3.3.1 \(\int \frac {x^{11}}{(a x^2+b x^5)^3} \, dx\)
  3.3.2 \(\int \frac {x^9}{\sqrt {a x^2+b x^5}} \, dx\)
  3.3.3 \(\int \frac {x^6}{\sqrt {a x^2+b x^5}} \, dx\)
  3.3.4 \(\int \frac {x^3}{\sqrt {a x^2+b x^5}} \, dx\)
  3.3.5 \(\int \frac {1}{\sqrt {a x^2+b x^5}} \, dx\)
  3.3.6 \(\int \frac {1}{x^3 \sqrt {a x^2+b x^5}} \, dx\)
  3.3.7 \(\int \frac {x^{9/2}}{\sqrt {a x^2+b x^5}} \, dx\)
  3.3.8 \(\int \frac {x^{3/2}}{\sqrt {a x^2+b x^5}} \, dx\)
  3.3.9 \(\int \frac {1}{x^{3/2} \sqrt {a x^2+b x^5}} \, dx\)
  3.3.10 \(\int \frac {1}{x^{9/2} \sqrt {a x^2+b x^5}} \, dx\)
  3.3.11 \(\int \frac {x}{a x^3+b x^4} \, dx\)
  3.3.12 \(\int \frac {1}{a x^3+b x^4} \, dx\)
  3.3.13 \(\int \frac {x^4}{\sqrt {a x^3+b x^4}} \, dx\)
  3.3.14 \(\int \frac {x^3}{\sqrt {a x^3+b x^4}} \, dx\)
  3.3.15 \(\int \frac {x^2}{\sqrt {a x^3+b x^4}} \, dx\)
  3.3.16 \(\int \frac {x}{\sqrt {a x^3+b x^4}} \, dx\)
  3.3.17 \(\int \frac {1}{\sqrt {a x^3+b x^4}} \, dx\)
  3.3.18 \(\int \frac {1}{x \sqrt {a x^3+b x^4}} \, dx\)
  3.3.19 \(\int \frac {1}{x^2 \sqrt {a x^3+b x^4}} \, dx\)
  3.3.20 \(\int \frac {1}{x^3 \sqrt {a x^3+b x^4}} \, dx\)
  3.3.21 \(\int \frac {1}{x^4 \sqrt {a x^3+b x^4}} \, dx\)
  3.3.22 \(\int \frac {1}{x^3+b x^5} \, dx\)
  3.3.23 \(\int \frac {1}{-x^3+b x^5} \, dx\)
  3.3.24 \(\int \frac {1}{a x+b x} \, dx\)
  3.3.25 \(\int \frac {1}{(a x+b x)^2} \, dx\)
  3.3.26 \(\int \frac {1}{(a x+b x)^3} \, dx\)
  3.3.27 \(\int \frac {1}{a x^2+b x^2} \, dx\)
  3.3.28 \(\int \frac {1}{a x^n+b x^n} \, dx\)
  3.3.29 \(\int \frac {1}{(a x^n+b x^n)^2} \, dx\)
  3.3.30 \(\int \frac {1}{(a x^n+b x^n)^3} \, dx\)
  3.3.31 \(\int (a x+b x^{14})^{12} \, dx\)
  3.3.32 \(\int x^{12} (a x+b x^{26})^{12} \, dx\)
  3.3.33 \(\int x^{24} (a x+b x^{38})^{12} \, dx\)
  3.3.34 \(\int x^{12 (-1+m)} (a x+b x^{2+12 m})^{12} \, dx\)
  3.3.35 \(\int (a x+b x^{14})^{12} \, dx\)
  3.3.36 \(\int (a x^2+b x^{27})^{12} \, dx\)
  3.3.37 \(\int (a x^3+b x^{40})^{12} \, dx\)
  3.3.38 \(\int (a x^m+b x^{1+13 m})^{12} \, dx\)
  3.3.39 \(\int (a x^m+b x^{1+6 m})^5 \, dx\)
  3.3.40 \(\int \frac {1}{(b x^{1-2 m}+a x^m)^3} \, dx\)
  3.3.41 \(\int \frac {1}{\frac {b}{x}+a x} \, dx\)
  3.3.42 \(\int \frac {1}{\frac {b}{x^2}+a x} \, dx\)
  3.3.43 \(\int \frac {1}{\frac {b}{x^3}+a x} \, dx\)
  3.3.44 \(\int \frac {1}{(\frac {b}{x}+a x)^3} \, dx\)
  3.3.45 \(\int \frac {1}{(\frac {b}{x^3}+a x^2)^3} \, dx\)
  3.3.46 \(\int \frac {1}{(\frac {b}{x^5}+a x^3)^3} \, dx\)
  3.3.47 \(\int (\frac {a}{x}+b x)^2 \, dx\)
  3.3.48 \(\int (\frac {a}{x}+b x)^3 \, dx\)
  3.3.49 \(\int (\frac {a}{x}+b x)^4 \, dx\)
  3.3.50 \(\int \frac {1}{\frac {1}{x^2}+x^3} \, dx\)
  3.3.51 \(\int x^p (a x^n+b x^{1+13 n+p})^{12} \, dx\)
  3.3.52 \(\int x^{12} (a+b x^{13})^{12} \, dx\)
  3.3.53 \(\int x^{12} (a x+b x^{26})^{12} \, dx\)
