3.4 Integrals 301 to 400

  3.4.1 \(\int x^2 (a+b x)^{5/2} \, dx\)
  3.4.2 \(\int x (a+b x)^{5/2} \, dx\)
  3.4.3 \(\int (a+b x)^{5/2} \, dx\)
  3.4.4 \(\int \frac {(a+b x)^{5/2}}{x} \, dx\)
  3.4.5 \(\int \frac {(a+b x)^{5/2}}{x^2} \, dx\)
  3.4.6 \(\int \frac {(a+b x)^{5/2}}{x^3} \, dx\)
  3.4.7 \(\int \frac {(a+b x)^{5/2}}{x^4} \, dx\)
  3.4.8 \(\int \frac {(a+b x)^{5/2}}{x^5} \, dx\)
  3.4.9 \(\int x^7 (a+b x)^{9/2} \, dx\)
  3.4.10 \(\int x^6 (a+b x)^{9/2} \, dx\)
  3.4.11 \(\int x^5 (a+b x)^{9/2} \, dx\)
  3.4.12 \(\int x^4 (a+b x)^{9/2} \, dx\)
  3.4.13 \(\int x^3 (a+b x)^{9/2} \, dx\)
  3.4.14 \(\int x^2 (a+b x)^{9/2} \, dx\)
  3.4.15 \(\int x (a+b x)^{9/2} \, dx\)
  3.4.16 \(\int (a+b x)^{9/2} \, dx\)
  3.4.17 \(\int \frac {(a+b x)^{9/2}}{x} \, dx\)
  3.4.18 \(\int \frac {(a+b x)^{9/2}}{x^2} \, dx\)
  3.4.19 \(\int \frac {(a+b x)^{9/2}}{x^3} \, dx\)
  3.4.20 \(\int \frac {(a+b x)^{9/2}}{x^4} \, dx\)
  3.4.21 \(\int \frac {(a+b x)^{9/2}}{x^5} \, dx\)
  3.4.22 \(\int \frac {(a+b x)^{9/2}}{x^6} \, dx\)
  3.4.23 \(\int \frac {(a+b x)^{9/2}}{x^7} \, dx\)
  3.4.24 \(\int \frac {(a+b x)^{9/2}}{x^8} \, dx\)
  3.4.25 \(\int \frac {\sqrt {-a+b x}}{x} \, dx\)
  3.4.26 \(\int \frac {\sqrt {-a+b x}}{x^2} \, dx\)
  3.4.27 \(\int \frac {\sqrt {-a+b x}}{x^3} \, dx\)
  3.4.28 \(\int \frac {(-a+b x)^{3/2}}{x} \, dx\)
  3.4.29 \(\int \frac {(-a+b x)^{3/2}}{x^2} \, dx\)
  3.4.30 \(\int \frac {(-a+b x)^{3/2}}{x^3} \, dx\)
  3.4.31 \(\int \frac {(-a+b x)^{5/2}}{x} \, dx\)
  3.4.32 \(\int \frac {(-a+b x)^{5/2}}{x^2} \, dx\)
  3.4.33 \(\int \frac {(-a+b x)^{5/2}}{x^3} \, dx\)
  3.4.34 \(\int \frac {x^4}{\sqrt {a+b x}} \, dx\)
  3.4.35 \(\int \frac {x^3}{\sqrt {a+b x}} \, dx\)
  3.4.36 \(\int \frac {x^2}{\sqrt {a+b x}} \, dx\)
  3.4.37 \(\int \frac {x}{\sqrt {a+b x}} \, dx\)
  3.4.38 \(\int \frac {1}{\sqrt {a+b x}} \, dx\)
  3.4.39 \(\int \frac {1}{x \sqrt {a+b x}} \, dx\)
  3.4.40 \(\int \frac {1}{x^2 \sqrt {a+b x}} \, dx\)
  3.4.41 \(\int \frac {1}{x^3 \sqrt {a+b x}} \, dx\)
  3.4.42 \(\int \frac {1}{x^4 \sqrt {a+b x}} \, dx\)
  3.4.43 \(\int \frac {x^4}{(a+b x)^{3/2}} \, dx\)
  3.4.44 \(\int \frac {x^3}{(a+b x)^{3/2}} \, dx\)
  3.4.45 \(\int \frac {x^2}{(a+b x)^{3/2}} \, dx\)
  3.4.46 \(\int \frac {x}{(a+b x)^{3/2}} \, dx\)
  3.4.47 \(\int \frac {1}{(a+b x)^{3/2}} \, dx\)
  3.4.48 \(\int \frac {1}{x (a+b x)^{3/2}} \, dx\)
  3.4.49 \(\int \frac {1}{x^2 (a+b x)^{3/2}} \, dx\)
  3.4.50 \(\int \frac {1}{x^3 (a+b x)^{3/2}} \, dx\)
  3.4.51 \(\int \frac {x^4}{(a+b x)^{5/2}} \, dx\)
