3.14 Integrals 1301 to 1400

  3.14.1 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^3} \, dx\)
  3.14.2 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^4} \, dx\)
  3.14.3 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^5} \, dx\)
  3.14.4 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^6} \, dx\)
  3.14.5 \(\int \frac {\sqrt {-1+x}}{(1+x)^2} \, dx\)
  3.14.6 \(\int \frac {\sqrt {-1+x}}{(1+x)^3} \, dx\)
  3.14.7 \(\int \frac {(a+b x)^5}{\sqrt {c+d x}} \, dx\)
  3.14.8 \(\int \frac {(a+b x)^4}{\sqrt {c+d x}} \, dx\)
  3.14.9 \(\int \frac {(a+b x)^3}{\sqrt {c+d x}} \, dx\)
  3.14.10 \(\int \frac {(a+b x)^2}{\sqrt {c+d x}} \, dx\)
  3.14.11 \(\int \frac {a+b x}{\sqrt {c+d x}} \, dx\)
  3.14.12 \(\int \frac {1}{\sqrt {c+d x}} \, dx\)
  3.14.13 \(\int \frac {1}{(a+b x) \sqrt {c+d x}} \, dx\)
  3.14.14 \(\int \frac {1}{(a+b x)^2 \sqrt {c+d x}} \, dx\)
  3.14.15 \(\int \frac {1}{(a+b x)^3 \sqrt {c+d x}} \, dx\)
  3.14.16 \(\int \frac {1}{(a+b x)^4 \sqrt {c+d x}} \, dx\)
  3.14.17 \(\int \frac {1}{(a+b x)^5 \sqrt {c+d x}} \, dx\)
  3.14.18 \(\int \frac {(a+b x)^5}{(c+d x)^{3/2}} \, dx\)
  3.14.19 \(\int \frac {(a+b x)^4}{(c+d x)^{3/2}} \, dx\)
  3.14.20 \(\int \frac {(a+b x)^3}{(c+d x)^{3/2}} \, dx\)
  3.14.21 \(\int \frac {(a+b x)^2}{(c+d x)^{3/2}} \, dx\)
  3.14.22 \(\int \frac {a+b x}{(c+d x)^{3/2}} \, dx\)
  3.14.23 \(\int \frac {1}{(c+d x)^{3/2}} \, dx\)
  3.14.24 \(\int \frac {1}{(a+b x) (c+d x)^{3/2}} \, dx\)
  3.14.25 \(\int \frac {1}{(a+b x)^2 (c+d x)^{3/2}} \, dx\)
  3.14.26 \(\int \frac {1}{(a+b x)^3 (c+d x)^{3/2}} \, dx\)
  3.14.27 \(\int \frac {1}{(a+b x)^4 (c+d x)^{3/2}} \, dx\)
  3.14.28 \(\int \frac {(a+b x)^5}{(c+d x)^{5/2}} \, dx\)
  3.14.29 \(\int \frac {(a+b x)^4}{(c+d x)^{5/2}} \, dx\)
  3.14.30 \(\int \frac {(a+b x)^3}{(c+d x)^{5/2}} \, dx\)
  3.14.31 \(\int \frac {(a+b x)^2}{(c+d x)^{5/2}} \, dx\)
  3.14.32 \(\int \frac {a+b x}{(c+d x)^{5/2}} \, dx\)
  3.14.33 \(\int \frac {1}{(c+d x)^{5/2}} \, dx\)
  3.14.34 \(\int \frac {1}{(a+b x) (c+d x)^{5/2}} \, dx\)
  3.14.35 \(\int \frac {1}{(a+b x)^2 (c+d x)^{5/2}} \, dx\)
  3.14.36 \(\int \frac {1}{(a+b x)^3 (c+d x)^{5/2}} \, dx\)
  3.14.37 \(\int \frac {1}{(a+b x)^4 (c+d x)^{5/2}} \, dx\)
  3.14.38 \(\int (a+b x)^5 (a c+b c x)^{3/2} \, dx\)
  3.14.39 \(\int (a+b x)^5 \sqrt {a c+b c x} \, dx\)
  3.14.40 \(\int \frac {(a+b x)^5}{\sqrt {a c+b c x}} \, dx\)
  3.14.41 \(\int \frac {(a+b x)^5}{(a c+b c x)^{3/2}} \, dx\)
  3.14.42 \(\int \frac {(a+b x)^5}{(a c+b c x)^{5/2}} \, dx\)
  3.14.43 \(\int \frac {(a+b x)^5}{(a c+b c x)^{7/2}} \, dx\)
  3.14.44 \(\int \frac {(a+b x)^5}{(a c+b c x)^{9/2}} \, dx\)
  3.14.45 \(\int \frac {(a+b x)^5}{(a c+b c x)^{11/2}} \, dx\)
  3.14.46 \(\int \frac {(a+b x)^5}{(a c+b c x)^{13/2}} \, dx\)
  3.14.47 \(\int \frac {1}{(-2+x) \sqrt {2+x}} \, dx\)
  3.14.48 \(\int \frac {1}{(2+3 x) \sqrt {1+5 x}} \, dx\)
  3.14.49 \(\int \frac {\sqrt [3]{1-x}}{1+x} \, dx\)
  3.14.50 \(\int \sqrt [3]{3-2 x} (7+x) \, dx\)
  3.14.51 \(\int \sqrt [3]{1-x} (1+x)^2 \, dx\)
