3.7.1 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x \, dx\)
  3.7.2 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x} \, dx\)
  3.7.3 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x^3} \, dx\)
  3.7.4 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x^5} \, dx\)
  3.7.5 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x^7} \, dx\)
  3.7.6 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x^9} \, dx\)
  3.7.7 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x^{12} \, dx\)
  3.7.8 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x^{10} \, dx\)
  3.7.9 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x^8 \, dx\)
  3.7.10 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x^6 \, dx\)
  3.7.11 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x^4 \, dx\)
  3.7.12 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} x^2 \, dx\)
  3.7.13 \(\int (a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2} \, dx\)
  3.7.14 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x^2} \, dx\)
  3.7.15 \(\int \frac {(a+\frac {b}{x^2}) (c+\frac {d}{x^2})^{3/2}}{x^4} \, dx\)
  3.7.16 \(\int \frac {(a+\frac {b}{x^2}) x^3}{\sqrt {c+\frac {d}{x^2}}} \, dx\)
  3.7.17 \(\int \frac {(a+\frac {b}{x^2}) x}{\sqrt {c+\frac {d}{x^2}}} \, dx\)
  3.7.18 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}} x} \, dx\)
  3.7.19 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}} x^3} \, dx\)
  3.7.20 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}} x^5} \, dx\)
  3.7.21 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}} x^7} \, dx\)
  3.7.22 \(\int \frac {(a+\frac {b}{x^2}) x^4}{\sqrt {c+\frac {d}{x^2}}} \, dx\)
  3.7.23 \(\int \frac {(a+\frac {b}{x^2}) x^2}{\sqrt {c+\frac {d}{x^2}}} \, dx\)
  3.7.24 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}}} \, dx\)
  3.7.25 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}} x^2} \, dx\)
  3.7.26 \(\int \frac {a+\frac {b}{x^2}}{\sqrt {c+\frac {d}{x^2}} x^4} \, dx\)
  3.7.27 \(\int \frac {(a+\frac {b}{x^2}) x^3}{(c+\frac {d}{x^2})^{3/2}} \, dx\)
  3.7.28 \(\int \frac {(a+\frac {b}{x^2}) x}{(c+\frac {d}{x^2})^{3/2}} \, dx\)
  3.7.29 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x} \, dx\)
  3.7.30 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^3} \, dx\)
  3.7.31 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^5} \, dx\)
  3.7.32 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^7} \, dx\)
  3.7.33 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^9} \, dx\)
  3.7.34 \(\int \frac {(a+\frac {b}{x^2}) x^4}{(c+\frac {d}{x^2})^{3/2}} \, dx\)
  3.7.35 \(\int \frac {(a+\frac {b}{x^2}) x^2}{(c+\frac {d}{x^2})^{3/2}} \, dx\)
  3.7.36 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2}} \, dx\)
  3.7.37 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^2} \, dx\)
  3.7.38 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^4} \, dx\)
  3.7.39 \(\int \frac {a+\frac {b}{x^2}}{(c+\frac {d}{x^2})^{3/2} x^6} \, dx\)
  3.7.40 \(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{5/2} \, dx\)
  3.7.41 \(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{3/2} \, dx\)
  3.7.42 \(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} \sqrt {x} \, dx\)
  3.7.43 \(\int \frac {\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{\sqrt {x}} \, dx\)
  3.7.44 \(\int \frac {\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{3/2}} \, dx\)
  3.7.45 \(\int \frac {\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{5/2}} \, dx\)
  3.7.46 \(\int \frac {\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{7/2}} \, dx\)
  3.7.47 \(\int \frac {\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{9/2}} \, dx\)
