3.7 Integrals 601 to 697

  3.7.1 \(\int x (a+b x^2)^{4/3} \, dx\)
  3.7.2 \(\int \frac {(a+b x^2)^{4/3}}{x} \, dx\)
  3.7.3 \(\int \frac {(a+b x^2)^{4/3}}{x^3} \, dx\)
  3.7.4 \(\int \frac {(a+b x^2)^{4/3}}{x^5} \, dx\)
  3.7.5 \(\int x (-1+x^2)^{7/3} \, dx\)
  3.7.6 \(\int \frac {x^7}{\sqrt [3]{a+b x^2}} \, dx\)
  3.7.7 \(\int \frac {x^5}{\sqrt [3]{a+b x^2}} \, dx\)
  3.7.8 \(\int \frac {x^3}{\sqrt [3]{a+b x^2}} \, dx\)
  3.7.9 \(\int \frac {x}{\sqrt [3]{a+b x^2}} \, dx\)
  3.7.10 \(\int \frac {1}{x \sqrt [3]{a+b x^2}} \, dx\)
  3.7.11 \(\int \frac {1}{x^3 \sqrt [3]{a+b x^2}} \, dx\)
  3.7.12 \(\int \frac {1}{x^5 \sqrt [3]{a+b x^2}} \, dx\)
  3.7.13 \(\int \frac {x^7}{(a+b x^2)^{2/3}} \, dx\)
  3.7.14 \(\int \frac {x^5}{(a+b x^2)^{2/3}} \, dx\)
  3.7.15 \(\int \frac {x^3}{(a+b x^2)^{2/3}} \, dx\)
  3.7.16 \(\int \frac {x}{(a+b x^2)^{2/3}} \, dx\)
  3.7.17 \(\int \frac {1}{x (a+b x^2)^{2/3}} \, dx\)
  3.7.18 \(\int \frac {1}{x^3 (a+b x^2)^{2/3}} \, dx\)
  3.7.19 \(\int \frac {1}{x^5 (a+b x^2)^{2/3}} \, dx\)
  3.7.20 \(\int \frac {x^7}{(a+b x^2)^{4/3}} \, dx\)
  3.7.21 \(\int \frac {x^5}{(a+b x^2)^{4/3}} \, dx\)
  3.7.22 \(\int \frac {x^3}{(a+b x^2)^{4/3}} \, dx\)
  3.7.23 \(\int \frac {x}{(a+b x^2)^{4/3}} \, dx\)
  3.7.24 \(\int \frac {1}{x (a+b x^2)^{4/3}} \, dx\)
  3.7.25 \(\int \frac {1}{x^3 (a+b x^2)^{4/3}} \, dx\)
  3.7.26 \(\int \frac {1}{x^5 (a+b x^2)^{4/3}} \, dx\)
  3.7.27 \(\int (c x)^{13/3} \sqrt [3]{a+b x^2} \, dx\)
  3.7.28 \(\int (c x)^{7/3} \sqrt [3]{a+b x^2} \, dx\)
  3.7.29 \(\int \sqrt [3]{c x} \sqrt [3]{a+b x^2} \, dx\)
  3.7.30 \(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{5/3}} \, dx\)
  3.7.31 \(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{11/3}} \, dx\)
  3.7.32 \(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{17/3}} \, dx\)
  3.7.33 \(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{23/3}} \, dx\)
  3.7.34 \(\int \frac {\sqrt [3]{a+b x^2}}{(c x)^{29/3}} \, dx\)
  3.7.35 \(\int (c x)^{13/3} (a+b x^2)^{4/3} \, dx\)
  3.7.36 \(\int (c x)^{7/3} (a+b x^2)^{4/3} \, dx\)
  3.7.37 \(\int \sqrt [3]{c x} (a+b x^2)^{4/3} \, dx\)
  3.7.38 \(\int \frac {(a+b x^2)^{4/3}}{(c x)^{5/3}} \, dx\)
  3.7.39 \(\int \frac {(a+b x^2)^{4/3}}{(c x)^{11/3}} \, dx\)
  3.7.40 \(\int \frac {(a+b x^2)^{4/3}}{(c x)^{17/3}} \, dx\)
  3.7.41 \(\int \frac {(a+b x^2)^{4/3}}{(c x)^{23/3}} \, dx\)
  3.7.42 \(\int \frac {(a+b x^2)^{4/3}}{(c x)^{29/3}} \, dx\)
  3.7.43 \(\int \frac {(c x)^{19/3}}{(a+b x^2)^{2/3}} \, dx\)
  3.7.44 \(\int \frac {(c x)^{13/3}}{(a+b x^2)^{2/3}} \, dx\)
  3.7.45 \(\int \frac {(c x)^{7/3}}{(a+b x^2)^{2/3}} \, dx\)
  3.7.46 \(\int \frac {\sqrt [3]{c x}}{(a+b x^2)^{2/3}} \, dx\)
  3.7.47 \(\int \frac {1}{(c x)^{5/3} (a+b x^2)^{2/3}} \, dx\)
  3.7.48 \(\int \frac {1}{(c x)^{11/3} (a+b x^2)^{2/3}} \, dx\)
  3.7.49 \(\int \frac {1}{(c x)^{17/3} (a+b x^2)^{2/3}} \, dx\)
  3.7.50 \(\int \frac {1}{(c x)^{23/3} (a+b x^2)^{2/3}} \, dx\)
