3.19 Integrals 1801 to 1900

  3.19.1 \(\int \frac {1}{x^3 (a+b x^{3/2})^{2/3}} \, dx\)
  3.19.2 \(\int \frac {1}{x^6 (a+b x^{3/2})^{2/3}} \, dx\)
  3.19.3 \(\int \frac {1}{x^9 (a+b x^{3/2})^{2/3}} \, dx\)
  3.19.4 \(\int \frac {x^8}{(a+b x^{3/2})^{2/3}} \, dx\)
  3.19.5 \(\int \frac {x^5}{(a+b x^{3/2})^{2/3}} \, dx\)
  3.19.6 \(\int \frac {x^2}{(a+b x^{3/2})^{2/3}} \, dx\)
  3.19.7 \(\int \frac {1}{x (a+b x^{3/2})^{2/3}} \, dx\)
  3.19.8 \(\int \frac {1}{x^4 (a+b x^{3/2})^{2/3}} \, dx\)
  3.19.9 \(\int (a+b \sqrt [3]{x}) x^4 \, dx\)
  3.19.10 \(\int (a+b \sqrt [3]{x}) x^3 \, dx\)
  3.19.11 \(\int (a+b \sqrt [3]{x}) x^2 \, dx\)
  3.19.12 \(\int (a+b \sqrt [3]{x}) x \, dx\)
  3.19.13 \(\int (a+b \sqrt [3]{x}) \, dx\)
  3.19.14 \(\int \frac {a+b \sqrt [3]{x}}{x} \, dx\)
  3.19.15 \(\int \frac {a+b \sqrt [3]{x}}{x^2} \, dx\)
  3.19.16 \(\int \frac {a+b \sqrt [3]{x}}{x^3} \, dx\)
  3.19.17 \(\int \frac {a+b \sqrt [3]{x}}{x^4} \, dx\)
  3.19.18 \(\int (a+b \sqrt [3]{x})^2 x^4 \, dx\)
  3.19.19 \(\int (a+b \sqrt [3]{x})^2 x^3 \, dx\)
  3.19.20 \(\int (a+b \sqrt [3]{x})^2 x^2 \, dx\)
  3.19.21 \(\int (a+b \sqrt [3]{x})^2 x \, dx\)
  3.19.22 \(\int (a+b \sqrt [3]{x})^2 \, dx\)
  3.19.23 \(\int \frac {(a+b \sqrt [3]{x})^2}{x} \, dx\)
  3.19.24 \(\int \frac {(a+b \sqrt [3]{x})^2}{x^2} \, dx\)
  3.19.25 \(\int \frac {(a+b \sqrt [3]{x})^2}{x^3} \, dx\)
  3.19.26 \(\int \frac {(a+b \sqrt [3]{x})^2}{x^4} \, dx\)
  3.19.27 \(\int (a+b \sqrt [3]{x})^3 x^4 \, dx\)
  3.19.28 \(\int (a+b \sqrt [3]{x})^3 x^3 \, dx\)
  3.19.29 \(\int (a+b \sqrt [3]{x})^3 x^2 \, dx\)
  3.19.30 \(\int (a+b \sqrt [3]{x})^3 x \, dx\)
  3.19.31 \(\int (a+b \sqrt [3]{x})^3 \, dx\)
  3.19.32 \(\int \frac {(a+b \sqrt [3]{x})^3}{x} \, dx\)
  3.19.33 \(\int \frac {(a+b \sqrt [3]{x})^3}{x^2} \, dx\)
  3.19.34 \(\int \frac {(a+b \sqrt [3]{x})^3}{x^3} \, dx\)
  3.19.35 \(\int \frac {(a+b \sqrt [3]{x})^3}{x^4} \, dx\)
  3.19.36 \(\int (a+b \sqrt [3]{x})^5 x^4 \, dx\)
  3.19.37 \(\int (a+b \sqrt [3]{x})^5 x^3 \, dx\)
  3.19.38 \(\int (a+b \sqrt [3]{x})^5 x^2 \, dx\)
  3.19.39 \(\int (a+b \sqrt [3]{x})^5 x \, dx\)
  3.19.40 \(\int (a+b \sqrt [3]{x})^5 \, dx\)
  3.19.41 \(\int \frac {(a+b \sqrt [3]{x})^5}{x} \, dx\)
  3.19.42 \(\int \frac {(a+b \sqrt [3]{x})^5}{x^2} \, dx\)
  3.19.43 \(\int \frac {(a+b \sqrt [3]{x})^5}{x^3} \, dx\)
  3.19.44 \(\int \frac {(a+b \sqrt [3]{x})^5}{x^4} \, dx\)
  3.19.45 \(\int \frac {(a+b \sqrt [3]{x})^5}{x^5} \, dx\)
  3.19.46 \(\int \frac {(a+b \sqrt [3]{x})^5}{x^6} \, dx\)
  3.19.47 \(\int \frac {(a+b \sqrt [3]{x})^5}{x^7} \, dx\)
  3.19.48 \(\int (a+b \sqrt [3]{x})^{10} x^4 \, dx\)
  3.19.49 \(\int (a+b \sqrt [3]{x})^{10} x^3 \, dx\)
  3.19.50 \(\int (a+b \sqrt [3]{x})^{10} x^2 \, dx\)
  3.19.51 \(\int (a+b \sqrt [3]{x})^{10} x \, dx\)
  3.19.52 \(\int (a+b \sqrt [3]{x})^{10} \, dx\)
  3.19.53 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x} \, dx\)
  3.19.54 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^2} \, dx\)
