3.1 Integrals 1 to 100

  3.1.1 \(\int (a x^3+b x^6)^{5/3} \, dx\)
  3.1.2 \(\int (a x^3+b x^6)^{2/3} \, dx\)
  3.1.3 \(\int \frac {1}{(a x^3+b x^6)^{2/3}} \, dx\)
  3.1.4 \(\int \frac {1}{(a x^3+b x^6)^{5/3}} \, dx\)
  3.1.5 \(\int \frac {1}{-x^3+x^6} \, dx\)
  3.1.6 \(\int x^5 \sqrt {a^2+2 a b x^3+b^2 x^6} \, dx\)
  3.1.7 \(\int x^4 \sqrt {a^2+2 a b x^3+b^2 x^6} \, dx\)
  3.1.8 \(\int x^3 \sqrt {a^2+2 a b x^3+b^2 x^6} \, dx\)
  3.1.9 \(\int x^2 \sqrt {a^2+2 a b x^3+b^2 x^6} \, dx\)
  3.1.10 \(\int x \sqrt {a^2+2 a b x^3+b^2 x^6} \, dx\)
  3.1.11 \(\int \sqrt {a^2+2 a b x^3+b^2 x^6} \, dx\)
  3.1.12 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x} \, dx\)
  3.1.13 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^2} \, dx\)
  3.1.14 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^3} \, dx\)
  3.1.15 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^4} \, dx\)
  3.1.16 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^5} \, dx\)
  3.1.17 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^6} \, dx\)
  3.1.18 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^7} \, dx\)
  3.1.19 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^8} \, dx\)
  3.1.20 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^9} \, dx\)
  3.1.21 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^{10}} \, dx\)
  3.1.22 \(\int \frac {\sqrt {a^2+2 a b x^3+b^2 x^6}}{x^{11}} \, dx\)
  3.1.23 \(\int x^9 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.24 \(\int x^8 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.25 \(\int x^7 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.26 \(\int x^6 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.27 \(\int x^5 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.28 \(\int x^4 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.29 \(\int x^3 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.30 \(\int x^2 (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.31 \(\int x (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.32 \(\int (a^2+2 a b x^3+b^2 x^6)^{3/2} \, dx\)
  3.1.33 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x} \, dx\)
  3.1.34 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^2} \, dx\)
  3.1.35 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^3} \, dx\)
  3.1.36 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^4} \, dx\)
  3.1.37 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^5} \, dx\)
  3.1.38 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^6} \, dx\)
  3.1.39 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^7} \, dx\)
  3.1.40 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^8} \, dx\)
  3.1.41 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^9} \, dx\)
  3.1.42 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{10}} \, dx\)
  3.1.43 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{11}} \, dx\)
  3.1.44 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{12}} \, dx\)
  3.1.45 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{13}} \, dx\)
  3.1.46 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{14}} \, dx\)
  3.1.47 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{15}} \, dx\)
  3.1.48 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{16}} \, dx\)
  3.1.49 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{3/2}}{x^{17}} \, dx\)
  3.1.50 \(\int x^{13} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.51 \(\int x^{12} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.52 \(\int x^{11} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.53 \(\int x^{10} (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.54 \(\int x^9 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.55 \(\int x^8 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.56 \(\int x^7 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.57 \(\int x^6 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.58 \(\int x^5 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.59 \(\int x^4 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.60 \(\int x^3 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.61 \(\int x^2 (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.62 \(\int x (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.63 \(\int (a^2+2 a b x^3+b^2 x^6)^{5/2} \, dx\)
  3.1.64 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x} \, dx\)
  3.1.65 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^2} \, dx\)
  3.1.66 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^3} \, dx\)
  3.1.67 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^4} \, dx\)
  3.1.68 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^5} \, dx\)
  3.1.69 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^6} \, dx\)
  3.1.70 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^7} \, dx\)
  3.1.71 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^8} \, dx\)
  3.1.72 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^9} \, dx\)
  3.1.73 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{10}} \, dx\)
  3.1.74 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{11}} \, dx\)
  3.1.75 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{12}} \, dx\)
  3.1.76 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{13}} \, dx\)
  3.1.77 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{14}} \, dx\)
  3.1.78 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{15}} \, dx\)
  3.1.79 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{16}} \, dx\)
  3.1.80 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{17}} \, dx\)
  3.1.81 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{18}} \, dx\)
  3.1.82 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{19}} \, dx\)
  3.1.83 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{20}} \, dx\)
  3.1.84 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{21}} \, dx\)
  3.1.85 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{22}} \, dx\)
  3.1.86 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{23}} \, dx\)
  3.1.87 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{24}} \, dx\)
  3.1.88 \(\int \frac {(a^2+2 a b x^3+b^2 x^6)^{5/2}}{x^{25}} \, dx\)
  3.1.89 \(\int \frac {x^4}{\sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.90 \(\int \frac {x^3}{\sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.91 \(\int \frac {x^2}{\sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.92 \(\int \frac {x}{\sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.93 \(\int \frac {1}{\sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.94 \(\int \frac {1}{x \sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.95 \(\int \frac {1}{x^2 \sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.96 \(\int \frac {1}{x^3 \sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.97 \(\int \frac {1}{x^4 \sqrt {a^2+2 a b x^3+b^2 x^6}} \, dx\)
  3.1.98 \(\int \frac {x^4}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
  3.1.99 \(\int \frac {x^3}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)
  3.1.100 \(\int \frac {x^2}{(a^2+2 a b x^3+b^2 x^6)^{3/2}} \, dx\)