3.15 Integrals 1401 to 1500

  3.15.1 \(\int \frac {1}{(a+\frac {b}{x})^{5/2} x^{5/2}} \, dx\)
  3.15.2 \(\int \frac {1}{(a+\frac {b}{x})^{5/2} x^{7/2}} \, dx\)
  3.15.3 \(\int \frac {1}{(a+\frac {b}{x})^{5/2} x^{9/2}} \, dx\)
  3.15.4 \(\int \frac {1}{(a+\frac {b}{x})^{5/2} x^{11/2}} \, dx\)
  3.15.5 \(\int (a+\frac {b}{x^2}) x^6 \, dx\)
  3.15.6 \(\int (a+\frac {b}{x^2}) x^5 \, dx\)
  3.15.7 \(\int (a+\frac {b}{x^2}) x^4 \, dx\)
  3.15.8 \(\int (a+\frac {b}{x^2}) x^3 \, dx\)
  3.15.9 \(\int (a+\frac {b}{x^2}) x^2 \, dx\)
  3.15.10 \(\int (a+\frac {b}{x^2}) x \, dx\)
  3.15.11 \(\int (a+\frac {b}{x^2}) \, dx\)
  3.15.12 \(\int \frac {a+\frac {b}{x^2}}{x} \, dx\)
  3.15.13 \(\int \frac {a+\frac {b}{x^2}}{x^2} \, dx\)
  3.15.14 \(\int \frac {a+\frac {b}{x^2}}{x^3} \, dx\)
  3.15.15 \(\int \frac {a+\frac {b}{x^2}}{x^4} \, dx\)
  3.15.16 \(\int \frac {a+\frac {b}{x^2}}{x^5} \, dx\)
  3.15.17 \(\int \frac {a+\frac {b}{x^2}}{x^6} \, dx\)
  3.15.18 \(\int (a+\frac {b}{x^2})^2 x^6 \, dx\)
  3.15.19 \(\int (a+\frac {b}{x^2})^2 x^5 \, dx\)
  3.15.20 \(\int (a+\frac {b}{x^2})^2 x^4 \, dx\)
  3.15.21 \(\int (a+\frac {b}{x^2})^2 x^3 \, dx\)
  3.15.22 \(\int (a+\frac {b}{x^2})^2 x^2 \, dx\)
  3.15.23 \(\int (a+\frac {b}{x^2})^2 x \, dx\)
  3.15.24 \(\int (a+\frac {b}{x^2})^2 \, dx\)
  3.15.25 \(\int \frac {(a+\frac {b}{x^2})^2}{x} \, dx\)
  3.15.26 \(\int \frac {(a+\frac {b}{x^2})^2}{x^2} \, dx\)
  3.15.27 \(\int \frac {(a+\frac {b}{x^2})^2}{x^3} \, dx\)
  3.15.28 \(\int \frac {(a+\frac {b}{x^2})^2}{x^4} \, dx\)
  3.15.29 \(\int \frac {(a+\frac {b}{x^2})^2}{x^5} \, dx\)
  3.15.30 \(\int \frac {(a+\frac {b}{x^2})^2}{x^6} \, dx\)
  3.15.31 \(\int (a+\frac {b}{x^2})^3 x^6 \, dx\)
  3.15.32 \(\int (a+\frac {b}{x^2})^3 x^5 \, dx\)
  3.15.33 \(\int (a+\frac {b}{x^2})^3 x^4 \, dx\)
  3.15.34 \(\int (a+\frac {b}{x^2})^3 x^3 \, dx\)
  3.15.35 \(\int (a+\frac {b}{x^2})^3 x^2 \, dx\)
  3.15.36 \(\int (a+\frac {b}{x^2})^3 x \, dx\)
  3.15.37 \(\int (a+\frac {b}{x^2})^3 \, dx\)
  3.15.38 \(\int \frac {(a+\frac {b}{x^2})^3}{x} \, dx\)
  3.15.39 \(\int \frac {(a+\frac {b}{x^2})^3}{x^2} \, dx\)
  3.15.40 \(\int \frac {(a+\frac {b}{x^2})^3}{x^3} \, dx\)
  3.15.41 \(\int \frac {(a+\frac {b}{x^2})^3}{x^4} \, dx\)
  3.15.42 \(\int \frac {(a+\frac {b}{x^2})^3}{x^5} \, dx\)
  3.15.43 \(\int \frac {(a+\frac {b}{x^2})^3}{x^6} \, dx\)
  3.15.44 \(\int \frac {x^6}{a+\frac {b}{x^2}} \, dx\)
  3.15.45 \(\int \frac {x^5}{a+\frac {b}{x^2}} \, dx\)
  3.15.46 \(\int \frac {x^4}{a+\frac {b}{x^2}} \, dx\)
  3.15.47 \(\int \frac {x^3}{a+\frac {b}{x^2}} \, dx\)
  3.15.48 \(\int \frac {x^2}{a+\frac {b}{x^2}} \, dx\)
  3.15.49 \(\int \frac {x}{a+\frac {b}{x^2}} \, dx\)
  3.15.50 \(\int \frac {1}{a+\frac {b}{x^2}} \, dx\)
  3.15.51 \(\int \frac {1}{(a+\frac {b}{x^2}) x} \, dx\)
  3.15.52 \(\int \frac {1}{(a+\frac {b}{x^2}) x^2} \, dx\)
  3.15.53 \(\int \frac {1}{(a+\frac {b}{x^2}) x^3} \, dx\)
  3.15.54 \(\int \frac {1}{(a+\frac {b}{x^2}) x^4} \, dx\)
  3.15.55 \(\int \frac {1}{(a+\frac {b}{x^2}) x^5} \, dx\)