  3.4.52 \(\int \frac {x^3}{(a+b x)^{5/2}} \, dx\)
  3.4.53 \(\int \frac {x^2}{(a+b x)^{5/2}} \, dx\)
  3.4.54 \(\int \frac {x}{(a+b x)^{5/2}} \, dx\)
  3.4.55 \(\int \frac {1}{(a+b x)^{5/2}} \, dx\)
  3.4.56 \(\int \frac {1}{x (a+b x)^{5/2}} \, dx\)
  3.4.57 \(\int \frac {1}{x^2 (a+b x)^{5/2}} \, dx\)
  3.4.58 \(\int \frac {1}{x^3 (a+b x)^{5/2}} \, dx\)
  3.4.59 \(\int \frac {1}{x \sqrt {-a+b x}} \, dx\)
  3.4.60 \(\int \frac {1}{x^2 \sqrt {-a+b x}} \, dx\)
  3.4.61 \(\int \frac {1}{x^3 \sqrt {-a+b x}} \, dx\)
  3.4.62 \(\int \frac {1}{x (-a+b x)^{3/2}} \, dx\)
  3.4.63 \(\int \frac {1}{x^2 (-a+b x)^{3/2}} \, dx\)
  3.4.64 \(\int \frac {1}{x^3 (-a+b x)^{3/2}} \, dx\)
  3.4.65 \(\int \frac {1}{x (-a+b x)^{5/2}} \, dx\)
  3.4.66 \(\int \frac {1}{x^2 (-a+b x)^{5/2}} \, dx\)
  3.4.67 \(\int \frac {1}{x^3 (-a+b x)^{5/2}} \, dx\)
  3.4.68 \(\int \frac {x^{-1+m} (2 a m+b (-1+2 m) x)}{2 (a+b x)^{3/2}} \, dx\)
  3.4.69 \(\int (-\frac {b x^m}{2 (a+b x)^{3/2}}+\frac {m x^{-1+m}}{\sqrt {a+b x}}) \, dx\)
  3.4.70 \(\int \frac {x^{\frac {1-n}{2}+\frac {1}{2} (-3+n)}}{\sqrt {a+b x}} \, dx\)
  3.4.71 \(\int x^3 \sqrt [3]{a+b x} \, dx\)
  3.4.72 \(\int x^2 \sqrt [3]{a+b x} \, dx\)
  3.4.73 \(\int x \sqrt [3]{a+b x} \, dx\)
  3.4.74 \(\int \sqrt [3]{a+b x} \, dx\)
  3.4.75 \(\int \frac {\sqrt [3]{a+b x}}{x} \, dx\)
  3.4.76 \(\int \frac {\sqrt [3]{a+b x}}{x^2} \, dx\)
  3.4.77 \(\int \frac {\sqrt [3]{a+b x}}{x^3} \, dx\)
  3.4.78 \(\int x^3 (a+b x)^{2/3} \, dx\)
  3.4.79 \(\int x^2 (a+b x)^{2/3} \, dx\)
  3.4.80 \(\int x (a+b x)^{2/3} \, dx\)
  3.4.81 \(\int (a+b x)^{2/3} \, dx\)
  3.4.82 \(\int \frac {(a+b x)^{2/3}}{x} \, dx\)
  3.4.83 \(\int \frac {(a+b x)^{2/3}}{x^2} \, dx\)
  3.4.84 \(\int \frac {(a+b x)^{2/3}}{x^3} \, dx\)
  3.4.85 \(\int x^3 (a+b x)^{4/3} \, dx\)
  3.4.86 \(\int x^2 (a+b x)^{4/3} \, dx\)
  3.4.87 \(\int x (a+b x)^{4/3} \, dx\)
  3.4.88 \(\int (a+b x)^{4/3} \, dx\)
  3.4.89 \(\int \frac {(a+b x)^{4/3}}{x} \, dx\)
  3.4.90 \(\int \frac {(a+b x)^{4/3}}{x^2} \, dx\)
  3.4.91 \(\int \frac {(a+b x)^{4/3}}{x^3} \, dx\)
  3.4.92 \(\int \frac {x^3}{\sqrt [3]{a+b x}} \, dx\)
  3.4.93 \(\int \frac {x^2}{\sqrt [3]{a+b x}} \, dx\)
  3.4.94 \(\int \frac {x}{\sqrt [3]{a+b x}} \, dx\)
  3.4.95 \(\int \frac {1}{\sqrt [3]{a+b x}} \, dx\)
  3.4.96 \(\int \frac {1}{x \sqrt [3]{a+b x}} \, dx\)
  3.4.97 \(\int \frac {1}{x^2 \sqrt [3]{a+b x}} \, dx\)
  3.4.98 \(\int \frac {1}{x^3 \sqrt [3]{a+b x}} \, dx\)
  3.4.99 \(\int \frac {x^3}{\sqrt [3]{-a+b x}} \, dx\)
  3.4.100 \(\int \frac {x^2}{\sqrt [3]{-a+b x}} \, dx\)