  3.19.55 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^3} \, dx\)
  3.19.56 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^4} \, dx\)
  3.19.57 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^5} \, dx\)
  3.19.58 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^6} \, dx\)
  3.19.59 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^7} \, dx\)
  3.19.60 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^8} \, dx\)
  3.19.61 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^9} \, dx\)
  3.19.62 \(\int \frac {(a+b \sqrt [3]{x})^{10}}{x^{10}} \, dx\)
  3.19.63 \(\int (a+b \sqrt [3]{x})^{15} x^5 \, dx\)
  3.19.64 \(\int (a+b \sqrt [3]{x})^{15} x^4 \, dx\)
  3.19.65 \(\int (a+b \sqrt [3]{x})^{15} x^3 \, dx\)
  3.19.66 \(\int (a+b \sqrt [3]{x})^{15} x^2 \, dx\)
  3.19.67 \(\int (a+b \sqrt [3]{x})^{15} x \, dx\)
  3.19.68 \(\int (a+b \sqrt [3]{x})^{15} \, dx\)
  3.19.69 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x} \, dx\)
  3.19.70 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^2} \, dx\)
  3.19.71 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^3} \, dx\)
  3.19.72 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^4} \, dx\)
  3.19.73 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^6} \, dx\)
  3.19.74 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^7} \, dx\)
  3.19.75 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^8} \, dx\)
  3.19.76 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^9} \, dx\)
  3.19.77 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^{10}} \, dx\)
  3.19.78 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^{11}} \, dx\)
  3.19.79 \(\int \frac {(a+b \sqrt [3]{x})^{15}}{x^{12}} \, dx\)
  3.19.80 \(\int \frac {x^3}{a+b \sqrt [3]{x}} \, dx\)
  3.19.81 \(\int \frac {x^2}{a+b \sqrt [3]{x}} \, dx\)
  3.19.82 \(\int \frac {x}{a+b \sqrt [3]{x}} \, dx\)
  3.19.83 \(\int \frac {1}{a+b \sqrt [3]{x}} \, dx\)
  3.19.84 \(\int \frac {1}{(a+b \sqrt [3]{x}) x} \, dx\)
  3.19.85 \(\int \frac {1}{(a+b \sqrt [3]{x}) x^2} \, dx\)
  3.19.86 \(\int \frac {1}{(a+b \sqrt [3]{x}) x^3} \, dx\)
  3.19.87 \(\int \frac {1}{(a+b \sqrt [3]{x}) x^4} \, dx\)
  3.19.88 \(\int \frac {1}{(2+b \sqrt [3]{x}) x} \, dx\)
  3.19.89 \(\int \frac {x^3}{(a+b \sqrt [3]{x})^2} \, dx\)
  3.19.90 \(\int \frac {x^2}{(a+b \sqrt [3]{x})^2} \, dx\)
  3.19.91 \(\int \frac {x}{(a+b \sqrt [3]{x})^2} \, dx\)
  3.19.92 \(\int \frac {1}{(a+b \sqrt [3]{x})^2} \, dx\)
  3.19.93 \(\int \frac {1}{(a+b \sqrt [3]{x})^2 x} \, dx\)
  3.19.94 \(\int \frac {1}{(a+b \sqrt [3]{x})^2 x^2} \, dx\)
  3.19.95 \(\int \frac {1}{(a+b \sqrt [3]{x})^2 x^3} \, dx\)
  3.19.96 \(\int \frac {1}{(a+b \sqrt [3]{x})^2 x^4} \, dx\)
  3.19.97 \(\int \frac {x^3}{(a+b \sqrt [3]{x})^3} \, dx\)
  3.19.98 \(\int \frac {x^2}{(a+b \sqrt [3]{x})^3} \, dx\)
  3.19.99 \(\int \frac {x}{(a+b \sqrt [3]{x})^3} \, dx\)
  3.19.100 \(\int \frac {1}{(a+b \sqrt [3]{x})^3} \, dx\)