b}{\sqrt [3]{x}}) x^3 \, dx\)
  3.20.20 \(\int (a+\frac {b}{\sqrt [3]{x}}) x^2 \, dx\)
  3.20.21 \(\int (a+\frac {b}{\sqrt [3]{x}}) x \, dx\)
  3.20.22 \(\int (a+\frac {b}{\sqrt [3]{x}}) \, dx\)
  3.20.23 \(\int \frac {a+\frac {b}{\sqrt [3]{x}}}{x} \, dx\)
  3.20.24 \(\int \frac {a+\frac {b}{\sqrt [3]{x}}}{x^2} \, dx\)
  3.20.25 \(\int \frac {a+\frac {b}{\sqrt [3]{x}}}{x^3} \, dx\)
  3.20.26 \(\int \frac {a+\frac {b}{\sqrt [3]{x}}}{x^4} \, dx\)
  3.20.27 \(\int (a+\frac {b}{\sqrt [3]{x}})^2 x^4 \, dx\)
  3.20.28 \(\int (a+\frac {b}{\sqrt [3]{x}})^2 x^3 \, dx\)
  3.20.29 \(\int (a+\frac {b}{\sqrt [3]{x}})^2 x^2 \, dx\)
  3.20.30 \(\int (a+\frac {b}{\sqrt [3]{x}})^2 x \, dx\)
  3.20.31 \(\int (a+\frac {b}{\sqrt [3]{x}})^2 \, dx\)
  3.20.32 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^2}{x} \, dx\)
  3.20.33 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^2}{x^2} \, dx\)
  3.20.34 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^2}{x^3} \, dx\)
  3.20.35 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^2}{x^4} \, dx\)
  3.20.36 \(\int (a+\frac {b}{\sqrt [3]{x}})^3 x^4 \, dx\)
  3.20.37 \(\int (a+\frac {b}{\sqrt [3]{x}})^3 x^3 \, dx\)
  3.20.38 \(\int (a+\frac {b}{\sqrt [3]{x}})^3 x^2 \, dx\)
  3.20.39 \(\int (a+\frac {b}{\sqrt [3]{x}})^3 x \, dx\)
  3.20.40 \(\int (a+\frac {b}{\sqrt [3]{x}})^3 \, dx\)
  3.20.41 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^3}{x} \, dx\)
  3.20.42 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^3}{x^2} \, dx\)
  3.20.43 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^3}{x^3} \, dx\)
  3.20.44 \(\int \frac {(a+\frac {b}{\sqrt [3]{x}})^3}{x^4} \, dx\)
  3.20.45 \(\int \frac {x^2}{a+\frac {b}{\sqrt [3]{x}}} \, dx\)
  3.20.46 \(\int \frac {x}{a+\frac {b}{\sqrt [3]{x}}} \, dx\)
  3.20.47 \(\int \frac {1}{a+\frac {b}{\sqrt [3]{x}}} \, dx\)
  3.20.48 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}}) x} \, dx\)
  3.20.49 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}}) x^2} \, dx\)
  3.20.50 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}}) x^3} \, dx\)
  3.20.51 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}}) x^4} \, dx\)
  3.20.52 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}}) x^5} \, dx\)
  3.20.53 \(\int \frac {x^2}{(a+\frac {b}{\sqrt [3]{x}})^2} \, dx\)
  3.20.54 \(\int \frac {x}{(a+\frac {b}{\sqrt [3]{x}})^2} \, dx\)
  3.20.55 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^2} \, dx\)
  3.20.56 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^2 x} \, dx\)
  3.20.57 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^2 x^2} \, dx\)
  3.20.58 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^2 x^3} \, dx\)
  3.20.59 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^2 x^4} \, dx\)
  3.20.60 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^2 x^5} \, dx\)
  3.20.61 \(\int \frac {x^2}{(a+\frac {b}{\sqrt [3]{x}})^3} \, dx\)
  3.20.62 \(\int \frac {x}{(a+\frac {b}{\sqrt [3]{x}})^3} \, dx\)
  3.20.63 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^3} \, dx\)
  3.20.64 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^3 x} \, dx\)
  3.20.65 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^3 x^2} \, dx\)
  3.20.66 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^3 x^3} \, dx\)
  3.20.67 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^3 x^4} \, dx\)
  3.20.68 \(\int \frac {1}{(a+\frac {b}{\sqrt [3]{x}})^3 x^5} \, dx\)
  3.20.69 \(\int \frac {1}{1+\frac {b}{\sqrt [3]{x}}} \, dx\)
  3.20.70 \(\int x^{2/3} (1+x^{5/3})^{2/3} \, dx\)
  3.20.71 \(\int x^{7/3} (a^{10/3}-x^{10/3})^{19/7} \, dx\)
  3.20.72 \(\int \frac {1}{1+\sqrt [5]{x}} \, dx\)
  3.20.73 \(\int \frac {1}{\sqrt {1+x^{4/5}} \sqrt [5]{x}} \, dx\)
  3.20.74 \(\int (a+\frac {b}{x^{3/5}})^{2/3} \, dx\)
  3.20.75 \(\int x^3 (a+b x^n) \, dx\)
  3.20.76 \(\int x^2 (a+b x^n) \, dx\)
  3.20.77 \(\int x (a+b x^n) \, dx\)
  3.20.78 \(\int (a+b x^n) \, dx\)
  3.20.79 \(\int \frac {a+b x^n}{x} \, dx\)
  3.20.80 \(\int \frac {a+b x^n}{x^2} \, dx\)
  3.20.81 \(\int \frac {a+b x^n}{x^3} \, dx\)
  3.20.82 \(\int x^3 (a+b x^n)^2 \, dx\)
  3.20.83 \(\int x^2 (a+b x^n)^2 \, dx\)
  3.20.84 \(\int x (a+b x^n)^2 \, dx\)
  3.20.85 \(\int (a+b x^n)^2 \, dx\)
  3.20.86 \(\int \frac {(a+b x^n)^2}{x} \, dx\)
  3.20.87 \(\int \frac {(a+b x^n)^2}{x^2} \, dx\)
  3.20.88 \(\int \frac {(a+b x^n)^2}{x^3} \, dx\)
  3.20.89 \(\int x^3 (a+b x^n)^3 \, dx\)
  3.20.90 \(\int x^2 (a+b x^n)^3 \, dx\)
  3.20.91 \(\int x (a+b x^n)^3 \, dx\)
  3.20.92 \(\int (a+b x^n)^3 \, dx\)
  3.20.93 \(\int \frac {(a+b x^n)^3}{x} \, dx\)
  3.20.94 \(\int \frac {(a+b x^n)^3}{x^2} \, dx\)
  3.20.95 \(\int \frac {(a+b x^n)^3}{x^3} \, dx\)
  3.20.96 \(\int \frac {1}{x (a+b x^n)} \, dx\)
  3.20.97 \(\int \frac {1}{x (a+b x^n)^2} \, dx\)
  3.20.98 \(\int \frac {1}{x (a+b x^n)^3} \, dx\)
  3.20.99 \(\int \frac {\sqrt {a+b x^n}}{x} \, dx\)
  3.20.100 \(\int \frac {(a+b x^n)^{3/2}}{x} \, dx\)