3.2 Integrals 101 to 200

  3.2.1 \(\int \frac {(b x^{2/3}+a x)^{3/2}}{x^2} \, dx\)
  3.2.2 \(\int \frac {(b x^{2/3}+a x)^{3/2}}{x^3} \, dx\)
  3.2.3 \(\int \frac {(b x^{2/3}+a x)^{3/2}}{x^4} \, dx\)
  3.2.4 \(\int \frac {(b x^{2/3}+a x)^{3/2}}{x^5} \, dx\)
  3.2.5 \(\int \frac {(b x^{2/3}+a x)^{3/2}}{x^6} \, dx\)
  3.2.6 \(\int \frac {x^4}{\sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.7 \(\int \frac {x^3}{\sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.8 \(\int \frac {x^2}{\sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.9 \(\int \frac {x}{\sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.10 \(\int \frac {1}{\sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.11 \(\int \frac {1}{x \sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.12 \(\int \frac {1}{x^2 \sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.13 \(\int \frac {1}{x^3 \sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.14 \(\int \frac {1}{x^4 \sqrt {b x^{2/3}+a x}} \, dx\)
  3.2.15 \(\int \frac {x^4}{(b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.16 \(\int \frac {x^3}{(b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.17 \(\int \frac {x^2}{(b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.18 \(\int \frac {x}{(b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.19 \(\int \frac {1}{(b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.20 \(\int \frac {1}{x (b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.21 \(\int \frac {1}{x^2 (b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.22 \(\int \frac {1}{x^3 (b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.23 \(\int \frac {1}{x^4 (b x^{2/3}+a x)^{3/2}} \, dx\)
  3.2.24 \(\int x^2 (a x^2+b x^3) \, dx\)
  3.2.25 \(\int x (a x^2+b x^3) \, dx\)
  3.2.26 \(\int (a x^2+b x^3) \, dx\)
  3.2.27 \(\int \frac {a x^2+b x^3}{x} \, dx\)
  3.2.28 \(\int \frac {a x^2+b x^3}{x^2} \, dx\)
  3.2.29 \(\int x^2 (a x^2+b x^3)^2 \, dx\)
  3.2.30 \(\int x (a x^2+b x^3)^2 \, dx\)
  3.2.31 \(\int (a x^2+b x^3)^2 \, dx\)
  3.2.32 \(\int \frac {(a x^2+b x^3)^2}{x} \, dx\)
  3.2.33 \(\int \frac {(a x^2+b x^3)^2}{x^2} \, dx\)
  3.2.34 \(\int \frac {x^6}{a x^2+b x^3} \, dx\)
  3.2.35 \(\int \frac {x^5}{a x^2+b x^3} \, dx\)
  3.2.36 \(\int \frac {x^4}{a x^2+b x^3} \, dx\)
  3.2.37 \(\int \frac {x^3}{a x^2+b x^3} \, dx\)
  3.2.38 \(\int \frac {x^2}{a x^2+b x^3} \, dx\)
  3.2.39 \(\int \frac {x}{a x^2+b x^3} \, dx\)
  3.2.40 \(\int \frac {1}{a x^2+b x^3} \, dx\)
  3.2.41 \(\int \frac {1}{x (a x^2+b x^3)} \, dx\)
  3.2.42 \(\int \frac {1}{x^2 (a x^2+b x^3)} \, dx\)
  3.2.43 \(\int \frac {x^8}{(a x^2+b x^3)^2} \, dx\)
  3.2.44 \(\int \frac {x^7}{(a x^2+b x^3)^2} \, dx\)
  3.2.45 \(\int \frac {x^6}{(a x^2+b x^3)^2} \, dx\)
  3.2.46 \(\int \frac {x^5}{(a x^2+b x^3)^2} \, dx\)
  3.2.47 \(\int \frac {x^4}{(a x^2+b x^3)^2} \, dx\)
  3.2.48 \(\int \frac {x^3}{(a x^2+b x^3)^2} \, dx\)
  3.2.49 \(\int \frac {x^2}{(a x^2+b x^3)^2} \, dx\)
  3.2.50 \(\int \frac {x}{(a x^2+b x^3)^2} \, dx\)
  3.2.51 \(\int \frac {1}{(a x^2+b x^3)^2} \, dx\)
  3.2.52 \(\int \frac {1}{x (a x^2+b x^3)^2} \, dx\)
