3.1 Integrals 1 to 100

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