3.23.1 \(\int \frac {x^m}{a+b x^{1+m}} \, dx\)
  3.23.2 \(\int x^m (a+b x^{1+m})^n \, dx\)
  3.23.3 \(\int x^m (a+b x^{2+2 m})^3 \, dx\)
  3.23.4 \(\int x^m (a+b x^{2+2 m})^2 \, dx\)
  3.23.5 \(\int x^m (a+b x^{2+2 m}) \, dx\)
  3.23.6 \(\int \frac {x^m}{a+b x^{2+2 m}} \, dx\)
  3.23.7 \(\int \frac {x^m}{(a+b x^{2+2 m})^2} \, dx\)
  3.23.8 \(\int \frac {x^m}{(a+b x^{2+2 m})^3} \, dx\)
  3.23.9 \(\int x^m (a+b x^{2+2 m})^{5/2} \, dx\)
  3.23.10 \(\int x^m (a+b x^{2+2 m})^{3/2} \, dx\)
  3.23.11 \(\int x^m \sqrt {a+b x^{2+2 m}} \, dx\)
  3.23.12 \(\int \frac {x^m}{\sqrt {a+b x^{2+2 m}}} \, dx\)
  3.23.13 \(\int \frac {x^m}{(a+b x^{2+2 m})^{3/2}} \, dx\)
  3.23.14 \(\int \frac {x^m}{(a+b x^{2+2 m})^{5/2}} \, dx\)
  3.23.15 \(\int \frac {x^m}{(a+b x^{2+2 m})^{7/2}} \, dx\)
  3.23.16 \(\int x^n \sqrt {1+x^{1+n}} \, dx\)
  3.23.17 \(\int x^n \sqrt {a^2+x^{1+n}} \, dx\)
  3.23.18 \(\int (c x)^m (a+b x^n)^2 \, dx\)
  3.23.19 \(\int (c x)^m (a+b x^3)^2 \, dx\)
  3.23.20 \(\int (c x)^m (a+b x^2)^2 \, dx\)
  3.23.21 \(\int (c x)^m (a+b x)^2 \, dx\)
  3.23.22 \(\int (a+\frac {b}{x})^2 (c x)^m \, dx\)
  3.23.23 \(\int (a+\frac {b}{x^2})^2 (c x)^m \, dx\)
  3.23.24 \(\int (a+\frac {b}{x^3})^2 (c x)^m \, dx\)
  3.23.25 \(\int \frac {(c x)^{-1-\frac {n}{2}}}{a+b x^n} \, dx\)
  3.23.26 \(\int \frac {(c x)^{-1-\frac {2 n}{3}}}{a+b x^n} \, dx\)
  3.23.27 \(\int \frac {(c x)^{-1-\frac {3 n}{4}}}{a+b x^n} \, dx\)
  3.23.28 \(\int \frac {(c x)^{-1-n}}{a+b x^n} \, dx\)
  3.23.29 \(\int \frac {(c x)^{-1-\frac {n}{2}}}{a+b x^n} \, dx\)
  3.23.30 \(\int \frac {(c x)^{-1-\frac {n}{3}}}{a+b x^n} \, dx\)
  3.23.31 \(\int \frac {(c x)^{-1-\frac {n}{4}}}{a+b x^n} \, dx\)
  3.23.32 \(\int \frac {(c x)^{-1-\frac {3 n}{2}}}{a+b x^n} \, dx\)
  3.23.33 \(\int \frac {(c x)^{-1-\frac {4 n}{3}}}{a+b x^n} \, dx\)
  3.23.34 \(\int \frac {(c x)^{-1-\frac {5 n}{4}}}{a+b x^n} \, dx\)
  3.23.35 \(\int \frac {(c x)^{-1+n}}{a+b x^n} \, dx\)
  3.23.36 \(\int \frac {(c x)^{-1+n}}{(a+b x^n)^2} \, dx\)
  3.23.37 \(\int \frac {(c x)^{-1+\frac {7 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.38 \(\int \frac {(c x)^{-1+\frac {5 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.39 \(\int \frac {(c x)^{-1+\frac {3 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.40 \(\int \frac {(c x)^{-1+\frac {n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.41 \(\int \frac {(c x)^{-1-\frac {n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.42 \(\int \frac {(c x)^{-1-\frac {3 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.43 \(\int \frac {(c x)^{-1-\frac {5 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.44 \(\int \frac {(c x)^{-1-\frac {7 n}{2}}}{\sqrt {a+b x^n}} \, dx\)
  3.23.45 \(\int (c x)^{-1-n-n p} (a+b x^n)^p \, dx\)
  3.23.46 \(\int (c x)^{-1-2 n-n p} (a+b x^n)^p \, dx\)
  3.23.47 \(\int (c x)^{-1-3 n-n p} (a+b x^n)^p \, dx\)