  3.14.52 \(\int \frac {1}{(a+b x) \sqrt [3]{c+d x}} \, dx\)
  3.14.53 \(\int \frac {1}{(a+b x) (c+d x)^{2/3}} \, dx\)
  3.14.54 \(\int (a+b x)^{7/2} \sqrt {c+d x} \, dx\)
  3.14.55 \(\int (a+b x)^{5/2} \sqrt {c+d x} \, dx\)
  3.14.56 \(\int (a+b x)^{3/2} \sqrt {c+d x} \, dx\)
  3.14.57 \(\int \sqrt {a+b x} \sqrt {c+d x} \, dx\)
  3.14.58 \(\int \frac {\sqrt {c+d x}}{\sqrt {a+b x}} \, dx\)
  3.14.59 \(\int \frac {\sqrt {c+d x}}{(a+b x)^{3/2}} \, dx\)
  3.14.60 \(\int \frac {\sqrt {c+d x}}{(a+b x)^{5/2}} \, dx\)
  3.14.61 \(\int \frac {\sqrt {c+d x}}{(a+b x)^{7/2}} \, dx\)
  3.14.62 \(\int \frac {\sqrt {c+d x}}{(a+b x)^{9/2}} \, dx\)
  3.14.63 \(\int \frac {\sqrt {c+d x}}{(a+b x)^{11/2}} \, dx\)
  3.14.64 \(\int \frac {\sqrt {c+d x}}{(a+b x)^{13/2}} \, dx\)
  3.14.65 \(\int (a+b x)^{5/2} (c+d x)^{3/2} \, dx\)
  3.14.66 \(\int (a+b x)^{3/2} (c+d x)^{3/2} \, dx\)
  3.14.67 \(\int \sqrt {a+b x} (c+d x)^{3/2} \, dx\)
  3.14.68 \(\int \frac {(c+d x)^{3/2}}{\sqrt {a+b x}} \, dx\)
  3.14.69 \(\int \frac {(c+d x)^{3/2}}{(a+b x)^{3/2}} \, dx\)
  3.14.70 \(\int \frac {(c+d x)^{3/2}}{(a+b x)^{5/2}} \, dx\)
  3.14.71 \(\int \frac {(c+d x)^{3/2}}{(a+b x)^{7/2}} \, dx\)
  3.14.72 \(\int \frac {(c+d x)^{3/2}}{(a+b x)^{9/2}} \, dx\)
  3.14.73 \(\int \frac {(c+d x)^{3/2}}{(a+b x)^{11/2}} \, dx\)
  3.14.74 \(\int \frac {(c+d x)^{3/2}}{(a+b x)^{13/2}} \, dx\)
  3.14.75 \(\int (a+b x)^{5/2} (c+d x)^{5/2} \, dx\)
  3.14.76 \(\int (a+b x)^{3/2} (c+d x)^{5/2} \, dx\)
  3.14.77 \(\int \sqrt {a+b x} (c+d x)^{5/2} \, dx\)
  3.14.78 \(\int \frac {(c+d x)^{5/2}}{\sqrt {a+b x}} \, dx\)
  3.14.79 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{3/2}} \, dx\)
  3.14.80 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx\)
  3.14.81 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{7/2}} \, dx\)
  3.14.82 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{9/2}} \, dx\)
  3.14.83 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{11/2}} \, dx\)
  3.14.84 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{13/2}} \, dx\)
  3.14.85 \(\int \frac {(c+d x)^{5/2}}{(a+b x)^{15/2}} \, dx\)
  3.14.86 \(\int \frac {(a+b x)^{7/2}}{\sqrt {c+d x}} \, dx\)
  3.14.87 \(\int \frac {(a+b x)^{5/2}}{\sqrt {c+d x}} \, dx\)
  3.14.88 \(\int \frac {(a+b x)^{3/2}}{\sqrt {c+d x}} \, dx\)
  3.14.89 \(\int \frac {\sqrt {a+b x}}{\sqrt {c+d x}} \, dx\)
  3.14.90 \(\int \frac {1}{\sqrt {a+b x} \sqrt {c+d x}} \, dx\)
  3.14.91 \(\int \frac {1}{(a+b x)^{3/2} \sqrt {c+d x}} \, dx\)
  3.14.92 \(\int \frac {1}{(a+b x)^{5/2} \sqrt {c+d x}} \, dx\)
  3.14.93 \(\int \frac {1}{(a+b x)^{7/2} \sqrt {c+d x}} \, dx\)
  3.14.94 \(\int \frac {1}{(a+b x)^{9/2} \sqrt {c+d x}} \, dx\)
  3.14.95 \(\int \frac {1}{(a+b x)^{11/2} \sqrt {c+d x}} \, dx\)
  3.14.96 \(\int \frac {(a+b x)^{7/2}}{(c+d x)^{3/2}} \, dx\)
  3.14.97 \(\int \frac {(a+b x)^{5/2}}{(c+d x)^{3/2}} \, dx\)
  3.14.98 \(\int \frac {(a+b x)^{3/2}}{(c+d x)^{3/2}} \, dx\)
  3.14.99 \(\int \frac {\sqrt {a+b x}}{(c+d x)^{3/2}} \, dx\)
  3.14.100 \(\int \frac {1}{\sqrt {a+b x} (c+d x)^{3/2}} \, dx\)