  3.7.48 \(\int \frac {\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{11/2}} \, dx\)
  3.7.49 \(\int \frac {x^{5/2}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\)
  3.7.50 \(\int \frac {x^{3/2}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\)
  3.7.51 \(\int \frac {\sqrt {x}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\)
  3.7.52 \(\int \frac {1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} \sqrt {x}} \, dx\)
  3.7.53 \(\int \frac {1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{3/2}} \, dx\)
  3.7.54 \(\int \frac {1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{5/2}} \, dx\)
  3.7.55 \(\int \frac {1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{7/2}} \, dx\)
  3.7.56 \(\int \frac {1+x^6}{x (1-x^6)} \, dx\)
  3.7.57 \(\int (e x)^m (a+b x^n)^p (a (1+m)+b (1+m+n+n p) x^n) \, dx\)
  3.7.58 \(\int \frac {1}{x (a+b x^n) (c+d x^n)} \, dx\)
  3.7.59 \(\int \frac {1}{x (a+b x^n)^2 (c+d x^n)} \, dx\)
  3.7.60 \(\int \frac {x^{-1+2 n} (a+b x^n)^3}{c+d x^n} \, dx\)
  3.7.61 \(\int \frac {x^{-1+2 n} (a+b x^n)^2}{c+d x^n} \, dx\)
  3.7.62 \(\int \frac {x^{-1+2 n} (a+b x^n)}{c+d x^n} \, dx\)
  3.7.63 \(\int \frac {x^{-1+2 n}}{(a+b x^n) (c+d x^n)} \, dx\)
  3.7.64 \(\int \frac {x^{-1+2 n}}{(a+b x^n)^2 (c+d x^n)} \, dx\)
  3.7.65 \(\int \frac {x^{-1+2 n}}{(a+b x^n)^3 (c+d x^n)} \, dx\)
  3.7.66 \(\int \frac {x^{-1+3 n} (a+b x^n)^3}{c+d x^n} \, dx\)
  3.7.67 \(\int \frac {x^{-1+3 n} (a+b x^n)^2}{c+d x^n} \, dx\)
  3.7.68 \(\int \frac {x^{-1+3 n} (a+b x^n)}{c+d x^n} \, dx\)
  3.7.69 \(\int \frac {x^{-1+3 n}}{(a+b x^n) (c+d x^n)} \, dx\)
  3.7.70 \(\int \frac {x^{-1+3 n}}{(a+b x^n)^2 (c+d x^n)} \, dx\)
  3.7.71 \(\int \frac {x^{-1+3 n}}{(a+b x^n)^3 (c+d x^n)} \, dx\)
  3.7.72 \(\int x^{13} (b+c x)^{13} (b+2 c x) \, dx\)
  3.7.73 \(\int x^{27} (b+c x^2)^{13} (b+2 c x^2) \, dx\)
  3.7.74 \(\int x^{41} (b+c x^3)^{13} (b+2 c x^3) \, dx\)
  3.7.75 \(\int x^{-1+14 n} (b+c x^n)^{13} (b+2 c x^n) \, dx\)
  3.7.76 \(\int x^{-1+m} (a+b x^n)^{-1+p} (a m+b (m+n p) x^n) \, dx\)
  3.7.77 \(\int \frac {b+2 c x}{x (b+c x)} \, dx\)
  3.7.78 \(\int \frac {b+2 c x^2}{x (b+c x^2)} \, dx\)
  3.7.79 \(\int \frac {b+2 c x^3}{x (b+c x^3)} \, dx\)
  3.7.80 \(\int \frac {b+2 c x^n}{x (b+c x^n)} \, dx\)
  3.7.81 \(\int \frac {b+2 c x}{x^8 (b+c x)^8} \, dx\)
  3.7.82 \(\int \frac {b+2 c x^2}{x^{15} (b+c x^2)^8} \, dx\)
  3.7.83 \(\int \frac {b+2 c x^3}{x^{22} (b+c x^3)^8} \, dx\)
  3.7.84 \(\int \frac {x^{-1-7 n} (b+2 c x^n)}{(b+c x^n)^8} \, dx\)
  3.7.85 \(\int \frac {x^{31} \sqrt {1+x^{16}}}{1-x^{16}} \, dx\)
  3.7.86 \(\int \frac {\sqrt {c+\frac {d}{x}}}{\sqrt {a+\frac {b}{x}} x} \, dx\)
  3.7.87 \(\int \frac {x^{-1+2 n} (a+b x^n)^{5/2}}{\sqrt {c+d x^n}} \, dx\)
  3.7.88 \(\int \frac {x^{-1+2 n} (a+b x^n)^{3/2}}{\sqrt {c+d x^n}} \, dx\)
  3.7.89 \(\int \frac {x^{-1+2 n} \sqrt {a+b x^n}}{\sqrt {c+d x^n}} \, dx\)
  3.7.90 \(\int \frac {x^{-1+2 n}}{\sqrt {a+b x^n} \sqrt {c+d x^n}} \, dx\)
  3.7.91 \(\int \frac {x^{-1+2 n}}{(a+b x^n)^{3/2} \sqrt {c+d x^n}} \, dx\)
  3.7.92 \(\int \frac {x^{-1+2 n}}{(a+b x^n)^{5/2} \sqrt {c+d x^n}} \, dx\)
  3.7.93 \(\int \frac {x^{-1+3 n} (a+b x^n)^{5/2}}{\sqrt {c+d x^n}} \, dx\)
  3.7.94 \(\int \frac {x^{-1+3 n} (a+b x^n)^{3/2}}{\sqrt {c+d x^n}} \, dx\)
  3.7.95 \(\int \frac {x^{-1+3 n} \sqrt {a+b x^n}}{\sqrt {c+d x^n}} \, dx\)
  3.7.96 \(\int \frac {x^{-1+3 n}}{\sqrt {a+b x^n} \sqrt {c+d x^n}} \, dx\)
  3.7.97 \(\int \frac {x^{-1+3 n}}{(a+b x^n)^{3/2} \sqrt {c+d x^n}} \, dx\)
  3.7.98 \(\int \frac {x^{-1+3 n}}{(a+b x^n)^{5/2} \sqrt {c+d x^n}} \, dx\)
  3.7.99 \(\int x^p (b+c x)^p (b+2 c x) \, dx\)
  3.7.100 \(\int x^{-1+2 (1+p)} (b+c x^2)^p (b+2 c x^2) \, dx\)