3.6 Integrals 501 to 600

  3.6.1 \(\int \frac {\sqrt {a-b x}}{x^{3/2}} \, dx\)
  3.6.2 \(\int \frac {\sqrt {a-b x}}{x^{5/2}} \, dx\)
  3.6.3 \(\int \frac {\sqrt {a-b x}}{x^{7/2}} \, dx\)
  3.6.4 \(\int \frac {\sqrt {a-b x}}{x^{9/2}} \, dx\)
  3.6.5 \(\int x^{5/2} \sqrt {2+b x} \, dx\)
  3.6.6 \(\int x^{3/2} \sqrt {2+b x} \, dx\)
  3.6.7 \(\int \sqrt {x} \sqrt {2+b x} \, dx\)
  3.6.8 \(\int \frac {\sqrt {2+b x}}{\sqrt {x}} \, dx\)
  3.6.9 \(\int \frac {\sqrt {2+b x}}{x^{3/2}} \, dx\)
  3.6.10 \(\int \frac {\sqrt {2+b x}}{x^{5/2}} \, dx\)
  3.6.11 \(\int \frac {\sqrt {2+b x}}{x^{7/2}} \, dx\)
  3.6.12 \(\int \frac {\sqrt {2+b x}}{x^{9/2}} \, dx\)
  3.6.13 \(\int x^{5/2} \sqrt {2-b x} \, dx\)
  3.6.14 \(\int x^{3/2} \sqrt {2-b x} \, dx\)
  3.6.15 \(\int \sqrt {x} \sqrt {2-b x} \, dx\)
  3.6.16 \(\int \frac {\sqrt {2-b x}}{\sqrt {x}} \, dx\)
  3.6.17 \(\int \frac {\sqrt {2-b x}}{x^{3/2}} \, dx\)
  3.6.18 \(\int \frac {\sqrt {2-b x}}{x^{5/2}} \, dx\)
  3.6.19 \(\int \frac {\sqrt {2-b x}}{x^{7/2}} \, dx\)
  3.6.20 \(\int \frac {\sqrt {2-b x}}{x^{9/2}} \, dx\)
  3.6.21 \(\int x^{5/2} (a+b x)^{3/2} \, dx\)
  3.6.22 \(\int x^{3/2} (a+b x)^{3/2} \, dx\)
  3.6.23 \(\int \sqrt {x} (a+b x)^{3/2} \, dx\)
  3.6.24 \(\int \frac {(a+b x)^{3/2}}{\sqrt {x}} \, dx\)
  3.6.25 \(\int \frac {(a+b x)^{3/2}}{x^{3/2}} \, dx\)
  3.6.26 \(\int \frac {(a+b x)^{3/2}}{x^{5/2}} \, dx\)
  3.6.27 \(\int x^{5/2} (a-b x)^{3/2} \, dx\)
  3.6.28 \(\int x^{3/2} (a-b x)^{3/2} \, dx\)
  3.6.29 \(\int \sqrt {x} (a-b x)^{3/2} \, dx\)
  3.6.30 \(\int \frac {(a-b x)^{3/2}}{\sqrt {x}} \, dx\)
  3.6.31 \(\int \frac {(a-b x)^{3/2}}{x^{3/2}} \, dx\)
  3.6.32 \(\int \frac {(a-b x)^{3/2}}{x^{5/2}} \, dx\)
  3.6.33 \(\int x^{5/2} (2+b x)^{3/2} \, dx\)
  3.6.34 \(\int x^{3/2} (2+b x)^{3/2} \, dx\)
  3.6.35 \(\int \sqrt {x} (2+b x)^{3/2} \, dx\)
  3.6.36 \(\int \frac {(2+b x)^{3/2}}{\sqrt {x}} \, dx\)
  3.6.37 \(\int \frac {(2+b x)^{3/2}}{x^{3/2}} \, dx\)
  3.6.38 \(\int \frac {(2+b x)^{3/2}}{x^{5/2}} \, dx\)
  3.6.39 \(\int x^{5/2} (2-b x)^{3/2} \, dx\)
  3.6.40 \(\int x^{3/2} (2-b x)^{3/2} \, dx\)
  3.6.41 \(\int \sqrt {x} (2-b x)^{3/2} \, dx\)
  3.6.42 \(\int \frac {(2-b x)^{3/2}}{\sqrt {x}} \, dx\)
  3.6.43 \(\int \frac {(2-b x)^{3/2}}{x^{3/2}} \, dx\)
  3.6.44 \(\int \frac {(2-b x)^{3/2}}{x^{5/2}} \, dx\)
  3.6.45 \(\int x^{5/2} (a+b x)^{5/2} \, dx\)
  3.6.46 \(\int x^{3/2} (a+b x)^{5/2} \, dx\)
  3.6.47 \(\int \sqrt {x} (a+b x)^{5/2} \, dx\)
  3.6.48 \(\int \frac {(a+b x)^{5/2}}{\sqrt {x}} \, dx\)
  3.6.49 \(\int \frac {(a+b x)^{5/2}}{x^{3/2}} \, dx\)
  3.6.50 \(\int \frac {(a+b x)^{5/2}}{x^{5/2}} \, dx\)
  3.6.51 \(\int x^{5/2} (a-b x)^{5/2} \, dx\)