  3.2.53 \(\int x^2 \sqrt {a x^2+b x^3} \, dx\)
  3.2.54 \(\int x \sqrt {a x^2+b x^3} \, dx\)
  3.2.55 \(\int \sqrt {a x^2+b x^3} \, dx\)
  3.2.56 \(\int \frac {\sqrt {a x^2+b x^3}}{x} \, dx\)
  3.2.57 \(\int \frac {\sqrt {a x^2+b x^3}}{x^2} \, dx\)
  3.2.58 \(\int \frac {\sqrt {a x^2+b x^3}}{x^3} \, dx\)
  3.2.59 \(\int \frac {\sqrt {a x^2+b x^3}}{x^4} \, dx\)
  3.2.60 \(\int \frac {\sqrt {a x^2+b x^3}}{x^5} \, dx\)
  3.2.61 \(\int x^2 (a x^2+b x^3)^{3/2} \, dx\)
  3.2.62 \(\int x (a x^2+b x^3)^{3/2} \, dx\)
  3.2.63 \(\int (a x^2+b x^3)^{3/2} \, dx\)
  3.2.64 \(\int \frac {(a x^2+b x^3)^{3/2}}{x} \, dx\)
  3.2.65 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^2} \, dx\)
  3.2.66 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^3} \, dx\)
  3.2.67 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^4} \, dx\)
  3.2.68 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^5} \, dx\)
  3.2.69 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^6} \, dx\)
  3.2.70 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^7} \, dx\)
  3.2.71 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^8} \, dx\)
  3.2.72 \(\int \frac {(a x^2+b x^3)^{3/2}}{x^9} \, dx\)
  3.2.73 \(\int \frac {x^4}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.74 \(\int \frac {x^3}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.75 \(\int \frac {x^2}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.76 \(\int \frac {x}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.77 \(\int \frac {1}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.78 \(\int \frac {1}{x \sqrt {a x^2+b x^3}} \, dx\)
  3.2.79 \(\int \frac {1}{x^2 \sqrt {a x^2+b x^3}} \, dx\)
  3.2.80 \(\int \frac {1}{x^3 \sqrt {a x^2+b x^3}} \, dx\)
  3.2.81 \(\int \frac {x^6}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.82 \(\int \frac {x^5}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.83 \(\int \frac {x^4}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.84 \(\int \frac {x^3}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.85 \(\int \frac {x^2}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.86 \(\int \frac {x}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.87 \(\int \frac {1}{(a x^2+b x^3)^{3/2}} \, dx\)
  3.2.88 \(\int \frac {1}{x (a x^2+b x^3)^{3/2}} \, dx\)
  3.2.89 \(\int \frac {1}{x^2 (a x^2+b x^3)^{3/2}} \, dx\)
  3.2.90 \(\int \frac {x^{7/2}}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.91 \(\int \frac {x^{5/2}}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.92 \(\int \frac {x^{3/2}}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.93 \(\int \frac {\sqrt {x}}{\sqrt {a x^2+b x^3}} \, dx\)
  3.2.94 \(\int \frac {1}{\sqrt {x} \sqrt {a x^2+b x^3}} \, dx\)
  3.2.95 \(\int \frac {1}{x^{3/2} \sqrt {a x^2+b x^3}} \, dx\)
  3.2.96 \(\int \frac {1}{x^{5/2} \sqrt {a x^2+b x^3}} \, dx\)
  3.2.97 \(\int \frac {1}{x^{7/2} \sqrt {a x^2+b x^3}} \, dx\)
  3.2.98 \(\int x^{-2-3 n} (a x^2+b x^3)^n \, dx\)
  3.2.99 \(\int x^{-3-3 n} (a x^2+b x^3)^n \, dx\)
  3.2.100 \(\int x^{-4-3 n} (a x^2+b x^3)^n \, dx\)