  3.7.51 \(\int (c x)^{5/2} \sqrt [4]{a+b x^2} \, dx\)
  3.7.52 \(\int \sqrt {c x} \sqrt [4]{a+b x^2} \, dx\)
  3.7.53 \(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{3/2}} \, dx\)
  3.7.54 \(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{7/2}} \, dx\)
  3.7.55 \(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{11/2}} \, dx\)
  3.7.56 \(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{15/2}} \, dx\)
  3.7.57 \(\int \frac {\sqrt [4]{a+b x^2}}{(c x)^{19/2}} \, dx\)
  3.7.58 \(\int (c x)^{5/2} \sqrt [4]{a-b x^2} \, dx\)
  3.7.59 \(\int \sqrt {c x} \sqrt [4]{a-b x^2} \, dx\)
  3.7.60 \(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{3/2}} \, dx\)
  3.7.61 \(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{7/2}} \, dx\)
  3.7.62 \(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{11/2}} \, dx\)
  3.7.63 \(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{15/2}} \, dx\)
  3.7.64 \(\int \frac {\sqrt [4]{a-b x^2}}{(c x)^{19/2}} \, dx\)
  3.7.65 \(\int \frac {(c x)^{3/2}}{\sqrt [4]{a+b x^2}} \, dx\)
  3.7.66 \(\int \frac {1}{\sqrt {c x} \sqrt [4]{a+b x^2}} \, dx\)
  3.7.67 \(\int \frac {1}{(c x)^{5/2} \sqrt [4]{a+b x^2}} \, dx\)
  3.7.68 \(\int \frac {1}{(c x)^{9/2} \sqrt [4]{a+b x^2}} \, dx\)
  3.7.69 \(\int \frac {1}{(c x)^{13/2} \sqrt [4]{a+b x^2}} \, dx\)
  3.7.70 \(\int \frac {(c x)^{3/2}}{\sqrt [4]{a-b x^2}} \, dx\)
  3.7.71 \(\int \frac {1}{\sqrt {c x} \sqrt [4]{a-b x^2}} \, dx\)
  3.7.72 \(\int \frac {1}{(c x)^{5/2} \sqrt [4]{a-b x^2}} \, dx\)
  3.7.73 \(\int \frac {1}{(c x)^{9/2} \sqrt [4]{a-b x^2}} \, dx\)
  3.7.74 \(\int \frac {1}{(c x)^{13/2} \sqrt [4]{a-b x^2}} \, dx\)
  3.7.75 \(\int \frac {(c x)^{5/2}}{(a+b x^2)^{3/4}} \, dx\)
  3.7.76 \(\int \frac {\sqrt {c x}}{(a+b x^2)^{3/4}} \, dx\)
  3.7.77 \(\int \frac {1}{(c x)^{3/2} (a+b x^2)^{3/4}} \, dx\)
  3.7.78 \(\int \frac {1}{(c x)^{7/2} (a+b x^2)^{3/4}} \, dx\)
  3.7.79 \(\int \frac {1}{(c x)^{11/2} (a+b x^2)^{3/4}} \, dx\)
  3.7.80 \(\int \frac {(c x)^{5/2}}{(a-b x^2)^{3/4}} \, dx\)
  3.7.81 \(\int \frac {\sqrt {c x}}{(a-b x^2)^{3/4}} \, dx\)
  3.7.82 \(\int \frac {1}{(c x)^{3/2} (a-b x^2)^{3/4}} \, dx\)
  3.7.83 \(\int \frac {1}{(c x)^{7/2} (a-b x^2)^{3/4}} \, dx\)
  3.7.84 \(\int \frac {1}{(c x)^{11/2} (a-b x^2)^{3/4}} \, dx\)
  3.7.85 \(\int \frac {(c x)^{7/2}}{(a+b x^2)^{5/4}} \, dx\)
  3.7.86 \(\int \frac {(c x)^{3/2}}{(a+b x^2)^{5/4}} \, dx\)
  3.7.87 \(\int \frac {1}{\sqrt {c x} (a+b x^2)^{5/4}} \, dx\)
  3.7.88 \(\int \frac {1}{(c x)^{5/2} (a+b x^2)^{5/4}} \, dx\)
  3.7.89 \(\int \frac {1}{(c x)^{9/2} (a+b x^2)^{5/4}} \, dx\)
  3.7.90 \(\int \frac {1}{(c x)^{13/2} (a+b x^2)^{5/4}} \, dx\)
  3.7.91 \(\int x^7 (a+b x^2)^p \, dx\)
  3.7.92 \(\int x^5 (a+b x^2)^p \, dx\)
  3.7.93 \(\int x^3 (a+b x^2)^p \, dx\)
  3.7.94 \(\int x (a+b x^2)^p \, dx\)
  3.7.95 \(\int x^{-7-2 p} (a+b x^2)^p \, dx\)
  3.7.96 \(\int x^{-5-2 p} (a+b x^2)^p \, dx\)
  3.7.97 \(\int x^{-3-2 p} (a+b x^2)^p \, dx\)