  3.3.54 \(\int x^{12} (a x^2+b x^{39})^{12} \, dx\)
  3.3.55 \(\int x^{24} (a+b x^{25})^{12} \, dx\)
  3.3.56 \(\int x^{24} (a x+b x^{38})^{12} \, dx\)
  3.3.57 \(\int x^{36} (a+b x^{37})^{12} \, dx\)
  3.3.58 \(\int \frac {1}{a x+b x^n} \, dx\)
  3.3.59 \(\int \frac {1}{a x+b x^{1+n}} \, dx\)
  3.3.60 \(\int \frac {1}{a x+b x^{1-n}} \, dx\)
  3.3.61 \(\int \frac {1}{2 x+3 x^{1+n}} \, dx\)
  3.3.62 \(\int \frac {1}{2 x+3 x^{1-n}} \, dx\)
  3.3.63 \(\int \frac {1}{-\sqrt {x}+x} \, dx\)
  3.3.64 \(\int \frac {1}{-x^{3/5}+x} \, dx\)
  3.3.65 \(\int \frac {1}{\frac {1}{\sqrt [3]{x}}+x} \, dx\)
  3.3.66 \(\int \frac {1}{x+x^{\sqrt {2}}} \, dx\)
  3.3.67 \(\int x^{-1-\frac {j}{2}} \sqrt {a x^j+b x^n} \, dx\)
  3.3.68 \(\int (c x)^{-1-\frac {j}{2}} \sqrt {a x^j+b x^n} \, dx\)
  3.3.69 \(\int \frac {\sqrt {a x^3+b x^n}}{(c x)^{5/2}} \, dx\)
  3.3.70 \(\int \frac {\sqrt {a x^2+b x^n}}{c^2 x^2} \, dx\)
  3.3.71 \(\int \frac {\sqrt {a x+b x^n}}{(c x)^{3/2}} \, dx\)
  3.3.72 \(\int \frac {\sqrt {a+b x^n}}{c x} \, dx\)
  3.3.73 \(\int \frac {\sqrt {\frac {a}{x}+b x^n}}{\sqrt {c x}} \, dx\)
  3.3.74 \(\int \sqrt {\frac {a}{x^2}+b x^n} \, dx\)
  3.3.75 \(\int \sqrt {c x} \sqrt {\frac {a}{x^3}+b x^n} \, dx\)
  3.3.76 \(\int (c x)^{-1-\frac {3 j}{2}} (a x^j+b x^n)^{3/2} \, dx\)
  3.3.77 \(\int \frac {(a x^3+b x^n)^{3/2}}{(c x)^{11/2}} \, dx\)
  3.3.78 \(\int \frac {(a x^2+b x^n)^{3/2}}{c^4 x^4} \, dx\)
  3.3.79 \(\int \frac {(a x+b x^n)^{3/2}}{(c x)^{5/2}} \, dx\)
  3.3.80 \(\int \frac {(a+b x^n)^{3/2}}{c x} \, dx\)
  3.3.81 \(\int \sqrt {c x} (\frac {a}{x}+b x^n)^{3/2} \, dx\)
  3.3.82 \(\int c^2 x^2 (\frac {a}{x^2}+b x^n)^{3/2} \, dx\)
  3.3.83 \(\int (c x)^{7/2} (\frac {a}{x^3}+b x^n)^{3/2} \, dx\)
  3.3.84 \(\int c^5 x^5 (\frac {a}{x^4}+b x^n)^{3/2} \, dx\)
  3.3.85 \(\int \sqrt {\frac {a+b x}{x^2}} \, dx\)
  3.3.86 \(\int \sqrt {\frac {a+b x^2}{x^2}} \, dx\)
  3.3.87 \(\int \sqrt {\frac {a+b x^3}{x^2}} \, dx\)
  3.3.88 \(\int \sqrt {\frac {a+b x^n}{x^2}} \, dx\)
  3.3.89 \(\int \sqrt {\frac {-a+b x}{x^2}} \, dx\)
  3.3.90 \(\int \sqrt {\frac {-a+b x^2}{x^2}} \, dx\)
  3.3.91 \(\int \sqrt {\frac {-a+b x^3}{x^2}} \, dx\)
  3.3.92 \(\int \sqrt {\frac {-a+b x^n}{x^2}} \, dx\)
  3.3.93 \(\int \frac {(c x)^{-1+\frac {j}{2}}}{\sqrt {a x^j+b x^n}} \, dx\)
  3.3.94 \(\int \frac {\sqrt {c x}}{\sqrt {a x^3+b x^n}} \, dx\)
  3.3.95 \(\int \frac {1}{\sqrt {a x^2+b x^n}} \, dx\)
  3.3.96 \(\int \frac {1}{\sqrt {c x} \sqrt {a x+b x^n}} \, dx\)
  3.3.97 \(\int \frac {1}{c x \sqrt {a+b x^n}} \, dx\)
  3.3.98 \(\int \frac {1}{(c x)^{3/2} \sqrt {\frac {a}{x}+b x^n}} \, dx\)
  3.3.99 \(\int \frac {1}{c^2 x^2 \sqrt {\frac {a}{x^2}+b x^n}} \, dx\)
  3.3.100 \(\int \frac {1}{(c x)^{5/2} \sqrt {\frac {a}{x^3}+b x^n}} \, dx\)