3.5.1 \(\int (a+b \sqrt {c+d x})^p \, dx\)
  3.5.2 \(\int \frac {(a+b (c x)^n)^{5/2}}{x} \, dx\)
  3.5.3 \(\int \frac {(a+b (c x)^n)^{3/2}}{x} \, dx\)
  3.5.4 \(\int \frac {\sqrt {a+b (c x)^n}}{x} \, dx\)
  3.5.5 \(\int \frac {1}{x \sqrt {a+b (c x)^n}} \, dx\)
  3.5.6 \(\int \frac {1}{x (a+b (c x)^n)^{3/2}} \, dx\)
  3.5.7 \(\int \frac {1}{x (a+b (c x)^n)^{5/2}} \, dx\)
  3.5.8 \(\int \frac {(-a+b (c x)^n)^{5/2}}{x} \, dx\)
  3.5.9 \(\int \frac {(-a+b (c x)^n)^{3/2}}{x} \, dx\)
  3.5.10 \(\int \frac {\sqrt {-a+b (c x)^n}}{x} \, dx\)
  3.5.11 \(\int \frac {1}{x \sqrt {-a+b (c x)^n}} \, dx\)
  3.5.12 \(\int \frac {1}{x (-a+b (c x)^n)^{3/2}} \, dx\)
  3.5.13 \(\int \frac {1}{x (-a+b (c x)^n)^{5/2}} \, dx\)
  3.5.14 \(\int \frac {1}{x \sqrt {a+b x}} \, dx\)
  3.5.15 \(\int \frac {1}{x \sqrt {a+b (c x)^m}} \, dx\)
  3.5.16 \(\int \frac {1}{x \sqrt {a+b (c (d x)^m)^n}} \, dx\)
  3.5.17 \(\int \frac {1}{x \sqrt {a+b (c (d (e x)^m)^n)^p}} \, dx\)
  3.5.18 \(\int \frac {1}{x \sqrt {a+b (c (d (e (f x)^m)^n)^p)^q}} \, dx\)
  3.5.19 \(\int \frac {\sqrt {-1+\frac {1}{x^2}} (-1+x^2)^3}{x} \, dx\)
  3.5.20 \(\int \frac {\sqrt {-1+\frac {1}{x^2}} (-1+x^2)^2}{x} \, dx\)
  3.5.21 \(\int \frac {\sqrt {-1+\frac {1}{x^2}} (-1+x^2)}{x} \, dx\)
  3.5.22 \(\int \frac {\sqrt {-1+\frac {1}{x^2}}}{x (-1+x^2)} \, dx\)
  3.5.23 \(\int \frac {\sqrt {-1+\frac {1}{x^2}}}{x (-1+x^2)^2} \, dx\)
  3.5.24 \(\int \frac {\sqrt {-1+\frac {1}{x^2}}}{x (-1+x^2)^3} \, dx\)
  3.5.25 \(\int \frac {\sqrt {1+\frac {1}{x^2}} x}{(1+x^2)^2} \, dx\)
  3.5.26 \(\int \frac {1}{\sqrt {1+\frac {1}{x^2}} x (1+x^2)} \, dx\)
  3.5.27 \(\int \frac {x}{a+b x^2+\sqrt {a+b x^2}} \, dx\)
  3.5.28 \(\int \frac {x}{x^2-\sqrt [3]{x^2}} \, dx\)
  3.5.29 \(\int x (1+x^2)^3 \sqrt {2+2 x^2+x^4} \, dx\)
  3.5.30 \(\int x^5 \sqrt {1-x^3} (1+x^9)^2 \, dx\)
  3.5.31 \(\int (\frac {x}{(a+b x^2)^{3/2}}+\frac {x}{(1+x^2) \sqrt {a+b x^2}}) \, dx\)
  3.5.32 \(\int \frac {x (1+a+x^2+b x^2)}{(1+x^2) (a+b x^2)^{3/2}} \, dx\)