  3.6.52 \(\int x^{3/2} (a-b x)^{5/2} \, dx\)
  3.6.53 \(\int \sqrt {x} (a-b x)^{5/2} \, dx\)
  3.6.54 \(\int \frac {(a-b x)^{5/2}}{\sqrt {x}} \, dx\)
  3.6.55 \(\int \frac {(a-b x)^{5/2}}{x^{3/2}} \, dx\)
  3.6.56 \(\int \frac {(a-b x)^{5/2}}{x^{5/2}} \, dx\)
  3.6.57 \(\int x^{5/2} (2+b x)^{5/2} \, dx\)
  3.6.58 \(\int x^{3/2} (2+b x)^{5/2} \, dx\)
  3.6.59 \(\int \sqrt {x} (2+b x)^{5/2} \, dx\)
  3.6.60 \(\int \frac {(2+b x)^{5/2}}{\sqrt {x}} \, dx\)
  3.6.61 \(\int \frac {(2+b x)^{5/2}}{x^{3/2}} \, dx\)
  3.6.62 \(\int \frac {(2+b x)^{5/2}}{x^{5/2}} \, dx\)
  3.6.63 \(\int x^{5/2} (2-b x)^{5/2} \, dx\)
  3.6.64 \(\int x^{3/2} (2-b x)^{5/2} \, dx\)
  3.6.65 \(\int \sqrt {x} (2-b x)^{5/2} \, dx\)
  3.6.66 \(\int \frac {(2-b x)^{5/2}}{\sqrt {x}} \, dx\)
  3.6.67 \(\int \frac {(2-b x)^{5/2}}{x^{3/2}} \, dx\)
  3.6.68 \(\int \frac {(2-b x)^{5/2}}{x^{5/2}} \, dx\)
  3.6.69 \(\int \frac {x^{5/2}}{\sqrt {a+b x}} \, dx\)
  3.6.70 \(\int \frac {x^{3/2}}{\sqrt {a+b x}} \, dx\)
  3.6.71 \(\int \frac {\sqrt {x}}{\sqrt {a+b x}} \, dx\)
  3.6.72 \(\int \frac {1}{\sqrt {x} \sqrt {a+b x}} \, dx\)
  3.6.73 \(\int \frac {1}{x^{3/2} \sqrt {a+b x}} \, dx\)
  3.6.74 \(\int \frac {1}{x^{5/2} \sqrt {a+b x}} \, dx\)
  3.6.75 \(\int \frac {1}{x^{7/2} \sqrt {a+b x}} \, dx\)
  3.6.76 \(\int \frac {1}{x^{9/2} \sqrt {a+b x}} \, dx\)
  3.6.77 \(\int \frac {x^{5/2}}{(a+b x)^{3/2}} \, dx\)
  3.6.78 \(\int \frac {x^{3/2}}{(a+b x)^{3/2}} \, dx\)
  3.6.79 \(\int \frac {\sqrt {x}}{(a+b x)^{3/2}} \, dx\)
  3.6.80 \(\int \frac {1}{\sqrt {x} (a+b x)^{3/2}} \, dx\)
  3.6.81 \(\int \frac {1}{x^{3/2} (a+b x)^{3/2}} \, dx\)
  3.6.82 \(\int \frac {1}{x^{5/2} (a+b x)^{3/2}} \, dx\)
  3.6.83 \(\int \frac {1}{x^{7/2} (a+b x)^{3/2}} \, dx\)
  3.6.84 \(\int \frac {x^{5/2}}{(a+b x)^{5/2}} \, dx\)
  3.6.85 \(\int \frac {x^{3/2}}{(a+b x)^{5/2}} \, dx\)
  3.6.86 \(\int \frac {\sqrt {x}}{(a+b x)^{5/2}} \, dx\)
  3.6.87 \(\int \frac {1}{\sqrt {x} (a+b x)^{5/2}} \, dx\)
  3.6.88 \(\int \frac {1}{x^{3/2} (a+b x)^{5/2}} \, dx\)
  3.6.89 \(\int \frac {1}{x^{5/2} (a+b x)^{5/2}} \, dx\)
  3.6.90 \(\int \frac {x^{5/2}}{\sqrt {a-b x}} \, dx\)
  3.6.91 \(\int \frac {x^{3/2}}{\sqrt {a-b x}} \, dx\)
  3.6.92 \(\int \frac {\sqrt {x}}{\sqrt {a-b x}} \, dx\)
  3.6.93 \(\int \frac {1}{\sqrt {x} \sqrt {a-b x}} \, dx\)
  3.6.94 \(\int \frac {1}{x^{3/2} \sqrt {a-b x}} \, dx\)
  3.6.95 \(\int \frac {1}{x^{5/2} \sqrt {a-b x}} \, dx\)
  3.6.96 \(\int \frac {x^{5/2}}{(a-b x)^{3/2}} \, dx\)
  3.6.97 \(\int \frac {x^{3/2}}{(a-b x)^{3/2}} \, dx\)
  3.6.98 \(\int \frac {\sqrt {x}}{(a-b x)^{3/2}} \, dx\)
  3.6.99 \(\int \frac {1}{\sqrt {x} (a-b x)^{3/2}} \, dx\)
  3.6.100 \(\int \frac {1}{x^{3/2} (a-b x)^{3/2}} \, dx\)