  3.23.48 \(\int (c x)^{-1-4 n-n p} (a+b x^n)^p \, dx\)
  3.23.49 \(\int (c (a+b x)^2)^{5/2} \, dx\)
  3.23.50 \(\int (c (a+b x)^2)^{3/2} \, dx\)
  3.23.51 \(\int \sqrt {c (a+b x)^2} \, dx\)
  3.23.52 \(\int \frac {1}{\sqrt {c (a+b x)^2}} \, dx\)
  3.23.53 \(\int \frac {1}{(c (a+b x)^2)^{3/2}} \, dx\)
  3.23.54 \(\int \frac {1}{(c (a+b x)^2)^{5/2}} \, dx\)
  3.23.55 \(\int \sqrt {(3+5 x)^2} \, dx\)
  3.23.56 \(\int \sqrt {(6+10 x)^2} \, dx\)
  3.23.57 \(\int \frac {1}{\sqrt {(3+5 x)^2}} \, dx\)
  3.23.58 \(\int \frac {1}{\sqrt {(6+10 x)^2}} \, dx\)
  3.23.59 \(\int \frac {1}{\sqrt {-(2+3 x)^2}} \, dx\)
  3.23.60 \(\int (c (a+b x)^3)^{5/2} \, dx\)
  3.23.61 \(\int (c (a+b x)^3)^{3/2} \, dx\)
  3.23.62 \(\int \sqrt {c (a+b x)^3} \, dx\)
  3.23.63 \(\int \frac {1}{\sqrt {c (a+b x)^3}} \, dx\)
  3.23.64 \(\int \frac {1}{(c (a+b x)^3)^{3/2}} \, dx\)
  3.23.65 \(\int \frac {1}{(c (a+b x)^3)^{5/2}} \, dx\)
  3.23.66 \(\int (\frac {c}{a+b x})^{5/2} \, dx\)
  3.23.67 \(\int (\frac {c}{a+b x})^{3/2} \, dx\)
  3.23.68 \(\int \sqrt {\frac {c}{a+b x}} \, dx\)
  3.23.69 \(\int \frac {1}{\sqrt {\frac {c}{a+b x}}} \, dx\)
  3.23.70 \(\int \frac {1}{(\frac {c}{a+b x})^{3/2}} \, dx\)
  3.23.71 \(\int \frac {1}{(\frac {c}{a+b x})^{5/2}} \, dx\)
  3.23.72 \(\int (\frac {c}{(a+b x)^2})^{5/2} \, dx\)
  3.23.73 \(\int (\frac {c}{(a+b x)^2})^{3/2} \, dx\)
  3.23.74 \(\int \sqrt {\frac {c}{(a+b x)^2}} \, dx\)
  3.23.75 \(\int \frac {1}{\sqrt {\frac {c}{(a+b x)^2}}} \, dx\)
  3.23.76 \(\int \frac {1}{(\frac {c}{(a+b x)^2})^{3/2}} \, dx\)
  3.23.77 \(\int \frac {1}{(\frac {c}{(a+b x)^2})^{5/2}} \, dx\)
  3.23.78 \(\int (\frac {c}{(a+b x)^3})^{5/2} \, dx\)
  3.23.79 \(\int (\frac {c}{(a+b x)^3})^{3/2} \, dx\)
  3.23.80 \(\int \sqrt {\frac {c}{(a+b x)^3}} \, dx\)
  3.23.81 \(\int \frac {1}{\sqrt {\frac {c}{(a+b x)^3}}} \, dx\)
  3.23.82 \(\int \frac {1}{(\frac {c}{(a+b x)^3})^{3/2}} \, dx\)
  3.23.83 \(\int \frac {1}{(\frac {c}{(a+b x)^3})^{5/2}} \, dx\)
  3.23.84 \(\int (c (a+b x)^{3/2})^{2/3} \, dx\)
  3.23.85 \(\int (c (a+b x)^{2/3})^{3/2} \, dx\)
  3.23.86 \(\int \frac {1}{(\frac {c}{(a+b x)^{3/2}})^{2/3}} \, dx\)
  3.23.87 \(\int \frac {1}{(\frac {c}{(a+b x)^{2/3}})^{3/2}} \, dx\)
  3.23.88 \(\int (c+d x)^3 (a+b (c+d x)^2) \, dx\)
  3.23.89 \(\int (c+d x)^3 (a+b (c+d x)^2)^2 \, dx\)
  3.23.90 \(\int (c+d x)^3 (a+b (c+d x)^2)^3 \, dx\)
  3.23.91 \(\int \frac {2+x}{1+(2+x)^2} \, dx\)
  3.23.92 \(\int \frac {2+x}{(1+(2+x)^2)^2} \, dx\)
  3.23.93 \(\int \frac {2+x}{(1+(2+x)^2)^3} \, dx\)
  3.23.94 \(\int (c+d x)^5 (a+b (c+d x)^2)^p \, dx\)
  3.23.95 \(\int (c+d x)^3 (a+b (c+d x)^2)^p \, dx\)
  3.23.96 \(\int (c+d x) (a+b (c+d x)^2)^p \, dx\)
  3.23.97 \(\int (c+d x)^3 (a+b (c+d x)^3) \, dx\)
  3.23.98 \(\int (c+d x)^3 (a+b (c+d x)^3)^2 \, dx\)
  3.23.99 \(\int (c+d x)^3 (a+b (c+d x)^3)^3 \, dx\)
  3.23.100 \(\int (c e+d e x)^3 (a+b (c+d x)^3) \, dx\)