  3.5.33 \(\int (\frac {x}{(a+b x^2)^{5/2}}+\frac {x}{(a+b x^2)^{3/2}}+\frac {x}{(1+x^2) \sqrt {a+b x^2}}) \, dx\)
  3.5.34 \(\int \frac {x (1+a+a^2+x^2+a x^2+b x^2+2 a b x^2+b x^4+b^2 x^4)}{(1+x^2) (a+b x^2)^{5/2}} \, dx\)
  3.5.35 \(\int \frac {1}{\sqrt {\sqrt {x}+x}} \, dx\)
  3.5.36 \(\int \sqrt {\sqrt {x}+x} \, dx\)
  3.5.37 \(\int \sqrt {-x} (\sqrt {-x}+x) \, dx\)
  3.5.38 \(\int \frac {5+\sqrt [4]{x}}{-6+x} \, dx\)
  3.5.39 \(\int \frac {1}{4+\sqrt {4-x}-x} \, dx\)
  3.5.40 \(\int \frac {1}{1+x-\sqrt {2+x}} \, dx\)
  3.5.41 \(\int \frac {1}{4+x+\sqrt {1+x}} \, dx\)
  3.5.42 \(\int \frac {1}{x-\sqrt {1+x}} \, dx\)
  3.5.43 \(\int \frac {1}{x-\sqrt {2+x}} \, dx\)
  3.5.44 \(\int \frac {1}{-\sqrt {1-x}+x} \, dx\)
  3.5.45 \(\int \sqrt {1+\sqrt {x}+x} \, dx\)
  3.5.46 \(\int \sqrt {1+x+\sqrt {1+x}} \, dx\)
  3.5.47 \(\int \sqrt {\sqrt {-1+x}+x} \, dx\)
  3.5.48 \(\int \sqrt {2 x+\sqrt {-1+2 x}} \, dx\)
  3.5.49 \(\int \sqrt {3 x+\sqrt {-7+8 x}} \, dx\)
  3.5.50 \(\int \frac {1}{\sqrt {x+\sqrt {1+x}}} \, dx\)
  3.5.51 \(\int \frac {1+x}{4+x+\sqrt {-9+6 x}} \, dx\)
  3.5.52 \(\int \frac {12-x}{4+x+\sqrt {-9+6 x}} \, dx\)
  3.5.53 \(\int \frac {-1+x^3}{\sqrt {x} (1+x^2)} \, dx\)
  3.5.54 \(\int \frac {1}{2 \sqrt {-1+x} \sqrt {-\sqrt {-1+x}+x}} \, dx\)
  3.5.55 \(\int \frac {1+x^{7/2}}{1-x^2} \, dx\)
  3.5.56 \(\int \frac {4+2 x}{\sqrt [3]{-1+2 x}+\sqrt {-1+2 x}} \, dx\)
  3.5.57 \(\int \frac {1}{\sqrt {2+\sqrt {1+\sqrt {x}}}} \, dx\)
  3.5.58 \(\int \sqrt {2+\sqrt {4+\sqrt {x}}} \, dx\)
  3.5.59 \(\int \sqrt {2-\sqrt {4+\sqrt {-9+5 x}}} \, dx\)
  3.5.60 \(\int \frac {1}{\sqrt {2+\sqrt {1+\sqrt {x}}}} \, dx\)
  3.5.61 \(\int \sqrt {1+\sqrt {1+\sqrt {1+\sqrt {x}}}} \, dx\)
  3.5.62 \(\int \sqrt {2+\sqrt {3+\sqrt {-1+2 \sqrt {x}}}} \, dx\)
  3.5.63 \(\int \sqrt {1+\sqrt {1+\sqrt {-1+x}}} x \, dx\)
  3.5.64 \(\int \frac {1}{\sqrt {-1+x} \sqrt {-\sqrt {-1+x}+x}} \, dx\)
  3.5.65 \(\int \frac {1}{\sqrt {1+x+\sqrt {-1+2 x}}} \, dx\)
  3.5.66 \(\int \frac {q+p x}{\sqrt {b+a x} (f+\sqrt {b+a x})} \, dx\)