  3.15.56 \(\int \frac {1}{(a+\frac {b}{x^2}) x^6} \, dx\)
  3.15.57 \(\int \frac {1}{(a+\frac {b}{x^2}) x^7} \, dx\)
  3.15.58 \(\int \frac {1}{(a+\frac {b}{x^2}) x^8} \, dx\)
  3.15.59 \(\int \frac {x^6}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.60 \(\int \frac {x^5}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.61 \(\int \frac {x^4}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.62 \(\int \frac {x^3}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.63 \(\int \frac {x^2}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.64 \(\int \frac {x}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.65 \(\int \frac {1}{(a+\frac {b}{x^2})^2} \, dx\)
  3.15.66 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x} \, dx\)
  3.15.67 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^2} \, dx\)
  3.15.68 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^3} \, dx\)
  3.15.69 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^4} \, dx\)
  3.15.70 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^5} \, dx\)
  3.15.71 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^6} \, dx\)
  3.15.72 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^7} \, dx\)
  3.15.73 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^8} \, dx\)
  3.15.74 \(\int \frac {1}{(a+\frac {b}{x^2})^2 x^9} \, dx\)
  3.15.75 \(\int \frac {x^5}{(a+\frac {b}{x^2})^3} \, dx\)
  3.15.76 \(\int \frac {x^4}{(a+\frac {b}{x^2})^3} \, dx\)
  3.15.77 \(\int \frac {x^3}{(a+\frac {b}{x^2})^3} \, dx\)
  3.15.78 \(\int \frac {x^2}{(a+\frac {b}{x^2})^3} \, dx\)
  3.15.79 \(\int \frac {x}{(a+\frac {b}{x^2})^3} \, dx\)
  3.15.80 \(\int \frac {1}{(a+\frac {b}{x^2})^3} \, dx\)
  3.15.81 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x} \, dx\)
  3.15.82 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^2} \, dx\)
  3.15.83 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^3} \, dx\)
  3.15.84 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^4} \, dx\)
  3.15.85 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^5} \, dx\)
  3.15.86 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^6} \, dx\)
  3.15.87 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^7} \, dx\)
  3.15.88 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^8} \, dx\)
  3.15.89 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^9} \, dx\)
  3.15.90 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^{10}} \, dx\)
  3.15.91 \(\int \frac {1}{(a+\frac {b}{x^2})^3 x^{11}} \, dx\)
  3.15.92 \(\int \sqrt {a+\frac {b}{x^2}} x^3 \, dx\)
  3.15.93 \(\int \sqrt {a+\frac {b}{x^2}} x^2 \, dx\)
  3.15.94 \(\int \sqrt {a+\frac {b}{x^2}} x \, dx\)
  3.15.95 \(\int \sqrt {a+\frac {b}{x^2}} \, dx\)
  3.15.96 \(\int \frac {\sqrt {a+\frac {b}{x^2}}}{x} \, dx\)
  3.15.97 \(\int \frac {\sqrt {a+\frac {b}{x^2}}}{x^2} \, dx\)
  3.15.98 \(\int \frac {\sqrt {a+\frac {b}{x^2}}}{x^3} \, dx\)
  3.15.99 \(\int \frac {\sqrt {a+\frac {b}{x^2}}}{x^4} \, dx\)
  3.15.100 \(\int (a+\frac {b}{x^2})^{3/2} x^3 \, dx\)