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