  3.5.67 \(\int \sqrt {1-\sqrt {x}-x} \, dx\)
  3.5.68 \(\int \frac {9+6 \sqrt {x}+x}{4 \sqrt {x}+x} \, dx\)
  3.5.69 \(\int \frac {6-8 x^{7/2}}{5-9 \sqrt {x}} \, dx\)
  3.5.70 \(\int \frac {\sqrt {1+x} (1+x^3)}{1+x^2} \, dx\)
  3.5.71 \(\int \frac {\sqrt {-1-\sqrt {x}+x}}{(-1+x) \sqrt {x}} \, dx\)
  3.5.72 \(\int \frac {1+2 \sqrt {1+x}}{x \sqrt {1+x} \sqrt {x+\sqrt {1+x}}} \, dx\)
  3.5.73 \(\int \frac {1}{\sqrt {x} \sqrt {1+x}} \, dx\)
  3.5.74 \(\int \frac {\sqrt {\frac {x}{1+x}}}{x} \, dx\)
  3.5.75 \(\int \frac {\sqrt {x}}{\sqrt {1+x}} \, dx\)
  3.5.76 \(\int \sqrt {\frac {x}{1+x}} \, dx\)
  3.5.77 \(\int \frac {\sqrt {-1+x}}{x^2 \sqrt {1+x}} \, dx\)
  3.5.78 \(\int \frac {\sqrt {\frac {-1+x}{1+x}}}{x^2} \, dx\)
  3.5.79 \(\int \frac {\sqrt {-1+x} x^3}{\sqrt {1+x}} \, dx\)
  3.5.80 \(\int x^3 \sqrt {\frac {-1+x}{1+x}} \, dx\)
  3.5.81 \(\int \frac {\sqrt {-\frac {x}{1+x}}}{x} \, dx\)
  3.5.82 \(\int \frac {\sqrt {\frac {1-x}{1+x}}}{-1+x} \, dx\)
  3.5.83 \(\int \frac {\sqrt {\frac {a+b x}{c-b x}}}{a+b x} \, dx\)
  3.5.84 \(\int \frac {\sqrt {\frac {a+b x}{c+d x}}}{a+b x} \, dx\)
  3.5.85 \(\int \sqrt {-\frac {x}{1+x}} \, dx\)
  3.5.86 \(\int \sqrt {\frac {1-x}{1+x}} \, dx\)
  3.5.87 \(\int \sqrt {\frac {a+x}{a-x}} \, dx\)
  3.5.88 \(\int \sqrt {\frac {-a+x}{a+x}} \, dx\)
  3.5.89 \(\int \sqrt {\frac {a+b x}{c+d x}} \, dx\)
  3.5.90 \(\int \sqrt {\frac {-1+x}{5+3 x}} \, dx\)
  3.5.91 \(\int \frac {\sqrt {\frac {-1+5 x}{1+7 x}}}{x^2} \, dx\)
  3.5.92 \(\int \frac {x}{\sqrt {\frac {1-x}{1+x}} (1+x)} \, dx\)
  3.5.93 \(\int \frac {x}{(1+x) \sqrt {-1+\frac {2}{1+x}}} \, dx\)
  3.5.94 \(\int \frac {x}{(1+x) \sqrt {\frac {2+x}{3+x}}} \, dx\)
  3.5.95 \(\int \frac {\sqrt {1+\frac {1}{x}}}{(1+x)^2} \, dx\)
  3.5.96 \(\int \frac {\sqrt {1+\frac {1}{x}}}{\sqrt {1-x^2}} \, dx\)
  3.5.97 \(\int \frac {1}{x+\sqrt {3-2 x-x^2}} \, dx\)
  3.5.98 \(\int \frac {1}{(x+\sqrt {3-2 x-x^2})^2} \, dx\)
  3.5.99 \(\int \frac {1}{(x+\sqrt {3-2 x-x^2})^3} \, dx\)
  3.5.100 \(\int \frac {1}{x+\sqrt {-3-2 x+x^2}} \, dx\)